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Alchen [17]
3 years ago
6

After a power failure, the temperature in the freezer increased at an average rate of 2.5 degrees Fahrenheit per hour. The total

increase was 7.5 degrees Fahrenheit. Write and solve an equation to find the number of hours until the power was restored.
Mathematics
1 answer:
rjkz [21]3 years ago
6 0
X=hours
7.5=2.5x
3=x
x=3
3 hours until the power was restored
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a_sh-v [17]
The first one would be C and the 2nd is A. 
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3 years ago
Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan
Bond [772]
It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
   The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
     8.40 = 0.10m
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d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.
8 0
3 years ago
Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its dest
Goryan [66]

Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A  reaches its destination in 17 minutes.

this means that speed of car A is given by:  \dfrac{x}{17} miles/minutes  ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: \dfrac{y}{32} miles/minutes

as speed of both cars are equal this means:

\dfrac{x}{17}=\dfrac{y}{32}------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means y-x=12

y=12+x------(2)

on using equation (1) and (2) we have:

\dfrac{x}{17}=\dfrac{12+x}{32}\\  \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.



8 0
3 years ago
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probabi
Ksenya-84 [330]

Answer:

Proved,

P(A∪B)=0.72

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Probability( catch the bus to the shop ), P(A) = 0.4

Probability( catch the bus from the shop ), P(B) = 0.7

Both A and B are independent events.

Therefore,

P(A∩B) = 0.4×0.7

           = 0.28

Probability Sue walks one way = 1 - P(A∩B)

                                                   = 1 - 0.28

                                                   = 0.72

Hence, the probability that Sue walks at one way is 0.72

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3 years ago
Someone help me asap
Marianna [84]
30 + 70 + D = 180
100 + D = 180
D = 80°
7 0
3 years ago
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