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prisoha [69]
3 years ago
9

While riding her bike, Susan burns 450 calories every ½ hour. Based on this

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

1575 calories

Step-by-step explanation:

Every \frac{1}{2} an hour while riding her bike, Susan burns 450 calories.  

If the rate remains constant then within one hour riding her bike Susan will burn ( 450 × 2 ) = 900 calories.  

Now, it is asked to calculate the number of calories that Susan burns in 1\dfrac{3}{4} hours bike riding.

Here, 1\dfrac{3}{4} = \dfrac{7}{4} hours

Therefore, in \dfrac{7}{4} hours she will burn \dfrac{900\times 7}{4} = 1575 calories. (Answer)

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Use exterior angles to show that the angle sum of quadrilateral PQRS is 360°.​
Shkiper50 [21]

Answer:

I don't really know but one triangle is 180 degrees so two added together is 360 degrees...

but ohh I remembered

a=c+d (since a+b=180 and c+d+b=180)

e=g+h (since e+f=180 and g+h+f= 180)

and the fact is that c+d+g+h+b+f=the angle sum of quadrilateral PQRS

a+e+b+f= the angle sum of quadrilateral PQRS (by substitutions)

a+e+b+f=360 (four angles are from one origin so it's 360 degrees )

8 0
3 years ago
Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,h
arsen [322]

Answer:

$840

Step-by-step explanation:

First, add 30 to 10.

Then, multiply your answer (40) by 21.

Finally, you get your final answer of $840.

6 0
2 years ago
a model of an apartment is shown 1\4 in. represents 3 feet in the actual apartment. Find the actual area of the master bedroom
Hatshy [7]

Answer:12 feet by 9 feet


Step-by-step explanation:

1/4 = 3 feet, so every 1/4 of an inch there is three feet, e.g. 3/4 inches of that scale is 9 feet, 1 1/2 inches would be 18 feet, make sense?

8 0
3 years ago
Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​
vlada-n [284]

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3

4 0
3 years ago
The probability of flipping a coin and noting Heads is 50%. If you flip the coin 100 times, what is the standard deviation of He
BaLLatris [955]

Answer: 5.000

Step-by-step explanation:

The formula to find the standard deviation for binomial distribution is given by :-

\sigma=\sqrt{np(1-p)}, where p is the probability of getting success in each trial and n is the number of trials.

Given : The probability of flipping a coin and noting Heads is = 0.50

The total number of trials = 100

Then , the standard deviation of Heads to be noted will be :-

\sigma=\sqrt{100(0.50)(0.50)}=5.000

Hence, the standard deviation of Heads to be noted = 5.000

5 0
3 years ago
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