Four basketballs and six baseballs cost $44. Five basketballs and four baseballs costs $48. Determine the cost for one basketball and one baseball.

Answers

Answer 1

Answer:cost for basket ball= $8 and

cost of baseball = $2

Step-by-step explanation:

Step 1

Let the cost of basket ball be represented as x

and cost of  baseball = y          such that

Four basketballs and six baseballs cost $44 will be expressed as

4x+ 6y= 44  --- eqn 1   also

Five basketballs and four baseballs costs $48 will be expressed as

5x+ 4y= 48--- eqn 2

Step 2

Having obtained two expressions we can now sole

4x+ 6y= 44  --- eqn 1

5x+ 4y= 48--- eqn 2

multiplying eqn 1 by 5 and eqn 2 by 4

20x+ 30y =220---- eqn 3

20x+ 16y=192-----eqn 4

subtracting equation 4 from 3   we now have

14y=28

y= 28/14

y=2 = $2

from equation 1

4x+ 6y= 44, putting the value of y=7 to find x

4x+ 6(2)= 44

4x+12= 44

4x= 44-12

4x=32

x= 32/4

x=8=$8

cost for basket ball= $8 and

cost of baseball = $2


Related Questions

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Look at this figure.
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True
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Checkin
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true

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Would it be better to have a higher interest rate on a loan or on an investment? Explain.

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Answer:

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Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

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Answers

Answer:

a. m<DAB = 36°

b. m<B = 54°

c. m<C = 74°

Step-by-step explanation:

a. m<DAB = m<CAB + m<CAD

m<DAB = 20° + 16° (substitution)

m<DAB = 36°

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0
o
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Answers

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its -10

Step-by-step explanation:

NO explain needed

Statements Reasons
Given: Circle X with radius r and circle
Y with radius s
Prove: Circle X is similar to circle Y.
translate X to Y
circle X - circle Y
dilate circle X by sir
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circle with center Y
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Reasons
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Answers

Answer:1. Circle with center X had radius r ; Given

Circle with center Y had radius Y has radius S ; Given

Translate X to Y ; Translation is a similarity transformation

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Circle X ~ Circle Y ; a composition of similarity transformation maps circle X to circle Y

Step-by-step explanation:

Answer:

Step-by-step explanation:

:)

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The answer is C......

Bob's Pet Shop sold the following pets last month:

5 cats

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Answers

7 : 21 (divide by 7)
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Answers

Answer:

2:3

Step-by-step explanation:

divide both by 6.

There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)

Answers

Answer:

A. (3,2) . I recommend using desmos to find the coordinates

9514 1404 393

Answer:

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Step-by-step explanation:

The midpoints of the diagonals are the same point, so you have ...

  X = (A +C)/2 = (B +D)/2

  A +C = B +D . . . . . . . multiply by 2

  A +C -B = D . . . . . . . subtract B

The coordinates of D are ...

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  D = (3, 2)

What two numbers are located 3/4 of a unit from 1/10 on a number line?

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

2A=A*A, not A+A

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that the given side lengths DO form a triangle. 6.4+12.9=19.3 which is more than 14.2.

answer this! i’ll give brainliest

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Step-by-step explanation:

Give me brainliest.

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Step-by-step explanation:

Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?

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Step-by-step explanation:

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Answers

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a reflection of the pink triangle is shown. which transformation makes this reflection

Answers

Answer:

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Scott can you help I am confused... Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from 2.25 to 2.50 per gallon each week. Write a compound inequality to model all of the possibilities amount of money (m) Naviah spends on gas each week.

Answers

Answer:

Amount of money Naviah spends each week  is ranged from 18 to 30

( 18 ≤ m ≤ 30 )

Step-by-step explanation:

Let Naviah buys gas each week = x gallons

As given,

Naviah buys at least 8 but no more than 12 gallons of gas each week.

⇒8 ≤ x ≤ 12

Now,

Let the price of gas each week  = p

As given,

The price of gas ranged from 2.25 to 2.50 per gallon each week.

⇒2.25 ≤ y ≤ 2.50

Now,

Amount of money spend (m) = (Total gas buy)(Price of gas)

                                              = xy

⇒ m = xy

Now,

we have

8 ≤ x ≤ 12 and 2.25 ≤ y ≤ 2.50

Multiply both the inequality , we get

8×2.25 ≤ x.y ≤ 12×2.50

⇒18 ≤ xy ≤ 30

⇒18 ≤ m ≤ 30

∴ we get

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Answers

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