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.

Answer:

b

Step-by-step explanation:

i had this on a test

a) Between the two times, Time A and Time B, 12 minutes passed (total time).

b) During this time, Josh drove his car for 10.8 miles (total distance).

c) This means that Josh was driving at an average rate (speed) of 0.9 miles per minute.

The average driving rate refers to the speed at which Josh was driving his car.

The average rate is the quotient between the total distance covered and the total time taken to cover the distance.

The distance, time, and speed formula are Distance = Time x Speed.  

Therefore, Speed = Distance/Time.

Reading on odometer at 9:53 = 52,604.1

Reading on odometer at 10:05 = 52.614.9

Distance covered = 10.8 miles (52.614.9 - 52.604.1)

Difference in time = 12 minutes (10:05 - 9:53)

Average speed = 0.9 miles per minute (10.8/12)

Learn more about the average rate at https://brainly.com/question/24313700.

#SPJ1

Answer:

Here is the math to illustrate better:

57/1 = 57 and 34/1 = 34

Thus, 57:34 ratio simplified is 57:34

Step-by-step explanation:

Answer:

57:34

Step-by-step explanation:

Answer:

the whole cake

Step-by-step explanation:

hope this helped.

have a nice day

Answer:

10 liters

Step-by-step explanation:

Answer: The expanded form isn't required. Just make sure that it's possible to send the variable you are solving for to one side, and then solve.

Step-by-step explanation:

combine like terms:

3y-y = 7-3

2y = 4

y = 2

Answer:

a)he payed $0.50 per pound or rice

b)6.13lbs/pounds of seed per acre

ROUND TO NEAREST 100TH means that 6.125 would be 6.13

Step-by-step explanation:

a: $10/20=answer

b: 49lbs/8=answer

Answer:

A) He paid $0.50 per pound of rice

B) 6 1/8 or 6.125 lbs/pounds of seed per acre

(You have to round to the nearest hundredth)

Step-by-step explanation:

A) $10/20

B) 49lbs/8

Answer : 274

Step-by-step explanation : I just searched  it and got images for what is would look like.

Answer:

1. Slope = -3.000/2.000 = -1.500

2.  x-intercept = 0/3 = 0.00000

3. y-intercept = 0/2 = 0.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*y-(-3*x)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   2y+3x  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2y+3x  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 0/2 so this line "cuts" the y axis at y= 0.00000

 y-intercept = 0/2  =  0.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 0/3 Our line therefore "cuts" the x axis at x= 0.00000

 x-intercept = 0/3  =  0.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - -0.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -3.000/2.000 = -1.500  

Geometric figure: Straight Line

 Slope = -3.000/2.000 = -1.500

 x-intercept = 0/3 = 0.00000

 y-intercept = 0/2 = 0.00000

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.

Answer:

ask your teacher for help

Step-by-step explanation:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles and are equal.

all angles are 75

Answer:

1. Alternate exterior

2.

1=75

2=105

3=105

4=75

6=105

7=105

8=75

3. 164.4

4. 52 and 78

Step-by-step explanation:

Answer:

last answer (4th )

Step-by-step explanation:

Answer:

6x ≥ 4

Step-by-step explanation:

Answer:

I'm here for that the guy who has answer this is correct

Step-by-step explanation:

I had the same answer in got it right

It is C. Because it helps us organize our data on what the question is asking.

Answer:

with what?

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Answer:

Red

Step-by-step explanation:

RED:

$27.09 / 7 = $3.87

GREEN:

$14.96 / 4 = $3.74

$3.87 > $3.74

Answer:

1125 per year

Step-by-step explanation:

First I did 3500 - 125 = 3375

Then I divided 3375 by 3 (for the amount of years)

The answer I got was 1125.

So your final answer is 1125 per year

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

Number one will be 11 minutes

Number two will be 525 words

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: 4 divided by 385 = 96 R1

so it will be 96 minutes

B: 2 minutes

Answer:

12

Step-by-step explanation:

Let's look at the following exponent rule below:

[tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]

We can apply this rule to the problem given to help us find the final answer by taking each exponent and subtracting them. Let's illustrate this below:

[tex]\frac{12^{-4} }{12^{-5} } =12x^{-4-(-5)}[/tex][tex]=12^{-4+5} =12^{1} =12[/tex]

Hopefully this was helpful! Let me know if you have any more questions.

Answer:

you'll need 32 cups!

Step-by-step explanation:

Answer:

0.05, 0.125, 0.4, 0.62, 1.05

Step-by-step explanation: