Alejandro wrote an equation to fit the following scenario.

A person driving a pick-up truck and another person driving a motorcycle arrange to meet at a park. The pick-up truck driver took twice as long to arrive while driving at an average speed of 45 mph. The motorcyclist drove 55 mph and had a 23 miles less to drive.

Alejandro’s work:
t = number of hours for the pick-up truck driver to complete the trip
Equation: 55 (2 t) minus 23 = 45 (t)

Which statements identify Alejandro’s errors? Select the two correct answers.
He should have added the 23 to the motorcyclist’s distance instead of subtracting to balance the equation.
He should have written 45(2t) for the pick-up truck driver’s distance, since the he took twice as long.
He should have written 55(t) for the motorcyclist’s distance since t = number of hours for the pick-up truck driver to complete the trip.
He should have written 55 (one-half t) for the motorcyclist’s distance since it only took half the time as the pick-up truck driver.
He should have translated the scenario as motorcycle distance + pick-up truck distance = 23 since 23 is the distance mentioned.

Answers

Answer 1

Answer:

Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance.

\[r\cdot t=d\]

For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km.

The problems to be solved here will have a few more steps than described above. So to keep the information in the problem organized, use a table. An example of the basic structure of the table is below:


Related Questions

The volume of a right square pyramid is 7 yd.. If the lengths of the sides of the base are multiplied by 5 and the height does not change, what is the volume of the new pyramid?
A) 25 yd.
B) 35 yd.
C) 125 yd.
D) 175 yd.
Its D
I took the test

The radius of the base of a right circular cone is 7 times greater than the radius of another right circular cone. If the heights of both cones are the same, what is the volume of the larger cone divided by the volume of the smaller cone?
A) 7
B) 14
C) 28 It's D
D) 49

The surface area of a right circular cone is 15π in.. The cone is enlarged by multiplying both the radius of the base and the slant height by 4. What is the surface area of the new cone?
A) 80π in. It's D
B) 120π in.
C) 60π in.
D) 240π in.

A right circular cone has a volume of 25π ft.. If the radius of the cone is doubled but the height remains fixed, what is the volume of the resulting larger cone?
A) 400π ft.
B) 100π ft. It's B
C) 75π ft.
D) 50π ft.
The base of a right circular cone has a radius of 8 cm and a slant height of 12 cm. If the radius and the slant height of the right circular cone are each multiplied by 9, what is the surface area of the new cone divided by the surface area of the original cone?
A) 96
B) 81 It's B
C) 72
D) 18
The lengths of the sides of the base of a right square pyramid and its slant height are doubled. What is the surface area of the larger pyramid divided by the surface area of the smaller pyramid?
A) 16
B) 8
C) 4
D) 2 It's C

A right circular cone has a volume of 30π m. If the height of the cone is multiplied by 6 but the radius remains fixed, which expression represents the resulting volume of the larger cone?
A) 6 + 30π m
B) 6 x 30π m It's B
C) 6 x 30π m
D) 6 x (30π) m

A right square pyramid has a surface area of 80 m. If the lengths of the sides of the base and the slant height of the pyramid are multiplied by 5, what is the surface area of the new cone?
A) 2000 m It's A
B) 1600 m
C) 800 m
D) 400 m

The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid?
A) 3
B) 6
C) 9
D) 12 Don't know but it is not D


The radius of the base of a right circular cone is 4 in., and its slant height is 15 in. If the radius and the slant height are each multiplied by 6, by what factor is the surface area multiplied?
A) 6
B) 9
C) 12
D) 36 it's D

Answers

Answer:


Explanation

D
Hi I believe I know the answer it’s D because I remember doing a test on this .TIANA

polygon QRST has vertices Q41/2 , 2 R 8/2 ,2 S 8 1/2 , -3 1/2 and T 4 1/2,-3 1/2 is polygon qrst a reactangle? justify your anwerer

Answers

Answer:

QRST is a rectangle.

Step-by-step explanation:

To decide whether this is a rectangle or not, we have the following options to choose from:

Prove that:

2 pairs of sides are parallel and one angle is 90°

2 pairs of opposite sides are equal and one angle is 90°

1 pair of sides is parallel and equal and one angle is 90°

All four angles are 90°

The diagonals are equal and bisect each other. (same midpoint)

I will go with option 1, because this only requires finding the slope of each of the 4 lines.

Note that:

points Q and R have the same

y

value

horizontal line

points S and T have the same

y

value

horizontal line

points Q and T have the same

x

value

vertical line

points R and S have the same

x

value

vertical line

Therefore QRST has to be a rectangle because horizontal and vertical lines meet at 90°.

The opposite sides are therefore parallel and equal and the angles are 90°

The anwser is that a....

QRST  is a rectangle

Question in picture



Answer choices

A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook

Answers

Answer A. is correct I’m pretty sure

Tyler buys packs of Pokemon cards. His spending can be represented by the equation C = 0.5p, where C is the cost of his purchase and p is the number of packs he buys.

Create a graph that represents Tyler's spending.

Answers

Answer:

tbh i have no idea but maybe this could help?

Here's a screenshot:

Lisa comprou um carro seminovo e, após ter um desconto de 6%, pagou R$ 2

3.800,80. Qual é o valor do carro antes do desconto?



a) R$ 25.320,00


b) R$ 27.160,00


c) R$ 23.545,00








POR FAVOR AJUDEM

Answers

B.) R$ 27.160,00 would be the answer
C. i hope this helps as

Identify an inequality that represents x (in feet).

Answers

The answer is B because the triangle area is

A store bought a kitchen play set for $34.93 and sold it for $89.25. What was the markup percentage? Round your answer to the nearest tenth.

Answers

Answer:

155.5%

Step-by-step explanation:

Answer:

The markup percentage should be: 155.5%.

Math What is x times y

Answers

it would be x*y or (x*y). hope this helped you !!

The expression is given as xy

How to simply the expression

It is important to note that algebraic expressions are defined as expressions composed of terms, coefficients, variables, constants and factors.

These algebraic expressions are also made up of arithmetic operations, such as;

AdditionMultiplicationDivisionBracketParenthesesSubtraction

From the information given, we have that;

x times y

Then, it is represented mathematically as;

x ×y

Multiply the variables

xy

Note that x and y are the letters representing variables

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ6

im bought 2 packs of batteries from a store. The price of each pack was the same. After he bought the batteries, his account balance showed a change of −$23.94. What would have been the change to Jim's account balance had he only bought 1 pack of batteries from the store?

−$21.94

−$11.97

$11.97

$21.94

Answers

Answer:

b

Step-by-step explanation:

$-23.94 / 2 is -11.97

The answer -$11.97 so be bought $11.97 batteries from the store

Marie is at the store comparing cereal prices. Frosty Flakies cost $3.27 for 32 ounces, and Fruity Rounds cost $2.99 for 24 ounces. Which cereal is a better buy for Marie?

Answers

Answer:

The frostie flakes are $0.02 less per ounce!

Hope it helps!

I need help this is really hard
plz help I'm giving 20 points and a thx

Answers

What is 30 divided 4, and that’s what you’ll get
For number four it’s
96=460
4=20
And
100=500

Mika used division to rewrite 5
40
as 0.125. Explain what she should do next to convert 0.125 to a percent.

Answers

Answer:

Hello there, and thank you for posting your question here on brainly.

To convert a decimal to a percent, you have to make the decimal a whole number by getting rid of the decimal point, and then at a % sign.

0.125 ===> 125

125 ===> 125%

Hope this helped!!

Step-by-step explanation:

Answer:

125 into a percentage. ... That moves the decimal point up two units, and gives you a percentage. For us, −. 125 becomes −12.5% .

Write an equation of the line through the given points:
(2,-4), (0,-3)

Answers

(x,y)——> (x-2,y+1) because 2-2 is 0 and -4 plus 1 is -3
Either y= -7/2x+3 or as a decimal it would be y= -3.5x+3

Squaring a number is multiplying it by itself. Finding a square root is dividing and trying to find the two numbers that will multiply to make your original number. PLEASE ANSWER SOON :(

Answers

This is correct. True.

Beth works at the mall for $12.75 per hour. She works for 4 1/2 hours per day on 2 days each week. How much does she make in 2 weeks? (Before taxes)

Answers

Answer:

so she works 4 days and 4 1/2 hours per day so 18 hours

18x12.75=229.5 she made 229.5 before tax

Step-by-step explanation:

she goes to work 2 days a week so in 2 weeks she goes to work 4 days, she works 4 1/2 hours so 4 days of work equal 18 hours and 18 multiplied by 12.75 is 229.5

Answer:If I am not mistaken it should be $229.5

Step-by-step explanation:I multiplied 12.75*18, I got 18 from the hours added up for 4 days in total.Then the answer came out to be $229.5.               SORRY IF I'M WRONG.

Anna is comparing triangles, and knows that two sides and their included angle are congruent. Which postulate can she use to prove that the triangles are congruent?

Answers

Answer: Triangles are round

The postulate that she can use to prove that the triangles are congruent is SAS

Please help fast! I need it asap

Answers

Answer: so it goes -12-->4-->-5--->-7--->-1-->-9-->-6-->6-->45--->-36 And then your there! make sure you look at which numbers are positive and negative in my answer. your welcome :)

Step-by-step explanation:

Note that:

If you multiply 2 negative numbers, your answer will be positive.

If you multiply 1 negative & 1 positive number, your answer will be negative.

If you multiply 2 positive numbers, your answer will be positive.

Start:

-4 x 3 = -12

-2 x -2 = 4

25/(-5) = -5

(-49)/7 = -7

-5 x (1/5) = -1

(-3)(-3)(-1) = (-3 * -3)(-1) = (9)(-1) = -9

(3/4) x -8 = (3 * -8)/4 = 3 * -2 = -6

-18/-3 = 6

-9 x - 5 = 45

12/(-1/3) = 12 * -3 = -36

Finish.

~

the code will be the sum of all your answers:

-12 + 4 - 5 - 7 - 1 - 9 - 6 + 6 + 45 - 36 = -21

-21 is your code.

~

Halp me please ASAP thank you

Answers

Answer:

4. there are 4 table spoons of lemonade while their are 12 sparkling waters this is a 1:3 ratio or for every 1 table spoon there are 12 sparkling waters

5. there are 4 table spoons while their are 6 sparkling waters, this is a 1:1.5 ratio so when their is 1 table spoon of mix there is also 1.5 bottles of sparkling water

answer

4 tablespoons



explaination

please answer on all questions quick

Answers

Answer:

Step-by-step explanation:

1) a ) 4 + (-6) = -2

  b)   (-4) + 7 = 3

2) 5*6 + 7 = 30 + 7 = 37

   5 + 6 -7 = 11 - 7 = 4

    6 - 5 + 7 = 1 + 7 = 8

The answer is for question is 66

Volleyball Village sells pairs of volleyball kneepads in black and white. Last month, they sold 5 pairs of black kneepads for every 2 pairs of white kneepads. If Volleyball Village sold 225 pairs of black kneepads last month, how many pairs of white kneepads did they sell?

Answers

Its 90 10x9+90 so 5x18=90

47 is 0.5% of what number

Please answer this fast I'll mark you as brainliest. Thank You.

Answers

Answer:

47 is 0.5% of 9,400

Step-by-step explanation:

set up proportion

0.005x= 47

x= 9400

Answer:

47 is 0.5 of 94

Step-by-step explanation:

0.5 x 2 = 1

47 x 2 = 94

no spams no links and no fake answers please answer both of these they are due in a few minutes and I have other work to if you can answer both of them and tell me which answer belongs to what question I promise to give you brainliest

Answers

Answer:

#3. 18

#4. 8

Step-by-step explanation:

72 ÷ 18 = 4

(Highest)

64 ÷ 8 = 8

(24 and 12 don't work BUT 8 does)

And yes... both are correct

Answer:

#3. 18

#4. 8

Step-by-step explanation:

18 is a factor of 18 since 18*1=18

18 is a factor of 72 since 18*4=72

8 is a factor of 24 since 8*3=24

8 is a factor of 64 since 8*8=64

Both factors to each question are the greatest factor that the numbers have in common. I hope I helped! :)

It took a plane 2 hours to fly from Dallas to New York with the headwind and 1.5 hours to return with the tailwind. If the speed of the wind was 30 mph, how far apart are the two cities?

Answers

Answer:

The distance between the two cities is 360 miles.

Step-by-step explanation:

Let a equal the airspeed of the plane in still air; and d be the distance between the two cities. Then:

d/a+30=1.5

d=1.5a+45

and

d/a-30=2

d=2a-60

So

2a-60=1.5a+45

.5a=105

a=210

d/210-30=2

d=360

The distance between the two cities is 360 miles.

please help me quickly!!!!

Select the equivalent expression.

Answers

Answer:

i would say your answer is B.

if it isn´t b then im sorry it was wrong and that meant it was A.

but try B. first

Step-by-step explanation:

if im wrong pls let me know

Answer:

i think it's A and if not its B srry if im wrong

......help please......

Answers

Answer:

54

Step-by-step explanation:

[tex]7^{2} + 2^{2} \\7^{2} = 49\\2^{2} = 4\\49 + 3 = 54\\[/tex]

Answer:

53 is the answer

Step-by-step explanation:

49+4=53

Answer the question below thx

Answers

The second one would be the correct answer

Answer:

We cam get more people to recycle by putting out more bins and teaching people about why recycling matters.

Step-by-step explanation:

Baby Alene slept for 4/5 of an hour in the morning,slept for 1.7 hours at naptime and fell asleep again in the afternoon for another 90 minutes.How much time was Baby Alene asleep? ALSO Please explain how you got the answer.

A.3.8 hours
B.4 hours
C.228 minutes
D.400 minutes

Answers

i think the answer is A!

1x4=xy.39+9=8
i need help

Answers

i will help if you marked me as the brainliest

the sum of measures of two of the angles formed by the intersection of two lines is 50 degrees find the measures of all angles

Answers

Answer:

The angles are 25 degrees, 155 degrees  25 degrees, and 155 degrees.

The vertices of a figure are given. Find the coordinates of the figure after the transformations given.

J(1,1),K(3,4),L(5,1)
Rotate 90° clockwise about the origin. Then dilate with respect to the origin using a scale factor of 3.

Answers

Step-by-step explanation:

J(1, 1), K(3, 4), L(5, 1). Rotate 90° clockwise about the origin. Then dilate with respect to the origin using a scale factor of 3. 26. P(−2, 2), Q( ...

it is 5 because if you multiply BTS+1,1 it’ll be 10 then you divide ,L by 9 and a half and they u should get 5
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