Mathematics High School

Betsy drove from london to wolverhampton.it took her 2.5 hours at an average speed of 56 miles per hour.Mac drove the same journy by motor bike.It took him 2 hours.Assuming that both took the same route,work out Mac's average speed in mph.

Answers

Answer 1

Answer:

44.8 mph

Step-by-step explanation:

Betsy drove from london to wolverhampton.it took her 2.5 hours at an average speed of 56 miles per hour.Mac drove the same journy by motor bike.It took him 2 hours.Assuming that both took the same route,work out Mac's average speed in mph.

The above question is solved using Proportion method

2.5 hours = 56 mph

2 hours = x mph

Cross Multiply

2.5 hours × x mph = 2 hours × 56 mph

x mph = 2 hours × 56 mph/2.5 hours

x mph = 44.8 mph

Therefore, Mac's average speed = 44.8 mph

Related Questions

A piece of wire in the form of a rectangle 18 cm long and 15 cm wide is bent and reshaped as a circle. Find the radius of a circle.

Answers

Answer:

r = 12.89

Step-by-step explanation:

18(2) + 15(3) = 81 = C

C = 2πr

81 = 2πr

81/2 = πr

r = 81/2π ≈ 12.89

What is the slope of the line passing through
(4,56) and (5,70)

Answers

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points and simplify:

(y2 - y1) / (x2 - x1)

(70 - 56) / (5 - 4)

14 / 1

= 14

So, the slope of the line is 14.

Answer:

m=14

Hope it helped if it did mark as brainliest!

The diagonal of a square is 24 cm. What is the length of one side of the square?

Answers

The answer would be 6 !!

Answer:

side = 16.97 cm

Step-by-step explanation:

24²/2 = side²

side = 16.97 cm

Is 2(2x + 3y) = 4x + 6y true or false and how do you know?

Answers

Answer:

True because when you multiply the 2 by everything in the parentheses you get 4x + 6y which is 4x + 6y = 4x + 6y. and when you solve it you'll get 0 = 0

Step-by-step explanation:

Answer:

2×2x +2×3y=

4x+6y

Step-by-step explanation:

you first clear the bracket as i have shown above

you use the one outside the bracket to multiply the ones inside the bracket and when you multiply you get 4x+6y

What is the area of a circle with a circumference of 6.28 units

Answers

Answer:

A≈3.14

Step-by-step explanation:

Are the lines parallel, perpendicular, or neither show work cause I need to understand this

Answers

Answer:

Niether

Step-by-step explanation:

the slopes arent opposite so they arent perpendicular, they arent the same so they arent parallel. they are niether due to thier slopes, but if they had the same slope, the y intercept would have to be different for them to be parrallel or else they would be the same line

The temperature, y, of a pot of water is 45 °F. The temperature increases by 30 °F per minute, x, when being heated.

Answers

Answer:

y = 30x + 45

Step-by-step explanation:

The teapot starts of at 45 °F, and every minute, the temperature increases by 30 °F

NEED ALL 4! With the solution and step by step on what to do !! worth 35 points

Answers

Answer:

I got you, give me a few minutes

1st one: 6x+12+6y

2nd one: -12a-20b

4th one: 2x times 18

Step-by-step explanation:

1: -4x + 2y + 10

2: -12a^2 + 20ab

3: i didnt know it sorry

4: x^2 - 9x + 18

all you need to do is the order of operations

12 divided into a number is wat

Answers

Answer:

x

Step-by-step explanation:

Answer:

12 divided by 1 can be 12. If thats what you mean and if not, just tell me by explaining with more detail

Step-by-step explanation:

Savannah and Shea both collect stamps. Savannah has
5 more stamps in her collection than Shea has. Write an
expression to represent the total number of stamps
they have.

Answers

2x+5 ? Sheas number can be x. Savannahs can be x+5 as she has 5 more than Shea. Meaning altogether x+x+5 is 2x+5

Answer:

Step-by-step explanation:

t=s+(s+5)

t=s+s+5

t=2s+5

Use substitute to determine if x=-4 is a solution to the equation. 5+3x=-7 fill in is or is not.

Answers

Answer:

Does fill in!!!!

Step-by-step explanation:

1st substitute x with -4

5+3(-4)=-7

2nd step multiply

5-12=-7

3rd step subtract

-7=-7

so yes -4 is correct!!!!

Answer:

-4 is a solution

Step-by-step explanation:

x = -4

Equation:

5 + 3x = -7

Substitute x for -4

New equation:

5 + 3 x -4 = -7

Solve:

3 x -4 = -12

5 + -12 = -7

-7 = -7

perímetro de un trapecio isosceles es 110 m, las bases miden 40 y 30 respectivamente.
alcula los lados no paralelos y el área.
h​

Answers

Answer: English please

Step-by-step explanation:

Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help

Answers

Answer: #4 is b

Step-by-step explanation:

Write an algebraic expression with 3 terms, at least one coefficent of 5 and 2 different variables.

Answers

Answer:

3+5y+3x-(26-3)

the ratio of pencils to erasers is 4:1 if there are 20 pencils how many erasers are there?​

Answers

Answer:

The answer is 5

Step-by-step explanation:

That's the answer because E in this equation equals the new number of erasers when you have 20 pencils. The answer is 5 erasers.

Answer:

5 i believe

Step-by-step explanation:

i think thats whatnit is

”The product of – 8 and x”​

Answers

Answer:

-8x

Step-by-step explanation:

Multiply -8 and x so it is -8x

Geometry multiple choice question

Answers

It’s the 3rd one 10.3

A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?

Answer options:

-274 in3
-274.5 in3
-274.375 in3
-274.625 in3

Answers

Answer:

274.625 in^3

Step-by-step explanation:

equation for volume LxWxH

6.5x 6.5x 6.5= 274.625

Martin truncates the number N to 1 digit.
The result is 7
Write down the crror interval for N.

Answers

N=19 is the final answer

Write ways to represent the fraction 10/9.

Answers

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

find the product below in standard polynomial form. (show work) (x+3(x-3)(x+7)

Answers

Answer:

4x^2 + 19x - 63

Step-by-step explanation:

3(x-3) = 3x - 9

x + 3x - 9 (x + 7)

(4x -9)(x + 7) = 4x(x) + 4x(7) - 9x - 9(7)

4x^2 + 19x - 63

What is the slope of this line?

Answers

Answer:

A

Step-by-step explanation:

019eheiehejeeiejehehhehe

The segments shown below could form a triangle.
A. True
B.false

Answers

Answer:

I don't no

Step-by-step explanation:

ok thanks for the

Answer:

False

Step-by-step explanation:

Its false try using the app triangle calculator

A number increased by 6 is 13. What is the number?*

Answers

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

help quick!!! please help!!
i don’t understand!! help me please!

Answers

Answer:

1/5

Step-by-step explanation:

its probability there is only 1 orange ball out of 5 balls altogether so the probability of picking 1 orange ball is 1/5

What is the first step to solving a system of linear equations algebraically?

99 POINTS- will mark branliesttt In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained.

Answers

Answer:

(-1,-4) and the coefficient is 3/2

Step-by-step explanation:

I am smart!!

Answer:

(-1, -4) coefficient 3/2

Step-by-step explanation:

the center of the shapes is (-1, -4) and the coefficient is 3/2 because the red shape is 3/2 times bigger than the black shape

Help me with this :))))

Answers

Answer:

answer is 11.9...... have a good day

Answer:

11.9

Step-by-step explanation:

TU=TV-UV

TU=17.7-5.8=11.9

PLEASE HELP FAST EASY MATH AND PRETTY STRAIGHT FORWARD!! I Will Mark Brainlist!

Answers

Answer:

We cannot draw graphs in brainly. we could send a pic or screenshot of where we could draw it though if u wanted

Solve
w(w+5) + w(w+7)

Answers

Step-by-step explanation:

w(w+5) + w(w+7)

w²+5w+w²+7w

2w²+12w

or

2w(w+12)

Step-by-step explanation:

w^2+5w + w^2+7w

2w^2+12w

100 points! Someone please help me with this! I will mark brainliest! Picture is attached below. Random answers will be reported.

Answers

Answer:

7. Orthocenter is on the triangle, at (0,0).

8. Orthocenter is outside the triangle, at (1,-5)

Step-by-step explanation:

Answer:

7. (0, 0) - on the triangle8. (1, -5) - outside the triangle

Step-by-step explanation:

Question 7

Given points:

J(1, 3), K(-3, 1), L(0,0)

Orthocenter is the intersection of altitudes. Altitude is perpendicular segment with one end on the opposite vertices.

Lets work out two altitudes and find their intersection.

Slope of JL

m(JL) = (0 - 3)/(0 - 1) = 3

Equation of the line that is perpendicular to JL and passes through K(-3, 1). The line has the slope -1/3.

y - 1 = -1/3(x - (-3)) ⇒ y = -1/3x

Slope of KL

m(KL) = (0-1)/(0 - (-3)) = -1/3

Equation of the lines that is perpendicular to KL and passes through J(1, 3). The line has a slope -1/(-1/3) = 3

y - 3 = 3(x - 1) ⇒ y = 3x

The orthocenter is the intersection of the lines:

-1/3x = 3x ⇒ x = 0 ⇒ y = 0

The point is (0, 0) which overlaps with point L so it is on the triangle

Question 8

Given points:

D(-3, -2), E(-2, -2), F(1,2)

Lets work out two altitudes and find their intersection.

Slope of DE

m(DE) = (-2 - (-2))/(-2 -(-3)) = 0, horizontal line

Equation of the line that is perpendicular to JL and passes through F(1, 2). The line is vertical:

x = 1

Slope of EF

m(EF) = (2- (-2))/(1 - (-2)) = 4/3

Equation of the lines that is perpendicular to EF and passes through D(-3,-2)

The line has a slope -1/(4/3) = -3/4:

y - (-2) = -3/4(x - (-3)) ⇒ y = -3/4x - 17/4

The orthocenter is the intersection of the lines:

x = 1y = -3/4 - 17/4 = -20/4 = -5

The point is (1, -5) is outside the triangle

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