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4 years ago

Write 8.77 as a mixed number, reduced to lowest terms.

1 answer:

8 0

Converting a decimal to a mixed number is very simple when you get the hang of it. Since 8 is before the decimal, that is your number in the mixed number. For the fraction part, it's 77/100. The denominator is 100 because when you count the decimal places, it goes to hundredths. 77/100 is already in simplest form, so your final answer is 8 77/100.

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Five times the sum of number and 27 is greater than or equal to six times the sum of that number and 26. What is the

raketka [301]

Answer:

$x \geq -21$

Step-by-step explanation:

Let the number be x.

Translating the word problem into an algebraic equation, we have;

$5(x + 27) \geq 6(x + 26)$

Opening the bracket, we have;

$5x + 135 \geq 6x + 156$

Collecting like terms, we have;

$6x - 5x \geq 135 - 156$

$x \geq -21$

8 0

3 years ago

Solve this equation: 9x + 3 = 2(x - 4) - 3(2x + 5)

Ksju [112]

Answer: 5x

Step-by-step explanation:

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3 years ago

Is 4.7 a rational number?

PIT_PIT [208]

Answer:

Yes.

Step-by-step explanation:

4.7 is able to be written as a fraction, being a rational number.

Hope it helps!!

Let me know if I'm wrong...

7 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mila [183]

Answer:

$m\angle H = 44.4\°$ .

Step-by-step explanation:

Given:

In Right Angle Triangle GIH

∠ I = 90°

GI = 7 ....Side opposite to angle H

GH = 10 .... Hypotenuse

To Find:

m∠H = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

$sin \ H = \frac{Oppsite\ side\ to\ \angle H}{Hypotenuse}$

Substituting the values we get;

$sin\ H = \frac{7}{10} = 0.7$

Now taking $sin^{-1}$ we get;

$\angle H = sin^{-1}\ 0.7 = 44.427$

rounding to nearest tenth we get.

$m\angle H = 44.4\°$ .

Hence $m\angle H = 44.4\°$ .

6 0

3 years ago

Find the value of x and y so that both proportions will be correct:

andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}$ and $y:1.5=0.2:0.75$

From the second proportion, we will get....

$y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4$

Now, we will plug this $y=0.4$ into the first proportion. So we will get....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2$

So, the values of x and y are 0.2 and 0.4 respectively.

6 0

3 years ago