Each football costs the same amount, and each basketball costs the same amount. At the first store, the coach paid $110 for 5 footballs and 14 basketballs. At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs. What was the cost in dollars of each basketball?

Answers

Answer 1

Answer:

$6.25

Step-by-step explanation:

Each football costs the same amount, and each basketball costs the same amount.

Let the cost of:

Footballs = f

Basketballs = b

Hence, we have the following system of equations

At the first store, the coach paid $110 for 5 footballs and 14 basketballs.

5f + 14b = 110

At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.

10f + 6b = 82.50

What was the cost in dollars of each basketball?

5f + 14b = 110..... Equation 1

10f + 6b = 82.50.....Equation 2

We solve using Elimination method.

Multiply Equation 1 by 10 and Equation 2 by 5 to eliminate f

50f + 140b = 1100.... Equation 3

50f +30b = 412.5.......Equation 4

Subtract Equation 4 from Equation 3

110b = 687.5

b= 687.5/110

b = $6.25

Therefore, the cost of one basketball in dollars = $6.25


Related Questions

Multiply and simplify
3√50 x √22

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times {5}^{2} } \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times 5 \sqrt{2} \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 15 \sqrt{ {2}^{2} \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 15 \times 2 \sqrt{11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \sqrt{11} [/tex]

Section 4 write a rational number for 2 out of 4 of the points on the number line? Pls help

Answers

Answer:

All the points to the right of 0 are rational

Step-by-step explanation:

rear above

All the points on the right of 0 are rational

if each value of the data of the poplation function is doubled which of the following is not correct?
A. the mean is doubled
B. the mode is doubled
C. the variance is doubled
D. the median is doubled

Answers

Answer:

The variance is doubled; C

Step-by-step explanation:

Here, we want to select what will be wrong if every number in the dataset is doubled

A. This is correct

The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers

By doubling the numbers, we have simply doubled the sum while the count is same

So what we have as the result of the division will be 2 times what we had initially making the mean doubled

B. The mode is doubled

Yes, this is correct

The mode is the highest in frequency

Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled

D. The median is doubled

This is correct

The median deals with the middle number.

Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly

C. This is wrong

The variance has to do with the spread of data

We are actually subtracting values

Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change

We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.

The probability that Joe passes his exams is 0.7 and the probability that he wins the raffle is 0.12. What is the probability that Joe fails his exams and wins the raffle?

Answers

Answer:

3.71 probability

Help me Asap,

Find the coordinates of the point of intersection of the lines 2x + y = - 1 and 3x - 4y = ​

Answers

Answer:  (- 0.3636, - 0.2727)

Step-by-step explanation:

2x + y = - 1

3x - 4y = ​0

X= - 0.3636

Y=  - 0.2727

Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *

Answers

Answer:

if it's wednesday

Step-by-step explanation:

I need help in like 1 minute pleaseee

Answers

It’s 88 not sure tho your welcome

5
Note that is the only solution to the equation 12y - 7 = 3. Which of the following is the solution set of the equation 12y - 7 = 3?
O [5,6]
° {{¹}
05
6
0 y = /1/201
°{}}
O

Answers

Answer: C

Step-by-step explanation: Good Luck

Answer:D

Step-by-step explanation:

12y-7=3

move the constant to the right

12y=3+7

calculate

12y=10

divide both sides

6y=5

GOODLUCK ;)

To go to school each day, Myra walks 20 yards due south to the bank then 48 yards east. Which measurement is closest to the shortest distance, in yards, from Myra's house to the school?

Answers

Answer:

52

Step-by-step explanation:

Answer:

68 yard

Step-by-step explanation:

just add the two numbers.              

I need help on the pic below

Answers

Answer:

u can use inspect element on the thing and itll show the answers

Step-by-step explanation:

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Since the room temperature is 22 degrees Celsius,

[tex]\frac{dT}{dt}=k(T-22)[/tex]

Solving the differential equation,

[tex]\frac{1}{T-22} dT=k dt \\ \\ \int \frac{1}{T-22} dT=\int k dt \\ \\ \ln|T-22|=kt+C[/tex]

When t=0, the temperature is 100 degrees.

[tex]\ln 78=C \\ \\ \implies \ln|T-22|=kt+\ln 78[/tex]

When t=1, the temperature is 80 degrees.

[tex]\ln 58=k+\ln 78 \implies k=\ln(29/39) \\ \\ \implies \ln|T-22|=t \ln(29/39)+\ln 78[/tex]

Setting t=4,

[tex]\ln|T-22|=4\ln(29/39)+\ln 78 \\ \\ T=22+e^{4\ln(29/39)+\ln 78} \approx \boxed{46}[/tex]

add to both sides: add what to both sides 8+1/9x+ =-4+

Answers

Answer:

Step-by-step explanation:

Now add - x to both sides by the addition rule. Remember, adding the same quantity to both sides of an inequality does not change its direction.

Order the following numbers from greatest to least. Put the greatest number on the left. 1.25 5 -4.5 -2​

Answers

Step-by-step explanation:

5, 1.25,-2, -4.5

Greatest-Least

Reduce completely!
[tex]\frac{3*3*4*4}{3*4*5*6}[/tex]

Answers

Answer: 2/5
Explanation:
Step-by - step
3•3•4•4/3•4•5•6
Cancel the common factor of 3
3•4•4/4•5•6
Cancel the common factor of 3 and 6
4•4/4•5•2
Cancel common factor of 4
4/5•2
Cancel the common factor of 4 and 2
2/5
Decimal form
0.4

FINDDDD VALUE OF Z !!!!!

Answers

I can help you did you ask Siri?

Just take a picture on Siri the would lead you to the answer.

Step-by-step explanation:

I hope that helps please give me Brainliest

z=9 hope this helps!!!

Can you have a triangle with sides 10, 11, and 12?

Answers

Answer:

I think yeah, triangle with this side are possible.

Answer:

I don think so they only have 3 sides so I think the answer is no

Step-by-step explanation:

please mark brainliest ☺♦

Helppp plzzz I’m trying to pass!!!!

Answers

Hi there! The answer is A. This is because, 6•3=18 and 10•3=30. Hope this helps and please mark brainliest!

Question 10 of 10
Use the equation e/5 = 30 to solve the following problem.
Mary sells fruit with four of her friends. They want to make
enough money so that, after splitting the earnings evenly,
each person earns $30. How much does the fruit stand
need to make?
A. $300
B. $60
C. $350
D. $150

Answers

I think it’s c but I’m not sure

Answer:

The answer is for sure!!!!! $150!!!

Step-by-step explanation:

$150!!!!!!!!!!!!!!!!!

SOMEONE PLS HELP!! 15 points

Answers

Answer:

5.3

Step-by-step explanation:

please help will choose brainliest!!!!!

Answers

Answer:

The answer is (C)

x=y+z+7

i think its C. Well it gotta be it

Select all that apply. There are 11 boys and 15 girls in a class. Which of the following show the ratio of girls to boys? 15.15​

Answers

Answer:

15:11

Step-by-step explanation:

well, girls to boys would be 15 to 11 because there are 15 girls and 11 boys. it cant be simplified further, so its 15:11

edit: I've noticed that it sounds like I'm saying girls is first because there are more, but it's because the question asks for girls to boys, not because there are more girls

Answer:

11:15

Step-by-step explanation:

Finding a ratio is very simple, all you have to do is take the first number, put a :, and then put the second number.

The : can also be replaced with a . or / so the answer to this question might also be seen as:

11/15

11.15

Through: (1, 5) perpendicular to: y = - ½ x + 4

Answers

Answer:

y = 2x+5

Step-by-step explanation:

?????? Help please .

Answers

Answer:

C is the correct answer to the question

help please with geometry

Answers

Answer: it's 9.79 (approximately 10)

Step-by-step explanation:

Use pythagorean theorem

“Find the (average) of the following set of data:12,20,1,20,8

Answers

Answer:

12.2

Step-by-step explanation:

First add all numbers.

Then divide it by the amount of numbers you added.

Then you have the average.

Hope this helped.

Answer: 12.2


Explanation: First you must add all the numbers up then divide them by the total amount of numbers example there are five numbers and they equal 20 then it will be 4 hoped I helped have a nice day (:

what is the inverse of f(x)=x^3-2

Answers

Answer:

what

Step-by-step explanation:

In a class of 30 students, the mean height of the 12 girls is 164 cm and the mean height of the 18 boys is 166 cm. Find the mean height of the whole class.​

Answers

Answer:

Mean between 164 and 166 is

Step-by-step explanation:

Mean between 164 and 166 is

Finding equation that passes through
(-3, -7) and (0, 8)

Answers

Answer:

y = 5x + 8

Explanation:

The slope is 5, and the y intercept is 8 so following the format of the equation, the equation for this line is:

y = 5x + 8

Answer; y= 5x+8
Hope it helps

please leave an explination ( step by step pleas!)

Answers

Answer:

y = 2/7x

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 2/7

y-intercept b = 0

Step 2: Write equation

Substitute [Form]:                    y = 2/7x + 0Simplify:                                    y = 2/7x
Answer: y=2/7x

Explanation: Slope-intercept form is y=mx+b the m meaning slope and the b meaning y-intercept, so by plugging in the variables in slope-intercept form it's y=2/7x+0; since the y-intercept is 0 it doesn't need to be in the equation so it's y=2/7x

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 30 POINTS .

Answers

Answer:

a200

Step-by-step explanation:

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