Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?

Answers

Answer 1

Answer:52 miles per hour

Step-by-step explanation:


Related Questions

2. The area A of a rectangle is represented by the formula A = lw where l is the length
and w is the width. The length of the rectangle is 5.

Write an equation that makes it easy to find the width of the rectangle if we know the
area and the length.

Answers

Answer:

rearrange the formula A=lw and make the width the subject of the formula

therefore to find width, the formula is w=A/l

Width = Area/Length

What is the Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.

Area of rectangle = Length x Breadth(or width)

A = L*W

Given,

Length = L = 5

Width = W

Let Area = A

according to the formula of rectangle,

A = L*W

If Area and length is given,

W = A/L

Width = Area/Length = Area/5

Therefore, the equation is Width = Area/Length

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A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?

Answers

Answer:

.95-1.05

Step-by-step explanation:

you are able to go above 0.05 or below 1 by 0.05

since it's 95% of 1

Answer:

.05

Step-by-step explanation:

It's simple really. It's finding 5% of 1.

First you change the percent to a decimal. 5%= .05

Next you multiply .05 times 1 which is obviously 1. :)

A half of a number added to 7 gives 19. What is the number? *

Answers

Answer:

24

Step-by-step explanation:

---------------

24÷2=12

12+7=19

---------------

Answer:2412 gives you 17. (12+7=19)And 12 is half of 24.

9) Draw a graph of the linear equation y= -2/-5x +3

Answers

To graph the line you would make your first point at (3,0) because that’s the y-intercept. From there you just go down 2 points and to the right 5 points and your next point should be (5,1). Then connect the two points with a line and you’re good to go!

Renee has 13 rings and 48 bracelets. She has a small box for each item. How many small boxes does Renee have
for her rings and bracelets?
Help plz

Answers

i believe she would have 61 small boxes

Answer:

[see below]

Step-by-step explanation:

Renee has one small box for each item. This means that she would have 13 boxes for the small rings and 48 boxes for the bracelets.

13 + 48 = 61

She should have 61 boxes in total.

Hope this helps.

how to factorise 3x-9x^2

Answers

3x-9x²

Factor out 3x from the expression

Answer: 3x^ x(1-3x)

Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 −xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 −4x 2 −xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 −3x 2 +2x−1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2

Answers

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

what is the value of x?

Answers

Answer:

84°

Step-by-step explanation:

I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.

What is 2/3 as a decimal

Answers

Answer:

0.66 or 0.67 rounded

Step-by-step explanation:

2/3=

0.66

Answer:

0.6 or 0.666666666666666666666

please answer this question thanks in advance​

Answers

A. because , the triangle I believe is all 180 and you take away 120 from 180 and it equals 60

1+1+1+1+1+1+2+2+2+3+4=4=====+2233=+

Answers

Answer:

78

Step-by-step explanation:

12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?

Answers

72/2
36
36*8
Answer
288
228 because 72x4 or 36x8

The value of x must be greater than
O 0
O 1
O 3
O 7​

Answers

3 Because the length of the two would not have to make it seven so it’s got to be three

The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?

Answers

Answer:

Yes, Samuel's Dart does land on the dartboard.

Step-by-step explanation:

The diameter of the dartboard = 18 inches

∴ The radius of the circle = 9 inches = 0.75 feet

The coordinate of the bull's-eye = 11 feet from the left wall, 5 feet 8 inches from the ground

∴ The coordinate of the bull's-eye = (11, 5.67)

The position of the dart Samuel throws = 11.5 feet from the left wall, 5.5 feet from the ground

∴ The coordinates of the position of the dart Samuel throws = (11.5, 5.5)

The equation for the area of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center

r = The radius

Given that the bull's-eye is the center of the circle formed by the dartboard of radius 9 inches, we have;

(h, k) = The coordinates of the center

For the dartboard, we have;

(h, k) = The coordinates of the center = The coordinate of the bull's-eye = (11, 5.67)

h = 11, k = 5.67

∴ The equation of the circle formed by the dartboard = (x - 11)² + (y - 5.67)² = 0.75² = (3/4)² = 9/16

The square of the distance of the dart Michael throws from the bull's eye = (11.5 - 11)² + (5.5 - 5.[tex]\overline 6[/tex]7)² = 5/18

Therefore, given that the square of the distance of the dart Michael throws from the bull's eye < The square of the radius of the circle formed by the dart board and that the center of the, where the length of both the position of Samuel's dart and the radius of the circle formed by the dartboard are measured from the same point, (the center of the circle) we have;

The position of Samuel's dart is on the dart board

Therefore;

Yes, Samuel's Dart does land on the dartboard.

15. Show, using a numerical example, that the expressions (x+2) and x² + 4 are not equivalent.

Answers

Answer:

Check explanation below.

Step-by-step explanation:

For this, Ill assign X the value of 2.

(2+2)=(2^2+4)

[tex]4\neq 8[/tex]

In one version of trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes.


Select one:
Yes
No

Answers

Answer:

No

Step-by-step explanation:

The 4.5 cups of peanuts should be 4

HELPPP 30+ POINTS
.
.
.
.

Answers

Answer:

e:

ratio is smaller then number 1

so is between 0 and 1

CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????

Answers

answer should be 26.75 units hoped this helped :)

this is a geo question i do not understand someone please help me

Answers

y= 3/5x+1. remember RISE OVER RUN from algebra? the formula is y=mx+b. b is the y intercept, where the line in the graph touches the y axis. your teacher has made it easy and plotted 3 points on the graph. pick any two. it went up 3 times, and to the right 5 times. also, it is a positive slope because from left to right, it goes UP. i hope i helped!! :)

how to solve trial and error method i) y + 6 = 11

Answers

1.) you have to subtract 6 from both sides to get rid of 6

2.) 11 minus 6 is 5

3). this leaves you with y = 5

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 How much did Hans pay for his trip?

Answers

Given :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.

In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)

To Find :

How much did Hans pay for his trip.

Solution :

x = 450 miles.

Putting value of x in equation 1 we get :

y = $(0.17×450 + 15.89)

y = $(76.5+15.89)

y = $92.39

Therefore, Hans will pay $92.39 for his trip.

Hence, this is the required solution.

Triangle ABC is rotated to form triangle MNO. Which of these statements would prove that the two triangles are congruent?

Answers

Answer:A

Step-by-step explanation:

CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.

Answers

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

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you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist ​

Answers

doing this fa points , sorry not sorry .

Ms. Leigh
wants to organize the desks in the study
hall into a square. If she has 64 desks,
how many should be in each row?

Answers

Answer:

8 in each row

Step-by-step explanation:

Which answer choice is a solution to the inequality 1.5x+3.75≥5.5? –1 1 1.5 0

Answers

Answer:

x ≥ 1.17

Step-by-step explanation:

[tex]1.5x+3.75≥5.5[/tex]

First of all subtract 3.75 from both sides of the equation

That's

[tex]1.5x + 3.75 - 3.75 \geq5.5 - 3.75 \\ 1.5x \geq1.75[/tex]

Divide both sides by 1.5

[tex] \frac{1.5x}{1.5} \geq \frac{1.75}{1.5} \\ [/tex]

We have the final answer as

x ≥ 1.17

Hope this helps you

Answer:

1.5

Step-by-step explanation:

Which function is a horizontal translation of the parent quadratic function, f(x) = x2
O A. ;(z) = x2 - 4
B. g(x) = (x - 4)
C. k(x) = -42
D. h(x) = 4,2

Answers

The function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2

How to determine the horizontal translation?

The function is given as:

f(x) = x^2

An horizontal translation is represented using:

f'(x) = (x ± h)^2

Where h does not equal to 0

From the list of options. we have:

g(x) = (x - 4)^2

Hence, a function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2

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Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2.

Answers

Answer:

Points B and C

Step-by-step explanation:

Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...

Point A = -2 ... since it is one position left of -1 which is -2 since each mark is a difference of 1 and to the left is a negative value.Point B = -0.5 ... since half-way between -1 and 0 is half of -1 which is -0.5Point C = 0.5 ...since half-way between 0 and 1 is basically half of 1 which is 0.5Point D = 1.5 ... since half-way between 1 and 2 is exactly that 1.5

Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.

Answer:

Sample Response: Change the improper fraction to the mixed number 21

2

. There are two complete wholes and a half left over. Plot 21

2

on the number line halfway between 2 and 3, or Point D.

Step-by-step explanation:

Anything would really help! Due soon!

Answers

Answer:

y=mx+b

Step-by-step explanation:

Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7

Answers

Answer:

The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.

So y==7x+3 has the steepest (greatest value)  slope

Step-by-step explanation:

The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

The formula for finding the equation of a line is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

The line that will be the steepest must have the largest slope.

Looking at the equation y = 7x +3

Get the slope by comparing to have;

mx = 7x

m = 7

Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

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