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Reil [10]
3 years ago
7

6. Find the sum or difference 1/3(9 - 6m) + 1/4 (12m-8)

Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9  - 1/3 *6m  + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

m+1

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(3a) You spend $72 on tapes and CDs. Each tape costs $8 and each CD costs $12.
Makovka662 [10]

Answer:

3a. 8t + 12c = 72

3b. t + c = 7

Step-by-step explanation:

number of tapes is t

number of Cds is c

so 8t + 12c = 72

and t + c = 7

so t = 7 - c

replace t = 7 - c in to the first equation

8(7 - c) + 12c = 72

56 - 8c + 12c = 72

4c = 72 - 56 = 16

c = 4

if c = 4, then t = 7 - c = 7 - 4 = 3

6 0
2 years ago
Pls answer will mark Brainy m
Tpy6a [65]

Answer:

d(4) = 64

Step-by-step explanation:

Using the recursive formula

d(n) = d(n - 1) + 17 with d(1) = 13, then

d(2) = d(1) + 17 = 13 + 17 = 30

d(3) = d(2) + 17 = 30 + 17 = 47

d(4) = d(3) + 17 = 47 + 17 = 64

8 0
3 years ago
Read 2 more answers
What is 24.57 as a fraction
ArbitrLikvidat [17]
You answer is; 2457/100
6 0
3 years ago
Read 2 more answers
What time is 100 minutes before 4:00 p.m.
Gnesinka [82]
2:20

60 minutes subtracted from 4 p.m. is 3 p.m.  Since it was 100 minutes, there are 40 minutes to take away from 3 p.m.
7 0
4 years ago
Read 2 more answers
Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket
lianna [129]

Answer:

Rocket can hold maximum 4.5 gallons of water.

Step-by-step explanation:

Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom

Volume of the cone = \frac{1}{3}\pi r^{2}h

Here r = radius of the circular base

h = height of the cone

Volume = \frac{1}{3}\pi (4)^{2}(14)

             = \frac{224\pi }{3} cubic inch

Volume of the cylinder = \pi r^{2}h

Here r = radius of the base

h = height of the cylinder

Volume = \pi (4)^{2}(16)

             = 256π cubic inches

Volume of the rocket = \frac{224\pi }{3}+256\pi

                                   = \frac{992\pi }{3}

                                   = 1038.82 cubic inches

Since 231 cubic inches volume of a rocket can hold water = 1 gallon

Therefore, 1038.82 cubic inches space can hold water

= \frac{1038.82}{231}

= 4.497

≈ 4.5 gallons

Rocket can hold 4.5 gallons of water.

7 0
3 years ago
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