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Rashid [163]
3 years ago
10

The table shows the number of miles driven over time time 4,6,8,10 distance 232, 348, 464, 580

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
The distance covered per hour are as follows:
4 to 6: 348 - 232 = 116 ÷ 2 hours = 58
6 to 8: 464 - 348 = 116 ÷ 2 hours = 58
8 to 10: 580 - 464 = 116 ÷ 2 hours = 58.

We see that the vehicle covers 58 miles every hour. Therefore, the relationship between distance and time is 58 miles per hour. Written as an expression:
distance = 58miles/hour,
or
d = 58t
where d is distance in miles and t is time
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Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the
emmainna [20.7K]

Answer:

<h3>              0.125 galon of 35% acid solution</h3>

Step-by-step explanation:

0.5 gallon of a 10% acid solution

10%•0.5 = 0.05 gallon of acid in that solution

x gallon of 35% acid solution

35%•x = 0.35x  gallons of acid in that solution

0.05 + 0.35x  total of gallons of acid in both solutions

(0.5+x) gallons of 15% acid solution

15%(0.5+x) = 0.15(0.5+x)  gallons of acid in that solution

the amount of gallons of acid didn't change after mixing, so:

0.05 + 0.35x = 0.15(0.5 + x)

0.05 + 0.35x = 0.075 + 0.15x

0.35x - 0.15x = 0.075  - 0.05

0.2x = 0.025

 ×5         ×5  

x = 0.125

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3 years ago
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Which expression shows how to find 5/6 divided 2/3?
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1 1/4

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2 t-shirts and 3 hats costs £12.
Mariana [72]

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Cost of tshirt = £7.29

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3 years ago
Express the fractions 1/2, 3/16, and 7/8 with an LCD
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You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number. 

You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers. 

If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product. 

However, you will be able to see that 16 is indeed the lowest common denominator: 

2 × 8=16 

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So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same). 

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6 0
3 years ago
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