A truck driver averages 45 miles per hour while delivering freight and 60 miles per hour on the return
trip. The total drive time is 7 hours. How long does each trip take?

pls send help a girl is struggling

Answers

Answer 1

Answer:

Delivery Trip: 3 hours

Return Trip: 4 hours

Step-by-step explanation:

d/60 + d/45 = 7

45d/2700 + 60d/2700 = 7

105d/2700 = 7

105d = 18900

d = 180

180/60 = 3

180/45 = 4

Answer 2

Answer:

delivering 180/45 = 4 hours and return trip 180/60 = 3 hours

Step-by-step explanation:

d = unknown number to calculate each trip

[tex]\frac{d}{45}[/tex] + [tex]\frac{d}{60}[/tex] = 7

find common denominator (45 * 60 = 2700)

([tex]\frac{60}{60}[/tex])*([tex]\frac{d}{45}[/tex]) +( [tex]\frac{45}{45}[/tex])*([tex]\frac{d}{60}[/tex]) =7

[tex]\frac{60d}{2700}[/tex] + [tex]\frac{45d}{2700}[/tex] =7

[tex]\frac{60d + 45d}{2700}[/tex] =7

[tex]\frac{105d}{2700}[/tex] = 7

105d = 7 * 2700

105d = 18,900

d = 18900/105

d = 180

delivering 180/45 = 4 hours

return trip 180/60 = 3 hours


Related Questions

WILL GIVE BRAINIEST
50 POINTS!!
i am timed

What is the scale factor of this dilation?

Answers

Answer:

The scale factor of this dilation is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The length of AC is 8, which is given. Since AC' is the dilated side that corresponds to AC, and the length is 4, that means the scale factor of dilation from ABC to AB'C' is [tex]\frac{4}{8}[/tex] or [tex]\frac{1}{2}[/tex].

Which animal can run faster?

Answers

Answer:

i think A

Step-by-step explanation:

There were 8 judges at a gymnastics competition. Kathleen received these scores for her performance on the uneven parallel bars.

8.9, 8.7, 8.9, 9.2, 8.8, 8.2, 8.9, 8.8

a. Find the mean, median, and mode.

b. Which statistic reflects a typical score? Explain.

Answers

Answer:

below

Step-by-step explanation:

mean : 8.8

The mean is the average, so you find it by adding all the numbers together and dividing by n, or how many numbers there are. For this, I added to get 70.4 and divided that by 8 (8 total scores).

70.4/8 = 8.8.

median : 8.85

The median is the middle of the data set, so you put the numbers in increasing order (lowest number to highest number) and then finding the middle of that set. For this set, since there is an even number of numbers (8), you have to find the middle by adding the two middle numbers and dividing by 2.

8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2

The middle numbers are 8.8 and 8.9, so you add those together and divide by 2 to get 8.85.  

mode : 8.9

The mode is just what number appears most often. Because 8.9 appears three times in this data set, more than any other number, the mode is 8.9.

b. The mean reflects a typical score because it is the average, and is used most often when someone is expressing a typical or "average" score. It is the score most people are likely to get, and as there are no outliers in this data set, it reflects a typical score for this data set. It is also the same as the mode, or most often score, in this data set.

1) Put the numbers in order

      8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2

2) mean is average

     70.4/8 = 8.8

3) Median is the middle number; if m = 2, then divide them by 2

     17.7/2 = 8.85

4) Mode is most often

     8.9 (3 times)

in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the year when the population will be 8 billion people

Answers

Answer:

2011

Step-by-step explanation:

Here is the formula.

[tex]A=P(1+r)^{n}[/tex]

A = Final Value

P = Starting Value

R = Rate

N = Time in Years

A = 8,000,000,000

P = 5,400,000,000

R = 0.0195

N = Time in Years

Solve for n.

20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.

yooooo can like someone please help me !

Answers

Answer:

Step-by-step explanation:(3,-1)

Answer:

(3,0) and (-1,0)

Step-by-step explanation:

just find the points on the graph

ite and Identity Statistical tions Select from the drop-down menu to create a statistical question Dan could ask his friends in a survey.
What is Choose... Choose George's favorite food?
the color of a lemon?
the capital of Spain?
your favorite food? ​

Answers

What is your favorite food is the most appropriate statistical question.

What is a statistical question?

This refers to a question that leads to different answers. These answers can be collected and analyzed based on statistics to determine the preferences or habits of people.

What is the ideal statistical question?

From the options, the best statistical question is: What is your favorite food?. The reasons are:

This question leads to different answers; on the opposite, questions such as "What is the capital of Spain" are likely to be answered in the same way.The answers can be collected and analyzed. For example, you can analyze how many people like hamburgers or how many people have the same favorite food.

Learn more about statistical question in: https://brainly.com/question/21508412

Answer:

favorite food

Step-by-step explanation:

i took the k12 test

What is the value of y?

A.
16

B.
48

C.
64

D.
132

Answers

Answer:

3x+3x+7x+20+7x+20=360

20x=360-20

20x=320

x=16

therefore x=16 so,

7x+20+y=180

but x=16

7(16)+20+y=180

y=180-132

y=48

-1/3(5x+12)-3
show work.

Answers

Answer:

-5/3x-7

Step-by-step explanation:

I will say -5/3x-4

i totally forgot the -3

my bad but -3 with -4 and it would be -7

my 2nd guess is -5/3x-7

Understanding Exponents - Item 30692
Drag each expression to show if it is equivalent to 36,63,6 x 3, or none.
3 + 6
6 + 6 + 6
6 x 6 x 6
3 + 3 + 3 + 3 + 3 + 3
3 X 3 X 3
3 X 3 X 3 X 3 X 3 X 3
36
6
6 x 3
None

Answers

None
6 x 3
6^3
6 x 3
None
3^6

Answer:

none

Step-by-step explanation:

If an object has two forces acting on it, and the object is moving with constant velocity, what can be said about these forces? Select all that apply. One of the forces is larger than the other.One of the forces is larger than the other. , , The forces have opposite directions.The forces have opposite directions. , , The forces have the same direction.The forces have the same direction. , , The forces have equal magnitudes.The forces have equal magnitudes. , ,

Answers

Answers:

The forces have opposite directions

The forces have equal magnitudes

=====================================================

Explanation:

Imagine a bucket of water being held up by a rope.

Gravity pulls down on the bucket with a constant force. The reason why the bucket doesn't fall to the ground is because the tension in the rope is holding it up.

More specifically, the force of the rope's tension is exactly matching the force of gravity. So we have equal magnitudes here. However, the force vectors point in complete opposite directions. Gravity points down and the tension of the rope points up. The two opposite directions cancel out to create balance and that's why the object doesn't move. It has velocity = 0 which is considered a constant velocity even though it's not something like 3 m/s.

If the forces acted in the same direction, then the magnitudes would add up to accelerate the object (either downward or upward). However, the bucket stays fixed in place, so it's clear that the vectors must be opposite in nature.

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

Now consider a skydiver. At some point of the descent, the skydiver will hit terminal velocity. This is the fastest s/he can fall because the force of gravity pulling down counterbalances perfectly with the upward force of wind/air resistance pushing upward. The air is resisting the downward motion being a form of friction. In this case, the magnitude of the gravitational force is the same as the magnitude of the upward air resistance.

Unlike the bucket of water, the skydiver is of course moving. They are moving at a constant velocity since they cannot accelerate any faster. Hence the name "terminal" meaning "the final or ending velocity". It is when the parachute is deployed that will apply a much greater upward force, which then slows down the downward velocity to allow the skydiver to safely land.

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

In both examples, we have a constant velocity happening when the vectors pull in equal amounts but in opposite directions. Think of it like a tug-of-war to keep everything balance. If there is an imbalance of any kind, then acceleration will happen.

(6 +4) x 8 =
find the answer

Answers

You do the brackets first (6+4) which is 10 and so you do 10 x 8 which is 80

How big is the universe

Answers

Answer:

The universe has... No volume, No size, and no weight it's infinite in every way. something we humans sadly will never uncover.

Step-by-step explanation:

Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group. Her tips averaged 18% of the total amount spent by all the groups of customers that day. What were Brianna's tip income earnings that day?

Answers

Given :

Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.

Her tips averaged 18% of the total amount spent by all the groups of customers that day.

To Find :

Brianna's tip income earnings on Friday.

Solution :

Total amount of money spent by 12 groups :

P = $ 12×186 = $2232 .

She got tip of 18% of the total amount spent by all the groups of customers.

[tex]T = P\times \dfrac{20}{100}\\\\T= 2232\times \dfrac{20}{100}\\\\T=\$446.4[/tex]

Brianna's tip income earnings on Friday is $446.4 .

Hence, this is the required solution.

what number produces an irrational number when added to 1/3

Answers

2
That is the correct answer

solve for x using the Pythagorean Theorem.

Answers

17 is the answer did the math:)

Given triangle ABC in which angle B = 47 degrees, angle C = 65 degrees and c = 12.4cm, determine the length of b.

Answers

Answer:

Step-by-step explanation:

Which triangles are similar?
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles B and C
D. Triangles A and B

Answers

Answer:

See below.

Step-by-step explanation:

They are all similar.

-hope it helps

3.A city of 100,000 is having pollution problems and is decreasing in size 4% annually (every
year). Find the population of this city in 16 years.

Answers

Answer:

64,000

Step-by-step explanation:

4x100,000/100=4,000

4,000x16=64,000

Question 2: Look at the students work and solution to the problem. Identify the error that is made and describe it. Solve the problem correctly. Incorrect work/solution Simplify the expression: 7k + 14 - 9k - 10 = 16k + 4 Identify and Explain the error

Answers

Answer:

-2k + 4

Step-by-step explanation:

Given:

Incorrect work / solution

7k + 14 - 9k - 10 = 16k + 4

Error is the simplification of the like terms, that is, 7k - 9k

Correct work / solution

7k + 14 - 9k - 10

Collect like terms

= 7k - 9k + 14 - 10

= -2k + 4

The error made was adding 7k and 9k together, instead of subtracting 9k from 7k which gives -2k as answer

Greatest to least 9,354 , 9,012 , 9,1 , 9,157

Answers

Answer:

9,354,9,157,9,012,9,1

Step-by-step explanation:

First I do thousands place so 3 numbers have 9 for thousands place.

Numbers are

9,354

9,157

9,012

it cant be 9,012 because this number don't have a hundreds place.

But in hundred place 9,354 would be better than 9,157 because 9,354 had 300 while 9,157 only has 100.

So greatest=9,354

Second greatest=9,157

And last 9,000 number third greatest=9,012.

Our last numbers don't have hundreds or thousands,they have ones but 9 is greater than 1 because...

Say you had 9 pizzas and your friend had 1 you would have more or a greater amount so.

Least=1

and second least=9

Meaning order=

9,356=greatest

9,157

9,012

9

1=least

Hope it helps have a great day:)

A garden table and a bench cost $659 combined. The garden costs $91 less than the bench. What is the cost of the bench?

Answers

Let b = x and g = (x + 91). We can set up this equation as: x + (x + 91) = 659. This gives us x = 284.

1) Find AB
round answer to the nearest tenth

Answers

Answer: 23.6

Step-by-step explanation:

What are the four main types of graphs and when would they be most appropriate to use?

Answers

Answer:

The four main types of graphs are line graphs, bar charts, pie charts, and histograms. They all can be used for many things

3. 40% of x is 35. Write an equation. Then use your equation to find x.​

Answers

Answer: x =  87.5

................

Answer:

87.5

Step-by-step explanation:

40% of x = 35 , that is

[tex]\frac{40}{100}[/tex] x = 35

0.4x = 35 ( divide both sides by 0.4 )

x = [tex]\frac{35}{0.4}[/tex] = 87.5

Can you guys pls help me with this

Answers

Answer:

the answer is c

Step-by-step explanation:

not enough information

Answer:

Step-by-step explanation:

İt is SSS

Because

∡FBG=∡FBC

∡BFC=∡BFG

=> ∡BCF=∡BGF => SSS

For each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.

1. 5 and 17
2. -4 and 6
3. -0.5 and 0.5

Please hurry!!
Will award 30 points!!

Answers

Answer:

b) |y-11|=6

c) |z-1|=5

d) |a-0|=1/2

Step-by-step explanation:

This definetly works!

The absolute value equations are =

1) |x - 11| = 6

2) |x + 1| = 5

3) |x| = 0.5

1) To satisfy the solution set of 5 and 17 on a number line, we can write an absolute value equation as follows:

|x - 11| = 6

Explanation: The midpoint between 5 and 17 is 11, which serves as the value c in the equation.

The absolute value of x minus 11 should be equal to the distance between the midpoint and either endpoint, which is 6.

2) To satisfy the solution set of -4 and 6 on a number line, we can write an absolute value equation as follows:

|x + 1| = 5

Explanation: The midpoint between -4 and 6 is -1, which is the value c in the equation.

The absolute value of x plus 1 should be equal to the distance between the midpoint and either endpoint, which is 5.

3) To satisfy the solution set of -0.5 and 0.5 on a number line, we can write an absolute value equation as follows:

|x| = 0.5

Explanation: In this case, the midpoint between -0.5 and 0.5 is 0, which is the value c in the equation.

The absolute value of x should be equal to the distance between the midpoint and either endpoint, which is 0.5.

Learn more about number line, click;

https://brainly.com/question/32029748

#SPJ2

1. a number is as much greater than 21 as it is less than 71. find the number
.
2. find 2 consecutive natural number whose sum is 63.​

Answers

1. A number is as much greater than 21 as it is less than 71. Find the number

Solution -

Let the number be x.

x - 21 (number is as much greater than 21)71 - x (it is less than 71)

As both the value of x - 21 and 71 - x is same hence,

=> x - 21 = 71 - x

=> x + x = 71 + 21

=> 2x = 92

=> x = 92/2

=> x = 46

Hence, the number is 46.

2. Find 2 consecutive natural number whose sum is 63.

Let the two consecutive numbers be x and x + 1.

=> x + (x + 1) = 63 (A.T.Q)

=> x + x + 1 = 63

=> 2x = 63 - 1

=> 2x = 62

=> x =62/2

=> x = 31

Hence, the consecutive natural numbers whose sum is 63 are 31 and 32.

Elin’s old fish tank is leaking. Diagram not drawn to scale This old fish tank is in the shape of a cuboid. The base of this tank measures 60cm by 40cm. Before the leak, the height of the water level in Elin’s old fish tank was 45cm. Elin decides to replace her fish tank with a cylindrical one. 70 cm Diagram not drawn to scale 25 cm She selects a new cylindrical fish tank that has a radius of 25cm and a height of 70cm. Will all the original contents, including the water and the fish, fit into this cylindrical tank? You must show all your working.

Answers

Step-by-step explanation:

nnsndnxnxndjenendjdnrjr

When a cannonball is fired, the equation of its pathway can be modeled by h=-16t2 +128t. Find the maximum night of the cannon ball

Answers

Answer:

256

Step-by-step explanation:

When the equation is graphed the highest point is (4,256). So 256 is the maximum height of the cannon ball.

Use the algebra tiles to model x 2. Which statements are true? Select all that apply. The expression cannot be modeled. The variable is modeled by an orange x tile. The variable is modeled by an orange tile. 2 is modeled by 2 orange x tiles. 2 is modeled by 2 orange tiles.

Answers

The statements are true about the algebra tiles to model x + 2 are as  follows;

The variable is modeled by an orange x tile.

+ 2 is modeled by 2 orange + tiles.

What are algerbra tiles?

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x + 2.

The statements are true about the algebra tiles to model x + 2 are as  follows;

The variable is modeled by an orange x tile. + 2 is modeled by 2 orange + tiles.

To know more about algerbra tiles click the link given below.

https://brainly.com/question/81876

Answer:

The variable is modeled by an orange x tile

+ 2 is modeled by 2 orange + tiles

Step-by-step explanation:

Edge 2022

Other Questions
there are many in my house,____(children/childrens)of soldiers visited our academy (an army/a group The total number of plants in a garden is modeled by f(x)=2x212x, where x represents the number of rows in the garden. How many rows are in the garden if it has a total of 110 plants? What is the relative frequency for students who have been to Alaska? What is the relative frequency for students who have been to Hawaii but not Alaska? What is the relative frequency for students who have not been to Alaska or Hawaii?. What was the purpose of the civil service examinations of China? Convert the following into percentage. 2.00 = What color are pavement markings that separate traffic lanes moving in opposite direction?. Is this active or passive??? What happens after condensation in the water cycle? Water cools and forms water droplets in the clouds. Water falls to the ground as rain, sleet, hail, or snow. Water runs across the Earth's surface. Water turns into water vapor. A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard? A. one-time event B. continuous event C. neither has the coordinates given. H (0, 0), I (-3, -1), J (-1, -2) Find the new coordinates after the translation 3 unit to the right and 2 units down. Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym thatcost an additional $8 per class. At the end of January, she paid $43.50 in total. How many yoga classesdid Wanda take in January? Write and solve an equation. 795 times 12 then add 6754 then divided by 7 About what percent of english words can be spelled and read accurately using sound-symbol correspondences alone, without knowing the syllable patterns, meaningful parts, or word origin?. Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form. Paul Revere displayed civic virtue by - *10 pointsEngraving a depiction of the Boston Massacre that would persuade many to fightagainst BritainWarning his fellow colonists in the middle of the night that the Redcoats wereapproachingWriting a petition to King George III stating the colonists grievancesO Taking up arms and fighting against the Redcoats What is the standard unit of measure for pressure? I dont get what Im supposed to do can someone explain? Which best describes the outcome of the siege of Petersburg? Which branch of government makes the laws for North Carolinaa)Executive Branchb) Legislative Branchc) Judicial Branch