The time taken for a journey on a motorway varies inversely as
the average speed for the journey. The journey takes 1.5 h
when the average speed is 54 miles per hour. Identify the time
taken in hours for this journey when the average speed is 45
miles per hour.

Answers

Answer 1

Time that will be taken at speed of 45 miles/hr is 1.8 hrs

Step-by-step explanation:

Step 1: Given the speed of the journey = 54 miles/hr and time = 1.5 hours. Find the distance of the journey using the speed formula.

Distance = Speed × Time

               = 54 × 1.5 = 81 miles

Step 2: Calculate the time taken for this journey given speed = 45 miles/hr

TIme = Distance/Speed

        = 81/45 = 1.8 hrs


Related Questions

Write the number 3.636408 to the nearest ten-thousandth

Answers

Your answer will be 3.6364
Because 4 is in the ten-thousandth place and if the number next to the 4 is not greater than 1 your number will stay the same and all the numbers after will disappear☕︎

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number 3.636408 to the nearest ten-thousandth will be 3.636.

What is a number line?

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The given decimal number 3.636408 can be written to the nearest ten-thousandth with the help of a number line. The two of the closest number to 3.636408 are 3.636 and 3.637.

Now, as it can be observed that the distance between 3.636408 and 3.636 is less than 3.636408 and 3.637.

Therefore, the number 3.636408 to the nearest ten-thousandth will be 3.636.

Learn more about the Number line:

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The family size bottle of sunscreen holds 12 fluid ounces of sun screen .The regular bottle holds 75%

Answers

I’m pretty sure the answer is supposed to be 9

Answer:

3!!!!!!!!!!

Step-by-step explanation:

Please just believe me

Ivanna is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of History is Fun she sells. Suppose that x and
y are related by the equation 2400+120x = y.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change in Ivanna's total pay for each copy of History is Fun she sells?
$
What is Ivanna's total pay if she doesn't sell any copies of History is Fun?

Answers

1. For every extra copy, Ivanna sells she gets an additional 120 dollars (+$120) and for every less copy she loses $120 dollars (-$120).

2. Ivanna's total pay is $2,400 if she doesn't sell any copies of History is Fun.

Step-by-step explanation:

Step 1:

y = 2,400 + 120x, where y is Ivanna's total pay and x is the number of copies of history is fun she sells.

To calculate the change is Ivanna's pay we find the difference in pay for two consecutive values of y.

We must calculate y when x is of consecutive values i.e. 1, 2, 3, 4 ...

Step 2:

We calculate the value of y when x = 1, 2 and 3.

When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.

When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.

When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.

Step 3:

To calculate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.

(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.

So for every extra copy, Ivanna gets an extra $120.

To calculate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.

(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.

So for every less copy, Ivanna loses $120.

Step 4:

To calculate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.

When x = 0, y = 2,400 + 120 (0) = $2,400.

So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.

9.0758 to 2 significant figures.

Answers

Answer w/ explanation:

The answer is 9.1

To round to 2 significant figures, we have to find the first significant figure. We find the first sig fig by looking for the first nonzero digit in the number (it can be before or after the decimal point), which is "9"

The next digit is "0". This will also be a significant figure in our answer.

It may seem we are done now since we found the two significant figures. However, let's look at the digit after "0" to see if we need to round up or down.

The digit after "0" is "7". Since 7 is greater than 5, we round up the "0" to a "1" in our final answer, making the answer 9.1

Side note:

The definition and concept of significant figures can be very confusing overall, so please continue to ask questions if you are still struggling with them.

Let me know if you need any clarifications, thanks!

~ Padoru

A number 9.0758 to 2 significant figures is, 9.1

We have to give that,

A number is,

⇒ 9.0758

Since There are 5 significant numbers.

Hence, A number 9.0758 to 2 significant figures is,

⇒ 9.0758

Since 7 is greater than 5.

Hence,

9.0758 ≈ 9.1

So, The solution is, 9.1

To learn more about rounding number visit:

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WHICH SENTENCE IDENTIFIES THE Y INTERCEPT AND ORDERED PAIR OF THE POINT ON THE GRAPH

Answers

C

The line intercepts the y axis at 2, so that is the y intercept.

The ordered pair is (1,3) because ordered pairs go (x,y)

between the time Iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14 °. Write an addition expression for the temperature relative to when Iko woke up.

Answers

Answer:

x + (11) + (-14)  [x being temperature when Iko woke up]

Step-by-step explanation:

Let the temperature be "x" when Iko woke up

Then,

Temperature ROSE 11° in lunch

The temp in lunch was:  x + 11

Then the temperature DROPPED 14° when he went to bed, relative to lunch temperature, so we can say:

(x + 11) - 14

So, the final temperature that end of day was:

x + 11 - 14

As addition expression, it will be:

x + (11) + (-14)

How do I find side length x and would I use sin cos or tan

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

There are 27 girls and 36 boys who want to participate in a math competition. If each team must have the same ratio of girls and boys what’s the greatest number of teams that can enter?

Answers

Since the ratio of girls and boys must be the same in each team, and all the competitors must be involved, it means that each team's ratio of boys : girls must be equal to the total ratio of Boys : Girls = 36 :27= 4 / 3.

Now 4 / 3, the most simplified version of 36 / 27, happens by dividing the numerator & demoninator by 9 (the greatest number it can divide by). So the greatest number will be 9 teams, each of  4 Boys & 3 Girls

Answer:

4 Boys & 3 Girls

Step-by-step explanation:

Use rounding to estimate the product.

8.24 × 5.88

40
45
48
85

Answers

The answer would be 48. I hope that helped

Answer:

Its 48.4512 and rounded it is 48 :)

Which statement show equivalent expressions? PLEASE HELP ME ASAP
A 5(x−2)=5x−3
B 3(x+6)+x=4x+9
C 8(2x+3)=16x+24
D 4(5x+2)−6=20x+14

Answers

Answer:

c.

Step-by-step explanation:

8(2x+3) = 16x + 24

8(2x) + 8(3) = 16x + 24

Answer:

C)

Step-by-step explanation:

C) 8(2x+3)=8*2x+8*3=16x+24 true

Look at the image used by the author of "Heads Up on
Sports Safety
Look at the image used by the author of "Heads Up on
Sports Safety
The author most likely included this image from an outside
resource to show how

stadiums have changed.

photographic technology has changed.

football uniforms have changed.

football strategies have changed.

Answers

The author most likely included this image to show how football uniforms have changed.

Why the image is added?

The thesis of "Heads Up on Sports Safety" is, as the name implies, sports safety.

The image shows some kids, all of them with their correspondent football equipment (protective equipment).

So, what is being presented in the image, is in some way how the "football uniforms have changed." In a way in which the safety of the players is a priority.

So that is the correct option.

If you want to learn more about sports, you can read:

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You are riding your bicycle. It takes you 9min to go 2.5 mi. If you continue traveling at the same rate, how long will it take you to go 7 mi?

Answers

Answer:

Step-by-step explanation:

To find out how many miles you are going per minute you would find the unit rate. The unit rate is 3.6

You are going at 3.6 minutes per mile.

So you would multiply 3.6 by 7 to get 25.2 minutes.

The answer to the question

Answers

Answer:

Step-by-step explanation:

NIPO

what’s the relationship? linear, exponential, or neither?

Answers

Answer:

This relationship is linear

Step-by-step explanation:

As x goes up by 5, y goes up 3. Since this is a constant rate, this relationship is, therefore, linear

Sales tax in Pennsylvania is 6%. Carlos bought a mountain bike that costs $125.50 before tax. What was the cost of the new bike including sales tax?

Answers

I’m pretty sure the answer is 113.03

Answer:

$878.50

Step-by-step explanation:

it's asking about new bike  cost including sales tax.

1. Find the x-intercept of the line: 5x - y = 10

2. Find the y-intercept of the line: 9x + 3y = -18

3. What are the x- and y- intercepts of the graph of 6x - 4y = -12

Answers

Final answer:

The x-intercept of the line 5x - y = 10 is (2, 0), the y-intercept of the line 9x + 3y = -18 is (0, -6), and the equation 6x - 4y = -12 has an x-intercept at (-2, 0) and a y-intercept at (0, 3).

Explanation:

To find the x-intercept of a line, we set the value of y to zero and solve for x. For the equation 5x - y = 10, we set y to 0:

5x - (0) = 10

5x = 10

x = 2

The x-intercept is therefore the point (2, 0).

To find the y-intercept of a line, we set the value of x to zero and solve for y. For the equation 9x + 3y = -18, we set x to 0:

(0) + 3y = -18

3y = -18

y = -6

The y-intercept is therefore the point (0, -6).

For the equation 6x - 4y = -12, the x-intercept and y-intercept can be found similarly. Let's start with the x-intercept. Set y to 0:

6x - (0) = -12

6x = -12

x = -2

The x-intercept is the point (-2, 0). Now, for the y-intercept, we set x to 0:

(0) - 4y = -12

-4y = -12

y = 3

The y-intercept is the point (0, 3). Thus, for 6x - 4y = -12, the intercepts are x = -2 and y = 3.

There are 5,280 feet in one mile. How many feet are in 6 miles?

Answers

Answer:

31,680 feet

Step-by-step explanation

5280*6

Answer: 31, 680 feet

Step-by-step explanation:

If 5280 feet = 1mile

x = 6 miles

Step 1: cross multiply the equation to the the value of x

x= 5280 × 6

=31,680 feet

What is 40% of 35 I NEEEED TO NOOOO

Answers

Answer:

14

Step-by-step explanation:

%40 * 35 is same as 0.4 * 35

14

Answer:  14

Answer:

14

Step-by-step explanation:

What is the angle of a triangle if one angle is 68 and the other is 52

Answers

Answer:

The last angle is 60 degrees

Step-by-step explanation:

All triangles add up to 180 degrees

Step 1:  Make an equation

What is the angle of a triangle if one angle is 68 and the other is 52.

68 + 52 + x = 180

Step 2:  Combine like terms

68 + 52 + x = 180

120 + x = 180

Step 3:  Subtract 120 from both sides

120 + x - 120 = 180 - 120

x = 60

Answer:  The last angle is 60 degrees

The sum of the angles in a triangle will be equal to 180°.

68 + 52 = 120°

180 - 120 = 60° (This is the 3rd angle)

Best of Luck!

If I have 30 vegetables and 2 of the vegetables are beans. What percentage of vegetables are beans​

Answers

Answer:

6%

Step-by-step explanation:

.02 times 30

.6=6%

I believe it would be 6%

Since there are 2 beans, you divide by 100, so you get 0.02

Then, to find the percentage, you take the 0.02 and multiply it with 30.

And your answer should be 0.06, which is 6%, found by doing 0.02 • 30.

I hope this helps :)

Which expressions are equivalent to
2 In a + 2 In b - In a?
Check all that apply.

Answers

Answer:

ln ab^2

ln a + 2 ln b

ln a^2 + ln b^2 - ln a.

Step-by-step explanation:

2 ln a + 2 ln b - ln a

= ln a^2 + ln b^2 - ln a

= ln (a^2/a) + ln b^2

= ln a + 2 ln b

= ln a + ln b^2

= ln ab^2.

Yo sup??

2lna+2lnb-lna

=lna²+lnb²-lna

=lna²b²/a

=lnab²

correct answer is option E

Hope this helps

Which is true about the degree of the sum and difference of the polynomials 3xy - 2xy4 - 7xy and -8xy + 2x°y4 + xy?
O Both the sum and difference have a degree of 6.
O Both the sum and difference have a degree of 7.
The sum has a degree of 6, but the difference has a degree of 7.
The sum has a degree of 7, but the difference has a degree of 6.

Answers

Answer:

It's C I just did it

Step-by-step explanation:

The degree of the sum and difference of the polynomials are 6 and 7 respectively.

The degree of the sum and difference of the polynomials.

3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³

The degree of sum = monomial with the highest power = 5 + 1 = 6

The degree of difference = monomial with the highest power = 3 + 4 = 7

Therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.

To get more about polynomials refer to:

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Determine the area of the composite figure to the nearest whole number.
A) 563 in2
B) 680 in2
C) 776 in2
D) 1,030 in2
And I want an explanation

Answers

The answer is c which is correct

Answer:

B

Step-by-step explanation:

Let’s review our area formulas first:

Area of rectangle: l*w

Area of quarter circle:(pi*r^2)/4

Area of triangle:(b*h)/2

What we need to do is find the areas of these individual figures and add them up to find the area of the total figure WHEn CALCUlATING AReA Be SURE TO OnLY LOOK AT THE OnE figure and ignore all other shapes!

So

Rectangle=11.1(length)*21.1(width)

Rectangle=234.21

Quarter circle=(pi*(21.1)^2)/4

Quarter circle= 349.667116326

Triangle:(9.1*21.1)/2

Triangle=96.005

So

96.005+234.21+ 349.667116326=679.8821(round up to 680)

Hope this helps!

The circumference of a circular frisbee is 20 centimeters. If
we multiply the radius of the frisbee by 5, what will be the
circumference of the new frisbee?
OA) 981 cm
OB) 100 cm
OC) 1451 cm
OD 2007 cm

Answers

Answer:

100cm

Step-by-step explanation:

since the circumference is 20cm and formula for finding a circumference of a circle is c=2(pi)r, where r is radius and pi is constant value which is equivalent to 22/7. so the radius of 20cm circumference is 3.1847 by using this eqn c/2(pi)=r. now the calculated radius will b multiply by 5 to get 15.92cm which is put in cirumference formula i.e. c=2(pi)r we get 100cm circumference.

Find the distance from the point (3,2) to the line 2y + 3x = 5. Round your answer to the nearest tenth.

Answers

Answer:

  (8/13)√13 ≈ 2.2

Step-by-step explanation:

The distance from point (x, y) to line ax+by=c can be found using the formula ...

  d = |ax +by -c|/√(a²+b²)

Filling in the given values, we find the distance to be

  d = |3·3 +2·2 -5|/√(3² +2²) = 8/√13

  d = (8√13)/13 ≈ 2.2 . . . . . after rationalizing the denominator

how to solve
Y+2=4
Y-2=8

Answers

Answer:

First question -> y = 2

Second question -> y = 10

Step-by-step explanation:

Step 1:  Solve y + 2 = 4

Subtract 2 from both sides

y + 2 - 2 = 4 - 2

y = 2

Step 2:  Solve y - 2 = 8

Add 2 to both sides

y - 2 + 2 = 8 + 2

y = 10

Answer:  First question -> y = 2

               Second question -> y = 10

a pair of running shoes costs $37 less than twice the cost of a pair of basketball sneakers. The sneakers cost $48.50. How much do the running shoes cost?

Answers

Answer:

11.5

Step-by-step explanation:

Sneakers = 48.50

Expression for cost of running shoes = 2(sneakers) - 37

Plug in value of sneakers and solve:

2(48.50) - 37

97 - 37

$60

The running shoes cost $60.

Hope this helps!! :)

Can diagonal of a parallelogram be congruent to one of its sides?

Answers

Answer: Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.

Answer:

is that a yes

???????????????????????????????????????????????????????????????

[]: what is 20056x345

Answers

Answer:

6,919,320

Step-by-step explanation:

20056 * 345

6919320

Answer:  6,919,320

Answer:

6,919,320.00

Step-by-step explanation:

ƒ(x) = -2x + 3?

(-1, ___)

Answers

Answer:

(-1, 5)

Step-by-step explanation:

When f(x) = f(-1)

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

f(-1) = 2 + 3

f(-1) = 5

-1 is x

5 is y

(-1, 5)

Answer:  (-1, 5)

Answer:

(-1,5)

Step-by-step explanation:

x=-1 then

f(-1)=-2*(-1)+3=2+3=5

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