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9966 [12]
4 years ago
5

Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls

and 3 baseballs for a total of $23.75. The second athletic director bought 2 tennis balls and 7 baseballs for a total of $31.25. What is the price of a baseball?
Mathematics
1 answer:
Setler79 [48]4 years ago
6 0
The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y=  156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.
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Graph the following inequality. Then click to show the correct graph.<br><br><br>3x - 2y ≤ 6
max2010maxim [7]

Answer:

We want to graph the inequality:

3x - 2y ≤ 6

The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.

3x  ≤ 6 + 2y

3x - 6  ≤ 2y

(3/2)x  - 6/2  ≤ y

(3/2)x  - 3  ≤ y

or:

y ≥ (3/2)x  - 3

Because we have the symbol ≥

The points on the line are solutions, then the first part is to graph the line:

y = (3/2)*x - 3

Next, we have:

y equal to or larger than  (3/2)*x - 3

Then we need to shade all the region above that line.

The graph can be seen below.

3 0
3 years ago
Jase's farm has 9 chickens, each of which laid 3 eggs. Jases farm has 4 horses. Edna's farm has chickens which laid a total of 2
s344n2d4d5 [400]

Answer:

You can use the basic multipication as an infrence



5 0
3 years ago
The ratio of boys to girls is 7:12 if there are 76 children how many are girls?
Vikentia [17]
12 girls out of 19, how many out of 76

12 - x
19 - 76

Cross product:

19x= 1152
/19. /19
x= ~61

There are (around) 61 girls
3 0
3 years ago
Read 2 more answers
HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
nexus9112 [7]

Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

-------------

/       -6x+15

       +6x-15

-----------------

         /   /

the answer is X-3

Step-by-step explanation:

6 0
2 years ago
Greg’s sister Ava is 4 years older than him. If the sum of Greg’s age and 2 times Ava’s age is 35, How old is Ava?
Fofino [41]

Answer:

13

Step-by-step explanation:

Create an equation: g+(G+4)(2)=35

Parentheses: g+2(G+4)=35

Distributive property: g+2g+8=35

Combine like terms: 3g+8=35

Subtractive property: 3g=27

Division property: g=9

Greg is 9. Since Ava is 4 years older you add 4 to find her age. Ava is 13. You take Ava’s age times 2 ( equals 26) then add Greg’s age (equals 35). And it should equal 35.

3 0
3 years ago
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