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vekshin1
3 years ago
13

Solve the following: -3(x - 8) + 7x = 12 Please explain!

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer:  -3

Step-by-step explanation:

First... Distribute the -3 into x and -8. You'll have -3x + 24 + 7x = 12

Next... Subtract 24 on both sides (-3x + 24 - 24 + 7x = 12 - 24)

                                 -3x + 7x = -12

Add like terms to get 4x = -12

Finally.. you divide 4 on both and you have...

x = -3

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See the picture below!!
Darya [45]

Answer:

Q1) x = 17.3

y = 8.7

Q2) d = 19

Step-by-step explanation:

Question 1

Angle = 60°

Hypotenuse = x

Adjacent = y

Opposite = 15

<u>Step 1: Find x</u>

Sin (angle) = opposite/hypotenuse

Sin (60°) = 15/x

x = 10√3 = 17.3

<u>Step 2: Find y</u>

Tan (angle) = opposite/adjacent

Tan (60°) = 15/y

y = 5√3 = 8.7

Question 2

<u>Step 1: Find the diagonal of the base</u>

c² = a²+b²

c² = 6² + 10²

c = 2√34 = 11.7

<u>Step 2: Find diagonal d</u>

c² = a² + b²

d² = 11.7² + 15²

d = 19

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7 0
3 years ago
The radius AND height of a cylinder are each doubled. What is the new volume?
Naya [18.7K]

The volume of a cylinder is given by

V = \pi hr^2

Let h\mapsto 2h and r\mapsto 2r

The new volume becomes

V = \pi(2h)(2r)^2 = \pi\cdot 2h \cdot 4r^2 = 8\pi hr^2

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.

7 0
3 years ago
A recipe for bread uses 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. How many more cups of white flour than wheat fl
natita [175]
The equation is just 5 3/4 times 3 1/3. You make the denominators the same by multiplying them by each other. It will be 5 3/12 times 3 1/12. Now you times these two together. You can do this part yourself because it will be confusing on here. I hope i helped atleast a little.
6 0
3 years ago
When two powers with the same base<br> are multiplied together, what is done<br> with the exponents?
lakkis [162]
The exponents are added.
6 0
3 years ago
11. GARDEN Emily calculates that the area of a flower garden is 28.125. She measured
Svetlanka [38]

Answer:

A=28.13 Sq Ft

Step-by-step explanation:

Given that the length of the garden = 4.5 ft

Breadth of the garden = 6.25 ft

Area is given by the formula

A=length x breadth

A=4.5 x 6.25 sq ft

A= 28.125 sq ft

Here if we round the area to the nearest hundredth, the area will be

A=28.13 Sq Ft

7 0
3 years ago
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