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lilavasa [31]
4 years ago
6

Johnny read an entire series of books with a total of 3,982 pages. In the equation below, d is the number of days it took Johnny

to read the book series. 3,982 = 22d What is the unit rate in the equation? A. 3,982 pages per day B. 181 pages per day C. 3,960 pages per day D. 22 pages per day
Mathematics
1 answer:
nadezda [96]4 years ago
3 0

Answer: D. 22 pages per day.

Step-by-step explanation:

A is not the rate it is the amount of pages that he has to read.

B is the number of days it will take for him to finish reading all 3,982 pages.

C is literally a random number it has nothing to do with the question.

D shows the rate or number of pages he will read in d number of days.

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The radius of the Earth is roughly twice the radius of the planet Mars. Raj claims that the volume of the Earth must therefore b
Volgvan
The claim is incorrect. Treating the planets as basic spheres, the formula of the volume of a sphere states that volume = (4/3)(pi*r^3), where r is the radius. Since r is raised to the power of three, then doubling the radius would result in a volume that is 8 times larger than the original.
5 0
3 years ago
4) Solve ∆ABC, a = 2.5 cm, c = 3.6 cm, and ∠A = 43°. Begin by sketching and labelling
mezya [45]

The length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}

Given;

  • a = 2. 5cm
  • c = 3. 6cm
  • ∠A = 43°

Let's find angle C

\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = sin^-^1(0. 982)

C = 79°

To find length of b

b= \sqrt{c^2 - a^2}

substitute the values

b = \sqrt{3.6^2 - 2. 5^2}

b = \sqrt{6. 71}

b = 2. 59 cm

b = 3cm

To find angle B, we have

\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

B = sin^-^1(0. 7065)

B = 45°

Hence, the length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

Learn more about sine rule here:

brainly.com/question/12827625

#SPJ1

8 0
2 years ago
NEED ANSWER ASAP!!!!
gayaneshka [121]

Answer:

y=4x+64

Step-by-step explanation:

The slope intercept form is y=mx+b, m being the slope and b being the y-intercept

The line intersects the y axis at (0, 64), so the y intercept is 64

To find the slope, find the change in y over the change in x

The y decreases by 16 every time the x increases by 4

SO the slope is 16/4, simplified to 4

y=4x+64

6 0
3 years ago
How long will it take you to bike 225 miles at a speed of 15 miles per hour
ladessa [460]
225 divided by 15 equals 15. It will take you 15 hours to get to the 225th mile marker.
5 0
3 years ago
What is the standard deviation of this data set? Use a calculator to help you.
ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

        X                          X - Xbar                  (X-Xbar)^{2}

       20                     20 - 46 = -26                    676

       23                     23 - 46 = - 23                    529

       32                     32 - 46 = -14                      196

       36                     36 - 46 = -10                      100

       41                      41 - 46 = -5                         25

       43                     43 - 46 = -3                          9

       44                     44 - 46 = -2                          4

       45                     45 - 46 = -1                           1

       47                      47 - 46 = 1                            1

       54                      54 - 46 = 8                        64

       55                      55 - 46 = 9                        81

      59                       59 - 46 = 13                      169

       61                       61 - 46 = 15                       225

       63                       63 - 46 = 17                      289

       66                       66 - 46 = 20                <u>     400    </u>    

                                                    \sum(X-Xbar)^{2} <u>= 2769 </u>

Firstly we will calculate Mean, Xbar = \frac{\sum X}{n}

  Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15} = 45.93 ≈ 46

Now, Standard deviation formula is given by;

                   s = \sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}} = \sqrt{\frac{ 2769}{15-1}} = 14.064 .

7 0
4 years ago
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