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Molodets [167]
3 years ago
12

Elizabeth wants to ride her bicycle 28.6 miles this week. She has already ridden 19 miles. If she rides for 3 more days, write a

nd solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.
Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer: The average number of miles she would have to ride each day to meet her goal = 3.2 miles.

Step-by-step explanation:

Given: Elizabeth wants to ride her bicycle 28.6 miles this week.

She already ridden 19 miles.

Number of days she will ride more =3

Let m = average number of miles ridden in a day.

Then,

Total distance = initial distance + (m) (Number of days)

i.e. 28.6 = 19+3m   (Required equation)

Subtract 19 from both sides , we get

9.6=3m\\\\\Rightarrow\ m=\dfrac{9.6}{3}\\\\\Rightarrow\ m=3.2\ miles

Hence, the average number of miles she would have to ride each day to meet her goal = 3.2 miles.

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An animal shelter has a bin filled with 456 pounds of dog food there are 4 large dogs at the shelter who each eat 2 pounds of th
Y_Kistochka [10]

If there are 4 dogs and they each eat 2 pounds of food each day. Then, all together there are 8 pounds of food getting eaten each day. You will want to divide 456 by 8.

456/8= 57 days.

456 punds of dog food will last 57 days for 4 dogs.

7 0
3 years ago
A cake shop can make 240 boxes of cakes for 8 days. How many cakes can the shop make in 12 days?​
denpristay [2]

Answer:

<h2>360 cakes</h2>

Step-by-step explanation:

<h2>soln:</h2><h2>onecake =240\8=30</h2><h2>then 12 cakes =30×12=360</h2>

6 0
2 years ago
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A business owner pays $1,200 per month in rent and a total of $120 per hour in employee salary for each hour the store is open.
Angelina_Jolie [31]

Answer: I'm pretty sure it's 200x - 120x = 1,200

Step-by-step explanation:

7 0
3 years ago
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En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

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8x7x6 = 336. There are 8 possible options for slot 1, then 7 for 2, and 6 for the last slot.
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