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# What speed is a car traveling at if it goes 360 miles in 8 hours? 60 miles per hour 45 miles per hour 40 miles per hour 50 miles per hour

2 months ago

## Solution 1

Guest #3240
2 months ago
45 miles per hour is correct

## Solution 2

Guest #3241
2 months ago
The answer is 50 miles per hour.

## 📚 Related Questions

Question
What logarithmic equation has the same solution as x-4=2^3
Solution 1

What logarithmic equation has the same solution as x-4=2^3

Solution:

x-4=2³

x-4=2*2*2

x-4=8

TO solve for x, Let us add 4 on both sides

x-4+4=8+4

x+0=12

So, x=12

But, x=12 is not a logarithmic equation and there are no options

So, an equation like, x=㏒

As log has base 10,

So, x=㏒ =12

So, logarithmic equation like x=log has same solution as x-4=2³

Solution 2

Answer:

is required lograthmic equation.

Step-by-step explanation:

Given: Given equation, x - 4 = 2³

To find: Logarithmic function whose solution is same as given equation.

First we find the solution of given Equation.

consider,

x - 4 = 2³

x - 4 = 8        ( ∵ 2³ = 2×2×2 = 8 )

x = 8 + 4       ( Transposing 4 to RHS )

x = 12

Now we find the logarithmic equation whose solution is also x = 12.

( There exist many such equations )

Lets say one of them is,

Now we find its solution to check if it is same or not.

(using lograthmic rule,)

⇒ 2 × ( x + 2 ) = 28  (using lograthmic rule, )

⇒ 2x + 4 = 28

⇒ 2x = 28 - 4     (transposing 4 to RHS)

⇒ 2x = 24          (transposing 2 to RHS)

⇒ x = 12

Therefore, is required lograthmic equation.

Question
Two lines, C and D, are represented by the equations given below: Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why?
Solution 1

The solution for the given system of equations are (6, 20).

### What is a linear system of equations?

A system of linear equations is a set of two or more equations involving two or more variables. All of the equations must be considered at once in order to find the solution, which is any pair of values that makes each equation true independently.

The given system of linear equations are y=x+14 -----(i) and y=3x+2 -----(ii).

From equation (i) and (ii), we get

x+14=3x+2

3x-x=14-2

2x=12

x=6

Substitute x=6 equation (i), we get

y=20

Therefore, the solution for the given system of equations are (6, 20).

To learn more about the linear system of an equations visit:

#SPJ3

Solution 2

Answer:

(6, 20), because both lines pass through this point

Step-by-step explanation:

We see that both equations are equal to y.  This means we can set the two equations equal to each other:

x+14 = 3x+2

Subtract x from each side:

x+14-x = 3x+2-x

14 = 2x+2

Subtract 2 from each side:

14-2 = 2x+2-2

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

6 = x

Substitute this into the first equation:

y = x+14

y = 6+14

y = 20

This makes the solution (6, 20).

Question
Fernando poured water from one-pint bottles into a three-gallon bucket. How many pints of water could the bucket hold?
Solution 1
24 pints is the answer
Solution 2
24

One gallon holds eight pints. 8 x 3 = 24
Question
The diameter of a DVD is 12 centimeters. The hole in the center of a DVD has a diameter of 1.5 centimeters. Find the area of the DVD. Round to the nearest hundredth if necessary.
Solution 1

The area of the circular DVD is given by A = 111.33 cm²

### What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the area of the circular DVD be A

Let the diameter of the DVD = 12 cm

So , the radius of the DVD = 6 cm

Now , the diameter of the hole = 1.5 cm

So , the radius of the hole = 0.75 cm

And , area of the circular DVD be A = π [ ( 6 )² - ( 0.75 )² ]

On simplifying , we get

The area of circular DVD is A = π ( 36 - 0.5625 )

The area of circular DVD is A = π ( 35.4375 )

The area of circular DVD is A = 111.33 cm²

Hence , the area of the circular DVD is 111.33 cm²

To learn more about circle click :

brainly.com/question/28391204

#SPJ3

Solution 2
111.27 centimeter squared.
Question
Y=3x - 11 Y= -3x - 2
Solution 1
Subsitution method.

Y=3x - 11
Y= -3x - 2

-3x - 2 = 3x - 11
+3x        +3x

-2 = 6x - 11
+11       +11

6x = 9
x = 1.5

Y=3(1.5) - 11
y = 4.5 - 11
y = -6.5

Now we have our points.

Answer: x = 1.5 and y = -6.5
Solution 2
Well, you do Equality method.

3x-11 = -3x-2
add 3x on both sides

6x-11 = -2
add 11 on both sides

6x = 9
divide 6 on both sides

x = 3/2

As you found the x value, you now need to find the y value by plugging in the x value in one of the above equations and solve for y.

y = 3x-11
y = 3(3/2) -11
y = 9/2 -11
y = -13/2

So, the answer is (3/2,-13/2) or (1.5,-6.5)

HOPE THIS HELPS!!!
Question
The sum of 5 consecutive integers is 270
Solution 1
54+54+54+54+54=270 270 divided by 5 is 54
Question
What must you do if you multiply one number in a ratio by n?
Solution 1

Answer:

multiply the others by n

Step-by-step explanation:

If you want to keep the same ratio, you must multiply all of the numbers by n.

A ratio of 1 : 1 will remain 1 : 1 if all the numbers are multiplied by n:

1 : 1 = n : n

_____

Comment on alternate interpretation of the question

There are occasions for multiplying the ratio by n:

x/n = 1/2

To solve this for x, we multiply the ratio (1/2) by n. This multiplies the numerator, but does not change the denominator.

x = n(1/2) = n/2

Question
The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____. Choices for first blank: probability model; relative frequency; sample space; probability Choices for second blank: 0.5; 0; 1; 100
Solution 1
0.5 is it i had this question before
Question
How many times larger is 8*10^6 than 2*10^2
Solution 1
The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:
8 ×  - 2 × 10²]
Now to make the calculation easier,, factor the expression.
(8 ×  - 2) × 10²
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 ×  is 7999800 times larger than 2 × 10².
Let me know if you have any further questions.
:)
Question
If x is to 6 as 10 is to 15, then x is equal to
Solution 1
The answer you are looking for is X = 4.

To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.

To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.

I hope this helps!

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