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tekilochka [14]
3 years ago
10

A car travels 420 miles in 6 hours. What is the unit rate?

Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

70

Step-by-step explanation:

because 70 times 6 equals 420

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A sparkling-water distributor wants to make up 200 gallons of sparkling water to sell for $5.00 per gallon. She wishes to mix th
Sedbober [7]
Assuming she make no profit and no loss from the business.

Let the number of gallons of the $8 grade water used be x, that of the $3 grade water, y, and that of the $4.50 grade water be z, then:

x + y + z = 200 . . . (1)
8x + 3y + 4.5z = 200(5) = 1,000 . . . (2)
z = 2y . . . (3)

Putting equation (3) into equations (1) and (2), we have:

x + y + 2y = 200
or x + 3y = 200 . . . (4)
and
8x + 3y + 4.5(2y) = 1000
or 8x + 3y + 9y = 1000
or 8x + 12y = 1000 . . . (5)

Multiplying equation (4) by 4, we have:
4x + 12y = 800 . . . (6)

Subtracting equation (6) from equation (5), we have:
4x = 200
or x = 200 / 4 = 50

Substituting for x into equation (4), we have:
50 + 3y = 200
or 3y = 200 - 50 = 150
or y = 150 / 3 = 50

Substituting for z into equation (3) gives:

z = 2(50) = 100

Therefore, 50 gallons each of the $8 grade water and the $3 grade water should be used and 100 gallons of the $4.50 grade water.
4 0
3 years ago
Lliana started to evaluate the function f(x)=2x^2-3x+7 for the input value 2. What is the value of the function when x=2?
andrey2020 [161]

Answer:it is 9 because you subtract 6 from the 8 and then you add 2 and 7 to get 9

Step-by-step explanation:

7 0
3 years ago
Which equation is correct regarding the measure of
Ghella [55]

ep explanation:

Answer:

use this app called photomath it helped me out alot

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6 0
2 years ago
Earnings You work for 4 h on Saturday and 8 h on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per
marshall27 [118]
Hello there,

best way to do this one is set up your story line....

4h + 8h + 50 = 164$...

let's make this easier to look at and combine like terms..

12h + 50 = 164$...

Beautiful!!! Now let's try and get the h alone?...

minus 50 to both sides...

12h = 114$..

now divide both sides by 12...

H= 9.50$/hour

Looks like you made 9.50$ an hour but Hey, at least you got that bonus ;)
6 0
3 years ago
HELP! Will give branliest!!
nirvana33 [79]

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

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3 years ago
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