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3 years ago

11

Which situation is represented by the equation? 8x + 60 = 4x + 100

2 answers:

jasenka [17]3 years ago

8 0

Answer:

x=10

Step-by-step explanation:

subtract 4x from each side first. 8x-4x+60=4x-4x+100 which equals 4x+60=100. Then subtract 60 from each side. 4x+60-60=100-60 which equals 4x=40. Then divide both side by 4 which equals x=10.

Korolek [52]3 years ago

5 0

Answer: x=10

Hoped that helped

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Help pls<br> percentages

Tasya [4]

Step-by-step explanation:

100 multiple it by the percentage

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2 years ago

Read 2 more answers

Daniel [21]

Answer:

$x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}$

Step-by-step explanation:

$-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}$

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3 years ago

80. At the gym Suppose that 10% of adults belong to

maria [59]

Answer:

4% of all adults go to a health club at least twice a week

Step-by-step explanation:

the proportion of adults who belong to health clubs is 10% that is 0.10

the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.

Thus, the proportion of all adults who go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

6 0

2 years ago

A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o

DochEvi [55]

The length of side walk is 500 feet

<em><u>Solution:</u></em>

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

<em><u>The diagonal of rectangle is given by formula:</u></em>

$d = \sqrt{w^2+l^2}$

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

<em><u>Substituting the values in formula, we get</u></em>

$d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500$

Thus length of side walk is 500 feet

5 0

3 years ago

For the point P (-17,25) and Q(-10,30), fins the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.

Nonamiya [84]

Answer:

Distance = 8.6

M = (-13.5,27.5)

Step-by-step explanation:

Distance = $\sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2$

= $\sqrt{(-10_ }- (-17)_{ })^2 + (30_{ }- 25_{ })^2$

= $\sqrt{(-10_{ }+ 17_{ })^2 + 5^2_$

= $\sqrt{7^2+5^2}$

= $\sqrt{49+25}$

= $\sqrt{74}$

= 8.6

Midpoint = $(\frac{x_{2}+x_{1}}{2};\frac{y_{2}+y_{1}}{2})$

= (-10+(-17)) ÷ 2 ; (30+25) ÷ 2

= -27 ÷2 ; 55 ÷ 2

= -13.5, 27.5

3 0

2 years ago