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3 years ago

9

Lauren read a total of 44 books over 11 months. After belonging to the book club for 21 months, how many books will Lauren have

read in all? Solve using unit rates.

1 answer:

GaryK [48]3 years ago

6 0

Answer:

84

Step-by-step explanation:

Lauren has read 4 books per month. So the answer would be 84.

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

X^2-7x+1=0<br> using quadratic formula

bezimeni [28]

This is the answer in exact form

4 0

3 years ago

A rectangle has length 2x+3 and width 7x+9. Write a polynomial in standard form that represents the perimeter of the rectangle.

sleet_krkn [62]

Answer:

18x+21

Step-by-step explanation:

First multiply each equation by 2 since there is 2 sides for both the length and width.

2(2x+3) 2(7x+9)

4x+3 14x+18

Then combine like terms

4x+14x 3+18

18x 21

4 0

3 years ago

A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel

-Dominant- [34]

Given:

Capacity of jet plane = 200,000 liters of fuel

Fuel used during flight = 130,000 liters

To find:

The percentage of the fuel capacity it uses on this flight.

Solution:

According to the question, we need to find 130,000 is what percent of 200,000.

$\text{Required percentage}=\dfrac{\text{Fuel used during flight}}{\text{Capacity of jet plane}}\times 100$

$\text{Required percentage}=\dfrac{130000}{200000}\times 100$

$\text{Required percentage}=65$

Therefore, the jet plane uses 65 percent of fuel capacity during flight.

6 0

3 years ago

The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago