a car travels along the highway to yuma at steady speed. when it begins, it is 400 miles from yuma. After 7 hours, it is 59 miles from yuma. which function describes the cars distance from yuma?

Answers

Answer 1

The car's position can be described with the linear function below:

y = (-48.7 mi/h)*x + 400 mi

Which function describes the car's distance from Yuma?

We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:

y = a*x + b

Where y is the distance, a is the slope and b is the y-intercept.

Knowing the initial distance, we can write:

y = a*x + 400mi

And we know that after 7 hours, the car is at 59 mi, then we can write:

59 mi = a*7h + 400mi

59mi - 400mi = a*7h

-341 mi = a*7h

-341mi/7h = a

-48.7mi/h = a

Then the equation that describes the distance from Yuma is:

y = (-48.7 mi/h)*x + 400 mi

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Answer 2

Answer:

y=-50x+400

Step-by-step explanation:

Took the text


Related Questions

(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have? ( can you show work please)

Answers

she will have 9 pieces i’m sorry but i don’t have the work

Solve for y in terms of x: 3x = 15-5y


Helppp

Answers

5y=15-3x
y=3-3/5x
hope it helps:):)

Answer:

Step-by-step explanation:

3x =15-5y

Add 5y and subtract 3x on both sides

5y=15-3x

y=(15-3x)/5

Solve: -2+x=4 Please please answer quickly

Answers

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

I bet I will mark you as a brainiest if u get this right

To make porridge, Goldilocks mixes together 3 bags of oats with 1 bag containing 20% wheat bran and 80% oats. All the bags have the same volume. What percentage of the volume of Goldilocks' porridge mixture is wheat bran?

5%
6%
20%
26%
60%
15%
8%

Answers

Answer:

6%

Step-by-step explanation:

This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.

What is the solution to the equation above

Answers

Answer:

A = 3/4

Step-by-step explanation:

alternately could equal 0.75

Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.

Answers

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at 3:00 pm and time will it be when despacito at the same time

Answers

Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Answer:

of course they play despacito that much lol

Step-by-step explanation:

What is the slope of the line that passes through points (-10, -3) and (5, 3)?​

Answers

Answer:

m = 6/15

Step-by-step explanation:

Answer:

(-0.4,1)

Have a beautiful day, and stay safe.

The graph of a non-invertible function passes through the points (- 1, 2), (0, 6) and (3, - 4) How is the inverse of this function graphed ? Drag a phrase or group of coordinates into each box to correctly complete the statement.

Answers

Answer:

The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).

Explanation:

I just took the test.

As per the graph, the non-invertible functions pass through the point of (-1, 2)), (0,6), and (3, - 4).  

The inverse of the function on the graph will be depicted by the  Y = X. The graph of the inverse passes through the vertical line test for the inverse function. While the graph of the inverse function will pass through the (2,-1), (6,0), (-4, 3)

Learn more about the graph of a non-invertible function that passes through the point.

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What is the slope of a line that passes through these points? (5, 3) and (4, 1).

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -3)/(4 -5) = -2/-1

  m = 2

The slope of the line is 2.

Answer:

2

Step-by-step explanation:

ΔY = 1 – 3 = -2

ΔX = 4 – 5 = -1

two negatives make a positive

Solve the following equation
5x + 2 = 4x - 1

Answers

Answer:

x=-3

Step-by-step explanation:

Solve for x:

5x+2=4x−1

Move all terms containing x to the left side of the equation.

x+2=−1

Move all terms not containing x to the right side of the equation.

x=−3

A picture frame has a perimeter of 62 inches. The difference between the
length and twice the width is 1 inch. What are the length and width of the
frame?

Answers

Answer: each width = 10, each length = 21

Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21

The blueprints show the deep end of the pool as 8 feet below ground, which
is a depth of -8. The city wants the pool to be 5 feet deeper so a diving
board can be installed.

Answers

What’s the question here?

The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points

Answers

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27

Answers

Answer:

4

Step-by-step explanation:

Hope this helps!

The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mixed number in its simplest form.

Answers

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

Answer:

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4

What is the range of the function graphed below ?

Answers

Answer:

C

Step-by-step explanation:

I counted by recording all the numbers nd steps

Answer:

C

Step-by-step explanation:

Tom bought 3 boxes of books at a yard sale. If each box had 2 books how many books did he Buy ?


i will be giving brainliest.

Answers

Answer:

6

Step-by-step explanation:

2 books in each box.

There are three boxes

2 times 3 equals 6

The image of the point (9,0) under a translation is (7,4). Find the coordinates of
the image of the point (0,8) under the same translation.

Answers

Answer:

(-2, 12)

Step-by-step explanation:

Write in simplest form: what is 2^-3 in simplest form

Answers

Answer: 1/8

[tex]2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!

Answers

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.

distribute 3(7x - 8)

Answers

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

Solve for z.
11z + 2z = -13

Answers

Answer:

z = -1

Step-by-step explanation:

add like terms: 13z = -13

divide both sides by 13: z = -1

Answer:

z=-1

Step-by-step explanation:

Combine like terms: 11+2 ( 13z )

Divide: -13/13 ( -1 )

Can you also help me with this one?

Answers

The answer is c) SAS because you can assume that the two triangles have a vertical angle so since there’s two sides, the angle has to be included. Hope this helps
it should be sas since the angle is included in the two sides!

Kiera is contacting the poll workers from the last election to see whether they are willing to work in the next election. During the last election, 42\%42%42, percent of the poll workers were under 606060 years old. Let WWW be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older. Assume that each poll worker's age is independent. Find the mean and standard deviation of WWW. Round your answers to one decimal place.

Answers

Answer:

Mean: 1.7 and standard deviation 1.1.

Step-by-step explanation:

42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.

Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.

Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.

The required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.


So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.

Mean =  1/0.58
         = 1.7 poll workers.

Standard deviation = √[(1-0.58)/0.58]
                             = 1.1 poll workers.

Thus, the required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

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Which angles are vertical angles?

Answers

Answer:

T and Q

Step-by-step explanation:

It is right

Answer:

<STQ and <UTV

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x = 18

These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.

Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180

10x + 0 = 180

10x = 180

x = 180/10

x = 18

The answer is x=18 hope this helps

get 10,000 point//// Let be the world population as of March 23, 2013. Approximately, = 7,073,981,143.

Answers

Answer:

io

Step-by-step explanation:

somebody please help

Answers

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U


In parallelogram WXYZ, the shorter sides are half the length of the longer sides.


Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.


Which statements are true? CHECK ALL THAT APPLY.

A. Quadrilateral WXYZ is a rectangle.

B. The quadrilateral has opposite sides that are parallel.

C. The quadrilateral has opposite angles that are congruent.

D. If W X = 12 in., then X Y = 6 in.

E. Side WZ must be 12 inches.

F. mAngle Z = measure of angle X

G. Measure of angle W = 120 degrees

H. Measure of angle Z = 120 degrees

Answers

Answer:

B

E

H

I think this is right

For the given parallelogram following statements are true

B. The quadrilateral has opposite  sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite  sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

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