The athletic department manager purchased a total of 52 footballs and soccer balls. Each football cost $23.53, and each soccer ball cost $19.86. If the manager spent a total of $1,120.80, how many soccer balls did the manager purchase?

Answers

Answer 1

Answer:

The manager purchased 28 soccer balls.

Step-by-step explanation:

Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:

x+y=52, where:

x is the number of footballs purchased

y is the number of soccer balls purchased

Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:

23.53x+19.86y=1,120.80

Now, you have 2 equations:

x+y=52 (1)

23.53x+19.86y=1,120.80 (2)

To be able to find the value of x and y, first you can isolate x in (1):

x=52-y (3)

Then, you can replace (3) in (2) and solve for y:

23.53(52-y)+19.86y=1,120.80

1,223.56-23.53y+19.86y=1,120.80

1,223.56-1,120.80=23.53y-19.86y

102.76=3.67y

y=102.76/3.67

y=28

Finally, you can replace the value of y in (3) to find the value of x:

x=52-28

y=24

According to this, the answer is that the manager purchased 28 soccer balls.

Related Questions

Explain how you will evaluate 4[ 3(62+1)] - 63

Answers

Answer:

693

Step-by-step explanation:

You can simply apply BODMAS(Bracket of Division Multiplication Addition Subtraction)

Here, the brackets come first

62+1=63

63*3=189

189*4=756

756-63=693

Answer:

720

Step-by-step explanation:

First you do the things inside the parenthesis which is 62 + 1 = 63

Which gives you this -----> 4[ 3 x 63]-36

Then do the brackets (brackets are these btw "[ ]" )

After doing the brackets you should bet this 4 x 189 - 36

Then you do the multiplication -----> 756 - 36

756 - 36 = 720

Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?

Answers

If I were Karen I’d just take em all and run

The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?

Answers

Step-by-step explanation: Both 64 and x^2 are perfect squares, since 64=(8)^2 and x^2=(x)^2. Additionally, 16x is twice the product of the roots of 64 and x^2, since 16x=2(8)(x). So the side length of the square is 8-x meters

I think I don’t exactly remember don’t judge me

7. Giovanni made the design below for an art project. What is the area of the drawing? 13 in. 5 in. 4in.

Answers

Answer:

75 in^2

Step-by-step explanation:

Given data

From the figure

We can see a rectangle and a triangle

The area of the rectangle is

Area= L*W

Area= 13*5

Area= 65 in^2

Area of the triangle

Area= 1/2b*h

Area= 1/2*4*5

Area= 2*5

Area= 10 in^2

Hence the area of the composite figure is

Area= 65+10

Area= 75 in^2

Please help. Will give brainliest.

Answers

Answer:

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

Answers

Ta furie le Wola t in fatiguer

Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps

Answers

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10
LINKS WILL BE REPORTED NOT HAVING IT

Answers

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

Solve the equation.
-2/3 (x + 3/5) = 1/2

x=

Answers

−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20

Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

What is the value of X?

Answers

Answer:

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6

Answers

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Don't worry it's not a virus just listen to it it's cool

Answers

Answer:

I dunno if i typed it wrong it says video unavailable.

Step-by-step explanation:

6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?

Answers

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

What is the ratio for sin A?

3/4
3/5
4/5
4/3

Answers

4/5. I was doing math assignments like this earlier and remember how to do this. If you need more help on this let me know.

Which is equivalent to 437
O A 7
B. 12
OC 16
OD. 64
E. 81

Answers

D 64 if this is right please give me brainlist

***YOU WILL EARN 35 POINTS IF YOU ANSWER THIS ***

Answers

Answer:I’m not sure maybe the 2nd one!:))Mahelps a lot!!

Answer:

The answer is B. 10^3

I rly need help with #2-4 and #8-9 PLZZ

Answers

Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

please help me out :))

Answers

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.

What is the balance in Zac's account?

Answers

Is the balance is dee’s account 34% less then AL’s and also don’t trust anyone who tells you to click on a link it’s a virus

angle relationships. please help me. i will give you brainlist. if you are right though.

Answers

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4

Answers

Answer:

Step-by-step explanation:

I'm sorry of this answer is wrong

HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW

Answers

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

NO LINKS!! PLSS HELP ME I WILL GIVE YOU BRAINLYEST!!

Mr. Hernandez bought 16 meters of
chain-link fencing. The section of his yard that
needs to be fenced is 50 feet long. Did Mr.
Hernandez buy enough fencing? Determine the
number of feet Mr. Hernandez still needs to buy
or how many extra feet he has purchased.
(1 meter = 3.28 feet.)

Answers

Answer:

well yes he has 2.4 extra

Step-by-step explanation:

1 meter is 3.28 feer so 3.28 x 16 is 52.4 and he only need 50.

hoped this hlepd and you have to give me brailyest. i just want to help...

Answer:

yes

Step-by-step explanation:

well we can just multiply the 3 with the 16

well now we have 48

add 28, 16 times which gives us 4.48

48+4.48 52.48

you have 2.48 feet left

and yes he has enough

now, about that deal.....

I would like help on this math problem please!

Answers

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

Find c. Round to the nearest tenth:

Answers

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

The image below is a kite. Find the value of x.

Answers

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

Helps are really appreciated!!

Answers

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

help please find the x

Answers

Step-by-step explanation:

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

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