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Mkey [24]
3 years ago
8

Help please, explain each step or no points.

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
The proportion pop/total = 5/7 is presumed to hold for the next 500 songs.

pop/500 = 5/7
pop = 500*5/7 ≈ 357

357 of the next 500 songs downloaded are expected to be pop songs.
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A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the mod
ipn [44]

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = \frac{1}{9}in

Rb = real building = 678ft = 8136in

Rw = real window = ?

\frac{Mw}{Mb} = \frac{Rw}{Rb}

\frac{1/9}{18} = \frac{Rw}{8136}

\frac{1}{9*18} = \frac{Rw}{8136}  

\frac{1}{162} = \frac{Rw}{8136}

\frac{1*8136}{162}= \frac{8136*Rw}{8136}

\frac{8136}{162} = Rw

\frac{452}{9} = Rw

Rw ≈ 50.2in ≈ 4.2ft

5 0
2 years ago
A customer at the produce section of a food store bought cucumbers and heads of lettuce . The quantity she purchased of the head
kkurt [141]
He bought 3 cucumbers because 3*5=15, 15-6=9, 9*.7=6.3, .3*3=.9, .9+6.3=7.2
4 0
3 years ago
Which number is rational?
salantis [7]

The last one is rational because it is a terminating decimal.

8 0
3 years ago
Sin θ = 12/37. Find tan θ.
ivann1987 [24]

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = \frac{opposite}{hypotenuse}

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

12^2 + b^2 = 37^2

b = 35

tanθ = \frac{opposite}{adjacent} = 12/35

Choice B is the correct answer.

6 0
3 years ago
Read 2 more answers
Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.
pogonyaev

Answer:

72/4=18 so she could make their lunch for 18 days

Step-by-step explanation:

so it would be 6x12 for the bagels which would be 72

for the apples it would be 8x9 which is 72

the cookies would be 12x6 to get 72

and the juice boxes would be 9x8 to get 72

divide that by 4 to get 18

5 0
3 years ago
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