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LenKa [72]
3 years ago
9

Shopping for a freezer, Manuit finally settled on one with a purchase price of $850. The annual cost of operating the freezer is

$40 per year. When Manuit's average cost of owning the freezer is less than $117, he plans to shop for a new freezer. When can Manuit shop for a new freezer?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer:

In 12 months

Step-by-step explanation:

Let a = year when average the average cost of owning a freezer would be less than $117

($850 + $40a) / a < $117

$850 + $40a < $117a

collecting like terms

$850 < $77a

a = 11.04 months

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One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Ugo [173]

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

3 0
2 years ago
Which of the expressions is rational? 25 + 2 7 − 2 64 + 45
Levart [38]

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

4 0
2 years ago
Chad drew a scale drawing of an apartment the broom closet which is 4 feet wide in real life is 6 inches wide in the drawing wha
Artyom0805 [142]
Note that 6 inches is half a foot, so if its 4ft. then 1/2 of a foot goes in 8 times which means that the scale factor is 8. :)
5 0
2 years ago
Read 2 more answers
Determine whether the table represents a linear, quadratic, or exponential function?
FrozenT [24]

Answer:

Linear

Step-by-step explanation:

For every step in x, the y values increase by 4 each time, making it a linear function, since the change in y is constant.

5 0
3 years ago
X=2y=14 and x-3y=-11
levacccp [35]
X - 2y= 14
x - 3y= - 11   | * ( -1)

x - 2y = 14
-x + 3y= 11
----------------
/    y= 25

x - 2*25= 14
x - 50 =14
x= 14+50
x=64

7 0
3 years ago
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