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3 years ago

2(2x - 8) = x - 46 ?

Mathematics

2 answers:

True [87]3 years ago

5 0

Answer:

x = -10

Steps:

2(2x - 8) = x - 46 Multiply 2 and 2x, and multiply 2 and -8

4x - 16 = x - 46 You then have this equation

-x -x Subtract x from both sides

Now let me stop here. Why are we subtracting? Because we have variables on both sides, we subtract the least number with the variable. We have 4x and we have x. Now, x means 1x, and 1x is less than 4x. Therefore, we subtract 1x from both sides : 4x - 1x = 3x.

3x -16 = -46 Then you get this

+16 +16 Add 16 to both sides (if it said 3x +16 = -46, then you'd subtract)

3x = -30 You now have this

3 3 You only want x, so divide 3 from both sides

x = -10 Hope this helps!

Anna [14]3 years ago

4 0

Answer: X = -10

Step-by-step explanation:

Times two to the parentheses

Minus X from both sides, left with 3X-16=-46

Add 16 to both sides 3X=-30

Divide both sides by 3

Answer X=-10

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Stretch your thinking Will you make a new ten to solve this problem? 59 + 17 explain

topjm [15]

Hey there! :D

So you're wondering if you can make a new ten in this problem, right? Well, lets find out! We can simply do 59 + 17 = 59 + 1 + 16 = 60 + 16 = 76. When we did 59 + 1, that is a new ten then we added to 16. So yes, we did make a new ten in this problem.

Hope it helps! ;)

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3 years ago

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Explain for both problems and tell me the work that comes with it please and thank you

Anton [14]

Problem 33

Use the distributive property on the side containing parentheses of each expression and compare it to the other side.

a) 3(5a + 3) = 15a + 9 not equal to 15a + 6

b) 2(7b - 2) = 14b - 4 not equal to 14b + 4

c) 5(2c + 3) = 10c + 15 not equal to 7c + 8

d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5

Answer for problem 33: d)

Problem 34

Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).

$\dfrac{3}{1} = \dfrac{17}{x}$

$3x = 17 \times 1$

$3x = 17$

$x = \dfrac{17}{3}$

$x = 5 \dfrac{2}{3}$

Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.

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3 years ago

How do I confirm that f and g are inverses?

Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= $\frac{6x-4+4}{6}$ = $\frac{6x}{6}$ = x

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

g(f(x))

= g( $\frac{x+4}{6}$ )

= ( 6 × $\frac{x+4}{6}$ ) - 4

= x + 4 - 4 = x

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

Hence f and g are inverses

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4 years ago

Find y.

Elena L [17]

Answer:

Step-by-step explanation:

sin A = $\frac{opposite side}{Hypotenuse}$

Sin 29 = $\frac{y}{500}$

0.4848 * 500 = y

y = 242.4 ft

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3 years ago

Read 2 more answers

Polygon D is a scaled copy of polygon C using a scale factors of 6

Vladimir79 [104]

Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.

Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

$Length\ scale\ factor=k=6$

Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

$Area \ scale\ factor=k^2=6^2$

Finally, evaluating, you get that this is:

$Area \ scale\ factor=36$

Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.

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3 years ago