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FrozenT [24]
2 years ago
13

Jamie, John, and Jake are on the prom committee. They are responsible for blowing up the balloons for prom night. John can blowu

p a balloon every 15 seconds while it takes Jamie and Jake 20 seconds per balloon. If 1 out of 80 balloons are found to be defected after they are inflated, Identify the expression which represents the number of balloons inflated per hour.
A) 592.5x
B) 592.5 - 1/80x
C) 600x - 1/80
D) 600 - 1/80x
Mathematics
1 answer:
san4es73 [151]2 years ago
6 0
First, pass all the rate of inflation to ballons/hour

John: 1 b/15s * 3600 s/h = 240 b/h
Jamie: 1 b/20s * 3600 s/h = 180 b/h
Jake: 180 b/h

Then sum the rates to obtain the total rate

Total ballons per hour: 240 b/h + 180 b/h + 180b/h = 600 b/h

If it passes x hours the number of ballons inflated is 600*x

The number of ballon defective are 600*x/80

The number of ballons effectiveley inflated = 600x -600x/80 = 600x - 7.5x = 592.5x.

Answer: option A)
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You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking acc
natka813 [3]

add them together

10w+120 +45w +25

combine like terms

55w + 145

7 0
2 years ago
A submarine was 144 feet below sea level. A shark was hovering at a constant depth above the submarine. The submarine’s depth wa
Lelu [443]

Answer:

-72 feet : Shark is 72 feet below sea level.

Step-by-step explanation:

Let x represent depth of the shark.

We have been given that the submarine’s depth was twice the depth of the shark. This means that depth of submarine would be 2x.

We have been given that a submarine was 144 feet below sea level, so submarine's elevation would be -144\text{ ft}.We can represent this information in an equation as:

2x=-144

To find shark's position, we need to solve for x.

\frac{2x}{2}=\frac{-144}{2}

x=-72

Therefore, -72 feet represents shark's elevation, which represents that shark is 72 feet below sea level.

3 0
2 years ago
Read 2 more answers
Emi walks her dog every day for 2 hours how many hours does emi walk in 5 weeks
julsineya [31]

Answer:

70 hours in 5 weeks

Step-by-step explanation:

Hours * Week

2*7=14

Hours per Week * Weeks

14*5= 70

{You can also multiply 35*2}

3 0
2 years ago
Read 2 more answers
Two armadillos and three aardvarks sat in a five-seat row at the Animal Auditorium. What is the probability that the two animals
Serhud [2]

Answer:

      \dfrac{1}{15}

Explanation:

The number of different ways in which the<em> two armadillos</em> would be at the ends of the row is 2:

                      P(2,2)=\dfrac{2!}{(2-2)!}=\dfrac{2}{0!}=2

The number of different combinations in which<em> two of the three aardvarks </em>can sit at the ends of the row is P(3,2):

          P(3,2)=\dfrac{3!}{(3-2)!}=\dfrac{3\times 2\times 1}{1}=6

Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.

Now calculate the total number of different ways in which the animals can sit. It is P(5,5):

        P(5,5)=\dfrac{5!}{(5-5)!}=5!=5\times 4\times 3\times 2\times 1=120

Thus, <em>the probability that the two animals on the ends of the row were both armadillos or both aardvarks</em> is equal to the number of favorable outputs divided by the total number of possible outputs:

      Probability=\dfrac{8}{120}=\dfrac{1}{15}

8 0
2 years ago
Jennifer has a bag of chips that contains 2 red chips and 1 black chips. If she also has a fair die, what is the probability tha
borishaifa [10]
Find each probability separately and then multiply the two together


Probability for even number is 3/6 or 1/2 because their are 3 even numbers out of 6 numbers

Probability to get a black chip is 1 black chip out of 3 totals so 1/3

Multiply 1/3 by 1/2

Answer 1/6
5 0
2 years ago
Read 2 more answers
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