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Paraphin [41]
1 year ago
13

The bar diagram represents 24 hours in one day and shows a mark at 30%If you sleep 30% of the day, how many hours do you sleep?

Enter your answer in the box24Hours sleptPercent0%30%100%hoursPlease help
Mathematics
1 answer:
horrorfan [7]1 year ago
8 0

Let:

100%---------------->24h

30%------------------>xh

Using cross multiplication:

\begin{gathered} \frac{100}{30}=\frac{24}{x} \\ solve_{\text{ }}for_{\text{ }}x\colon \\ x=\frac{30\cdot24}{100} \\ x=\frac{720}{100}=7.2h \end{gathered}

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Given the graph above find an equation for the graph and write your anwser in slope intercept form
lys-0071 [83]

<u>Given:</u>

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

<u>Slope</u>:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates in the above formula, we get;

m=\frac{-1-3}{4+4}

m=\frac{-4}{8}

m=-\frac{1}{2}

Thus, the slope of the equation is m=-\frac{1}{2}

<u>Value of y - intercept:</u>

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is b=1

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

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Thus, we get;

y=-\frac{1}{2}x+1

Thus, the equation of the line is y=-\frac{1}{2}x+1

5 0
3 years ago
Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.
statuscvo [17]

Answer:

n + (n + 6) = 24.

Step-by-step explanation:

Let him have n  blue marbles, then he has n + 6 other narbles.

He has a total of 24 marbles, so:

n + (n + 6) = 24.

8 0
2 years ago
Read 2 more answers
Can u please help me with this 2 problem please
Mice21 [21]
<h2>19.</h2><h3>Given</h3>
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  • window width and height are 11 in and 18 in, respectively
  • building height is 108 ft
<h3>Find</h3>
  • building width
<h3>Solution</h3>

The proportional relation can be written as

... (building width)/(building height) = (window width)/(window height)

Multiplying by (building height) gives

... (building width) = (building heigh) × (window width)/(window height)

... (building width) = 108 ft × (11 in)/(18 in)

... building width = 66 ft

<h2>21.</h2><h3>Given</h3>
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<h3>Find</h3>
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<h3>Solution</h3>

The distances are in proportion, so

... (map distance) : (actual distance) = 1.5 in : 5 mi

Multiplying by (5 mi)/(1.5 in)×(actual distance), we have

... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi

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Answer:

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Step-by-step explanation:

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