While exercising, Carly burns 450 calories per hour biking and 620 calories per hour playing racquetball. Sarah burns 560 calories per hour running and 510 calories per hour playing squash. In a workout consisting of 30 minutes of each respective exercise, who burns more calories?

QUESTION POSTED AT 22/02/2020 - 04:16 PM

Answered by admin AT 22/02/2020 - 04:16 PM

It will be both of the girls burn the same amount of calories because 450/2 will give you 225 then you divide 620/2 you'll get 310. If you add 225+310, it will give you 535. That is for Carly. Then if you do 560/2, it will give you 280 then you divide 510 by 2, you'll get 235. 280+235= 535. That is for Sarah. As you can see, they are both the same results. I hope this is right!

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Related questions

One train traveled south at 60 mph. The other traveled east at 50 mph. How far apart were the trains after 3 hours?

Let's called the train that traveled south train A, and the train that traveled east train B

After 3 hours, train A is 180 miles South
and Train B is 150 miles East

Using Pythagoras, distance between is sqrt(180^2 + 150^2)
30 sqrt(6^2 + 5^2) = 30sqrt(36 + 25) = 30sqrt 61 = 234.307 miles

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

Writing to Explain How could you show the inverse operation of Exercise 5 above? Exercise 5 --- E 5 7 9 11 _ _ 42 54 66 {_= unknown you need to solve}

To figure this out, you can do 66/11, which is 6. 54/9 is 6, and 42/7 is also 6. I hope this helps, I can explain more if you need me too.

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year . how much will she have in her account in 30 years ?

A=p (1+I/k)^kn
A=20×(1+0.025÷2)^(2×30)
A=42.14

ANSWERED AT 28/03/2020 - 12:43 PM


QUESTION POSTED AT 28/03/2020 - 12:43 PM

Which of the equations has a solution of 7. y - 41 = 48 m + 6= 1 z - 2 = 5 n + 50 = 30

The answer to th question is 7.

ANSWERED AT 28/03/2020 - 12:42 PM


QUESTION POSTED AT 28/03/2020 - 12:42 PM

Which of the equations has a solution of 7. y - 41 = 48 m + 6= 1 z - 2 = 5 n + 50 = 30

The third one because you plug 7 in for z
Z-2=5 turns into 7-2=5 which is true

ANSWERED AT 28/03/2020 - 12:42 PM


QUESTION POSTED AT 28/03/2020 - 12:42 PM

True or False? The sum of the differences must be zero for any distribution consisting of n observations.

Answer:

it's right, it's true

Step-by-step explanation:

ANSWERED AT 28/03/2020 - 12:37 PM


QUESTION POSTED AT 28/03/2020 - 12:37 PM

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

A=s+30
8a+4s=840
8(s+30)+4s=840
12s+240=840
12s=600
s=50
a=50+30=80

Check:
80(8)+50(4)=640+200=840 CHECKS. 

80 Adults and 50 Students. 


ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

Three brothers spent $780. Marcos spent $30 more than Marc, Marc had twice as Nicoli. How much did Marcos spent?

First, divide 780 by 2.That is 390.

Then, subtract 30 from 390 which is 360.

then you divide that by two again (180), add the 30, and that's your answer :)

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

The perimeter of the rectangle is 30 centimeters. What is the length of side c?

The answer would be 10

ANSWERED AT 28/03/2020 - 12:26 PM


QUESTION POSTED AT 28/03/2020 - 12:26 PM

It takes Nate four hours to paint a wall, and it takes Jill seven hours to paint the same wall. About how many hours will it will take if Nate and Jill work together to paint the wall?

Rate=1/time
N=1/4 and J= 1/7
TotalN+J= \1/4 + 1/7 = 11/28

Then:
Time = 1/rate = 1/(11/28) = 28/11 hours = 2 6/11 hours= about 2.545 hours. 

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11, 16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78, 99 A. 40.1 B. 35.6 C. 45 D. 50

To find the mean of a given data set, add up all the values then divide by how many numbers there are.


11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99 = 601

601 / 15 = 40.06666

Round the answer to 40.1 > Choice C is your answer

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

A student spent 3/4 of an hour reading an article and 2 1/6 hours writing an essay about what he read. how much time did the student spend on the assignment?

So, we need to add 3/4 + 2 1/6.

First, let's find a common denominator.

12 is one.

4 x 3 = 12  3 x 3 = 9        6 x 2 = 12   1 x 2 = 2     2/12 & 9/12 = 11/12

2 + 0 = 2.  2 + 11/12 = 2 11/12.

2 11/12 is your answer.

If you have any questions, comment below.

Glad I could help, and good luck!

AnonymousGiantsFan

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!1 A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0–9. Suppose that a license plate is randomly generated, one character at a time. What is the probability that the first character is a number? Enter your answer as a decimal rounded to the nearest hundredth in the box

It is .277
because there are 26 letters in the alphabet, and 10 numbers given (0-9)
add both amount of characters: 26+10=36
then put a number of numbers over the total amount of characters: 10/36
now divide 10 by 36
and you will get .277777, but since you said by the nearest hundredth, estimate and get
=.277


ANSWERED AT 28/03/2020 - 12:11 PM


QUESTION POSTED AT 28/03/2020 - 12:11 PM

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? A. 120 feet B. 17 feet C. 23 feet D. 289 feet

Answer: B is the right answer. Diameter of the given rectangular lawn=17 feet.


Step-by-step explanation:

Given: A rectangular lawn 15 feet long and 8 feet wide.

To find the diagonal of lawn such that it will divide the area of the lawn into two right triangles. [i.e. diagonal will be the hypotenuse]

So by Pythagoras theorem of right triangles,

hypotenuse^2=perpendicular^2+base^2\\\Rightarrow\ diagonal^2=length^2+width^2\\\text{substitute the values of length and width,we get}\\\Rightarrow\ diagonal^2=15^2+8^2=225+64=289\\\Rightarrow\ diagonal=\sqrt{289}= \sqrt{17\times17}=17

Therefore diameter of the given rectangular lawn=17 feet.

ANSWERED AT 28/03/2020 - 12:10 PM


QUESTION POSTED AT 28/03/2020 - 12:10 PM

Ralph is an electrician. He charges an initial fee of $24, plus $33 per hour. If Ralph earned $189 on a job, how long did the job take?

Charge of Ralph:

Charge = $24  + $33 per hour

Let the time worked be = x.

For x hours, the cost = 33*x = 33x

Charge = 24 + 33x

24 + 33x = 189

33x = 189 - 24

33x = 165

x = 165/33

x = 5

The job took 5 hours.

I hope this helped

ANSWERED AT 28/03/2020 - 12:09 PM


QUESTION POSTED AT 28/03/2020 - 12:09 PM

Would you rather Run at 100 mph or fly at ten mph?

Flying is something that can happen in general without superpowers by the power of a jetpack and many say magic, so I'd rather run 100 MPH
-TheQuestClub

ANSWERED AT 28/03/2020 - 12:09 PM


QUESTION POSTED AT 28/03/2020 - 12:09 PM

A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered a plane seating 150 people at a cost of $250 000. Additional costs to the agency are incidental fees of $300 per person. For each $30 that the price is lowered, one new person will sign up. How much should the price per person be lowered to maximize the profit for the agency?

So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}
quantity(x)&price(y)\\
-----&-----\\
80&5000\\
81&4970\\
82&4940\\
83&4910
\end{array}\\\\
-----------------------------\\\\

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 80}}\quad ,&{{ 5000}})\quad 
%   (c,d)
&({{ 83}}\quad ,&{{ 4910}})
\end{array}
\\\quad \\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30
\\ \quad \\\\
% point-slope intercept
y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\
\left.\qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum

ANSWERED AT 28/03/2020 - 12:02 PM


QUESTION POSTED AT 28/03/2020 - 12:02 PM

If somebody runs 100meters/90secs than how many meters will he run in 1 minute

66.67 m calculating using unitary method.

ANSWERED AT 28/03/2020 - 11:53 AM


QUESTION POSTED AT 28/03/2020 - 11:53 AM

Tim’s quizzes count for 50% of his grade, his notes counts for 20% of his grade, and tests count for 30% of his grade. If he has quiz scores of 5, 2, and 9, notes scores of 3, 9, and 5, and test scores of 9, 5, and 9, his overall score is _____. Do not round your answer.

To find Tim's overall score, first we must find the sum of his scores from quizzes, notes, and tests.

Hence, we have

quizzes = (5 + 2 + 9) = 16/3
notes = (3 + 9 + 5)/3 = 17/3
tests = (9 + 5 + 9)/3 = 23/3

Now, we must consider the percentage that these tests contribute to his overall score. So we have the following:

quizzes = 0.5(16)/3 = 8/3
notes = 0.2(17)/3 = 3.4/3
tests = 0.3(23)/3 = 6.9/3

We now add these to find the overall score which is 8 /3+ 3.4/3 + 6.9/3 = 18.3/3 = 6.1.

Thus, Tim's overall score is 6.1.

Answer: 6.1

ANSWERED AT 28/03/2020 - 11:40 AM


QUESTION POSTED AT 28/03/2020 - 11:40 AM

Circle A has a radius of 6 cm and arcs RC, CS, and SM are congruent. What is the length of arc RC? 30 60 120 180

Given that the 3 arcs are congruent, it means they have the same angle.
A circle measures 360 degrees, thus, let us divide it into three parts to get the arc length of the 3 arcs RC, CS, and SM which is in Circle A.
360 degrees / 3 = 120 degrees
Again, the three arcs are congruent so the length of arc RC is 120 degrees,  same with arcs CS and SM.

ANSWERED AT 28/03/2020 - 11:39 AM


QUESTION POSTED AT 28/03/2020 - 11:39 AM

Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $178.95. If you pay the bill within 15 days, how much should you tender? A little help please?

Answer:

you should tender $173.58

Step-by-step explanation:

Your bill from Acme Supply Company is marked "3/15, net 30"'

We know When "3/15, net 30" is marked on any bill, it means that if the bill is paid within 15 days there is 3% discount, otherwise net pay within 30 days.

In this question it is asked that if you pay the bill within 15 days, so it is clear that you get the discount of 3% on the bill of $178.95.

Therefore we find the value less than 3% of $178.95.

= 3/100 × 178.95

= 0.03 × 178.95 = 5.3685 rounded to $5.37.

Now subtract 3% amount from the bill amount.

= 178.95 - 5.37 = $173.58

If you pay the bill within 15 days, you should tender $173.58

ANSWERED AT 28/03/2020 - 11:36 AM


QUESTION POSTED AT 28/03/2020 - 11:36 AM