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umka2103 [35]
3 years ago
10

Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per b

at and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.
How many bats and gloves did the team purchase each year?
Mathematics
1 answer:
Sonja [21]3 years ago
7 0
<span>20x + 12y = 1040
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation. 20x + 12y + -12y = 1040 + -12y Combine like terms: 12y + -12y = 0 20x + 0 = 1040 + -12y 20x = 1040 + -12y Divide each side by '20'. x = 52 + -0.6y
thats the first part
then we have
</span>25x + 16y = 1350
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.
25x + 16y + -16y = 1350 + -16y
Combine like terms:
16y + -16y = 0 25x + 0 = 1350 + -16y
25x = 1350 + -16y
Divide each side by '25'. x = 54 + -0.64y
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1/2bh for b=8 and h=11
svlad2 [7]

Answer:

44

Step-by-step explanation:

1/2bh, b=8, h=11

1/2*8*11

1/2*88

=44

5 0
2 years ago
A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Checkpoint A 1:00 PM T
storchak [24]
Average speed  

Average speed between the checkpoints  
distance between the checkpoints
divided by
time between the checkpoints. 

Distance between the checkpoints = 
(mileage at B) minus (mileage at A)
=(208)-(120)  =  88 miles .

Time between the checkpoints = 
time at - time at A

=(3:00 PM) - (1:00 PM) =  2 hours .

Average speed between the checkpoints  =  

(88 miles) / (2 hours)

=44 miles per hour .
  
4 0
3 years ago
Cesar has read 89 pages of a book for his
slega [8]

Answer:

X=8

Step-by-step explanation:

First subtract the read pages with the unread pages which is 168.

Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8

4 0
3 years ago
Read 2 more answers
A cylinder has a volume of 320 cu in. and a height of 5". Find the radius of the cylinder. 10 in. 8 in. √8 in.
Reptile [31]
The correct question is
<span>A cylinder has a volume of 320 pi in</span>³<span>. and a height of 5". Find the radius of the cylinder</span>
we know that

[volume of a cylinder]=pi*r²*h----> r²=volume/(pi*h)
r=√[volume/(pi*h)]
volume=320*pi in³
h=5 in
so
r=√[320*pi/(pi*5)]--------> r=8 in

the answer is 
8 in
8 0
3 years ago
Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic
Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

s = \frac{d}{t}

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

s = \frac{d}{2}

d = 2s

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

0.4s + 0.6(s - 30) = \frac{d}{3.8}

So

3.8(0.4s + 0.6s - 18) = d

3.8s - 68.4 = 2s

1.8s = 68.4

s = 38

Her usual driving speed is 38 miles per hour.

3 0
3 years ago
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