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4 years ago

What is 2/3 of a rotation

Mathematics

1 answer:

faltersainse [42]4 years ago

8 0

Answer:

240

Step-by-step explanation:

if a full rotation is 360 degrees than 1/3 of it is 120 degrees so that means that 2/3 is 240 degrees

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What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

6 0

4 years ago

The vertex of the graph of y = (x - 1)2 - 5 is

kifflom [539]

The vertex of the graph of y = (x - 1)2 - 5 is (1,-5)

7 0

3 years ago

Read 2 more answers

PLEASE HELP !!

GalinKa [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze and the second brand is 55% pure antif

Phantasy [73]

Answer:

64 gallons 30%
96 gallons 55%

Step-by-step explanation:

The amount of each brand can be found by writing and solving an equation that makes use of the given relations.

<h3>Setup</h3>

Let x represent the quantity of 55% pure antifreeze needed in the mixture. Then the quantity of the 30% brand is (160-x). The amount of pure antifreeze in the mixture is ...

0.55x +0.30(160 -x) = 0.45(160)

<h3>Solution</h3>

Subtracting 0.30(160), we have ...

x(0.55 -0.30) = 160(0.45 -0.30)

x = 24/0.25 = 96 . . . . . simplify, divide by the coefficient of x

96 gallons of the 55% brand, and 64 gallons of the 30% brand must be used.

Read more about mixture problems here:

brainly.com/question/26751698

4 0

2 years ago

What the answer to 3(x-4)=2(-2x+1)

lidiya [134]

Answer:x = 2

Step-by-step explanation:

Simplifying

3(x + -4) = 2(-2x + 1)

Reorder the terms:

3(-4 + x) = 2(-2x + 1)

(-4 * 3 + x * 3) = 2(-2x + 1)

(-12 + 3x) = 2(-2x + 1)

Reorder the terms:

-12 + 3x = 2(1 + -2x)

-12 + 3x = (1 * 2 + -2x * 2)

-12 + 3x = (2 + -4x)

Solving

-12 + 3x = 2 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

-12 + 3x + 4x = 2 + -4x + 4x

Combine like terms: 3x + 4x = 7x

-12 + 7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0

-12 + 7x = 2 + 0

-12 + 7x = 2

Add '12' to each side of the equation.

-12 + 12 + 7x = 2 + 12

Combine like terms: -12 + 12 = 0

0 + 7x = 2 + 12

7x = 2 + 12

Combine like terms: 2 + 12 = 14

7x = 14

Divide each side by '7'.

x = 2

Simplifying

x = 2

4 0

4 years ago