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3 years ago

One-fourth equals the quotient of a number and 8. Find the number.

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

6 0

1/4 = n / 8
multiply both sides by 8 to isolate n

2 = n

The number is 2.

Lapatulllka [165]3 years ago

4 0

Quotient=x

1/4=x/8

x=2

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This is hard, but I really need help!

sukhopar [10]

Please see pic, I'd solved in it.

4 0

3 years ago

Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?

serious [3.7K]

<h3>Answer:</h3>

4.5% annually

<h3>Step-by-step explanation:</h3>

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

122.50 = 100(1+r*5)

Divide both sides by 100

1.225 = 1 + r*5

Subtract 1 from both sides

0.225 = r*5

Divide both sides by 5

0.045 = r

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

5 0

1 year ago

Solve this system of equations by elimination:<br><br> 8x+9y=48<br> 12x+5y=21

Olin [163]

Answer:

Let's solve your system of equations by elimination.

8x+9y=48;12x+5y=21

Steps:

Multiply the first equation by 5,and multiply the second equation by -9.

5(8x+9y=48)

−9(12x+5y=21)

Becomes:

40x+45y=240

−108x−45y=−189

Add these equations to eliminate y:

−68x=51

Then solve−68x=51for x:

−68x /−68 = 51 /−68 (Divide both sides by -68)

x= −3 /4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

8x+9y=48

Substitute

−3 /4

8x+9y=48:

8( −3 /4 )+9y=48

9y−6=48 (Simplify both sides of the equation)

9y−6+6=48+6 (Add 6 to both sides)

9y=54

9y /9 = 54 /9 (Divide both sides by 9) y=6

<em><u>Answer: x= −3 /4 and y=6</u></em>

Hope This Helps! Have A Nice Day!!

7 0

2 years ago

Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance.

Dima020 [189]

Answer:

Step-by-step explanation:

Given that Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.

Sales per performance =8000

Production cost per performance =2000

Contribution per performance = $8000-2000=6000$

Overhead costs = 84000

Break even units = overhead cost/contribution per performance

= $\frac{84000}{6000} \\=14$

14 performances should be done to break even

3 0

3 years ago

There is a triangular parking lot at the local mall. The second angle of the triangular parking lot is six more than twice as la

Travka [436]

Answer:

The measure of the three angles are;

The first angle is 62°

The second angle is 28°

The third angle is 90°

Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

8 0

2 years ago