Tonya baked two dozen cupcakes for the party. She frosted three-quarters of them with chocolate icing, and she frosted the rest with vanilla icing. How many of the frosted cupcakes had vanilla icing?

Answer:

after 3 months,  both plans cost the same amount

Step-by-step explanation:

Given the following information:

Plan 1: pay $20 per month, plus a $60 signing fee

=> the equation for this plan is:

y1 = 20x+60

Plan 2: pay $40 per month plus no signing fee

=> the equation for this plan is:  

y2 = 40x

To find number of months will both plans cost the same amount, we need to set the equation of plan 1 = equation of plan 2

<=> y1 = y2

<=> 20x+60 = 40x

<=> 20x = 60

<=> x = 3

So after 3 months,  both plans cost the same amount

Answer:

5.1 is rational because it can be expressed in the form of a fraction.  In proper form the fraction is 5 1/10 and in improper form it is 51/10.

Step-by-step explanation:

The speed of the first car is 60mph.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles.

Let n be the speed of the first car.

And the n + 10 be the speed of second car.

And t be the time take by both of the cars.

According to the question,

120 / n = 100 / n+10

Using cross multiplication,

20n = 1200

n = 1200 / 20

n = 60

Therefore, the value of n is 60mph.

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Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

The total number of pages that he read will be 210 pages.

Based on the equation given, the equation to represent Amir's information will be:

y = 35 × x

y = 35x

Jesse's equation will be:

y = 30(x + 1)

Then, we'll equate both equations together. This will be:

35x = 30(x + 1)

35x = 30x + 30

35x - 30x = 30

5x = 30

x = 30/5

x = 6

Therefore, the number of pages read will be:

y = 35x

y = 35 × 6

y = 210 pages.

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Answer:

90 men working for a company

Answer: 14

Step-by-step explanation: To get the hypotenus of a triangle all you have to do is:

7 x 7 = 14

1 x 1 = 1

14 x 1 = 14

14 x 14 = 196

square root of 196 is 14

Equation form:

a² + b² = c²

7² + 1² = 14²

Sqrt(196) = 14

Final answer:

The scale of the map is 1:30,000.

Explanation:

The scale of a map represents the relationship between the distance on the map and the corresponding distance on the Earth's surface. To find the scale of the map, we need to determine the ratio between the length of the field on the map and its actual length. In this case, the length of the field is 1.2 km, which is represented on the map by a line that is 40 mm long.

To calculate the scale, we can use the formula:

Scale = Actual length on the ground / Length on the map

Substituting the values, we get:
Scale = 1.2 km / 40 mm

First, we need to convert the length on the map to the same unit as the actual length. Since 1 km = 1,000,000 mm, we can convert mm to km by multiplying by 1/1,000,000:

Length on the map in km = 40 mm × (1 km / 1,000,000 mm) = 0.00004 km

Now we can calculate the scale:

Scale = 1.2 km / 0.00004 km = 30,000

Therefore, the scale of the map is 1:30,000.

Step-by-step explanation:

1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things

2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!

3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!

To round to the nearest hundredth, look at the third value to the right of the decimal point.

For instance, if there is a value 7.829, it would be rounded to 7.83, because 9 rounds up to 10. If the value was instead 7.821, it would be rounded to 7.82, because 1 rounds to 0.

However, the values listed are already rounded to the nearest hundredth, so no more work is required.

Answer:

No rounded needed.

Step-by-step explanation:

Answer:

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Step-by-step explanation:gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

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Answer:

429 increase

5929 end of year

Step-by-step explanation:

simply do 5500 times 1.078 to get 5929 as ur total subtract 5500 to tet your increase of 429

The answer is 429.also the amount is 439

Answer: the answer is B

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Answer:

The slope, 42, means that for each additional guest the cost of the banquet increases by 42 dollars.

Step-by-step explanation:

The slope of the equation given stands for the rate at which the cost is increasing for each additional guest at the banquet, in this case, $42 per guest.

In the equation C=750+42g, the slope is represented by the number 42. In the context of this problem, it is the cost per guest for the banquet. Meaning, for each additional guest (g), the total cost (C) of the banquet increases by $42. Therefore, the slope 42 signifies the rate at which the total cost of the banquet will increase per additional guest.

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Answer

option 2

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

just did the test aye

Answer is:

125/5+49

=74

Final answer:

After calculating distances between each pair of points and evaluating the properties of the resulting figure, it has been determined that the most precise name for the figure is a kite. This is due to the specific lengths of its sides and diagonals and their relationship to one another, which fits the definition of a kite.

Explanation:

To determine the most precise name for the figure formed by points A(-1,-4), B(-1,-1), C(4,1), and D(2,-2), we need to calculate the distances between each pair of points (sides of the figure) and evaluate their slopes where applicable.

AB = √(((-1)-(-1))^2 + ((-1)-(-4))^2) = 3

BC = √((4-(-1))^2 + (1-(-1))^2) = √(25 + 4) = √29

CD = √((4-2)^2 + (1-(-2))^2) = √(4 + 9) = √13

DA = √((2-(-1))^2 + ((-2)-(-4))^2) = √(9 + 4) = √13

AC (diagonal) = √((4-(-1))^2 + (1-(-4))^2) = √(25 + 25) = √50

BD (diagonal) = √((2-(-1))^2 + ((-2)-(-1))^2) = √(9 + 1) = √10

With sides AB and CD equal and AD and BC equal, and none of the sides being equal to each other, and considering two unequal diagonals, we can conclude that this figure is a kite, given that a kite has two pairs of adjacent sides that are equal but not all sides are equal and the diagonals are of different lengths.

Calculate the mean of the data set, find the absolute deviation of each data point, and then average those deviations. For this data set, the mean absolute deviation is 4.33.

To start off with, the mean absolute deviation is a measure of the dispersion or spread that represents the average difference between the values of the data set and the mean (average).

First, add up all the numbers of the data set. So, 8 + 6 + 6 + 18 + 17 + 11 = 66. Then divide this sum by the number of values (6) to calculate the mean (average). So, 66 ÷ 6 = 11.

Next, find the absolute deviation of each number in the set by subtracting the mean from each number and taking absolute value: |8-11|, |6-11|, |6-11|, |18-11|, |17-11|, |11-11|. This gives us: 3, 5, 5, 7, 6, 0.

Add these absolute deviations: 3 + 5 + 5 + 7 + 6 + 0 = 26. Then divide it by the count of the numbers in the data set (6). So, 26 ÷ 6 = 4.33, which is your mean absolute deviation to two decimal places.

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Final answer:

To find the mean absolute deviation for the data set 8, 6, 6, 18, 17, 11, you first calculate the mean of these numbers, then find the absolute deviations from this mean, and finally calculate the mean of those absolute deviations, which is approximately 4.33.

Explanation:

The student is asking how to find the mean absolute deviation (MAD) for a data set. The data set provided is 8, 6, 6, 18, 17, 11. To calculate the MAD, we first need to find the mean of the data set, then calculate the absolute deviation of each data value from the mean, and finally find the average of those absolute deviations.

Calculate the mean of the data set: (8 + 6 + 6 + 18 + 17 + 11) / 6 = 66 / 6 = 11.

Find the absolute deviation of each data value from the mean: |8 - 11| = 3, |6 - 11| = 5, |6 - 11| = 5, |18 - 11| = 7, |17 - 11| = 6, |11 - 11| = 0.

Calculate the mean of these absolute deviations: (3 + 5 + 5 + 7 + 6 + 0) / 6 = 26 / 6 = 4.33.

Hence, the mean absolute deviation for this data set is approximately 4.33.

Answer:

0

Step-by-step explanation:

Substituting y into equation 2...

3x - 3(x + 6) = 18

3x -3x -18 = 18

3x - 3x = 18 - 18

0 = 0

Answer:

x = 10

Step-by-step explanation:

2x-7=13

2x = 20  (Add 7 to both sides)

x = 10 (Divide by 2 on both sides)

Answer:

10

Step-by-step explanation:

2x - 7 = 13

2x = 13+7 = 20

x = 20/2 = 10

Answer:

Step-by-step explanation: since average speed = total distance/time

a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5

b)journey from my home town to B = 20 miles/30 minutes = 0.7

c)10 miles + 20 miles = 30 miles

which takes 50 minutes

so: 30 miles/50 minutes = 0.6

Answer:

we choose C

Step-by-step explanation:

We need to understand an infinite number of solutions happens when all numbers are solutions. This situation means that there is no one solution.

So let analyse 3 options:

A.

Substitute (2) in (1) we have:

2x – 6(x - 9)  = 18

<=> -4x + 54 = 18

<=> x = 9

=> y = 0

There is only 1 solution => A is wrong

B.

Substitute (1) in (2) we have:

(9+ 3y) + 3y = 9

<=> 3y = 0

<=> y = 0

=> x = 9

There is only 1 solution => B is wrong

C.

2x – 6y = 18  (1)

x – 3y = 9 <=> x = 9+ 3y (2)

Substitute (2) in (1) we have:  

2(9+3y) - 6y = 18

<=> 18 + 6y - 6y = 18

<=> 18=18

Yes, this system of equations has an infinite number of solutions

So we choose C

Final answer:

The system of equations with an infinite number of solutions is when one equation is a multiple of the other, which results in the same line and infinite solutions.

Explanation:

The system of equations that has an infinite number of solutions is:

A. 2x – 6y = 18
x – y = 9

To determine this, we notice that the second equation x - y = 9 is a multiple of the first equation 2x - 6y = 18. Since one equation is a multiple of the other, these equations represent the same line, leading to an infinite number of solutions.

Answer:

The answer is D.

Step-by-step explanation:

4/3 x - 4 = 5 + x

4/3 x = 9 +x

1/3 x = 9

x = 27

Answer:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

Answer:

3.64

Step-by-step explanation:

Based on the calculations, the radius of Circletown is equal to 3.64 kilometer.

Given the following data:

First of all, we would determine the area of Circletown by dividing the total population by its population density as follows:

Area = 20,000/480

Area = 41.67 square kilometer.

Mathematically, the area of a circle is calculated by using this formula:

Area = πr²

Where:

r is the radius of a circle.

Substituting the given parameters into the formula, we have;

41.67 = 3.142 × r²

r² = 41.67/3.142

r = √13.26

r = 3.64 kilometer.

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Answer:

416

Step-by-step explanation:

first find the area of the one triangle

12 times 8/2=96/2=48

and there are two triangles, so 48 times 2=96

and then find the area of one of the rectangle

10 times 12=120

and two are 10 times 10

10 times 10=100

100 times 2=200

200+120=320

320+96= 416

Answer:

1) 4/20

2) 11/20

3) 4/11

Step-by-step explanation:

Answer:

A, D, A  or 4/20, 11/20,  4/11

Step-by-step explanation:

i just did it on edge and it was correct

Step-by-step explanation:

Midpoint=(X1+X2/2,y1+y2/2

[(0+10)/2,(7-10)/2]

(5,-3/2)

Answer:

B. The center is at 2

Step-by-step explanation:

Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

[tex]Volume \: of \: cone \\ = \frac{1}{3} \times Volume \: of \: cylinder \\ = \frac{1}{3} \times132\pi \\ = 44\pi \: {cm}^{3} [/tex]

Answer:44 pi centimeters cubed

Step-by-step explanation:

The correct length of AC is 18