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3 years ago

7

Solve for Xcould you explain the process of how to do this problem

1 answer:

PSYCHO15rus [73]3 years ago

8 0

<em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>

x＝24

Step-by-step explanation:

x＋180＋156＝360

180＋156＝336

x＋336＝360

x＝360-336

x＝24

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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

3 years ago

A cat spends about 7 out of 10 hours sleeping about what percent of a cat's day is spent sleeping

hram777 [196]

I understand that it means that out of every 10 hours, a cat spends 7 sleeping (not 7 hours in a day).

this means that a cat is sleeping $\frac{7}{10}*100%=70%$

a percentage stays constant, this means that a cat sleeps 70 % of each 10 hours, but also 70% of the day.

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3 years ago

35 - 35 +9:3)<br> +7<br> What is the answer do you know?

Nadya [2.5K]

Answer:

35-35+9.7+7
35+9.7+7-35
16.7

5 0

3 years ago

Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Karolina [17]

Answer:

$\large\boxed{x=-\dfrac{2}{3}}$

Step-by-step explanation:

$8^x=\dfrac{1}{4}\\==============\\\\8=2^3\\\\\dfrac{1}{4}=\dfrac{1}{2^2}=2^{-2}\\\\===============\\\\(2^3)^x=2^{-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3x}=2^{-2}\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-\dfrac{2}{3}$

5 0

3 years ago

(3x^2 + 2x -2) + ( -2x^2 + 5x+5)<br> My answer<br> 5x^2 + 7× +7<br> Am i right

sertanlavr [38]

$(3x^2 + 2x -2) + ( -2x^2 + 5x+5)=\\
3x^2 + 2x -2 -2x^2 + 5x+5=\\
x^2+7x+3$

4 0

3 years ago