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3 years ago

Select The decimal that is equivalent to 7/8

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

Answer:

0.875

Step-by-step explanation:

look at the fraction as a division problem

8÷7

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X - 5(x + 1) = 3x + 2<br> answer , but show work pls.

Nitella [24]

Answer: x = -1

Step-by-step explanation:

Starting:

x-5(x+1)=3x+2

Simplify the left side:

-4x-5=3x+2

Move all the terms with an x to the left:

-7x-5=2

Move all the terms without an x to the right:

-7x=7

Divide both sides by -7:

x = -1

3 0

3 years ago

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

How is 8/15 written as a mixed number?

babymother [125]

Answer:

8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!

Step-by-step explanation:

7 0

2 years ago

A half-Dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?

Galina-37 [17]

Multiply 31 mm by 56:

56(31 mm) = 1736 mm (answer)

8 0

3 years ago

Read 2 more answers

Chase use 1/6 cup of bananas for every 2/3 cup of apples to make a smoothie. Enter the number of cups of bananas Vhase uses for

Reika [66]

Answer:

1/4 cup of bananas

Step-by-step explanation:

1/6 cup of bananas = 2/3 cup of apples

1/6 cup of bananas = 4/6 cup of apples

1/24 (1/6 ÷ 4 since 4/6 cup of apples is 4 units and we need 1 unit) cup of bananas = 1/6 cup of apples

1 cup of apples = 1/4 (1/24 x 6 for 6 units) cup of bananas

4 0

3 years ago