Mathematics High School

8. Larissa plans to bake at
most 10 loaves of bread.
She makes x loaves of banana bread that sell for
$1.25 each and y loaves of nut bread that sell for
$1.50 each. She hopes to make at least $24 in sales.
Write and graph a system of inequalities for this
situation. What does the
graph show?

Answers

Answer 1

The system of inequalities is:

x + y ≤ 10

x*$1.25 + y*$1.50 ≥ $24

And the graph can be seen below, on the graph, we can see that there are no solutions.

How to write and graph a system of inequalities?

So we need to start by defining the variables we will be using, these are:

x = number of loaves of banana bread.y = number of loaves of nut bread.

First, we know that Larissa wants to make at most 10 loaves of bread, then we can start with the inequality:

x + y ≤ 10

We also know that each banana bread sells for $1.25 and each but bread sells for $1.50, and she wants to make at least $24, then:

x*$1.25 + y*$1.50 ≥ $24

So the system of inequalities is:

x + y ≤ 10

x*$1.25 + y*$1.50 ≥ $24

So to graph these inequalities, we need to shade the region abovce the first line:

x + y = 10

and below the second line:

1.25*x + 1.50*x = 24

The graph of that system of inequalities can be seen below. The graph shows that the system has no real solutions (only has solutions for negative values of x).

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8. Larissa Plans To Bake Atmost 10 Loaves Of Bread.She Makes X Loaves Of Banana Bread That Sell For$1.25

Related Questions

Katy paid $23 to have her haircut. She left a 20% tip. Then she bought shampoo for $6. What was the total amount that she spent

Answers

answer should be $33.06
20% x 23 = 4.6
23+4.6+6 = 33.6

.3y + 3 (1 - y - y = 6

Answers

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

A spinner with 4 equal sections is spun 20 times. The frequency of spinning each color is recorded in the table below.

Outcome Frequency
Pink 6
White 3
Blue 7
Orange 4

What statement best compares the theoretical and experimental probability of landing on orange?
The theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.
The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.
The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.

Answers

Answer:

The theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.

Step-by-step explanationThe theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.:

Answer:

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

Step-by-step explanation:

Since the 4 sections are equal, theoretical probability is given by:

p = 1/4

Out of 20 trials, 4 resulted in pink, hence experimental probability is given by:

p = 4/20 = 0.2 = 20%.

Hence,

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

someone please help me, its due at 12! Please asap, ill mark brainlist

Answers

Clue #5
Answer=169
Explanation- Pythagorean theorem
a2 + b2 = c2

12(2)+ 5(2)=c2
144+25=169

Consider the quadric surface given by ( 3
x

) 2
−y+( 2
z

) 2
=0. (a) State the type of quadric surface defined by the above equation. (b) Sketch the trace obtained by intersecting the surface with the xy-plane. You do not need to sketch the surface. Just sketch the trace in the xy-plane. Describe the trace. (c) Describe the trace obtained by intersecting the surface with the plane y=1. You do not need to sketch the trace.

Answers

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Given quadric surface is ( 3x)² − y + (2z)² = 0.

The equation of a quadric surface can be given by Ax² + By² + Cz² + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0, where A, B, C, D, E, F, G, H, I, J ∈ ℝ and (x, y, z) ∈ ℝ³.

(a) Type of quadric surface defined by the above equation is an elliptic paraboloid.

(b) The trace obtained by intersecting the surface with the xy-plane can be obtained by replacing z with 0. So, the equation is 9x² - y = 0, which can be written as y = 9x².

The trace is a parabola which opens upwards and intersects the y-axis at the origin.

So, the equation is 9x² + 4z² = 1.The trace is an ellipse in the xz-plane, centered at the origin.

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

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A weight-lifting coach claims that weight-lifters can increase their strength by taking a certain supplement. To test the theory, the coach randomly selects 9 athletes and gh them a strength test using a bench press. The results are listed below. Thirty days later, after regular training using the supplement, they are tested again, Le each weight-lifter provides two measurements. What test would be appropriate to test the rich hypothesis that the average strength after taking the supplement is greater than the average strength before the supplement
Hypothesis test of two dependent means (paired t-test)
Hypothesis test of two independent means (pooled t-test)
Analysis of Variance (ANOVA)
Hypothesis test of one population meant

Answers

We can determine whether to reject the null hypothesis and support the coach's claim.

To test the research hypothesis that the average strength after taking the supplement is greater than the average strength before the supplement, a paired t-test would be appropriate. This test compares the means of two related samples, in this case, the strength measurements before and after taking the supplement from the same group of weightlifters.

By calculating the differences between the paired measurements and analyzing the t-statistic, we can assess the significance of the observed increase in strength. The null hypothesis assumes no difference between the average strengths, while the alternative hypothesis posits a greater average strength after taking the supplement.

By comparing the calculated t-value with the critical value at a chosen significance level, we can determine whether to reject the null hypothesis and support the coach's claim.

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I kind of understand but what I'm having trouble with is when u simply it 6/5 ×5/6=6/5×40 how are they getting 48 i get 33.3

Answers

37 = -3 + 5(x + 6)

Distributing:

37 = -3 + 5(x) + 5(6)

37 = -3 + 5x + 30

Commuting:

37 = -3 + 30 + 5x

37 = 27 + 5x

27 is adding on the right, then it will subtract on the left.

37 - 27 = 5x

10 = 5x

5 is multiplying on the right, then it will divide on the left

10/5 = x

2 = x

Line L is mapped onto line m by a dilation centered at the origin with a scale factor of 2/5. Line m is represented by y=2x+10 and it passes through the point (1, 12). Which of the following is true about line L?

Line L is parallel to m line
Line L is perpendicular to line m
Line L passes through the origin
Line L is the same as line m

Answers

Dilating a line changes the size of the line.

The true statement is (c) Line L passes through the origin

The scale of dilation is given as:

$\mathbf{k = \frac 25}$

The scale represents the slope of line L.

The equation of line M is:

$\mathbf{y = 2x + 10}$

From the above equation, the slope of line M is:

$\mathbf{m = 2}$

The two lines do not have the same slope.

This means that, the lines are not parallel and they are not the same line.

For the two lines to be perpendicular, then the relationship between their slopes is:

$\mathbf{m = -\frac 1k}$

The above is false, because:

$\mathbf{2 \ne -\frac 52}$

Hence, the true statement is (c) Line L passes through the origin

Answers

Answer:

Step-by-step explanation:

I don’t know

The city airport and the train station are 45 miles apart. there are 9 gas stations equally spaced between the airport and train station. how far apart are 2 adjacent gas stations?

Answers

The distance between the two adjacent gas stations will be 5 miles.

What is the difference between a ratio and a proportion?

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Distance between city airport and the train station = 45 miles

Stations equally spaced between the airport and train station=9

Let the space between two gas stations will be x;

x = 45/9

x=5 mile.

Hence, the distance between the two adjacent gas stations will be 5 miles.

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Remember, we always want to draw our image first. Figure 26. Line TV with midpoint U. Segment lengths has been appropriately labeled. Since we know is the midpoint, we can say Answer substituting in our values for each we get: Answer Solve for We now want to solve for . Answer Answer Solve for , , and This is just the first part of our question. Now we need to find , , and . Lets start with and . We know that so let’s substitute that in. Answer Answer We will do the same for . From our knowledge of midpoint, we know that should equal , however let’s do the math just to confirm. We know that so let’s substitute that in. Answer Answer Using the segment addition postulate we know: Answer

Answers

The blanks in each statement about the line segment should be completed as shown below.

How to fill in the blanks about the line segment?

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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Remember, we always want to draw our image first. Figure 26. Line TV with midpoint U. Segment lengths

An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?

Answers

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr * 2.5 hr = 1550 miles

(Note that 2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)

Jim is trying to solve the system of equations. He begins by multiplying equation (1) by d and equation (2) by a. Before he can continue, his friend angela comes by and says, "no, you should have multiplied equation (1) by e and equation (2) by b. You're going to get the wrong answer. " is angela right? why or why not?.

Answers

It depends on the values of a,b,d and e in the equations , different values may lead to different answers.

What is linear equation ?

A linear equation is an equation in which the highest power of the variable is 1. Linear equations can be written in the form of y = mx + b, where m is the slope of the equation, x is the variable, and b is the y-intercept, the point where the line crosses the y-axis. These equations are called linear because they describe a straight line when graphed.

It depends on the specific equations and the values of a, b, d and e in the system of equations. Multiplying both sides of an equation by a non-zero constant does not change the solution set of the equation.

However, if Jim wants to use the method of elimination, which is multiplying one equation by a constant and adding or subtracting it from the other equation, then it is important to ensure that the coefficients of one variable in the two equations are opposite in sign after the multiplication. This will enable him to eliminate one variable and find the value of the other variable.

It depends on the values of a,b,d and e in the equations , different values may lead to different answers.

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A wholesaler sells a guitar for $1,396.20. What is the percent markup based on cost if the wholesaler paid $780 for the guitar?

Answers

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

Given,

The cost price of the guitar = $780

The selling price of the guitar = $1396.20

We have to find the markup percent based on the cost;

Markup percentage;

The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.

Markup percent = (Selling price - cost price) / cost price x 100

= (1396.20 - 780) / 780 x 100

= 616.20 / 780 x 100

= 0.79 x 100

= 79%

That is,

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

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Fill in the blank. methods used that summarize or describe characteristics of data are called _______ statistics.

Answers

The methods used to summarize or describe characteristics of data are called descriptive statistics.

Descriptive statistics refers to the branch of statistics that focuses on summarizing and describing the main features or characteristics of a dataset. These statistics provide a way to organize, present, and analyze data to gain insights and understand the data's properties. Here are some key points about descriptive statistics:

Data summarization: Descriptive statistics aim to summarize the main aspects of a dataset, including measures of central tendency (such as mean, median, and mode) that provide information about the typical or average value of the data. Measures of dispersion (such as range, variance, and standard deviation) describe the spread or variability of the data points.

Presentation and visualization: Descriptive statistics often involve presenting data in a meaningful and concise manner. This can be done through various graphical representations, such as histograms, bar charts, box plots, or scatter plots. These visualizations help to provide a clear understanding of the distribution, patterns, and relationships within the data.

Sample statistics and population parameters: Descriptive statistics can be calculated for either a sample or an entire population. Sample statistics are calculated based on data from a subset of the population, while population parameters describe the entire population. Sample statistics, such as sample mean or sample standard deviation, provide estimates or approximations of the population parameters.

Descriptive statistics are widely used in various fields, including social sciences, business, healthcare, finance, and many others. They offer a concise and informative summary of data, enabling researchers, analysts, and decision-makers to gain insights, communicate findings, and make informed decisions based on the characteristics of the data.

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Results of a study were F (3, 12) = 2.72. Which of the following is the correct statistical decision?
Group of answer choices
Reject the null hypothesis, there was a statistically significant mean difference.
Reject the null hypothesis, there was not a statistically significant mean difference.
Fail to reject the null hypothesis, there was a statistically significant mean difference.
Fail to reject the null hypothesis, there was not a statistically significant mean difference.
How do you find the P-value?

Answers

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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The average of 16 numbers is 70. If the average of 15 of these numbers is 17, then the 16th number is?

Answers

Answer:

865

Step-by-step explanation:

16*70=1120

15*17=255

1120-255=865

Explain what the point (5, 7.5) represents in this situation.

Answers

Answer:

what situation

Step-by-step explanation:

Add a photo what situation are you talking about

Your friend has started a candle making business. She has invested $1,500 on equipment. The cost
of creating the candles including labour, candle wax, and all other materials is $12. She charges $23.50
for her services. How many candles does she need to sell in order to break even?

Answers

if She sells 131 candles, she will have earned enough revenue to cover her costs and break even.

To determine how many candles your friend needs to sell in order to break even, we need to calculate her total costs and total revenue.

First, let's calculate your friend's total costs per candle. She spends $12 on each candle, which includes the cost of labour, materials, and candle wax.

Next, let's calculate your friend's total revenue per candle. She charges $23.50 for each candle.

Now, we can calculate the number of candles your friend needs to sell in order to break even by setting the total revenue equal to the total cost:

$23.50x = $1,500 + $12x

where x is the number of candles your friend needs to sell.

Simplifying this equation, we get:

$23.50x - $12x = $1,500

$11.50x = $1,500

x = $1,500 ÷ $11.50

x = 130.43

Rounding up, your friend needs to sell 131 candles in order to break even.

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calculate the perimeter make sketch to help you length 8 unity width 4 unity

Answers

24 is the answer if its in units as described

Solve the inequalities. State whether the inequalities have no solutions or real solutions.7p - 11p + 3 > 3 - 4p

Answers

Given,

7p-11p+3>3-4p

-4p+3>3-4p

-4p>-4p

which is absured.

So there is no solution of the inequality.

What dividend is represented by the synthetic division below?

Answers

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

I took the test and I got a 100%

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

how many samples of size n=2 can be drawn from this population

Answers

The samples of size n = 2 that can be drawn from this population is 28

How many samples of size n=2 can be drawn from this population

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Answers

The probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries is 1.

We know that a pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes. Also, he buys 20 2-packs of AAAA batteries.So, the total number of batteries he bought = 20 × 2 = 40.Since a pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes.

This means that the standard deviation for 40 batteries will be calculated as follows:$$$\text{standard deviation for 1 pair of batteries} = 30 \text{ minutes}$$$$\text{standard deviation for 40 pairs of batteries} = 30/\sqrt{40} \text{ minutes} = 4.74 \text{ minutes}$$$

Hence, the mean time that he will get to use his laser pointer for 40 batteries will be 40 × 5 = 200 hours.

So, the probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries is calculated as follows:

$$$P(X \ge 105) = P\left(Z \ge \frac{105-200}{4.74}\right)$$$$\qquad \qquad \,\,\,\,\, = P(Z \ge -19.97)$$$$\qquad \qquad \,\,\,\,\, = 1 - P(Z \le -19.97) = 1$$$

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Each staple is made from 0.24 g of metal.
How many staples can be made from 1 kg of metal?

Answers

Answer is 0.00024 kg2

The equation 5 cos r 10 sin r cos x = 0 has two solutions in the interval What are they? (Note that are already there for you.) Smaller solution x = Larger solution x =

Answers

The equation 5cos(r) + 10sin(r)cos(x) = 0 has two solutions in the interval. The smaller solution for x can be found by solving the equation for x in the given interval, while the larger solution for x can also be determined in a similar manner.

However, without specific values provided for r or any other parameters, it is not possible to calculate the exact solutions. Hence, the direct answer is that the specific values of the smaller and larger solutions for x cannot be determined without additional information. The equation given has two solutions for x in the specified interval, but the exact values cannot be determined without more information.

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The equation 5 cos r 10 sin r cos x = 0 has two solutions in the interval What are they? (Note that are

help pleasejhdfjg THIS ASSIGNMENT IS LIKE 2 WEEKS OVERDUE

Answers

a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.

What is an area model?

An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.

a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.

b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.

2x⁴ − 3x³ − 2x² − 4x − 1

+---------------------------------------

x | 2x⁵ -3x⁴ -2x³ -4x² -x

3 | 6x⁴ -9x³ -6x² -12x -3

+---------------------------------------

c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.

x + 8 x - 5

+--------------------

x | x² + 8x x² - 5x

-5 | -5x + -40 -5x + 25

+--------------------

The final total area can be found by adding up the areas of the smaller rectangles:

Total area = x² + 8x + x² - 5x - 5x - 40 + 25

= 2x² - 10x - 15

= 2x² - 10x - 15.

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while on holiday, your family drove 648 km at an average speed of 72 km per hour. how long did it take them to cover the distance

Answers

Answer:

9hrs

Step-by-step explanation:

72 x 9 = 648

the product of 4 and the difference between 8 and 3

Answers

Answer:

Step-by-step explanation:

"Product" indicates that we need to use multiplication.

The difference of 8 and 3 is 5 because 8-3=5

When we put it all together, it becomes

4(8-3)

4(5)

the product of 4 and the difference between 8 and 3

4(8-3)4 × 520

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The graph shows the percent changes tn the annual city tax revenue for five cities from 1990 to 1995 and from 1995 to 2000. If the annual tax revenue in City B was $800,000 in 1990, what was the annual tax revenue in City B in 2000 ? $578,000 $680,000 $782,000 $800,000 $920,000

Answers

The annual tax revenue in City B in 2000 was $578,000.

From the graph, we can see that City B experienced a percent change of -28% from 1990 to 1995 and a percent change of -32% from 1995 to 2000

To find the annual tax revenue in City B in 2000, we start with the revenue in 1990, which is given as $800,000.

First, we calculate the tax revenue after the percent change from 1990 to 1995:

Revenue in 1995 = $800,000 + (-28% of $800,000) = $800,000 - $224,000 = $576,000

Next, we calculate the tax revenue after the percent change from 1995 to 2000:

Revenue in 2000 = $576,000 + (-32% of $576,000) = $576,000 - $184,320 = $391,680

Therefore, the annual tax revenue in City B in 2000 is $391,680, which is closest to $578,000 from the given answer choices.

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Other Questions

8. Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?

Answers

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8. Larissa plans to bake at
most 10 loaves of bread.
She makes x loaves of banana bread that sell for
$1.25 each and y loaves of nut bread that sell for
$1.50 each. She hopes to make at least $24 in sales.
Write and graph a system of inequalities for this
situation. What does the
graph show?