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3 years ago

Divide 7/15 by 3/5 A. 7/9 B. 75/21 C. 21/75 D. 7/25

2 answers:

7 0

$\frac{7}{15} \div \frac{3}{5}=\frac{7}{15} \times \frac{5}{3}=\frac{7}{3 \times \not5} \times \frac{\not 5}{3}=\frac{7}{3 \times 3}=\frac{7}{9} \Rightarrow \hbox{the answer is A}$

hodyreva [135]3 years ago

4 0

7/15 ÷ 3/5 =
= 7/15 * 5/3 =
= 7/3 * 1/3 = (after simplifying)
= 7/9

Correct answer: A

Just keep in mind that dividing one fraction by another fraction is as much as multiplying the same fraction by an inverse of the second one.

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For the attached image, note that slope is the same thing as gradient.

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1 year ago

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher

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Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x ${}$ h(x)

0 ${}$ 330

5 ${}$ 275

10 ${}$ 220

15 ${}$ 165

20 ${}$ 110

25 ${}$ 55

30 ${}$ 0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

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correct!

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3 years ago

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The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait m

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1.5 minutes = 90 second

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