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iogann1982 [59]
3 years ago
15

Michaela is competing in a race and what she felt the runs and rides a bicycle she runs 5 km in 0.5 hours and ride her bicycle 2

0 km in 0.8 hours at the rate given how many kilometers can Michaela run in an hour??
Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

10

Step-by-step explanation:

if she runs 5 km in half an hour, she runs 10 in a whole hour.


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When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
Romashka [77]

Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

17x+6y=35 \ \ \ \ equation \ 1

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

20x+7y=41 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 7 we get;

7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3

Now Multiplying equation 2 by 6 we get;

6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4

Now Subtracting equation 3 from equation 4 we get;

120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec

Now substituting the value of x in equation 1 we get;

17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

7 0
3 years ago
Find the slope of the line y= -3x+7
Softa [21]

Answer:

<h3>If you had a line of x = 7, (or any time you have an equation where x equals a number) then you would have a vertical line. In every vertical line, the slope is undefined. In equations of lines that are in the format of y = mx + b, the slope is represented by the "m".</h3>
6 0
3 years ago
the room charge for a hotel is 230$ each day. the estevez family spends 4 days on vacation at the hotel . at the end of their st
DochEvi [55]
10% of 230 is 23 so
230
+23 =
253
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3 0
3 years ago
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Quadrilateral ABCD is inscribed in circle O. What is ​ m∠B ​ ? Enter your answer in the box. ° A quadrilateral is inscribed in a
TiliK225 [7]

Answer:

m

Step-by-step explanation:

Step 1

Find the value of x

we know that

In an inscribed quadrilateral the opposites angles are supplementary

so

In this problem

m

substitute the values and solve for x

(2x-7)+(x+4)=180\°

3x-3=180\°

3x=183\°

x=183\°/3=61\°

step 2

Find the measure of angle B

m

substitute the value of x

m

8 0
3 years ago
What is the coefficient of -2x+8=10 ​
RideAnS [48]

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

5 0
3 years ago
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