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IgorC [24]
2 years ago
9

If 6 = m/8, What does "m" equal?

Mathematics
2 answers:
rodikova [14]2 years ago
6 0

<u>Answer:</u>

  • 48 = m

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

  • 6 = m/8

<u>[Multiply 8 both sides to isolate the variable]</u>

  • => 8 x 6 = m/8 x 8

<u>[Final Answer]</u>

  • => 48 = m

Hence, the value of m is 48.

Ostrovityanka [42]2 years ago
5 0

Answer:

48

Step-by-step explanation:

Hello :)

To solve this question, we need to isolate the variable m.

6=m/8

To get rid of 8, we can multiply 8 both sides to get rid of it.

8x6=m

48=m

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A pile of newspaper was 17 3/4 inches high. Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inc
Murljashka [212]

Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches

Step-by-step explanation:

Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 17 3/4= 71/4 inches

d = 103/12 inches

n = 3 weeks

the height in inches, of the pile after 3 weeks, T3. Therefore,

T3 = 71/4 + (3 - 1)103/12

T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6

T3 = 419/12 inches = 34 11/12 inches

7 0
2 years ago
1 + tanx / 1 + cotx =2
Lera25 [3.4K]

Answer:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 + cot(x) + tan(x) = 2

Multiply both sides of 1 + cot(x) + tan(x) = 2 by tan(x):

1 + tan(x) + tan^2(x) = 2 tan(x)

Subtract 2 tan(x) from both sides:

1 - tan(x) + tan^2(x) = 0

Subtract 1 from both sides:

tan^2(x) - tan(x) = -1

Add 1/4 to both sides:

1/4 - tan(x) + tan^2(x) = -3/4

Write the left hand side as a square:

(tan(x) - 1/2)^2 = -3/4

Take the square root of both sides:

tan(x) - 1/2 = (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

tan(x) = 1/2 + (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Take the inverse tangent of both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) = 1/2 - (i sqrt(3))/2

Take the inverse tangent of both sides:

Answer:  x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

4 0
3 years ago
Which is the solution set of the inequality 15y-9&lt;36
m_a_m_a [10]
15y - 9 <36.
Add 9 to each side.

15y- 9 (+9) < 36 + 9.
15y < 45.
y < 3.
Hope it helps! :)
7 0
3 years ago
Read 2 more answers
14<br> 10<br> 56<br> 40<br> 14<br> x<br> 56<br> find the length of the missing side
IrinaK [193]

Answer: 14x56=784

Step-by-step explanation:

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3 years ago
Marylou is blowing up a beach ball. The package says that the ball has a diameter of 12 inches. What is the volume of the beach
Pavlova-9 [17]

Answer:

Volume of a circle = approximatley 25.12

Step-by-step explanation:

1. Volume of a circle= 4/3*pi*radius

2. Radius equals 1/2 of diameter

3. 12/2=6

4. radius=6

5. 4/3*3.14*6=25.12

6. Volume of a circle = approximatley 25.12

5 0
3 years ago
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