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3 years ago

What value of x6x=322 makes the following equation true? 6x=322

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

5 0

The value of x that makes the equation $6x=322$ true is x=53.67

Step-by-step explanation:

We need to find the value of x that makes the equation $6x=322$ true

The equation given is:

$6x=322$

Divide both sides by 6

$6x/6=322/6$

$x=53.67$

So, the value of x that makes the equation $6x=322$ true is x=53.67

Keywords: Solving Equations

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3. The equation 4x + 16y = 36 is a true equation for a particular

Kazeer [188]

Answer:

See below.

Step-by-step explanation:

We know that the equation $4x+16y=36$ is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

$\frac{4x+16}{4}=\frac{36}{4}$

Divide:

$x+4=9$

So, we get $x+4=9$ .

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.

Therefore, $x+4y=9$ is also true for the same value of x because it is just a simplified version of $4x+16y=36$ .

4 0

4 years ago

The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta

snow_lady [41]

Answer:

The rectangle: L = 40 yards. W = 5 yards

The square: The length and width are both 5 yards.

Step-by-step explanation:

Let L and W be the length and width of the rectangle.

Let l and w be the length and width of the square.

Area for each is:

Rectangle: L*W

Square: l*w

We are told that L*W + l*w = 225 yards^2

We are also told that

L = 8W

and that

l = W

Since the sides of a square are all equal, w is also W: w=W

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2 = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W , L = 40 yards. W = 5 yards for the rectangle.

The square: l=W, so l = 5 yards, and thus w=5 yards

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0

2 years ago

Which graph models the function f(x) = -4(2)x?

scoray [572]

It is C.

If you type in your calculator "Y=" and then " -4(2)^x " and click "GRAPH" you will see a descending graph, from left to right, that looks EXACTLY like the third graph in option C.

5 0

3 years ago

Read 2 more answers

What is the x-coordinate of the solution to the system? { 2x-3y= -27 -3x+2y= 23

UkoKoshka [18]

Answer:

x = 41 and y = 76

Step-by-step explanation:

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3 years ago

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Which table represents a linear function?