Jon mixes 1/2 cup of milk and 1 cup of flour to make pancake batter .he uses 1/6 of the batter to make each pancake .how many pancakes can he make

Answer:

Macy’s

Step-by-step explanation:

let’s find the cost of each shirt

JCPenny’s: 14.99 x 0.80 = $11.99

                   11.99 x 1.06 = $12.70

                   The final cost of the JCPenny shirt is $12.70

Macy’s: 17.99 x 0.65 = $11.69

             11.69 x 1.07 = $12.51

             The final cost of the Macy’s shirt is $12.51

$12.51 is less than $12.70

So, the Macy’s shirt is the better deal :)

Based on the given conditions, formulate: 9÷(6+10+9)

Calculate the sum or difference: 9/16+9

Calculate the sum or difference:9/25

Multiply a number to both the numerator and the denominator:9 x 4/25 x 4

Calculate the product or quotient: 36/100

Rewrite a fraction with denominator equals 100 to a percentage is 36%

therefore  the percentage of the students preferred netball is 36%.

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The value of angle RTS is determined as 75⁰.

The value of angle RTS depends on the value of the arc angle SR.

The value of arc angle SR is calculated by finding the value of x, and we will have the following equation.

38x - 2 + 18x - 2 + 34x + 4 = 360 (sum of angles in a circle)

90x = 360

x = 360/90

x = 4

The value of arc angle SR = 38x - 2

= 38(4) - 2

= 150⁰

The value of angle RTS is equal to half of arc angle SR (based on intersecting chord theorem)

∠RTS = ¹/₂ x 150⁰

∠RTS =  75⁰

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Answer:

5. a) 5b

   b) 3b + 2b

Step-by-step explanation:

a) b + b + b + b + b is the same as

5 * b or 5b

b) 5b = 3b + 2b

or 3 * b + 2* b = 5b

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

We can determine if the high school's claim is justified or not.
  State the conclusion in terms of the null and alternative hypotheses, mentioning whether we reject or fail to reject the null hypothesis.

To determine if the high school's claim is justified, we can use hypothesis testing.

1. State the null and alternative hypotheses:
  - Null hypothesis (H0): The mean math SAT score of the high school students is equal to the average score (524).
  - Alternative hypothesis (Ha): The mean math SAT score of the high school students is higher than the average score (524).

2. Set the significance level (α):
  - Let's assume a significance level of 0.05.

3. Calculate the test statistic:
  - We will use the Z-test since we have the population standard deviation.
  - The formula for the Z-test is: Z = (sample mean - population mean) / (standard deviation / √sample size)
\(- Z = (561 - 524) / (116 / √40)\)
  - Calculate Z to find the test statistic.

4. Determine the critical value:
  - Since we have a one-tailed test (we are checking if the mean is higher), we will compare the test statistic to the critical value at α = 0.05.
  - Look up the critical value in the Z-table for a one-tailed test.

5. Compare the test statistic and critical value:
  - If the test statistic is greater than the critical value, we reject the null hypothesis.
  - If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis.

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Answer:

the question

Step-by-step explanation:

because it litterly has dancer and in the question it has the greater final score.

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

The maximum value of h is -1/2

Step-by-step explanation:

Since a is negative, the parabola opens downwards. Therefore, we look for the maximum value of h. We can find this by finding the x-coordinate of the vertex which is x=-b/2a=-(-4)/2(-4)=4/-8=-1/2

Therefore, the maximum value of h is -1/2

Answer: £784.08

Step-by-step explanation:

First find 1% of 800, which is 800/100=£8

800-8= £792 after 1 year

find 1% of 792, which is 792/100=£7.92

792-7.92= £784.08

The surface area of a cylinder can be calculated using the formula:

Surface area = 2πr² + 2πrh

where r is the radius of the base and h is the height of the cylinder.

Let's assume that the radius of the base of the smaller cylinder is r, then the radius of the base of the larger cylinder is 4/3 r, since the height is increased by 5 inches or 1/3 of the original height.

So, the surface area of the smaller cylinder is:

Surface area = 2πr² + 2πrh

And the surface area of the larger cylinder is:

Surface area = 2π(4/3 r)² + 2π(4/3 r)(15)

Simplifying these expressions, we get:

Surface area of smaller cylinder = 2πr² + 30πr

Surface area of larger cylinder = 2π(16/9 r²) + 40πr

Now we can find the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder:

Ratio = Surface area of larger cylinder / Surface area of smaller cylinder

= (2π(16/9 r²) + 40πr) / (2πr² + 30πr)

Simplifying this expression, we get:

Ratio = (32/9 r + 40) / (2r + 30)

= (32/9 r + 40) / 2(r + 15)

Since the cylinders are similar, the ratio of their surface areas is proportional to the square of the ratio of their heights:

Ratio = (20/15)²

= 1.7778

So the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is approximately 1.7778, or 1.78 to two decimal places.

Answer:

16:9

Step-by-step explanation:

I took the test

Explanation

Given that Omar paid an $8 fee to start the scooter plus 6 cents per minute of the ride. We can express this as

Let the number of minutes be x. Therefore, we will have

as the payment for riding the bicycle over x minutes.

Therefore, since the total bill for Omar’s ride was $19.34, we will have;

Hence;

Answer: 189 minutes

Answer:

after 8 years the value of the car would be $8,173.42

Step-by-step explanation:

the given P=15250

r=7.5/100=0.075

t=x

y = 15250*(1 - 0.075)^x

after 8 years we would have

x = 8

y = 15250*(1 - 0.075)^8

y = $8,173.42

after 8 years the value of the car would be $8,173.42

Answer:

8173.42

Step-by-step explanation:

I just know it's correct

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer:

y=\(-\frac{4}{3}\)x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is \(-\frac{4}{3}\), and we can substitute it into our equation, which is completed and is now

y=\(-\frac{4}{3}\)x+2

I hope this helps you out!! Have an awesome day ^^

Answer: 11

Step-by-step explanation:

Answer:

22.5 m/h and 7.5 m/h

Step-by-step explanation:

Let's said that x is the speed of the faster car. That means the slower one must have the speed of x/3.

x/3 * 3 + 45 = x * 3

x + 45 = 3x

45 = 3x - x

45 = 2x

x = 22.5

x/3 = 7.5

Answer:

I think the answer is 1/2 but dont take my word

Answer:

36 Degrees

Step-by-step explanation:

First the entire angle of BAC is 71 degrees, so all you have to do is subtract the known angle (2) by the entire angle. 71-35= 36. So that means the measure of angle 1 is 36 degrees.

Answer:

a). AB = 8 in

b). AB = 9.75 in

c). AC = 6.5 in

d). BC = 1.5 in

Step-by-step explanation:

a). Since, AB = AC + CB

   Length of AC = 5 in. and CB = 3 in.

   Therefore, AB = 5 + 3 = 8 in.

b). Given : AC = 6.25 in and CB = 3.5 in

   Therefore, AB = AC + CB = 6.25 + 3.5

   AB = 9.75 in.

c). Given: AB = 10.2 in. and BC = 3.7 in.

    AB = AC + BC

    AC = AB - BC

    AC = 10.2 - 3.7

    AC = 6.5 in

d). Given: AB = 4.75 in and AC = 3.25 in.

   BC = AB - AC

   BC = 4.75 - 3.25 = 1.5 in.

Answer:

73,205 vinyls

Step-by-step explanation:

To calculate the number of vinyls sold we need to calculate the compounded increase. To do this we simply raise the number of times that the initial value increases by the number of difference in years from the start to the current year. Then we multiply this number by the initial number of vinyl records. Since there are 4 years between 2012 and 2016, the formula would be the following...

50,000 * \(1.1^{4}\) = x

50,000 * 1.4641 = x

73,205 = x

Finally, we can see that there will be a total of 73,205 vinyls in 2016

The probability mass function of the hypergeometric distribution can be written as:

P(X = x) = (M choose x) * (N-M choose n-x) / (N choose n)

n = total number of oranges in the group from which the 50 pieces are selected
m = total number of successes (i.e. oranges) in the group from which the 50 pieces are selected
n [ choose ] m = number of ways to choose m oranges out of n oranges in the group
success [ choose ] = the desired outcome of selecting an orange in each trial (i.e. success)
the key components of a hypergeometric distribution. In this case, we are randomly selecting 50 pieces, and the random variable X represents the number of oranges selected. Here are the components:

1. Population size (N): The total number of pieces in the population.
2. Number of successes in the population (M): The total number of oranges in the population.
3. Sample size (n): The number of pieces you are selecting, which is 50 in this case.
4. Number of successes in the sample (x): The number of oranges selected in the sample, represented by the random variable X.

The probability mass function of the hypergeometric distribution can be written as:

P(X = x) = (M choose x) * (N-M choose n-x) / (N choose n)

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Answer:

divide

Step-by-step explanation:

the symbol means divide like for instance 1/2 you would divide 1 divided by 2 to get the decimal

The new class mean of the given information in percent  = 73%

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

A total of 2160 points would be earned if 30 students obtained an average grade of 72.

= 30 x 72

= 2160

If six students had an average of 78, their total points would be 6 x 78, or 468.

= 6 x 78

= 468

points are the result of adding the points from both groups.

2160 + 468

= 2628

An average of 73 is obtained by dividing 2628 by 36.

It represents a 73% proportion.

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I understand that the question you are looking for is:

In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the other six students took the test and their mean score was $78 \%$. What is the new class mean? Express your answer as a percent.

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Answer:

im sorry i dont know good luck

Step-by-step explanation:

The three digit number is 727 while the one digit number is 4

Given data

The sum of a three-digit number and a one-digit number is 731.

The product of the numbers is 2,908

let three digit number be x, y, and z

let the one digit be w

The sum

xyz + w =731

xyz * w = 2,908

making xyz the subject of formula

xyz = 731 - w

plugging in xyz into xyz * w = 2,908

( 731 - w ) * w = 2908

731w - w^2 = 2908

w^2 - 731w + 2908 = 0

solving the quadratic equation gives

w = 727 or 4

since w is a one digit number then w = 4

plugging in w = 4 into xyz + w =731 we have

xyz + w =731

xyz + 4 =731

xyz =731 - 4

xyz  = 727

Hence the three digit number is 727 while the one digit number is 4

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