If I have a table of cups of flour and cookies and you multiply the number of cups of flour to get the number of cookies which is x and y

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Solve the system.x – 2y = 10
3x + 2y = 14

(Points : 5)
(–8, 6)
(–2, 6)
(6, –8)
(6, –2)

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$x - 2y = 10\n 3x + 2y = 14\n ------\n 4x=24\n x=6\n\n 6-2y=10\n 2y=-4\n y=-2\n\n (6,-2)$

A car traveled a distance of 126 miles in 3 hours. Traveling at the same speed, what distance would this car travel in 7 hours?

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Unitrate is the quantity of an amount of something at a rate of one or another quantity.

Speed is the rate at which the car is traveling x miles per hour

Speed = Distance / Time

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car traveled a distance of 126 miles in 3 hours.

This can be written as,

126 miles = 3 hours

Multiply both sides by 3.

42 miles = 1 hour

Multiply 7 on both sides.

7 x 42 miles = 7 x 1 hour

294 miles = 7 hours.

This means that,

In 7 hours 294 miles are traveled.

Thus,

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

Learn more about unitrates here:

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The answer is 294 miles.

If you break down to it's unit rate (126 / 3) you get 42, which is the speed per hour. Now multiply by 7 hours and you get 294 :^]

Can someone help me with this question? pls

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Answer:

See attachment

Step-by-step explanation:

See attachment

Simplify the product using the distributive property. (-4h +2)(3h +7)

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Answer: $-12h^2-22h+14$

Step-by-step explanation:

According to distributive property under multiplication over addition

We can write a.(b+c)=a.b+a.c

Since, The given expression, (-4h+2)(3h+7)

By applying distribution in first bracket.

we can write, (-4h+2)(3h+7)= -4h(3h+7)+2(3h+7)

Again on applying distribution property,

we get, (-4h+2)(3h+7)= -4h×3h+(-4h)×7+2×3h+2×7

⇒ $(-4h+2)(3h+7)= -12h^2-28h+6h+14$ = $-12h^2-22h+14$

-2(2h - 1)(3h + 7)
(-2(2h) - 2(-1))(3h + 7)
(-4h + 2)(3h + 7)
-4h(3h + 7) + 2(3h + 7)
-4h(3h) - 4h(7) + 2(3h) + 2(7)
-12h² - 28h + 6h + 14
-12h² - 22h + 14

What is the correct line description for x+3y=1?