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Ainat [17]
3 years ago
11

Nina ran 12 4/5 laps in 1/4 of an hour . At this rate , how many laps could she run in a hour ?

Mathematics
1 answer:
slega [8]3 years ago
8 0

\text{ Answer: There are }51 \frac{1}{5}\ laps.

Explanation:

Since we have given that

Number of laps Nina ran is given by

12\frac{4}{5}

Time taken by Nina to ran the lap is given by

\frac{1}{4}

Now, we use the unitary method ,

In\ \frac{1}{4}\ hour,\text{ Nina ran }12\frac{4}{5}=\frac{64}{5}\ laps\\\\In\ 1\ hour,\text{ Nina ran }\frac{\frac{64}{5}}{\frac{1}{4}}=\frac{256}{5}\ laps

Now, we change it into mixed fraction,

\frac{256}{5}=51\frac{1}{5}\ laps

Hence,

\text{ there are }51 \frac{1}{5}\ laps.

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Help me to answer this pls​
nlexa [21]

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

====================================================

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

====================================================

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
4 0
2 years ago
Jerome has a job that requires a clean shirt every day. It cost $1.25 to have a shirt washed and ironed. What is the cost for cl
Naily [24]

Answer:

$6.25

Step-by-step explanation:

1.25 x 5 = 6.25

it´s the cost times how ever many days

3 0
4 years ago
Read 2 more answers
5x + 2y = 1<br> x - 2y = 5<br><br> Solve by substitution <br><br> Thank you
quester [9]

Answer:

The answer is ( 1 , -2) in point form or x = 1 , y = -2 in eqaution form.

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0
3 years ago
The ratio of the number of boys to the number of girls on the swim team is 4:2. If there are 24 athletes on the swim team, how m
Daniel [21]

Answer:

We have 8 more boys than girls on the swim team.

Step-by-step explanation:

The ratio of boys to girls on a swim team is represented as:

4 : 2

Total number of athletes is given as 24

Total ratio is given as:

4 + 2 = 6

Step 1

We find the number of boys and girls

Number of boys = 4/6 × 24 = 16 boys.

Number of girls = 2/6 × 24 = 8 girls.

Therefore, since we have 16 boys and 8 girls on the swim team, we have 8 more boys than girls on the swim team.

6 0
3 years ago
The base of a rectangular prism is 20 cm 2 . If the volume of the prism is 100 cm 3 , what is its height?
dsp73
The correct answer is 5 cm. We can find this by substituting the values we've been given into the formula for the volume of a rectangular prism.

V = lwh   Volume of a rectangular prism
100 = 20h   Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h   Divide both sides by 20

The height of the rectangular prism is 5 cm.

Hope this helps!
6 0
3 years ago
Read 2 more answers
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