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3 years ago

Solve the following equation for a: -g + 3/4a = y

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

9514 1404 393

Answer:

a = (4/3)(y+g)

Step-by-step explanation:

Isolate 'a' term, then multiply by the reciprocal of its coefficient.

$-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}$

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2. Three points of a parallelogram are (4, 3), (-4, 3), and (2, 3). Find the coordinates of the 4th point to complete the parall

antiseptic1488 [7]

Parallelograms have equal and parallel opposite sides

The coordinates of the 4th point is (-2,3)

Let the parallelogram be ABCD, such that:

$A = (4,3)$

$B =(-4,3)$

$C = (2,3)$

A and B have the same y-coordinates, while their x-coordinates are additive inverse

This means that:

The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.

For point C

We have:

$x = 2$

$y = 3$

For point D

The coordinates would be:

$x =- 2$

$y = 3$

Hence, the coordinates of D is (-2,3)

Read more about parallelograms at:

brainly.com/question/9680084

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2 years ago

The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li

stira [4]

Answer:

There are 20,000 milligrams chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

The volume of water in the swimming pool is 8000 gallons.

Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be $x.$

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, $x$ is equivalent to $8000.$

Now, to get the quantity of chlorine by using cross multiplication method:

$\frac{2.5}{1} =\frac{x}{8000}$

By cross multiplying we get:

$20000=x\\\\x=20,000\ mg.$

Therefore, there are 20,000 milligram chlorine in the pool.

6 0

3 years ago

936 292 round to the nearest hundred thousand

Leya [2.2K]

900,000 would be the nearest hundred thousand

sorry if it's wrong, but I did try

8 0

2 years ago

Read 2 more answers

The library is 1.75 miles directly north of the school. The park is 0.6 miles directly south of the school. How far is the libra

kumpel [21]

If something is placed the way these places are(directly NORTH and the park is SOUTH) all you have to do is add your two values, lining up your decimal points. 1.75
+.6
2.35
Let me know if this helps by making me your brainliest answer

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3 years ago

Read 2 more answers

(30 Points) Simplify Each Expression And Show Steps/Work

Nutka1998 [239]

1) (2i-4)-(6i+9) = 2i-4-6i-9 = -4i-13

2) (-3+8i)+(3-8i) = -3+8i+3-8i = 0+0i = 0

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3 years ago