Coach Walker wants to buy equal numbers of footballs and basketballs for her PE class. The footballs cost $9 each, and the basketballs cost $7 each. Coach Walker has $208 for the purchase. How many of each type of ball can she buy?

Answers

Answer 1

Answer:

13 footballs and 13 basketballs

Step-by-step explanation:

Let f = footballs

b = basketballs

f=b since we are buying an equal number

9f+7b = 208

Substitute f=b

9f+7f = 208

16f = 208

Divide by 16

16f/16 = 208/16

f=13

We are buying 13 footballs

Since f=b

We are buying 13 basketballs


Related Questions

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$14,000

Step-by-step explanation:

i = prt

i= ($70,000)(.04)(5)

i = $14,000

Answer:

$14000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 70000 × 4/100 × 5

I = $14000

Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

Answers

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:

Opinion A: Improving the healthcare system is more important than improving the education system.

Opinion B: Improving the education system is more important than improving the healthcare system.

Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."

The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."

Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)

Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)

Answers

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

an isosceles trapezoid is a trapezoid with congruent legs. true or false?

Answers

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

What is geometry?

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.


Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

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Find the value ox x. (Circles)

Answers

Answer:

x = 140 degrees

Step-by-step explanation:

Lets say that the other part of the circle we don't know is y. Because the chords are equal distance, that means that the amount of circle the cut off is equal so y also equals 100.

And y + x + 100 + 20 = 360

100 + x + 100 + 20 =360

x + 220 = 360 Subtract 220 from both sides.

x = 140

Find two numbers, if their sum is 49 and their difference is 1/2 .

Answers

Answer:

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Step-by-step explanation:

Let the two numbers be x and y

So we have:

[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]

using the elimination method, add the two equations together:

[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]

solve for x:

[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]

substitute our value for x back into the first equation we made:

[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]

therefore,

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem and leaf plot. (9,16,9,15,20,13,7,26,9,44)

Answers

Answer:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit.

Step-by-step explanation:

For this case we have the following dataset given:

9,16,9,15,20,13,7,26,9,44

The first step is order the data on increasing way and we got:

7,9,9,9, 13,15, 16,20,26,44

And we can create the stem plot like this:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit

Take a number from 2 to 9
Double it
Again double it
Add the number you took
first to the answer
Now again double it
Divide by 10 what did you got
ans below which no. did you took and what did you get the ans​

Answers

Answer:

7

Step-by-step explanation:

It worked my number was 7.

7*2=14

14*2=24

24+7=35

35*2=70

70/10=7

7!!!

Help pleaseeeeeee

find the code for section 8

need help now pleaseeeee

Answers

Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

Answers

Answer:

c

Step-by-step explanation:

The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Given:

The number of violet balls is 2.

The number of pink balls is 4.

To find:

The probability of getting violet first and pink next, if the first ball drawn is replaced.

Explanation:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Total number of balls is:

[tex]2+4=6[/tex]

The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].

The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].

The probability of getting violet first and pink next, if the first ball drawn is replaced is:

[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]

[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]

[tex]P=\dfrac{2}{9}[/tex]

Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Learn more:

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Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.

What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

1.8 meters
3.7 meters
15.2 meters
18.8 meters

Answers

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

How to calculate the length of an arc

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

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what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x

Answers

Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

does anybody know where i can watch baruto dub for free all episodes no downloads

Answers

Answer:

They have it on Hulu

Step-by-step explanation:

and I heard something about Naruto360.com.

Answer:

I watched it on Utube

Step-by-step explanation:

You can find the episodes free on Utube just type in the episode and you can find it in many languages

The volume of a cylinder is 40 Feet cubed. Which expression represents the volume of a cone with the same base and height as the cylinder?

Answers

Answer:

40/3 feet³

Step-by-step explanation:

Volume of cylinder = 3 × volume of cone with same base and height

40 = 3 × Volume of cone

Volume of cone = 40/3 feet³

Answer:

I think da answer is C on edge

Step-by-step explanation:

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?

Answers

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

The position of each boat can be modeled by a first order equation.

I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So

[tex]A(t) = 0 + 3t[/tex]

They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So

[tex]B(t) = 30 - 6t[/tex]

How soon will the boats meet?

This is t when:

[tex]A(t) = B(t)[/tex]

[tex]3t = 30 - 6t[/tex]

[tex]9t = 30[/tex]

[tex]t = \frac{30}{9}[/tex]

[tex]t = 3.33[/tex]

The boats will meet in 3.33 hours.

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters

Answers

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3

Answers

Answer:

A. 144 units³

Step-by-step explanation:

Volume of prism= 1/2×height× base × length

Height= 3

Base= 8

Length= 12

Lets put all of these together

1/2×3 × 8 × 12

1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³

Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Price of one drink is $9.25

Step-by-step explanation:

Let the price of a bag of popcorn be p.

Let the price of a drink be d.

Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:

2p + 2d = 39 ____________(1)

Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:

8p + 10d = 174.50 _________(2)

We now have two system of equations which we can use to find the price of a bag of popcorn and drink:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Multiply (1) by 4 subtract from (2):

 8p + 10d = 174.50 _______(2)

- 8p + 8d = 156    __________(1)

        2d = 18.50

=>       d = $9.25

The price of one drink is $9.25

Stefan bought 2 turkey sandwiches and 5 ham sandwiches for a total cost of $40.50. Nancy bought 4 turkey sandwiches and 1 ham sandwich for a total cost of $31.50. The equations below represent Stefan's and Nancy's purchases.

Answers

Answer:

Price of each turkey sandwich = $6.5

price of each ham sandwich = $5.5

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

Step-by-step explanation:

Let

price of each turkey sandwich = a

price of each ham sandwich = b

Stefan purchase

2a + 5b = 40.50.........(i)

Nancy purchase

4a + b = 31.50..............(ii)

combine the equations

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

b = 31.50 - 4a

insert the value of b in equation(i)

2a + 5b = 40.50.........(i)

2a + 5(31.50 - 4a) = 40.50

2a + 157.5 - 20a = 40.50

-18a = 40.50 - 157.5

-18a = -117

divide both sides by -18

a = -117/-18

a = 6.5

insert the value of a in equation(ii)

4a + b = 31.50..............(ii)

4(6.5) + b = 31.50

26 + b = 31.50

b = 31.50 - 26

b = 5.5

Price of turkey sandwich = $6.5

price of ham sandwich = $5.5

16.8=2.4e
find the value of E

Answers

Divide both sides by 2.4
e=7

Answer:

[tex]e = 7[/tex]

Step-by-step explanation:

[tex]16.8 = 2.4e \\ \frac{16.8}{2.4} = \frac{2.4e}{2.4} \\ \: \: \: \: \: 7 = e[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

write an expression for the perimeter of the rectangle given 3x+4 and 2x-3​

Answers

Answer:

2(3x+4) + 2(2x-3)

Step-by-step explanation:

this is because to be able to find the perimeter you use the formula 2(l) + 2(w)

The expression for the perimeter of the rectangle is 10x + 2.

What is the expression for the perimeter of the rectangle?

Given the sides of the rectangle:

Length = 3x+4

Width = 2x-3

To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.

The expression for the perimeter (P) is calculated as follows:

Perimeter = 2(Length + Width)

Plug these values into the perimeter formula:

P = 2(3x+4 + 2x-3)

Now, let's simplify the expression:

P = 2(5x + 1)

Finally, we can further simplify it:

P = 10x + 2

Therefore, the perimeter is 10x + 2.

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Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?

0.2

0.1

0.8

0.9

Answers

Answer:

0.8

Step-by-step explanation:


Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30

Answers

Answer:

D) 2x² + 4x - 30

Step-by-step explanation:

Follow the FOIL method:

FOIL =

First

Outside

Inside

Last

...and is the order you multiply to solve:

(x + 5)(2x - 6) =

(x)(2x) = 2x²

(x)(-6) = -6x

(5)(2x) = 10x

(5)(-6) = -30

Combine like terms. Simplify:

2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30

2x² + 4x - 30 is your answer.

~

a tile pattern has 6 times as many white squares as gray squares.there are 48 white tiles in the pattern.how many gray tiles are there?

Answers

8. You would take 48 (white tiles) then divide it by 6 to get 8. (Grey tiles)

There are 8 white squares in the tile pattern.

Given that, there are 48 white tiles in the pattern.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gray squares be x.

Here, a tile pattern has 6 times as many white squares as gray squares

Then, white squares = 6x

Now, 6x=48

⇒ x=8

Therefore, there are 8 white squares in the tile pattern.

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c(1)=-20 c(n)=c(n-1)+10 find second term

Answers

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10


The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?

Answers

Answer: 0.75

Step-by-step explanation: just had the question on usa tp

Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_

Answers

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

Answer:

14 cups of flour are needed for 1 cup of sugar.

Step-by-step explanation:

Use a ratio.

cups of flour : cups of sugar

               1 3/4 : 1/8

                     ? : 1

We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.

1 3/4 * 8 = 14

Therefore, 14 cups of flour are needed for 1 cup of sugar.

Tell me if this was helpful:)

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