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olya-2409 [2.1K]
3 years ago
13

21. Brian wants to purchase a piece of fabric

Mathematics
1 answer:
ella [17]3 years ago
8 0

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

  • Choice A is 4\frac{3}{4} feet long

Let us convert feet to inches

4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet

Now convert to inches

We know that,

1 feet = 12 inches

\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice  B is 4\frac{1}{2} feet long

4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet

Now convert to inches

\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice C is 4\frac{1}{3} feet  long

4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet

Now convert to inches

\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

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It took a car 4 hours to travel 180 miles. If the car drove a steady speed, how fast was it going?
tester [92]

Answer:

45 mph

Step-by-step explanation:

It took the car 4 hours to travel 180 miles

Then

It took the car 4/4 hours to travel 180/4 miles

Since 4/4 = 1 and 180/4 = 45

Then

It took the car 1 hours to travel 45 miles

Therefore ,the car was it going at 45 mph

7 0
2 years ago
The population of algae in an experiment has been increasing by 5% each day. If there were 5p algae at the beginning of the expe
Ostrovityanka [42]

Answer:

Number of algae in 7 days = 70.355

Step-by-step explanation:

Given:

Algae in beginning = 50

Rate of increasing = 5% per day = 0.05

Number of days = 7 days

Find:

Number of algae in 7 days.

Computation:

Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355

Number of algae in 7 days = 70.355

4 0
3 years ago
Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is
nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented  below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

read more: brainly.com/question/20373665?referrer=searchResults

6 0
2 years ago
Read 2 more answers
NEED HELP ASAP!!!!!!!!
nikklg [1K]
B. 195

It’s B because if you divide 584 with 3 it equals 194.66 but you round up and it becomes 195.
8 0
3 years ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
atroni [7]

Answer:

y = x - 4

Step-by-step explanation:

y - 4 = x - 8

y = x - 4

4 0
3 years ago
Read 2 more answers
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