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vlada-n [284]
3 years ago
8

Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles w

est. How far apart are they when they stop? Round to the nearest tenth of a mile if necessary.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

19.209 miles from each other.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Using this we get:

{15}^{2}  +  {12}^{2}  =  {x}^{2}

225 + 144 = 369 =  {x}^{2}

\sqrt{369 }  = 19.209

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Mark has 312 books in his bookcases. He has 11 times as many fiction as nonfiction books. How many fiction books does Mark have?
larisa [96]
11x represents the fiction
X represents the nonfiction book

11x+x=312
12x=312
Divide both by 12
X=26

To find the fiction you have to do 11 times 26

11•26=286

To check the answer you add 286 and 26

If it adds up to 312 the answer is correct
6 0
3 years ago
There are 20 baseball cards and 10 football cards on display at a sports museum. Noah says that
erica [24]

Answer:

They are both right becuase if you just take away 1 from 20 and 10  you get 2 and 1. For the 4:2 one take away 1 and mutiply by 2 equalling 4:2 but they are still the same thing.

Step-by-step explanation:

6 0
2 years ago
5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location
Phantasy [73]

Answer:

<h3>#5</h3>

<u>Given vertices:</u>

  • (8, -5) and (8, 7)

These have same x-coordinate, so when connected form a vertical segment.

<u>The length of the segment is:</u>

  • 7 - (-5) = 12 units

The area of the rectangle is 72 square units, so the horizontal segment has the length of:

  • 72/12 = 6 units

<u>Possible location of the remaining vertices (to the left from the given):</u>

  • (8 - 6, -5) = (2, -5)

and

  • (8 - 6, 7) = (2, 7)
<h3>#6</h3>

<u>Similarly to previous exercise:</u>

  • (5, -8) and (5, 4) given with the area of 48 square units

<u>The distance between the given vertices:</u>

  • 4 - (-8) = 12 units

<u>The other side length is:</u>

  • 48/12 = 4 units

<u>Possible location of the other vertices (to the right from the given):</u>

  • (5 + 4, -8) = (9, -8)

and

  • (5 + 4, 4) = (9, 4)
4 0
3 years ago
4 people can paint a house in 6 hours.
ahrayia [7]

Answer:

24 hours

Step-by-step explanation:

4 people can do the work in 6 hours

4*6 = 24 work hours

It will take 1 person 24 work hours to complete the job

7 0
3 years ago
Read 2 more answers
Janene has 12 ⅔ yards of ribbon and 8⅓ yards of gold ribbon. How much ribbon does janene have in all
SIZIF [17.4K]

Answer:

21 yards

Step-by-step explanation:

12 + 8 = 20

2/3 + 1/3 = 1

20 + 1 =  21 yards of gold ribbon

6 0
3 years ago
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