A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?

Answers

Answer 1
Answer:

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

Answer 2
Answer:

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

What is the distance?

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

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Cos²x + sin2x - 1 = 0, 0° ≤ x ≤ 90°, tan x =​
A limited edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. Which equation can be used to find the value,y, after x years? (Round money values to the nearest penny.)
-5(7+2y)+15(x+2y); x=7 and y=-7

The measures of the angles of a triangle are shown in the figure below. Solve for x.49
62
x

Answers

Angles will add up to 180.
49+62+x=180
111+x=180
subtract 111 both sides
x= 69°

Hope this helps!

The product of y and 9

Answers

The expression for the product of y and 9 is 9y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The product of y and 9.

This can be written as,

= 9y

Thus,

The expression is 9y.

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Answer:

9y

Step-by-step explanation: Product is also the same thing of multiplication so 9 x y equals to 9y.

~~~~Inuola1234

The graphs of each group of equations have at least one characteristic in common. Name the characteristics and then graph each group of equations on the same axes to verify your answer.

Answers

a.

Common characteristics, all the equations pass through the origin.

b.

Common characteristics, all equations are parallel lines and are increasing function

c.

Common characteristics, all the equations pass through the origin.

d.

Common characteristics, all the equations pass through the origin and lie on the same points. The three equations are the same.

e.

The three equations intersect at (2,-2).

Find the future value (FV) of the annuity due. (Round your answer to the nearest cent.) $175 monthly payment, 7% interest, 11 years

Answers

Answer:

The future value of the annuity due to the nearest cent is $2956.

Step-by-step explanation:

Consider the provided information:

It is provided that monthly payment is $175, interest is 7% and time is 11 years.

The formula for the future value of the annuity due is:

FV of Annuity Due = (1+r)* P[((1+r)^(n)-1)/(r)]

Now, substitute P = 175, r = 0.07 and t = 11 in above formula.

FV of Annuity Due = (1+0.07)* 175[((1+0.07)^(11)-1)/(0.07)]

FV of Annuity Due = (1.07)* 175[(1.10485)/(0.07)]

FV of Annuity Due = 187.5(15.7835)

FV of Annuity Due = 2955.4789

Hence, the future value of the annuity due to the nearest cent is $2956.

2x+3y=-11, and x=2y+12 solve in substition equations

Answers

The answer would be (2,-5)
Because you know the equation for what x is, you can substitute (2y+12) for x. Your new equation would look like this;

2(2y+12)+3y=-11

Distribute the 2 into 2y+12

4y+24+3y=-11

Add 4y and 3y

7y+24=-11

Subtract 24 from both sides

7y=-35

y=-5


Now, substitute -5 in for y in the 2nd equation.

x= 2(-5)+12
x=-10+12
x=2


x=-5
y=2

Hope this helped! You can reach out to me if you have any more questions!

Luis drew a rectangle on his paper that was 112 cm by 16 cm. What is the area and the perimeter of the rectangle that Luis drew on his paper?PLEASE HELP ME OUT!! THIS IS DUE TODAY!​

Answers

Answer:

Area - 1,792 Perimeter-256

Step-by-step explanation:

Area

length x width 112 x 16 =1,792

Perimeter

length x2 width x2 then add answers together

112x2 +16x2 =256