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3 years ago

Which situation could be represented by the open sentence 15 - 5 = p?

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

Option B.

Step-by-step explanation:

We need to find the situation that could be represented by the sentence 15-5=P.

Option A:

Stuart is reading a book that has a total of 15 chapters. He reads 5 chapters every day. How many days will it take Stuart to finish the book?

Let the number of days be d.

$15-5d=0$

Option B:

Stuart is reading a book that has a total of 15 chapters. He has already read 5 chapters. How many chapters of the book are left for Stuart to read?

Let the number of remaining chapters be p.

$15-5=p$

Option C:

Stuart is reading a book that has a total of 15 chapters. This book has 5 chapters less than the book Stuart read last week. How many chapters were in the book Stuart read last week?

Let the number of chapters in the book Stuart read last week be n.

$n-5=15\Rightaarow n=15+5$

Option D:

Stuart is reading a book that has a total of 15 chapters. This is 5 times the number of chapters as the book Stuart read last week. How many chapters were in the book Stuart read last week?

Let the number of chapters in the book Stuart read last week be n.

$15=5n$

Therefore. the correct option is B.

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Olivia places her pet frog on a line to observe the frog’s motion. The line is divided into sections that measure 1 centimeter e

zvonat [6]

Answer: 0

Explanation: Displacement is how far something or someone is from the starting point, in this case, the frog, so it moves 18F then 6B then 12B, so 0+18-6-12=0.

Hope this helps! :)

4 0

3 years ago

Please help Quickly!!

e-lub [12.9K]

Answer:

Option D 3/16

Step-by-step explanation:

Carol is cross-country skiing.

With the help of the given table we have to calculate the rate of change.

If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).

Then slope of the line connecting these points will be the rate of change.

Rate of change = Slope = $\frac{y-y'}{x-x'}$

= $\frac{\frac{17}{48}-\frac{1}{6}}{3-2}$

= $\frac{17-8}{48}$

= $\frac{9}{48}=\frac{3}{16}$

Option D 3/16 is the answer.

3 0

3 years ago

Read 2 more answers

Can u please help me with these question I don’t know how to do it

konstantin123 [22]

1. 4
2. 42
3. 30
4. 4
5. 18
6. 8
7. 36
8. 9
9. 19
10. equivalent
11. not equivalent
12. not equivalent
13. not equivalent
14. equivalent
15. equivalent
Have a good day, my dude.

3 0

3 years ago

Before going to school, Eudora ran from her home to a secret laboratory at an average speed of 12 km. Since she was running late

Brrunno [24]

Answer:

Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.

Step-by-step explanation:

Let x represent time spent in running.

We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be $2-x$ .

We know that distance is equal to speed times time.

$\text{Distance}=\text{Speed}\times\text{Time}$

Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be $12x$ .

Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be $76(2-x)$ .

We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:

$12x+76(2-x)=120$

$12x+152-76x=120$

Combine like terms:

$-64x+152=120$

$-64x+152-152=120-152$

$-64x=-32$

Divide both sides by $-64$ :

$\frac{-64x}{-64}=\frac{-32}{-64}$

$x=0.5$

Therefore, Eudora spent 0.5 hours in running.

Upon substituting $x=0.5$ in expression for time spent in flying jet-packs, we will get:

$2-x\Rightarrow 2-0.5=1.5$

Therefore, Eudora spent 1.5 hours flying using her jet-pack.

7 0

3 years ago

Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into an 18 pack. Supp

Bess [88]

Answer:

(a) 0.5948

(b ) 0.0392; A. Yes , because the probability is less than 0.05

Step-by-step explanation:

Probability of regular soda; P (regular soda) = 4/18

Probability of diet soda; P (diet soda) = 14/18

Let R = Outcome of Regular soda

D = Outcome of Diet soda

P (R) = 4/18

P(D) = 14/18

Note that it is a probability without replacement situation

The total sample space for randomly selecting two cans from the 18 packs is given as :

R R

R D

D R

D D

(a.) Determine the probability that both contain diet soda.

P(both Diet Soda) = P (DD)

= 14/18 x 13/17

= 0.59477

≈ 0.5948

(b.) Determine the probability that both contain regular soda.

P (both regular soda) = P (R R)

= 4/18 x 3/17

= 0.039215

≈ 0.0392

Would this be unusual?

A. Yes , because the probability is less than 0.05

(c.) Determine the probability that exactly one is diet and exactly one is regular

P(exactly one regular) = P(RD) + P(DR)

= (4/18 x 14/17) + (14/18 x4/17)

= 0.36601

≈ 0.3660

4 0

3 years ago