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maria [59]
2 years ago
4

a clothing store sells t-shirts, t, for $8 a shirt, shorts, s, for $12, and hats, h, for $10 each. The store earned $464 revenue

last month. The store sold three times as many T-shirts than hats, and twice as many shorts as hats. Using the substitution method, how many t-shirts, shorts, and hats did the store sell?
Mathematics
1 answer:
AnnZ [28]2 years ago
5 0
Let x be the variable for a t-shirt for $8.
Let y be the variable for shorts for $12.
Let z be the variable for the hats that cost $10 each.


We have the expression 1 below:
$464 = $8x + $12y + $10z
other expressions:
3z = x
2z =y

By substitution we can solve each variable:

464 = 8(3z) + 12(2z) + 10z
464 = 24z +24z +10z
464 = 58z
z = 8

Solve for x andy:
3z=x
3*8 = 24=x
2z=y
2*8 = 16 = y

The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.
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Leto [7]

Answer:

10 km/hr

Step-by-step explanation:

The aircraft carrier and the container ship both took 30 hours to travel their respective distances. If you divide both numbers by 30, you find that their differences is 5. We can tell that the aircraft carrier traveled 450 ÷ 30 = 15 km/hr and the container ship traveled at a speed of 300 ÷ 30 = 10 km/hr. The aircraft carrier traveled 5 km/hr faster. So, we can tell the container ship traveled at 10 km/hr.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

6 0
2 years ago
the sum of two numbers is 31. 2/3 of one of the numbers added is equal to 5/8 of the other.find the two numbers
Jet001 [13]
One number is 15 and the other is 16. You get this answer by first finding a factor of 3(15) that when it's subtracted from 31 gives you a factor of 8(16). Then you divide in this case 15 by 3 and get 5 and 16 by 8 and get 2. The reason you divided the numbers is because now you have 5 which is 1/3 of 15 and 2 which is 1/8 of 16. Now that you have your numbers that equal your fractions multiply 5 which is your 1/3 by the 2 from your 2/3 to get 10 which is 2/3 of 15 and 2 which is 1/8 by the 5 from you 5/8 to get 10 which is 5/8 of 16
6 0
2 years ago
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a
steposvetlana [31]
This is sort of weird to write without any numbers, but it's not too hard. take your info out of the word problem:

fit fast = fee per class
stepping up = fee per class + monthly fee

now you just change all of that into variables, essentially:

F = cx
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so, fit fast is the cost of classes (c) times the number of classes taken (x). stepping up is the cost of classes times x, PLUS that additional monthly fee (m).
7 0
2 years ago
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sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c
guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1  would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6  would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6  that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

A:B

60:36

60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

4 0
2 years ago
Jana is ordering a list of numbers from least to greatest. StartRoot 7 squared EndRoot, StartRoot 7 EndRoot, Four-fifths, StartR
makvit [3.9K]

Answer:

The answer is D

Step-by-step explanation:

\frac{4}{5} = 0.8

\sqrt{7} = 2.64

2.64 > 0.8 because 2 is a whole number while 0.8 is a decimal

8 0
2 years ago
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