Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.
How far from their destination will they be 3.7 hours since entering the freeway?
How far from their destination were they 2.3 hours since entering the freeway?

Answers

Answer 1

To solve the problem we must know about Speed, distance, and Time.

What are Speed, distance, and Time?

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

Speed = 60 miles an hour

Don noticed that 3 hours into the trip they were 650 miles from the destination.

Distance traveled by them in 3 hours

We know that Don and Ana are traveling at a constant speed and they are traveling for 3 hours.

[tex]\rm Distance= \rm speed \times Time[/tex]

[tex]\rm Distance = 60 \times 3 = 180\rm\ miles[/tex]

Thus, Distance traveled by them in 3 hours is 180 miles.

Total Distance from their destination

We know that Don and Ana are traveling on the freeway for the past 3 hours and they are still 650 miles away, therefore,

Total Distance from their destination

= Distance traveled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Thus, the distance traveled by then is 830 miles.

A.) Distance between them and destination after 3.7 hours since entering the freeway,

Distance traveled by them = speed x 3.7

                                             = 60 x 3.7 = 222 miles

Distance between them and the destination

= Total Distance from their destination - Distance traveled by them

= 830 miles - 222 miles

= 608 miles

Thus, they are 608 miles far from their destination.

B.) Distance between them and destination after 2.3 hours since entering the freeway,

Distance traveled by them = speed x 2.3

                                             = 60 x 2.3 = 138 miles

Distance between them and the destination

= Total Distance from their destination - Distance traveled by them

= 830 miles - 138 miles

= 692 miles

Thus, they are 692 miles far from their destination.

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Related Questions

HELP ME ITS DUE IN 15 MINS

Answers

Answer:

c.

Step-by-step explanation:

continuous and linear.

I need help with this radius and diameter

Answers

Answer:

Step-by-step explanation:

the diameter of this circle is 7.4 km

the radius of this circle is 7.4 km/2=3.7 km

second choice

solution:

d = 7.4 km

r = d/2

= 7.4/2 km

= 3.7 km

Given m \| nm∥n, find the value of x.

Answers

Answer:

x=32

Step-by-step explanation:

If you do 2x-16+4x+4=180, then you should get 32.

The value of x is 32.

Given,

The m line is parallel with the n line.

We need to find the value of x.

What are the relationships between parallel lines and angles?

If two lines are parallel the corresponding angles are congruent.

Example:

                               

                          D /

                           /

A<----------------F/----------------------->B

                       /

C <-----------M/------------------------------>D                    

                   /

             E  /

AFD = CMF

AFM = CME

From the figure, we see that

2x - 16 + 4x + 4 = 180

6x - 12 = 180

6x = 180 + 12

6x = 192

x = 192/6

x = 32

Thus the value of x is 32.

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Is 94 − –3 positive or negative?

Answers

Answer:

positive ! the answer would be 97

Step-by-step explanation:

since you are subtracting a negative ( - - ) that automatically makes the answer positive. anytime you see subtraction sign next to a negative sign, you add !! (94 + 3 = 97! )

if you have 63 books and you donate 1/3 of you’re books how many will you have left

Answers

Answer: 42

Step-by-step explanation: you would do 63 divided by 3 then you would get 21 and do 21×2 and get 42

A. (0,3)
B. (0,1)
C. (0,1)
D. (0,2)

Answers

Answer:

c

Step-by-step explanation:

Raymond planted a vegetable garden containing 50 plants. There were 15 tomato
plants, 10 green bean plants, 5 pepper plants, 12 zucchini plants, and 8 cucumber
plants.
Use the percent that you find and multiply each times 360° to find the number of
degrees for each sector of a circle graph based on this data.

Answers

Answer:

Of all the different things I preserve, tomatoes are far and away the most-used garden ingredient in my household; it seems I'm constantly  I need to know – roughly – how many tomato plants will yield enough fruit to fill my cupboards. let's assume I can get 10-15 pounds of tomatoes from each plant.

Step-by-step explanation:

Answer:its b

Step-by-step explanation:

Failure to turn in the assignment on time will result in a loss of 5 points.
a
If you do not turn it in by Monday, January 17, 2021, at 8:00 a.m., you will receive 0 points for the assignment.

4 A store is having a 10% -off sale on all merchandise.

If Mai buys one item and saves $18, what was the original price of her purchase?

Answers

Answer:

Step-by-step explanation:

If may buys an item that, after 10% sale, costs 18 dollars

let x be original price

discount is 10%x=0.10 x

x- 0.10x=18

0.90x=18

x=18/0.90=20

x=20

I need this math question answered fast please!!

Answers

Answer:

Thanks for the points idjk

Step-by-step explanation:

1) 1. What is the vertex of the graph of the function f(x) = x2 – 8x + 5?

Answers

Answer:
(4,-11)
Explanation:
the answer is (4,11)


Write the following equation symbolically.


One-sixth of the sum of x and 5 is 4 minus y.

Answers

I believe it is

[tex]\frac{1}{6}(x + 5) = 4 - y[/tex]

The answer is :
1/6(X+5)=4-Y

plz only answer if you know :(( i’m stuck

Answers

Answer:

y = 12.3 cm

Step-by-step explanation:

yw honey

the answer to the question is 12.3cm :)

PLEASE HELP ASAP THIS IS DUE SOON

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

QUICK!!!! BRAINLIEST GETS 40 POINTS

Answers

Answer:

i think it is c

Step-by-step explanation:

plz give brainliest.....

Answer:

3

Step-by-step explanation:

We list the numbers from least to greatest

19, 23, 30, 33, 34, 40, 49, 50, 59, 67

The current median is 37

if you add 58, it would be

19, 23, 30, 33, 34, 40, 49, 50, 58, 59, 67

so the median changes to 40

40-37=3

What is the slope of a line parallel to MN for
M(-3, 4) and N(5, -8)?

Answers

Answer:

-1.5

Step-by-step explanation:

First, find the slope of these points.

-8-4/5-(-3)= -12/8= -3/2= -1.5

The slope of a line parallel to another, always has the same slope as the line that it is parallel to.

Enter the value of (1)(-8) (4)​

Answers

Answer:

-32

Step-by-step explanation:

Hey there!

The answer to your question is -32

(1)(-8)

-8

(-8)(4)

-32

Hope this helps! Good luck and have a great day!

Help me please will give brainliest

Answers

The new coordinates for B is going to be (2,2), (2,8), (8,2), (8,8)

What is the volume of this rectangular prism?
cm
4/3 4/3 4/3

Answers

Well, to find the volume of this rectangular prism, we need to multiply the length with the width with the height.
= 4/3 * 4/3 * 4/3
= 64/27

Answer:

64/27 cm³ or 2.37 cm³

Step-by-step explanation:

volume of the rectangular prism = length x width x height

where:

length = 4/3 cm

width = 4/3 cm

height = 4/3 cm

plugin values into the formula:

volume of the rectangular prism = length x width x height

                                                      = 4/3 x 4/3 x 4/3

                                                      = 64/27 cm³ or 2.37 cm³

- Lynn has two cats, Polly and Barney.
Lynn knows that Polly has a mass of 3 kg.
She estimates that Barney's mass is 3 times Polly's mass.
Work out an estimate of Barney's mass.

Answers

Answer:

9kg

Step-by-step explanation:

Because it is said that Polly's mass is 3kg but, Barney's mass is 3 times more kg than Polly.

So we multiply 3 (Polly's mass) multiplied by 3(cuz it is said three times more). So 3*3 = 9kg

Ms Miller is Turning 100 years old today. She has 24 grandchildren. If all of her grandchildren bring 6 roses each how many roses will Ms . Miller receive

Answers

Answer:

144

Step-by-step explanation:

24 times 6 equals 144

20≥−3.2(c−4.3) what is solution.

Answers

20 ≥ -3.2(c - 4.3)
20 ≥ -3.2c + 13.76
6.24 ≥ -3.2c
-1.95 ≤ c


If (p, q) is the solution to the system of equations, what is the value of q?

−16p − 2q = 100
p − 4q = 200

Answers

Answer:

The solution to the system of equations

p = 0q = -50

Hence, the value of q = -50

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}-16p-2q=100\\ p-4q=200\end{bmatrix}[/tex]

solving to determine the value of q

Multiply p − 4q = 200 by 16:      [tex]16p-64q=3200[/tex]

[tex]\begin{bmatrix}-16p-2q=100\\ 16p-64q=3200\end{bmatrix}[/tex]

so adding the equations

[tex]16p-64q=3200[/tex]

[tex]+[/tex]

[tex]\underline{-16p-2q=100}[/tex]

[tex]-66q=3300[/tex]

so

[tex]\begin{bmatrix}-16p-2q=100\\ -66q=3300\end{bmatrix}[/tex]

solve -66q = 3300

[tex]-66q=3300[/tex]

Divide both sides by -66

[tex]\frac{-66q}{-66}=\frac{3300}{-66}[/tex]

[tex]q=-50[/tex]

substituting q = -50 in −16p − 2q = 100

[tex]-16p-2\left(-50\right)=100[/tex]

[tex]-16p+100=100[/tex]

Subtract 100 from both sides

[tex]-16p+100-100=100-100[/tex]

Simplify

[tex]-16p=0[/tex]

Divide both sides by -16

[tex]\frac{-16p}{-16}=\frac{0}{-16}[/tex]

[tex]p=0[/tex]

Thus, the solution to the system of equations

p = 0q = -50

Hence, the value of q = -50

Help!!

State two ways that you could use a slope of -5/3 to graph a line.

Answers

Answer:

rise/run

Step-by-step explanation:

-5 how high/ low you go on y axis

3 how far you move left on the graph

The two ways that could use a slope of -5/3 to graph a line are;

-5 high/ low and go on the y-axis and 3 when moving left on the graph

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The more the slope of the line, the more the line is vertical. When the slope is zero, then the line is horizontal.

To determine the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

If two lines are given as perpendicular to each other, then their slopes are negative reciprocals of each other. which means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a

A Slope of a straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

The two ways that could use a slope of -5/3 to graph a line are;

-5 high/ low and go on the y-axis and 3 when moving left on the graph

Learn more about slope here:

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Find the common ratio for the following sequence:
12, 3, 3/4, 3/16, 16

Answers

I think that the common ratio is 4.

Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If
Dagne can jump 13.2 inches, how tall is she?
i will give brainliest

Answers

Answer:

I believe the answer is 3.63 but sorry if i am wrong

Step-by-step explanation:

27.5 x 13.2 = 363

363/100= 3.63ft

The height of Dagne is 48 inches. And, She can do a vertical jump that is 27.5% of her height. Therefore, she can jump 13.2 inches vertically

The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.

Scale factor: 5:8

Surface area: 475

volume: 1125

Surface area: ?

volume: ?

Answers

Answer:

Surface area: 1216

Volume: 4608

Step-by-step explanation:

Scale factor: 5:8

This means that the dimensions of the larger figure are 8/5 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(8/5) by the original surface area(475). So

[tex]S = (\frac{8}{5})^2 \times 475 = \frac{64}{25} \times 475 = 64 \times 19 = 1216[/tex]

Volume:

The volume is found multiplying the cube of the change(8/5) by the original volume(1125). So

[tex]S = (\frac{8}{5})^3 \times 1125 = \frac{512}{125} \times 1125 = 512 \times 9 = 4608[/tex]

Here you go it is here now

Answers

Answer:

40+10=50

40+-15=25

40+-30=10

40+-40=0

40+-50=-10

20+-25=-5

Step-by-step explanation:

in this order

Answer:

40+10=50

40+-15=25

40+-30=10

40+-40=0

40+-50=-10

20+-25=-5

Step-by-step explanation:

the other guy had it right.

assume that the class has 80 students and that the examination period is 95 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time

Answers

Answer:

Number of students successful= 75

Number of students not able to complete the exam in the allotted time= 5

Step-by-step explanation:

In this question the main part is missing .The given statement is the sub part of the problem .

Suppose the main part is

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.

If the main part was given like this only then we could do the following calculations.

So from above the

Population mean = μ= 80

Population Standard deviation =σ= 10 mins

Sample mean = x`= 95

Sample size= n= 80

Now first we calculate the z= score

z= x`-μ/σ

z= 95-80/10= 1.5

From the z- table we find the P (z< 1.5)= 0.9332

Now we have to find the number of students who need to complete the exam in the allotted time

Number of students successful= np= 80 * 0.9332= 74.656= 75

Number of students not able to complete the exam in the allotted time= 80-75= 5

These answers are based on the main part supposed to be as added just to explain how it will be calculated.

There may be any discrepancy with the original question.

(4+g)(-11)=121 pls show work whoever has answers first with right answer gets brainliest

Answers

Answer:

g = -15

Step-by-step explanation:

First, you are going to want to divide by -11 on both sides of the equation.

— (4 + g) (-11) / -11 = 121 / -11

— 4 + g = -11

(Note: dividing a positive number by a negative number will result in a negative number.)

Next, subtract 4 from both sides of the equation.

— 4 + g - 4 = -11 - 4

— g = -15

So, assuming you are looking for the value of g, you're answer is g = -15

Can someone help me with this both parts btw

Answers

Answer:

It is c-88=405 trust me :D

Step-by-step explanation:

*whispers* It doesn't hurt to give brainliest, I only need one more for my next tier, can I have it?

Answer:

c-88=405     c=493

Step-by-step explanation:

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