Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package. She planted 15 saplings and has at most 20 left. How many packages of saplings did she start with? What would the solution look like on a number line graph?
When Rita started, she had (A at least 7 ,B at most 7,C at most 4, D at least 4)
packages of saplings. The solution can be represented as (open circle, closed circle)
with an arrow to the (left,right)

Answer:

Please refer to attached image for the graph of inequality.

Step-by-step explanation:

Given the inequality:

\(y<-\dfrac{1}{5}x+1\)

To graph this, first let us convert it to corresponding equality.

\(y=-\dfrac{1}{5}x+1\)

As we can see that the above equation is a linear equation in two variables so it will be a straight line.

Now, let us find at least two points on the above equation so that we can plot them and then extend it to get the complete graph.

Two points that can be easily found, are:

1st put \(x = 0\) , \(y=-\frac{1}{5}\times 0+1 =1\)

So one point is (0, 1 )

Now, put y = 0,  

\(0=-\frac{1}{5}\times x+1\\\Rightarrow 1=\frac{1}{5}\times x\\\Rightarrow x = 5\)

Second point is (5, 0)

Let us plot the points on the graph and extend the straight line.

Now, we know that it is an inequality, the are will be shaded.

As there is no equal to sign in the inequality, so the line will be dashed.

Let us consider one point and check whether that satisfies the inequality or not.

If the point is satisfied in the inequality, we will shade that area towards the point.

Let us consider the point (0, 0).

0 < 0 +1

Point is satisfied.

Please refer to the attached image for the graph of given inequality.

According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

3  8/33

Hi there !

3.24 = 3  24/99 = 3  8/33

Good luck !

We are given the following:

\(-4\frac{5}{4}+\frac{8}{9}\)

The first thing we need to do is convert the mixed numbers into improper fractions.

\(4\frac{5}{4} = \frac{21}{4}\)

Now, we find the LCM (Least Common Multiple) of 4 and 9, which is 36. Then we adjust the fractions based on the LCM.

\(=-\frac{189}{36} +\frac{32}{36}\)

Next, we apply the fraction rule, \(\frac{a}{c}+\frac{b}{c} = \frac{a+b}{c}\) to the expression based on our information.

\(\frac{-189+32}{36}\)

Then, we add the numbers \(-189+32=-157\), writing the fraction as:

\(\frac{-157}{36}\)

Apply the fraction rule, \(\frac{-a}{b}=-\frac{a}{b}\).

\(-\frac{157}{36}\)

Finally, convert the improper fractions back to mixed numbers, and hence our solution:

\(-\frac{157}{36} = -4\frac{13}{36}\)

Hope this helps!

There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Let the two variables x and y.

Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have

The variable y is directly proportional to the variable x.

y ∝ x

When the proportionality sign is removed a constant k comes into the equation. That is given as

y = kx

There is a linear relationship between the variables x and y.

And the line that passes through the origin.

The graph is shown below.

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Answer:

Step-by-step explanation:

i cant see answers help my insta is 813.caden

Answer:

y+1=4(x-2)

y=4x+11

8x-2y+6

Step-by-step explanation:

Answer:

5: 2 or 10: 4

Step-by-step explanation:

as a ratio, this would be 5: 2.

Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get

10 : 4

The value of the trigonometric functions given that the point (-112, -15) is on the terminal side of an angle, θ is sin(θ)= y/r = -15/ 113 cos(θ)= x/r = -112/ 113 tan(θ)= y/x = -15/ -112 csc(θ)= r/y = 113/ -15 sec(θ)= r/x = 113/ -112.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

The terminal points are given as follows:

x = -112 and y = -15

Using the Pythagorean theorem we have:

x^2 + y^2 = r^2

(-112)^2 + (-15)^2 = r^2

12544 + 225 = r^2

r = 113

Now, the trigonometric functions is given as:

sin(θ)= y/r = -15/ 113

cos(θ)= x/r = -112/ 113

tan(θ)= y/x = -15/ -112

csc(θ)= r/y = 113/ -15

sec(θ)= r/x = 113/ -112

cot(θ)= x/y = -112/ -15

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The required expression for part A ⇒ 2x(3x-8)

The required expression for part B ⇒2x(3x-8)

Part A:

The area of the rectangular space is given by the expression 6x²-16x, which is equal to the length times the width. We are given that the width of the rectangular space is 2x.

Therefore, we can write:

length x width = area

length x (2x) = 6x²-16x

length = (6x²-16x) / (2x)

Simplify the expression for length by factoring out 2x from the numerator:

length = 2x(3x-8)

So the expression for the length of the rectangular space is 2x(3x-8).

Part B:

To prove that our expression for the length is correct, we can multiply it by the width and show that we get the original expression for the area:

length x width = 2x(3x-8) x (2x)

                        = 4x²(3x-8)

                        = 12x³ - 32x²

Now we can compare this result with the original expression for the area, which is 6x²-16x.

We can simplify the original expression by factoring out 2x:

6x²-16x = 2x(3x-8)

We can see that the expression we obtained by multiplying the length and the width is equivalent to the original expression for the area, so our expression for the length is correct.

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The measure of angle 1 from the given parallel lines is 95 degree.

From the given parallel lines, m∠6=85° and m∠3=2x.

Co-interior angles occur in between two parallel lines when they are intersected by a transversal. The two angles that occur on the same side of the transversal always add up to 180°.

From the given figure,

m∠6+m∠3=180°

85°+2x=180°

2x=95°

So, m∠3=2x=95°

m∠1=m∠3=95° (Vertically opposite angles are equal)

Therefore, the measure of angle 1 from the given parallel lines is 95 degree.

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Answer:

w∈ {-1/5, -5/3]

If this is what you were looking for...

Answer:

3.8

Step-by-step explanation:19 divided by 5 equals 3.8

The 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

To determine the 10%-90% rise time of a response, we need to find the time it takes for the response to go from 10% of its steady-state value to 90% of its steady-state value.

Looking at the graph or response data provided, we can estimate that the steady-state value of the response is approximately 1.4.

10% of 1.4 is 0.14, and 90% of 1.4 is 1.26.

So we need to find the time it takes for the response to go from 0.14 to 1.26.

By examining the graph or data, we can see that this occurs between t = 0.9 seconds and t = 1.2 seconds.

The difference between these two times is:

1.2 - 0.9 = 0.3 seconds

Therefore, the 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

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Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

The correct options from the question is

NO, YES, YES, NO in that order.

Number Sum is a way of putting all numbers together.

The sum brings two or more numbers together to make a new total number.

In the above question, Amy is correct because adding the decimals and then adding the exponents is not the correct procedure for adding numbers in scientific notation.

Amy is correct because 6.2 × 10^3 is a much smaller number than 8.0 × 10^7, so the sum of the two numbers cannot be as large as a decimal times 1010.

In conclusion, numbers can be added in any sequence.

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Answer:

(40-12)-(x·7)

Step-by-step explanation:

x is the price foreach of the 7 binders

Answer:

90 \(cm^{2}\)

Step-by-step explanation:

It's a parallelogram

So area of a parallelogram = base x height

A = 9 x 10

A = 90

Hope that helps!

Answer:

90

Step-by-step explanation:

Since this is a parallelogram, it's just A = BH, which they already give you both, the base and the height.

Base : 10

Height : 9

10x9=90

Answer:

9, 10, 11, 8.036 etc.

Step-by-step explanation:

Any number greater than 8.035

A z-statistic reports how many standard deviations an observed value is from the expected value, where the expected value is calculated using the population mean and standard deviation.

To calculate the z-statistic, use the following formula:

Where:

x = the observed value

μ = the population mean

σ = the population standard deviation

n = the sample size

The z-statistic tells us how many standard deviations an observed value is from the expected value, which is the population mean. A positive z-score indicates that the observed value is above the expected value, while a negative z-score indicates that the observed value is below the expected value. A z-score of 0 indicates that the observed value is equal to the expected value. By calculating the z-statistic, we can determine how unusual or significant an observed value is relative to the population.

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Complete Question:

a z-statistic reports how many sds an observed value is from the expected value, where the expected value is calculated using the___.

With the help of permutation and combination we conclude that the correct matches are:

Ordered selections with repetition: [choose]

Ordered selection without repetition: [choose]

Unordered selection without repetition: [choose]

Unordered selection with repetition: [choose]

What is permutation?

In mathematics and combinatorics, a permutation refers to an arrangement or ordering of objects. It is a way of selecting and arranging a set of items in a specific order.

Here's how the selection types correspond to the number of ways the selection can happen:

Ordered selections with repetition: [choose]

In this selection type, the order of selection matters, and repetition is allowed. This means that an object can be selected multiple times. The number of ways to make the selection is denoted by \(n^k\), where n represents the number of available objects and k represents the number of objects to be selected.

Ordered selection without repetition: [choose]

In this selection type, the order of selection matters, but repetition is not allowed. Each object can be selected only once. The number of ways to make the selection is denoted by P(n, k), which represents the number of permutations of k objects chosen from n distinct objects. The formula for P(n, k) is n! / (n - k)!

Unordered selection without repetition: [choose]

In this selection type, the order of selection does not matter, and repetition is not allowed. Each object can be selected only once. The number of ways to make the selection is denoted by C(n, k) or n choose k, which represents the number of combinations of k objects chosen from n distinct objects. The formula for C(n, k) is n! / (k! * (n - k)!).

Unordered selection with repetition: [choose]

In this selection type, the order of selection does not matter, and repetition is allowed. Each object can be selected multiple times. The number of ways to make the selection is denoted by C(n + k - 1, k) or (n + k - 1) choose k, which represents the number of combinations of k objects chosen from n distinct objects when repetition is allowed. The formula for C(n + k - 1, k) is (n + k - 1)! / (k! * (n - 1)!).

So, the correct matches are:

Ordered selections with repetition: [choose]

Ordered selection without repetition: [choose]

Unordered selection without repetition: [choose]

Unordered selection with repetition: [choose]

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Answer:

Local Time = 9:00

Date = Monday

Step-by-step explanation:

Singapore is located in the +8 time zone. An aeroplane

departs from Singapore at 3.00 p.m. (15:00) on Monday

and travels across the IDL to Honolulu located in the

-10 time zone. If it takes 12 hours for the journey, find

the local time and date when it arrives in Honolulu

Answer

The answer is 13

Step-by-step explanation:

1- Subtract the Input numbers from the Output numbers

2- Then subtract 4 from 17 .

3 You get 13

Using inequalities we know that x=68 and x=66 respectively.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

So, solve the inequalities as follows:

x+3>70

x>70-3

x>67

Then, it will be x = 68.

Then,

x+3<70

x<70-3

x<67

Then, it will be s = 66.

Therefore, using inequalities we know that x=68 and x=66 respectively.

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Answer:

18,243.906

Step-by-step explanation:

divide 24325.208 by 4 which gives you, 6,081.302. we then multiply by 3

plz give brainliest

Answer:

18,243.906

Step-by-step explanation:

24325.208 / 4 = 6081.302

6081.302 x 3 =18,243.906

We know that both Eric and Jordan will plant a total of 125 tomato seedlings if they work for 3 hours using mathematical operations.

So, the number of tomato seedlings they both will plant if they work for 3 hours:

Eric: Plant 50 seedlings in 2 hours.

In 1 hour: 50/2 = 25

In 3 hours: 75 seedlings

Jordan: Plant 50 seedlings in 3 hours:

So, the number of seedlings both Eric and Jordan will plant:

75 + 50

125

Therefore, we know that both Eric and Jordan will plant a total of 125 tomato seedlings if they work for 3 hours using mathematical operations.

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Answer:

50

Step-by-step explanation:

Because 84% out of 50 is 42

a) The simple interest that will be owed the bank by Diane after 76 days is $343.59.

b) The final amount that Diane will repay the bank after 76 days is $17,443.59.

The simple interest is an interest system that does not compound interest.

Compounding interest means that interest is added to the principal before subsequent interests are computed.

But under the simple interest system, interest is based on the principal from one period to the next.

The loan amount = $17,100

Simple interest rate = 9.65%

Loan period = 76 days

Total interest = $17,100 x 9.65% x 76/365 = $343.59

Final amount = $17,443.59 ($17,100 + $343.59)

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