Coach Pettaway is buying basketball equipment for his team. He gets a
reduced rate if he buys 8 basketballs for every 3 jerseys. The reduced rate is $2.25
per basketball and $22.50 per jersey. The sales tax on each item is 6%. Coach
Pettaway has $400 in his budget to buy the basketballs and jerseys. What is the
greatest number of basketballs and jerseys he can buy at the reduced rate if the
ratio of basketballs to jerseys is 8:32 Show your work.

Answers

Answer 1
First, let’s all acknowledge that whoever comes up with problems like this WANTS kids to hate math...smh

I’m sure there is a prettier way to solve this, but here’s what I did:

8(2.25) + 3(22.50) =
18 + 67.50 = 85.50 per “set” of balls/jerseys
400/85.50 = 4.678 = number of “sets” he can buy. Round down to 4 so we have room for tax.

85.5 x 4 “sets”= $342
Tax on 342 is 0.06 x 342 = 20.52

$342 + 20.52 = $362.52 spent

Basketballs = 4 sets x 8 balls per set= 32
Jerseys = 4 sets x 3 jerseys per set= 12

32 basketballs, 12 jerseys, $362.52 spent


Related Questions

How long will the path be.

Answers

Given:

The side of the square garden is 30ft.

To find:

The length of the diagonal of the square garden.

Solution:

We know that, the length of the diagonal of a square is

[tex]d=a\sqrt{2}[/tex]         ...(i)

Where, a is the the side of the square.

We have,

Side of the square garden = 30 ft.

Putting a=30 in (i), we get

[tex]d=30\sqrt{2}[/tex]

The measure of the diagonal path is [tex]30\sqrt{2}[/tex] ft.

Therefore, the correct option is D.

I need help please!

Answers

Answer:

y=60x; 60 X 12= 720

Step-by-step explanation:

Answer:

60 x 12= 720

Car A will travel 720 miles

Step-by-step explanation:

PLZ mark me brainliest

Find the measure of angle 4.

Answers

Answer:

80 degrees because if you look at 1 its 62 plus 18

What is the value of x?

Triangle V P M. Angle V is 47 degrees, angle P is 85 degrees, and angle M is x degrees.

degrees

Answers

Answer:

48

Step-by-step explanation:

I know I'm super late, so so sorry but for another in the future, it's 48

Answer:

48

Step-by-step explanation:

7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->

Answers

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos


A number cube with faces numbered 1 through 6 is rolled 15 times. In theory, how many times would you expect to roll a number less than five?
A: 2.5
B: 5
C: 10
D: 12.5

Answers

Answer:

dude im retaking the test and we have the same teacher,lol

Step-by-step explanation:

Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x

Answers

x4)-(2•(x3)))-32x2)+18x
STEP
2
:

Equation at the end of step
2
:

(((x4) - 2x3) - 32x2) + 18x
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

x4 - 2x3 - 9x2 + 18x =

x • (x3 - 2x2 - 9x + 18)

Checking for a perfect cube :

4.2 x3 - 2x2 - 9x + 18 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: x3 - 2x2 - 9x + 18

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -9x + 18
Group 2: x3 - 2x2

Pull out from each group separately :

Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Final result :
x • (x + 3) • (x - 3) • (x - 2)

-2/3 + 3/9 help me please

Answers

Answer:

-0.333333333333

Step-by-step explanation:

Answer:

This will be as a decimal: 0.33333333333

Step-by-step explanation:

0.4 = 2/5. 0.33333333333… =1/3. 0.237 = 237/1000.

Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.

Answers

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

HELPPPPPPPPEEEEEEEEEEEE

Answers

hope it's helpful ❤❤❤

THANK YOU.

(3x-5)=16
with working​

Answers

(3x-5)=16
+5. +5
3x=21
divide both sides by 3
x=7

can some one helppppppppppp

Answers

Answer:

66 ft

Step-by-step explanation:

L ∝ n

L = kn , k -> number of sections

Length of 3 sections=  18 ft

3n = 18

 n = 18/3

n = 6 ft

Length of 1 section of fence = 6 ft

Length of 11 sections of fence = 6* 11 = 66 ft

^^^^^What they said is correct:)

Can someone solve this as soon as possible please

Answers

Answer:

The ratio for this problem is 9 : 100

Step-by-step explanation:

Enjoy

At the bookstore, 40 copies of a popular paperback book fit perfectly on a 5-foot shelf. How many copies of this book would fit perfectly on an 8-foot shelf? A. 72 books B. 60 books C. 68 books D. 64 books

Answers

Answer:

64 books

Step-by-step explanation:

The first step is to find the number of books that will fit in the shelve per foot

= 40/5

= 8

Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows

= 8×8

= 64

Hence 64 books would fit in 8-foot shelf

find the fifth term in the sequence that is defined as follows an=2(-1)^n

Answers

Answer:

-2

Step-by-step explanation:

since we're finding the fifth term, n=5

that would make the equation [tex]a_{5}=2(-1)^{5}[/tex]

we can simplify this to [tex]a_{5}=2*(-1)[/tex]

this makes [tex]a_{5}=-2[/tex]

Grades
AllianceRMMS.com
2 points
3) Tati wants to save money to be ready to shop for presents during
Christmas 2021. Tati has $25 in her piggy bank and continues to save $40
per month. What is the rate of change and constant; write Tati's savings
plan in slope-intercept form.*
O y = 65 next month
O y = 25x + 40
y = 40x + 25
O y = 15x + 25

Answers

Answer:

AllianceRMMS.com

2 points

3) Tati wants to save money to be ready to shop for presents during

Christmas 2021. Tati has $25 in her piggy bank and continues to save $40

per month. What is the rate of change and constant; write Tati's savings

plan in slope-intercept form.*

O y = 65 next month

O y = 25x + 40

y = 40x + 25

O y = 15x + 25

do thatand u find out

Step-by-step explanation:

Someone help me please...

Answers

Ac is 8
Ab is 15
Bd is 8
CD is 15

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30

Giving brainliest to the most accurate

Answers

[tex] \huge{Answer}[/tex]

16:25 simplified (ratio maths)

Answers

Answer:

its simplifed as much as it can.

Step-by-step explanation:

Answer:

its already simplified the most but as a decimal its 0.64

Step-by-step explanation:

Find the length of BC and BE (show work please)

Answers

Answer:

BC = 4 cm

BE = 10.39

Step-by-step explanation:

ABCD is an isosceles trapezoid.

Measures of base angles of an isosceles trapezoid are equal.

[tex]\therefore m\angle ABC = m\angle DCB [/tex]

[tex]\because m\angle DCB = 120\degree [/tex]

[tex]\therefore m\angle ABC = 120\degree [/tex]

[tex] m\angle ABE = 120\degree-90\degree [/tex]

[tex] m\angle ABE = 30\degree [/tex]

in triangle ABE,

[tex]\cos 30\degree =\frac{BE}{12}[/tex]

[tex]\frac{\sqrt 3}{2} =\frac{BE}{12}[/tex]

[tex] BE = \frac{\sqrt 3\times 12}{2} [/tex]

[tex] BE =6\sqrt 3\: cm[/tex]

[tex] BE = 10.39 cm[/tex]

[tex]\sin 30\degree =\frac{AE}{12}[/tex]

[tex]\frac{1}{2} =\frac{AE}{12}[/tex]

[tex] AE = \frac{12}{2} [/tex]

[tex] AE =6 \: cm[/tex]

Next, Draw [tex] CF\perp AD [/tex]

FD = AE = 6

EF = 16 - (AE + FD) = 16 - (6+6) = 16-12

EF = 4 cm

BCFE is a rectangle.

Measures of the opposite sides of a rectangle are equal.

Therefore

BC = EF

BC = 4 cm

y=15x-40 when x = 3 Function and Solution

Answers

Answer:

5

Step-by-step explanation:

Just substitute by the value of x

y = (15 * (3)) - 40 = 45 - 40 = 5

Answer:

the answer is 5

Step-by-step explanation:

15×3=45 then subtract 40 and your get 5

2.25(a+1.3)=20.7 what is the value of a ? ​

Answers

Answer:

7.9

Step-by-step explanation:

In the following equation, when x=3, what is the value of y? -4x + 3y = 12

Answers

Answer:

The answer is y = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

~Brainly, please?~

Ms. McNeil buys 7.4 gallons of gasoline. The total cost is $28.12. Complete and solve the equation to find the price p in dollars of one gallon of gasoline. p = 28.12 The price of one gallon of gasoline is $.

Answers

Answer:

one gallon is $3.80

Step-by-step explanation:

divide 28.12 by 7.4 then bam

(0, -9); slope = 4
Write in slope intercept form

Answers

Answer: y = 4x-9

Step-by-step explanation: We can follow the equation y=mx+b. Where we know m = 4 and b(the y-intercept) = -9. So the answer would be y=4x-9.

1. If y varies inversely as x and x = 2 when y = 8, find x when y= 5.

Answers

Answer:

16/5

Step-by-step explanation:

Since y varies inversely as x,  then xy = k  

                                                          2(8) = 16 = k

Therefore, xy = 16

Now,  5x = 16

x = 16/5

2+y<3 I need the answer please

Answers

Answer:

y<1

Step-by-step explanation:

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

Answers

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

The length of f from the given triangle FGH is 10.7 inches.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.

Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°

f² = 57.76+10.24-48.64×(- 0.9396)

f² = 68+45.70

f² = 113.7

f = √113.7

f = 10.7 inches

Therefore, the length of f is 10.7 inches.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ3

1

What is the slope of this non-vertical line? Use your transparency if needed.

3

There’s no further instructions on this please help

Please help

Answers

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

in the diagram below of triangle C D E,F is a midpoint of C D and G is a midpoint of D E, if F G = 9x -59, C E = 34 - x, what is the measure of C E?

Answers

Answer:

Hey, I'm not sure if my assumptions were correct or not because there is no diagram. I assumed the triangle to be equilateral, the two lines are parallel and the height of the triangle is 1.

Step-by-step explanation:

Since the triangle is parallel*, we can just use ratio and proportion.

[tex] \frac{rise}{run} = \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ 1(9x - 59) = 0.5(34 - x) \\ 9x - 59 = 17 - .5x \\ 9x + 0.5x = 59 + 17 \\ 9.5x = 76 \\ x = \frac{76}{9.5} \\ x = 8[/tex]

Now that we had found the value of x, we will now substitute that to both equations to get the respective distances.

CE = 34 - x = 34 - 8 = 26

Other Questions
Which property of DNA contributes the most to DNA's ability toreplicate?A. DNA coils into a long spiral or helixB. DNA has two complementary strands that can separateC. Each strand of DNA has a sugar-phosphate backboneD. Each strand of DNA can be made of a unique sequence offour different bases Elizabeth has always believed that people's thoughts can help heal them. She wants to help people use positive thinking to positively affect theirillnesses. What type of psychology would be MOST appropriate for Elizabeth to study? Juggling only activates the left part of your brainTrueO False HELP PLSSS!!! CROWN WILL BE REWARDED FOR CORRECT ANSWER!!!Which is NOT a function of the digestive system?A. protect your body from pathogens by providing a protective cover over your bodyB. molecules are absorbed into blood and carried throughout the bodyC. break down food molecules the body can useD. wastes are eliminated A glass is 12 full. Then 65cm3 of orange juice is poured in.The glass is now 67 full. What is the total volume of the glass? To study (10) _______, maybe you should make a study area in your room, too. Point) A. Much best B. More better C. Much better Edith bought a science book and a math book for her college classes. The cost s, in dollars, of the science book is $28.75 more than the cost m, in dollars, of the math book. Write an equation that relates the prices of the two books. 2.5= -2B+6 Pls help me Based on the context clue in thesentence below, what doesbrilliant mean?The ball was a brilliant blue instark contrast to the dull, tanwalls of the racquetball courts.A. dazzlingB. roundC. stuffy What type of transformation ofABCresults inDEF? A car travels 500m in 20 seconds. What is its speed? sentence answers please How much power is required to carry a 35 N package a vertical distance of 18 m if the work on the package is accomplished in 30 s? A sports car of mass m has the same kinetic energy as an SUV with a mass 3m as each is driven along the same road. Which vehicle, if either, has the larger momentum and what is the difference in their momenta, if any The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit Ms. Abaza is a salesperson at a car dealership. She will receivea bonus if she sells more cars this year than last year. Lastyear, she sold 108 cars. This year, her goal is to sell 225% asmany cars. How many cars must she sell to reach her goal?Plz help Adam is selling cookies for a fundraiser. The cookies cost him $1.49 a box. He is selling them for $2.25 a box. Adam sold 209 boxes of cookies. How much profit did Adam earn? 6. Find the measure of eachmarked angle. Evaluate the extent to which technology transformed the united states economy in the period from 1865 to 1898 Justify each step used to simplify the expression. 1. 3x+ 2y 2x+ 2 = 3x 2x+ 2y+ 2 how is the federal executive formed according to the constitution of Nepal?