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Marina CMI [18]
3 years ago
8

Four friends went to the movies together. Each ticket cost $8, and then each person also bought a soda for $3.75. Two friends ea

ch used a coupon for a $5 discount. How much did they spend as a group?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer:

$37.00

Step-by-step explanation:

Tickets:

4 friends, each ticket costs $8

4*8=32

$32

Sodas:

4 friends, each soda costs $3.75

4*3.75=15

$15

Total:

tickets + sodas

32+15=47

$47

Coupons:

2 friends each had a coupon for $5 off

2*5=10

$10 discount

Grand Total:

total-discount

47-10=37

$37.00

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(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
daser333 [38]

The question is incomplete. Below is the complete question:

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11

mm and the overall height is 18 mm.

(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic

millimeter.

(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per

cubic millimeter? Round to the nearest tenth of a cubic millimeter.

Answer:

a. 603 cubic millimetre

b. 1.7 mg/mm^3

Step-by-step explanation:

The since the pill has the shape of a cylinder and 2 hemispheres at both ends of the cylinder, if we are to calculate the volume, we will need the formula for calculating the volume of a cylinder and the volume of a hemisphere:

a. The volume of a cylinder = π×r^2×h and the volume of a hemisphere = 2×π×r^3.

The total height of the pill is 18mm but that of the cylinder specifically is 11cm, so 18 - 11 = 7mm.

This becomes the combined radius of the two hemispheres. We will now split it into 2:

7/2 = 3.5mm

This becomes the radius of each of the 2 hemispheres and will be used for calculating their respective volumes. The cylinder too will share same radius with the spheres (3.5mm). Let us take π as 3.14

Volume of the pill is then:

V =[2× (2/3 × π×r^3)] + π×r^2×h

V = [2×[(2/3) × 3.14 × 3.5^3]] + 3.14 × (3.5^2) × 11

[2 × (89.752)] + 423.115

179.504 + 423.115

= 602.619

= 603mm^3 (nearest cubic millimetre)

b. In order to find out how much vitamin C the pill will contain per cubic millimetre if it is to contain 1000mg of vitamin C, we will simply divide 1,000mg by the already calculated volume:

= 1000/63

= 1.658

= 1.7 mg/mm^3 (nearest tenth)

4 0
3 years ago
Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?​
frozen [14]

Answer:

56

Step-by-step explanation:

If the ratio of Zoe; Hannah is 3:7 and Zoe got 24 than we have to divide the 24 by 3 so we can multiply it by 7. This is because since the Zoe is the 3 and it isn't a 1 it isn't the starting point for either of the ratios we cannot multiply the 24 by 7.

24 ÷ 3 = 8

Now we multiply the 8 by 7 so that we know have many tips Hannah made

8 × 7 = 56

Hannah made 56 in tips

4 0
3 years ago
Read 2 more answers
Evaluate 64 1\2 * 10(-2) as a fraction
melamori03 [73]

Answer:

1/25

Step-by-step explanation:

64^=8

8*1/2=8/2

10^-2=1/100

8/2*1/100

1/25

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8 0
3 years ago
What is the solution set for 4x + 1 = 13, given the replacement set {1, 2, 3, 4} ?
Svetradugi [14.3K]
B-x=3

Solve for x-
4x+1-1=13-1
4x=12
4x/4=12/4
x=3
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3 years ago
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trapecia [35]

Answer:

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6 0
2 years ago
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