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Drupady [299]
3 years ago
9

If y varies directly with x and y = 9 when x = 3, find y when x = 1.

Mathematics
1 answer:
Elenna [48]3 years ago
6 0

Equation: y = 3x

y = 3

Step-by-step explanation:

y ∝ x

y = Kx

9 = 3K

K = 9/3 = 3 Substitute y and x value to find K

y = 3x

Equation: y = 3x

x = 1

y = 3(1)

y = 3

Hope this helps!

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A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to b
natita [175]

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

8 0
3 years ago
How to find out the volume of a prism
slamgirl [31]

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Step-by-step explanation:

1)Write down the formula for finding the volume of a rectangular prism. The formula is simply V = length * width * height.

2)Find the length.

3)Find the width.

4)Find the height.

5)Multiply the length, the width, and the height.

6)State your answer in cubic units.

8 0
3 years ago
Read 2 more answers
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons
Juliette [100K]

Answer:

<em>The water is leaking at the rate of 0.0625 gal/min.</em>

Step-by-step explanation:

<u>Rate of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

\displaystyle r=\frac{3\ gallons}{48\ min}

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.

5 0
3 years ago
Please help please please please
Iteru [2.4K]

Answer:


Step-by-step explanation:

40 degrees, then 40/360

40/360 is equal to 1/9

1/9 times pi times times r^2  

just find r and multiply all together, thats my best answer cause my IQ is like 60

4 0
3 years ago
What is the solution to the equation 1/4 × +2= 5/8x-5?
egoroff_w [7]

Step 1. Divide by the numbers 0.25 (1 divided by 4):

0.25 x +2=5 divided by 8x-5

Step 2. Divide the by the numbers 0.625 (5 divided by 8):

0.25 x +2=0.625x-5

Answer: 0.25 + 2= 2.25

Please correct me if I'm wrong, hope I could help! :)

5 0
3 years ago
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