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ki77a [65]
3 years ago
9

Lena purchased a prepaid phone card for $20. Long distance calls cost 21 cents a minute using this card, Lena used her card only

once to make a long distance
call. If the remaining credit on her card is $12.23, how many minutes did her call last?
Mathematics
1 answer:
slega [8]3 years ago
5 0

<u>Answer:</u>

37 minutes

<u>Step-by-step explanation:</u>

Lena has 20 dollars. 20 - 12.23 = 7.77

Lena has $7.77 dollars left.

We divide this by .21 to see how many minutes her call was.

7.77 ÷ .21 = 37

Rate as Brainliest and Thanks plz

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In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
lana66690 [7]

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

7 0
3 years ago
Analyze the diagram below and answer the question that follows.
babunello [35]

Shaded part means the yellow part

  • The two sets are S and Y.
  • The centre intersection part is A\cap
  • All the areas occupied by both sets is AUB .

Rest part :-

\\ \sf\longmapsto E-AUB=(AUB)^c

6 0
2 years ago
Read 2 more answers
Susie ran a total of 181.8 minutes in 9 days. If she ran for the same amount of time each day, how many minutes did she run per
Tpy6a [65]

Answer:

20.2

Step-by-step explanation:

181.1 divided by the amount of days Susie ran.

3 0
3 years ago
PLEASE HELP ME ON THIS!!!!!!!ASAP!!!!!!!!!!!!!!!!!!
NemiM [27]

Answer:

B is the right answer

Step-by-step explanation:

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8 0
3 years ago
Cindy is growing plants for a science project. During the project, one plant grows from a height of 7 cm to 10.85 cm. What is th
Leto [7]

Answer:

Percentage increase in the height is 55%.

Step-by-step explanation:

Since Cindy is growing plants for a science project. During the project Cindy found that one plant grows from 7 cm to 10.85 cm.

We have calculate percent increase in the height of the plant.

We know formula to calculate the percentage is

% Increase in the height = Net increase in the height×100/Initial length of the plant

                                         = \frac{(10.85-7)100}{7}= \frac{(3.85)(100)}{7}=\frac{385}{7}= 55%

Therefore % increase in the height of the plant is 55%.

8 0
3 years ago
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