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frozen [14]
2 years ago
8

Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?

Mathematics
2 answers:
nadezda [96]2 years ago
6 0

Answer:

360 calories

Step-by-step explanation:

360

Fofino [41]2 years ago
5 0

Answer:

360

Step-by-step explanation:

You might be interested in
Find the probability of a least one birthday match among a group of 44 people.
Cerrena [4.2K]

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%

3 0
3 years ago
The width of a rectangle is 3 feet less than it’s length. The perimeter of the rectangle is 98 feet. Find the dimensions of the
horsena [70]

Answer:

The length is 26 feet and the width is 23 feet

Step-by-step explanation:

Let l represent the length of the rectangle.

The width can be represented by l - 3, since it is 3 feet less than the length

Set up an equation:

l + l + (l - 3) + (l - 3) = 98

Add like terms and solve for l:

l + l + (l - 3) + (l - 3) = 98

4l - 6 = 98

4l = 104

l = 26

So, the length is 26 feet.

Since the width is l - 3, we can plug this in for l to find the width:

l - 3

26 - 3

= 23

So, the length is 26 feet and the width is 23 feet

4 0
2 years ago
Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selli
finlep [7]

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.

3 0
2 years ago
A garden in the shape of a rectangle a 140 feet long and 95 feet wide.what is the distance around the garden
Tamiku [17]
140 + 140 + 95 + 95 = 470 feet

Hope this helps!
3 0
2 years ago
Read 2 more answers
A pharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. If 5 of the 22 bottles are contaminate
Norma-Jean [14]

Answer:

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

Step-by-step explanation:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, we have that:

Total number of combinations:

C_{22,3} = \frac{22!}{3!(18)!} = 1540

Desired combinations:

It is 1 one 5(contamined) and 2 of 17(non contamined). So:

C_{5,1}*C_{17,2} = 5*17*8 = 680

What is the probability that exactly 1 of the tested bottles is contaminated?

P = \frac{680}{1540} = 0.4416

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

5 0
3 years ago
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