Mathematics College

A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?

Answers

Answer 1

Divide 583.2 by 48.6 to get your answer, 12 hours.

Answer 2

Answer: The trucker traveled for 12 hours.

Step-by-step explanation:

Given : A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip.

i.e. Total distance = 583.2 miles

Average speed = 48.6 miles per hour

Using Formula , [tex]\text{Total Time}=\dfrac{\text{Total Distance}}{\text{Average speed}}[/tex]

We have

[tex]\text{Total Time}=\dfrac{583.2}{48.6}\\\\=\dfrac{5832}{486}\\\\=12\text{ hours}[/tex]

Hence, the trucker traveled for 12 hours.

Related Questions

What is the mode of the data set?

103, 77, 90, 102, 103, 81, 78, 84, 84, 87, 99, 103, 118

Question 3 options:

84

90

93

103

Answers

The mode is the number that shows up the most

103, 77, 90, 102, 103, 81, 78, 84, 84, 87, 99, 103, 118

reorder the numbers

77, 78, 81, 84, 84, 87, 90, 99, 102, 103, 103, 103, 118

103 shows up 3 times, one more than the next group (84)

103 is your answer

hope this helps

The answer i chose My answer is D 103

translation rule to describe the translation of x that is 3 units to the left and 4 units up

Answers

Translation rule: ( x - 3, y + 4 ).

( x - 3, y + 4 ) is the answer

How many times is function f called in the code segment below? 25 points?

Answers

what do you mean by saying below?

Create a 5th degree polynomial with four terms in standard form

Answers

Asked and answered elsewhere.
https://brainly.com/question/9170304

A rectangle is dilated by a scale factor of 4.

a) The original rectangle is 8 cm by 3 cm. What are the dimensions of the new rectangle?

b) Is the new image a reduction or enlargement? Explain.

HELP PLEASE

Answers

The dimensions of the new rectangle would be 32 cm by 12 cm. This is an enlargement.

Since the scale factor is 4, we multiply the dimensions of the original rectangle, the preimage, by 4. 8*4 = 32 and 3*4 = 12.

Since the new dimensions are larger than the old dimensions, it is an enlargement.

-3x = 4y = 8

X and y intercepts of this equations . Then graph line

Answers

Divide by the constant on the right to put the equation into intercept form.
.. -3x/8 +4y/8 = 1
.. x/(-8/3) +y/2 = 1

The intercepts are (-8/3, 0) and (0, 2).

Evaluate 0.3 y+\dfrac yz0.3y+zy0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5z, equals, 5.

Answers

The first thing we must do for this case is to rewrite the expression.
We have then:
0.3y + y / z
We evaluate for y = 10, z = 5:
0.3 (10) + (10) / (5)
3 + 2
5
Answer:
0.3y + y / z
For
y = 10
z = 5
the result is 5.

When [tex]$ y = 10 $ and $ z = 5 $[/tex], [tex]$ 0.3y + \frac{y}{z} $ equals $ 5 $[/tex].

Step 1 :

To evaluate the expression [tex]$0.3y + \frac{y}{z}$ when $y = 10$ and $z = 5$[/tex], follow these steps:

1. Substitute the given values of [tex]$y$ and $z$[/tex] into the expression:

[tex]\[0.3 \times 10 + \frac{10}{5}\][/tex]

2. Calculate each term separately:

- [tex]$0.3 \times 10 = 3$[/tex]

- [tex]$\frac{10}{5} = 2$[/tex]

3. Add the results:

[tex]\[3 + 2 = 5\][/tex]

So, when [tex]$y = 10$ and $z = 5$[/tex], the expression [tex]$0.3y + \frac{y}{z}$ equals $5$.[/tex]

Step 2 :

1. Multiply 0.3 by 10:

[tex]\[0.3 \times 10 = 3\][/tex]

2. Divide 10 by 5:

[tex]\[\frac{10}{5} = 2\][/tex]

3. Add the results:

[tex]\[3 + 2 = 5\][/tex]

Thus, when [tex]$y = 10$ and $z = 5$[/tex], the expression [tex]$0.3y + \frac{y}{z}$ equals $5$.[/tex]

What is the rule for this pattern of numbers?

Answers

multiply by 2 then add 2

write the rate as a fraction? 17 meters per second

Answers

Hey there!

I'm assuming this means the abbreviation for meters per second. The rate as a fraction would be 17m/s.

Hope this helped, have a great day!

solve equation (n-1)(n+6)(n+5)=0

Answers

the first step to solving this is to split the equation into the possible cases. when the product of factors equals 0, at least one of these factors is 0.
n - 1 = 0
n + 6 = 0
n + 5 = 0
now you need the equations for n
n = 1
n = -6
n = -5
this tells us that the final solutions are the following:
n = -6, n = -5, n = 1
1 2 3
let me know if you have any further questions
:)

Answer:
1, -6 and -5

Explanation:
To solve the equation means to get the values of n which satisfy the given equation.
The equation given is:
(n-1) (n+6) (n+5) = 0
This equation will be true if any of the terms (brackets) is equal to zero.
This means that:
either n-1 = 0 .............> n = 1
or n + 6 = 0 ................> n = -6
or n + 5 = 0 ................> n = -5

Hope this helps :)

this math problem is hard

Answers

The answer is c. because ½ square + ½ square is 1 square.

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

A.) x^2+y^2+4x+6y-51=0

B.) x^2+y^2-4x-6y-51=0

C.) x^2+y^2+4x+6y-3=0

D.) x^2+y^2-4x-6y-3=0

Answers

First you need to use the standard form of a circle and then transform it into the general form of a circle.

Standard Form of a Circle.
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

To use the standard form of a circle, we need to know the center of the circle and the radius of the circle. Our center is at (-2, -3), which is (h, k). Our radius is half of the diameter, which the diameter is 8 so 8 / 2 = 4. So we have a radius of 4.
In our Standard Form of a Circle, the h = -2 and the k = -3 and the 4 = r
Now we can turn this into the general form of a circle.

Insert our point (-2, -3) and our radius of 4 into the standard form of a circle equation and transform it into the general form.

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
[tex](x - (-2))^2 + (y - (-3))^2 =4^2[/tex]
[tex](x + 2)^2 + (y + 3)^2 = 4^2[/tex]
[tex](x + 2)^2 + (y + 3)^2 = 16[/tex]
Expand (x + 2)^2
[tex]x^2 + 4x + 4 + (y + 3)^2 = 16[/tex]
Expand (y + 3)^2
[tex]x^2 + 4x + 4 + y^2 + 6y + 9 = 16[/tex]
Move the 16 over to the left side by adding a - 16
[tex]x^2 + 4x + 4 + y^2 + 6y + 9 - 16 = 16 - 16[/tex]
[tex]x^2 + 4x + 4 + y^2 + 6y + 9 - 16 = 0[/tex]
Now arrange and combine like terms
[tex]x^2 + 4x + 4 + y^2 + 6y + 9 - 16 = 0[/tex]
Gathering all constant values
[tex]x^2 + 4x + y^2 + 6y + 9 -16 + 4 = 0[/tex]
Gathering all x and y values
[tex]x^2 + 4x + y^2 + 6y + 9 - 16 + 4 = 0[/tex]
[tex]x^2 + y^2 + 4x + 6y + 9 - 16 + 4 = 0[/tex]
Combining all constant terms
[tex]x^2 + y^2 + 4x + 6y + 9 - 16 + 4 = 0[/tex]
[tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex]
There is nothing else to combine so we have the general form of a circle, which is [tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex] so the answer is C

Answer: C
[tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex]

To find the equation, we will form the general equation of a circle and then will find the equation that matches the equation we formed.

General equation of a circle

The general equation of a circle is given as

[tex](x-h)^2+(y-k)^2 = R^2[/tex]

where, the (h, k) are the coordinates of the center of the circle, and R is the radius of the circle.

The correct option is c.

Given to uscircle with a center at (–2, –3) diameter of 8 units

To find

the equation of the circle that represents the general form of a circle with a center at (–2, –3) and a diameter of 8 units.

Radius of the Circle

Given that the diameter of the circle is 8 units. therefore,

[tex]\rm{ Radius\ of\ the\ circle =\dfrac{Diameter}{2} = \dfrac{8}{2}[/tex]

Equation of a circle

The equation of the circle that represents the general form of a circle with a center at (–2, –3) and a radius of 4 units can be found by substituting the values in the equation of a circle:

[tex](x-h)^2+(y-k)^2 = R^2[/tex]

Substituting the values,

[tex][x-(-2)]^2+[y-(-3)]^2 = 4^2\\\\ (x+2)^2+(y+3)^2 = 16[/tex]

[tex](x+2)^2+(y+3)^2 = 16\\\\ (x^2 + 4 + 4x)+(y^2+9+6y) = 16\\\\ x^2 + 4 + 4x+y^2+9+6y = 16\\\\ x^2 + 4x+y^2+6y = 16-4-9\\\\ x^2 + 4x+y^2+6y = 3\\\\ x^2 + 4x+y^2+6y -3 = 0[/tex]

Therefore, the equation which will be in the above form will be the equation we want. As we can see the above equation is similar to option c.

Verification

To verify that we will plot the graph. The image given below represents the general form of a circle with a center at (–2, –3) and a diameter of 8 units.

Hence, the correct option is c.

Learn more about Circle:

https://brainly.com/question/11833983

the length of a rectangular foam packing block is 9 in the width is 3 and 1/4 in and the height is 2/3 of an inch what is the volume of the foam block

Answers

To find the volume you will multiply the length by the width by the height (V=lwh).

V = 9 x 3 1/4 x 2/3
V = 19 1/2 cubic inches.

To find the volume of any prism, you find the area of the base (length times width in this case) and then multiply it by the height.

The volume of a rectangle is the product of it length, width and height, the volume of the rectangle in this example is 19 1/2 cubic inched

Volume of Rectangle

Given Data

Length of block = 9 inches

Width of block = 3 1/4 inches = 13/4 inches

Height of block = 2/3 of an inches

We know that the expression for volume of rectangle is given as

Volume = Length * With * Height

Substituting our given data we have

Volume = 9* 13/4 * 2/3

Volume = 9*13*2/1*4*3

Volume = 234/12

Volume = 19 1/2 cubic inches

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Which of the expressions below can be factor using the difference of squares method

Answers

25x^2 - 64y^2

The first thing you can do is look for a subtraction sign. The word difference implies subtraction, so you can rule out any expressions that add terms. Secondly, you can look for squares. 17x^2 - 23y^2 is a subtraction expression, but 17 and 23 are not squares. However, 25x^2 - 64x^2 is a subtraction expression and its terms are squares. 25 = 5x5, 64 = 8x8. Hope this helps!

24r3-64r2-21r+56 answer

Answers

[tex]The answer is: (3r-8)(8r^{2}-7) [/tex]

If the sum of six consecutive even integers is 354 what is the smallest of the six integers

Answers

X=smallest number

X+x+2+x+4+x+6+x+8+x+10=354
6x+30=354
6x=324
X=54

4z - 7 in terms of z

Answers

The expression is already in terms of z. Nothing need be done.

Find two numbers, if Their sum is 3/5 and their difference is 7 1/5

Answers

Set up a system of equations:

x + y = 0.6
x - y = 7.2

You can solve using elimination. Add the two equations together:

2x + 0y = 7.8
2x = 7.8
x = 3.9

Then plug the number back into either of the two original equations to solve for y:

3.9 + y = 0.6
y = -3.3

The two numbers are 3.9 and -3.3

Answer:

3.9 and -3.3

Step-by-step explanation:

sinθ=1/4, 0<θ<90; cosθ

Answers

Try this option:
1. rule: if θ∈(0;90°), then cosθ>0 and sinθ>0;
2. using the rule and sin²θ+cos²θ=1, ⇒ cosθ=√(1-sin²θ)=√15/4.

answer:
[tex] \frac{ \sqrt{15}}{4}.[/tex]

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the third side?

Answers

The Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:

a=6 (the lenght of a side of the triangle).
b=13 (the lenght of a side of the triangle).
c=x (the length of the third side).

Therefore:

c<a+b
c<6+13
c<19

The lenght of the third side is:

(13-6)<c<19
7<c<9

In this exercise we have to use the knowledge of triangles to calculate the value of the third side, so we have:

[tex]7

organizing the information given in the statement we find that:

a=6 b=13 c=x

Recognition of the Pythagorean theorem we have that will be:

[tex]c

See more about triangles at brainly.com/question/25813512

"What is the value of-3|15-s|+2^3 when s-=3"?

Answers

You probably made a typing error in writing s = -3 and wrote s - = 3 instead.

The given expression is:

[tex]-3|15-s|+ 2^{3} \\ \\ -3|15-s|+8 [/tex]

Substituting the given value of s in the previous equation, we get:

[tex]-3|15-(-3)|+8 \\ \\ =-3|15+3|+8 \\ \\ =-3|18|+8 \\ \\ =-54+8 = -46[/tex]

Thus the value of given expression becomes -46 for s = -3

Some amount of billiard balls were arranged in an equilateral triangle. And 13 balls were extra. When the same set of billiard balls were arranged into triangle in which each side has one more ball than in the first arrangement there were 7 balls shortage. How many balls were at the set?

Please help if you absolutly know the answer!!!!!!!!!!!

Answers

The answer is 203 balls.

203 balls I'm sorry I did research over the night I'm sorry I gave you the wrong answer

The average of 25, 29, and x is 29. Find x.

Answers

29 * 3 = 87

25 +29 = 54

x = 87 - 54 = 33
x = 33

29 * 3 = 87

25 +29 = 54

x = 87 - 54 = 33

x = 33

HELPPP PLLLZZZ III BEEEG

For what value of x is the square of the binomial x+1 twenty greater than the square of the binomial x–3?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9124477

Answer:

x=3.5 they did nothing wrong but I am pretty sure you meant not twenty but one hundred and twenty for that the answer is x=16

Step-by-step explanation:

The smallest angle in a triangle is 1/5 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Answers

6x=180
x=112.5 degrees
.2x=22.5 degrees
(.2x)= 45 degrees

Answer:

x + 5x + 2x = 180

8x = 180

x = 22.5 degrees ( smallest angle), Largest Angle = 112.5 degrees and the third angle = 45 degrees

Let's call the smallest angle x. Then the largest angle is 5x and then the third angle is 2x since it is twice the smallest angle. We know that the sum of all the angles in a triangle is 180 degrees.

Step-by-step explanation:

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What are the 3 steps for factoring completely?

2. How did the technique of “Factoring by Grouping” get it’s name?

3. How can you tell if Factoring by Grouping works for a problem?

4. What is a perfect square trinomial?

5. a.) How can you tell if a binomial is the difference of two squares.

b.) What is the factored form of the difference of two squares.

6. How do you find the zero’s of a polynomial function?

Answers

The three steps in Factoring Completely are:

Factor a GCF from the expression, if possible.
Factor a Trinomial, if possible.
Factor a Difference Between Two Squares as many times as possible.

Final answer:

Factoring completely involves three steps: identifying the GCF, applying the appropriate factoring method, and checking for additional factors. Factoring by grouping is used when there are four terms in an expression and common factors can be factored out separately. An example is given to illustrate the factoring by grouping process.

Explanation:Factoring Completely:Identify the greatest common factor (GCF) of the terms in the expression and factor it out.Apply the difference of squares, trinomial, or grouping method to factor the remaining expression.Check if there are any additional factors that can be factored further.Factoring By Grouping:

This technique is used when there are four terms in an expression and there is a common factor between the first two terms and the last two terms. The common factor is factored out separately from the two pairs, and then the resulting binomials are factored further.

Factoring by Grouping Example:

Consider the expression 2x + 3y + 4x + 6y. In this case, we can group the terms as (2x + 3y) + (4x + 6y). Common factors can be factored out separately, resulting in (2x + 3y)(1 + 2).

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A local park rents cabins for people who want to vacation by the forest. The fee for the rental is $27 per night.There is also $55 cleaning and maintenance charge that is added to the total bill.
Define variables for the number of days that a cabin is rented and the cost of the rental. Use the variables to write an equation that represents the cost to the rent the cabin,given the number of days that the cabin is rented.

Please answer as quickly as possible this is URGENT

Answers

x represents the total number of nights rented. $55 is the constant.

$27x + 55

who is the fastest man alive?

Answers

His name is Usian Bolt, a Jamaican sprinter known as the fastest man in history...

Have a nice evening!
~Brooke❤️

Usain Bolt set world records for the 100-m and 200-m dashes with impressive maximum speeds and accelerations.

Usain Bolt of Jamaica set the world record for the men's 100-m dash in the 2008 Olympic Games in Beijing. He accelerated for 3.00 s to reach his maximum speed and maintained it for the race. Calculating his maximum speed and acceleration involves understanding his performance data.

For the 100-m dash, Bolt's maximum speed was approximately 12.19 m/s and his acceleration was 2.63 m/s². In the 200-m dash, his maximum speed using the same assumptions was 10.36 m/s. This insight into Bolt's remarkable athleticism showcases his exceptional speed and acceleration capabilities on the track.

It's 3/5 of the wall is made from brick how do you determine the height of the brick proportion of the wall

Answers

If 3/5 of the height is made of brick, multiply the total height by 3/5 to find the height of the brick portion.

_____
"Of" means "multiplied by", so
(3/5) of the height is brick
means
(3/5)*(the height) = height of brick portion

To find the height of the brick proportion of a wall, multiply the total wall height by the fraction representing the brick portion. For instance, if the wall is 220 cm high and 3/5 is brick, the brick portion's height would be 132 cm.

To determine the height of the brick proportion of the wall, you would need to know the total height of the wall first. Once you have the total height, you can calculate the height of the brick section by multiplying the total height by the fraction of the wall that is brick. For example, if 3/5 of the wall is made from brick, and the wall is 220 cm high, the calculation would be as follows:

Height of brick portion = Total height of the wall × Fraction of wall that is brick

Height of brick portion = 220 cm × (3/5) = 132 cm

Therefore, the height of the brick proportion of the wall would be 132 cm.

Which prefix means 1/10 of a unit in the metric system?

A. milli
B. Deci
C. Hecto
D. Centi

Answers

Centi because Deci means 10 while Centi is one tenth.

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