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Effectus [21]
3 years ago
9

Solve the system: x+4y=1 3x+5y=10

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

x=6.25\\y=-1.25

Step-by-step explanation:

3x+5y=10\\x+3y=1\\\\

Second equation times 3:

3x+9y=3

1st equation minus equation above:

-4y=7\\y=-7/4

Insert to equation:

3x+\frac{-35}{4}=10\\12x-35=40\\12x=75\\x=75/12=6.25

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Mr. Arellano decided to make cookies for 7th grade students. He was supposed to mix 4 cups of flour, 1.2 cups of sugar, and 2.5
Ahat [919]

Answer:

0.6 cups of sugar and 1.25 cups of chocolate chips

Step-by-step explanation:

We can begin to solve this problem with a simple proportion:

\frac{4}{2} = \frac{1.2}{x} = \frac{2.5}{y}

(x = the new # of sugar    y = new # of chocolate chips)

In order to keep everything proportional, we must abide by the scale factor shown with the the flour.

Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.

We can see that the scale factor is one half, so

x = 1.2 * 0.5

and

y = 2.5 * 0.5

This means that:

x = 0.6

y = 1.25

This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.

8 0
3 years ago
Subtract. –7 – 12<br> a. –19<br> b. –5<br> c. 5<br> d. 19
den301095 [7]
-7 - 12 = -1(7 + 12) = -1(19) = -19

Your answer is A.
8 0
3 years ago
8 grams = milligrams
Digiron [165]

Answer:

8,000 miligrams

Step-by-step explanation:

There's 1000 milligrams in a gram so you would have to do multiplication.

which if you do..

8x1000

you should get...

8000 milligrams

4 0
3 years ago
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bazaltina [42]

Answer:

36

Step-by-step explanation:

–12i × 3i

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Multiply the imaginary number

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We know i^2 = -1

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4 0
3 years ago
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What is the area of the rectangle
aliya0001 [1]
a^4+2a+8 because if you combine like terms that is what you get
3 0
3 years ago
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