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3 years ago

Help !!!! Thank you!!!!

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

Answer:

Option (G)

Step-by-step explanation:

Volume of the real cane = 96 in³

Volume of the model of a can = 12 in³

Volume scale factor = $\frac{\text{Volume of the model}}{\text{Volume of the real can}}$

= $\frac{12}{96}$

$=\frac{1}{8}$

Scale factor of the model = $\sqrt[3]{\text{Volume scale factor}}$

$=\sqrt[3]{\frac{1}{8}}$

$=\frac{1}{2}$

Therefore, scale factor of the model of a can = $\frac{1}{2}$ ≈ 1 : 2

Option (G) will be the correct option.

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Pavlova-9 [17]

Answer:

A.1/12

Step-by-step explanation:

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And probability of the card being even is 1/3

And if you are asked to find a yellow even card we multiply those two numbers to get 1/12

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3 years ago

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Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?

SVETLANKA909090 [29]

It is 15% of 20 pound water
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3 years ago

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Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

Therefore the equation becomes:

y = 0.001 x + 30

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

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3 years ago

Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per mon

Leokris [45]

Marilyn's finance charge at the end of the first month will be
$991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
$991.38 +16.44 -410.00 = $597.82

The finance charge at the end of the second month will be
$597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
$597.82 +9.91 -410.00 = $197.73

The finance charge applied at the end of the third month is
$197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
$197.73 +3.28 = $201.01
to pay off the balance.

In all, Marilyn has paid 2×$410.00 +201.01 =
$1021.01 . . . . . . . . corresponds to the first choice

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In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.

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3 years ago

A roof is shaped like a square pyramid. The base length is 10 meters and the slant height is 12 meters. What is the surface area

nasty-shy [4]

Surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters

<u>Solution:</u>

Given that

Shape of the roof is square pyramid.

Base length of square pyramid roof = 10 meters

Slant height of square pyramid roof = 12 meters

Need to calculate the surface area of the roof

$\text { Surface area of square pyramid }=s^{2}+2 \times s \times l$

Where s is side of square base and l is slant height.

In our case s = 10 meters and l = 12 meters

On substituting the given values in formula we get

Surface area of square pyramid $=10^{2}+(2 \times 10 \times 12)=100+240=340 \text { meters }^{2}$

Hence surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters.

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4 years ago