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

A line has a slope of 1 and passes through the point (10, 13). What is its equation in slope-intercept form?

Answers

y-y1=m(x-x1)

y-13=1(x-10)

y-13=x-10

y=x-10+13

y=x+3

Hope this helps!

~Just a joyful teen

#HaveAnAmazingDay

[tex]GraceRosalia :)[/tex]

When we do that that will give us Y. Minus y sub 1 that's the y-coordinate of our point which is 5 equals the slope of 2.

Referring to the Fig. in Question #42, find the unknown
length y.

Answers

Answer:

Step-by-step explanation:

In a 30 60 90 triangle, the length of the hypotenuse is twice the length of the shorter leg and the length of the longer leg is /3 times the length of the shorter leg. The hypotenuse is 50, shorter leg is 25, longer leg is 25/3

Answer:

90

Step-by-step explanation:

60+30=90 and you can also just look at it, it’s a 90 angle

Multiply 3 2/5 • 2 1/3
Answer:
5 2/15
6 2/15
7 2/15
8 2/15

Answers

Answer:

7 2/15 is the answer to your question

Answer:

The Answer is 7 2/15

Meghan's home is on the same straight road as the library and sporting goods store. Meghan marks the location of the library and the location of the sporting goods store on a number line, using her home's location as 0. She marks the library at −3.7 and the sporting goods store at 12.5. What is the distance between the library and the sporting goods store on Meghan's number line? Enter your answer as a decimal in the box.

Answers

Answer:

Step-by-step explanation:

-3.7+12.5=8.8

Answer:

12.5 - (-3.7)

12.5 + 3.7

16.2

Step-by-step explanation:

The distance is 16.2

Please answer this fast

Answers

Answer: a) 1:1

they are even. if it was 1:2 or 2:1 one of them on the graph would be taller but that are both at the same number

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The Correct option is :

a.) 1 : 1

Refer to attachment for solution ~

Help me i´ll mark 15 points you dont have to do work just answer :P

Answers

Answer:

I'm pretty sure it is 11.74 in ^2

Step-by-step explanation:

Im sorry if I'm wrong

11.74 im pretty sure this is the answer i remember doing thia

help.... I gotta turn in 28 minutes

Answers

Answer:

ask your teacher for help

Step-by-step explanation:

Apple bottom jeansss

No false answers, get it right, you get brainliest and all that stu*pid stuff like that, just help me, it's the last question!

Answers

Answer: 26361360000 but in other words it’s c the 3rd one

Step-by-step explanation: 410 x all the other stuff = my answer

Answer:

About 300,000 square miles

Step-by-step explanation:

If you do 410 x 760 (one side times the other is how you find area) you get 3111,000 and there is some area that's not there because the indented side, so it is roughly 300,000 square miles

Hope this helped!!

An elephant at the zoo lost 24 pounds over 6 months.The elephant lost the same amount of weight each month.Write an integer that represents the change in the elephant's weight each month.

Answers

48 is the answer you are looking for

Answer:

He loses 4 pounds which is (-4)

Why?

Because it says that the elephant lost 24 pounds in 6 months which will represent (-24). Then (-24)/6 = (-4)

Therefore, he takes (-4) pounds in his weight each month.

Hope this helps!

Mark me as brainliest if you find this answer useful too!

Drag the expressions to order them from top to bottom from least to greatest

Answers

Answer: -9, -10 4/9, -10 5/9, -10 8/9, 10 7/9

Step-by-step explanation:

When it comes to negatives I think the smaller the greater. So I arranged them of what is closer to zero, expect the first one because it is positive.

Answer: 9, -10 4/9, -10 5/9, -10 8/9, 10 7/9

Step-by-step explanation:

The graph shows the cost of buying tickets to a concert.

PLEASE DO STEP 3: c. What is the cost of buying 10 tickets?
The cost of buying 10 tickets is_$

Answers

Answer:

305

Step-by-step explanation:

if the unit rate is $30.5 then thats how much it cost per 1 ticket.

To get 10 tickets we have to do x10

30.5 x 10 = 305

Answer:

305

Step-by-step explanation:

It’s obvious isn’t it?

Easy question and it's a warm up question. Noah has to do 8 homework and he did 7 homework. How many homework left does noah have to do? Explain how you got the answer.

Answers

Answer:

1

Step-by-step explanation:

(H - Homework)

H = 8

H = 8 - 7

H = 1

Answer:

1 assignment left

Step-by-step explanation:

......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

Find 2 fractions that are equivalent to 2/5=6/15

Answers

Answer:

4/10 and 12/30 are both answers

Answer: 10/25 & 20/50

Step-by-step explanation: 2/5 x 5 for the first one, 2/5 x 10 for the second


What fraction is represented in the picture below?



A.
B.
C.
D.


Pls help quick

Answers

Answer:

C

Step-by-step explanation:

Each of the circles are cut into 1/4 pieces. when we have 9 1/4 pieces, our fraction is 9/4, which simplifies into 2 1/4.

-8(0.09)(-0.5)=___? Plz help

Answers

Answer:

0.36

Step-by-step explanation:

its called a calculator

Answer:

-8(0.09)(-0.5) = 0.36

Step-by-step explanation:

-8(0.09)(-0.5)

-0.72(-0.5)

0.36

Sammie purchased a soccer ball for $12.99 . Her total was . $14.17
Sammie paid $
in sales tax.

Answers

Answer:

the sales tax is $1.18

Step-by-step explanation:

The sale taxes $1.08

For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.

STEP 2: The values are .

Answers

Answer:

Draw a rectangle.. write 13 on the two longer sides of the rectangle then write 7 on the other two shorter ones. Then add them all up and there you go your answer!

Our equation would be 13 +  13 + 7 + 7 = 40 inches

Step-by-step explanation:

The values of r for which the shaded region will be greater than or equal to 12 square units is;

r ≥ 8

We can see a rectangle and a triangle in the given image.

With the triangle being the unshaded portion of the rectangle.

Thus;

Area of shaded portion = Area of rectangle - area of rectangle.

We know that formula for area of rectangle is;

A_r = length × width

Thus; A_r = 3 × r

A_r = 3r

Area of a triangle is;

A_t = ½ × base × height

A_t = ½ × r × 3

A_t = ½(3r)

Thus;

Area of shaded portion = 3r - ½(3r)

Area of unshaded portion = 1.5r

We are told that the area of the unshaded region should be greater than or equal to 12. Thus;

1.5r ≥ 12

r ≥ 12/1.5

r ≥ 8

Read more about area of rectangle and triangle at; https://brainly.com/question/24251781

USE THE STEPS BELOW TO ANSWER QUESTIONS 1-2.

Step 1: 3/4 (12x + 20y)

Step 2: 9x + 15y

Step 3: 3(3x + 5y)

Step 4: 3(5y + 3x)


1.Which property below is used between Steps 1 and 2 ?

A. Associative property

B. Commutative property

C. Distributive property

D. Identity property


2.Which property below is used between Steps 3 and 4 ?

A. Associative property

B. Commutative property

C. Identity property

D. Inverse property

Answers

Answer:

1.) Distributive Property

2.) Associative Property

Step-by-step explanation:

Please leave ”thanks” heart if I helped

Distributive and commutative

A water dispenser has a capacity of 10,000 milliliters. What is its capacity in liters?
Be sure to include the correct unit in your answer.

Answers

Answer:

10 liters

Step-by-step explanation:

10 liters.
1 liter is equivalent to 1000 milliliters
So, 1 x 10= 10 x 1000= milliliters

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

PLEASE ANSWER FOR 20 PTS

Answers

Answer:

11.26/99 12.yy x x is 77/60 13.y yyyy xxx

Answer: this is only 8 points

I need help whats 3 4/15 divided by (8*6 3/10) please give me a good answer

Answers

Answer:

7/108 or .006481

Step-by-step explanation:

The answer is 7/108
Plz make me brainliest plz

PLEASE SCREENSHOT AND MARKUP FOR 40 POINTS

Answers

Answer:

That seems hard sorry i couldn't help

Step-by-step explanation:

Answer:

wanna be friendz and can i have brainliest please

Step-by-step explanation:

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

Referring to the figure, find the unknown
length x.

Answers

The unknown length is 4

What's the product of -2 1/4 and 2 1/2

Answers

Answer:

Multpliication

Step-by-step explanation:

the answer is -5.625

-5the answer is —5.625

Round this number to the nearest hundredth.

78.387869

Answers

The answer is 78.39!

:))

Answer:

78.39

Step-by-step explanation:

after the point .38 eight goes up

4 or less keep the same 5 or more goes up

You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299.


STEP 2: Solve the inequality.
The solution is .

Answers

Answer:  9.20p [tex]\geq[/tex] 299

           The solution is p [tex]\geq[/tex] 32.5

Step-by-step explanation:

First, you need to get the variable by itself. To do that you do the opposite of multiplication, which is division. 9.20p divided by 9.20 is just p.

Second, whatever you do to one side you have to do to the other, so you divide 299 by 9.20 to get 32.5.

I hope this helped!

answer:

The solution is p  32.5

hope this helped you

have a nice day

14x34
pleaswe :)
.....

Answers

442 is the answer to the question you asked
476. Hope this helps!
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