After driving for 2 hours, Juan is 110 miles from his home. After driving 5 hours, he is 275 miles from his home. What is his average rate of change? (Do not include units in your answer. For example, if your answer is 100 miles per hour, only write 100.)

Answers

Answer 1

Answer:

55

Step-by-step explanation:

Step 1: Divide each mile he drove by the hours:

110 ÷ 2

[tex]\frac{110}{2}[/tex]

= 55

275 ÷ 5

[tex]\frac{275}{5}[/tex]

= 55

Note - the next step is not necessary in this case even though it asked for the average because if both results are the same, then that is the answer.

Step 2: Find the average of the two results:

[tex]\frac{55+55}{2}[/tex]

[tex]\frac{110}{2}[/tex]

= 55

Therefore, the average rate of change is 55 miles per hour.


Related Questions

3+11+.....+(8n-5) = 4n²-n using PMI​

Answers

Answer:

Basis step: S(1):

LHS: (8(1)−5)=3

RHS: 4(1)2−(1)=3

Help assap A lot of points

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Answer:

The answer is "A"

p < 9

Step-by-step explanation:

Huiling has sonme 20-cent coins and 50-cent coins. She has 4 times as many 20-cent coins as 50-cent coins. She has a total of $39. How many coins does she have altogether?​

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Answer: 150

Step-by-step explanation:

A minute-hand of a clock is 13 in long. Find the distance traveled by the tip of the minute-hand in
one hour.

Answers

Answer:

81.7 inches

Step-by-step explanation:

i think this question is basically asking for the

circumference of a circle with a radius of 13

C = 2πr

= 2π(13)

= 26π

= 81.7 in

-1-2•[(-1)+5)} I am so lost on these math problems

Answers

Answer:

-9

Step-by-step explanation:

Use the order of operations. Do these operations in this order:

ParenthesisExponentsMultiplicationDivisionAdditionSubtraction

Note: when either multiplication and division, or addition and subtraction are there, go left to right.

Equation: -1 - 2 · {(-1) + 5}

Solve:

-1 - 2 · {(-1) + 5}-1 - 2 · {4}-1 - 8-9

*Challenge*

Using the same method, see if you can solve this equation:

6 ÷ 2(1+2)

-Chetan K

the answer is -9 because me said so

solve the system of linear equations by substitution. x+4y=18 y=-x+9

Answers

Using the substitution method, the solution to the system of linear equations, is: (6, 3).

System of Linear Equations

Using substitution method, we can make one of the variables the subject of the formula for one of the equations, then find the other variable by substituting.

Given:

x + 4y = 18 --> eqn. 1y = -x+9 --> eqn. 2.

Substitute y = -x + 9 into equation 1.

x + 4(-x + 9) = 18

x - 4x + 36 = 18

-3x + 36 = 18

-3x = 18 - 36

-3x = -18

x = 6

Substitute x = 6 into equation 2 to find y

y = -6 + 9

y = 3

Therefore, using the substitution method, the solution to the system of linear equations, is: (6, 3).

Learn more about system of linear equations on:

https://brainly.com/question/11767839

If FE is a midsegment of BCD, find BC.


A.

3.8

B.

6.9

C.

8.7

D.

13.8

AND CAN YOU EXPLAIN IT ALSO THANK YOU

Answers

Answer:

D

Step-by-step explanation:

The side BC is bisected at E by the midsegment FE , then

BE = EC = 6.9 , so

BC = BE + EC = 6.9 + 6.9 = 13.8 → D

Expressing your answer in interval notation, find the set of all p for which ∫(upper bound: inf, lower bound: 1)(x^p)*log(x) converges.


I don't know how to start this

Answers

Answer:

I'm either ask another Tutor


Evaluate
for x = 2 and y = -4.
1/2^-2x^-3y^5

16
-1/32
-16
-4

Answers

Answer: 32/1024

Step-by-step explanation:

Answer: option b, -1/32

YALL PLS HELP ME ITS MY HW

How do you determine the value of the unknown exponent in the
equation 9,700 divided by 10 to the power of what equals 0.97?

Answers

Answer:

?=4

Step-by-step explanation:

First, we have to tell how we got from 9700 to 0.97. so we know that it is divided by 10^?. When you divide by 10, it is the same as moving the decimal point one space to the left. SO all you have to do is count how many times the decimal point got moved to get from 9700 to 0.97. This number is 4 so the question mark is 4 because 9700/10^4 will move the decimal place 4 to the right and give you 0.97.

5 x(8-4) divide 4 -2 =

Answers

If it is 5(8-4)/4-2 then the answer is 10, even if you are trying to find x because you would still have to multiply, subtract, and divide the same numbers.

Answer:

2x+5

Step-by-step explanation:

5 x(8-4)/4-2= 5+8x-4x= 5+4x/4-2=4x/2=2x+5

what is the definition of order of operations
i need it for my assignment pls

Answers

Answer:

when you do order of operation it's when you analyze the the questions that it gives you by looking at the ones that could be possible and the ones that could be not possible

Answer:

a rule that tells the correct sequence of steps for evaluating a math expression

Work out the size of angle x

Answers

Answer:

53

Step-by-step explanation:

because triangle is equal to 180

the first one is 35 and there is 90 u will add them the u substraction 127 from 180 it equal to 53

hope it help

53 should be the answer

3) reflection across the y-axis

Answers

There you go. I just drew it to make it easier than giving coordinates

Help me plsssssssss its easy and show work please

Answers

Answer:

» For x-intercept, y is zero

y = - 12x + 32

[tex]{ \tt{0 = {x}^{2} - 12x + 32 }} \\ { \tt{ {x}^{2} - 12x + 32 = 0 }} \\ { \tt{(x - 8)(x - 4) = 0}} \\ { \tt{x = 8 \: \: and \: \: 4}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: (8, \: 0) \: \: and \: \: (4, \: 0) \: \: }}}[/tex]

y = - 10x +24 :

[tex]{ \tt{0 = {x}^{2} - 10x + 24}} \\ { \tt{ {x}^{2} - 10x + 24 = 0}} \\ { \tt{(x - 6)(x - 4) = 0}} \\ { \tt{x = 6 \: \: and \: \: 4}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: (6, \: 0) \: \: and \: \: (4, \: 0) \: \: }}}[/tex]

y = + 10x + 16 :

[tex]{ \tt{0 = {x}^{2} + 10x + 16}} \\ { \tt{ {x}^{2} + 10x + 16 = 0 }} \\ { \tt{(x + 2)(x + 8) = 0}} \\ { \tt{x = - 2 \: \: and \: \: - 8}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: ( - 2, \: 0) \: \: and \: \: ( - 8, \: 0) \: \: }}}[/tex]

y = - 25 :

[tex]{ \tt{0 = {x}^{2} - 25}} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{ \sqrt{ {x}^{2} } = \sqrt{25} }} \\ { \tt{x = \pm5}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: (5, \: 0) \: \: and \: \: ( - 5, \: 0) \: \: }}}[/tex]

y = + 8x + 12 :

[tex]{ \tt{0 = {x}^{2} + 8x + 12 }} \\ { \tt{ {x}^{2} + 8x + 12 = 0 }} \\{ \tt{(x + 2)(x + 6) = 0}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: ( - 2, \: 0) \: \: and \: \: ( - 6, \: 0) \: \: }}}[/tex]

For x-intercepts, y is zero y = x² - 12x + 32 then x-intercept is (8,0) and (4,0)

For x-intercepts, y is zero y = x² - 10x + 24 then x-intercept is (6,0) and (4,0)

For x-intercepts, y is zero y = x² + 10x + 16 then x-intercept is (-2,0) and (-8,0)

For x-intercepts, y is zero y = x² - 25 then x-intercept is (5,0) and (-5,0)

For x-intercepts, y is zero y = x² + 8x + 12 then x-intercept is (-2,0) and (2,0)

What is x-intercepts?

X- intercepts is "x coordinates of a point where a line, a curve or surface intersects at x- axis".

According to the question,

a) y = x² - 12x + 32 (Put y=0)

x² - 12x + 32 = 0

(x-8) (x-4) = 0

x - 8 =0: x - 4 = 0

x = 8 and 4

x - intercept is (8,0) and (4,0)

b) y = x² - 10x + 24 (Put y=0)

x² - 10x + 24= 0

(x-6) (x-4) = 0

x - 6 = 0: x - 4 = 0

x = 6 and 4

x - intercept is (6,0) and (4,0)

c) y = x² + 10x + 16 (Put y=0)

x² + 10x + 16 = 0

(x+2) (x+8) = 0

x + 2=0: x + 8 = 0

x = -2 and -8

x - intercept is (-2,0) and (-8,0)

d) y = x² - 25 (Put y=0)

x² - 25 = 0

x² = 25

x = ± 5

x - intercept is (+5,0) and (-5,0)

e) y = x² + 8x + 12 (Put y=0)

x² + 8x + 12 = 0

(x+2) (x+6) = 0

x + 2=0: x + 6 = 0

x = 2,6

x - intercept is (2,0) and (6,0)

Learn more about X - intercepts here

https://brainly.com/question/13346147

#SPJ2

In aclassroom 5/6 of the students are wearing blue shirts and 2/5 are wearing white shirts there are 36 students in the class how many students are wearing a shirt other than blue or white

Answers

Blue shirt - 5/6

White shirt - 2/5

Total students - 36

So the answer is

5/6 of the students wearing blue shirts out of 36 are 30.

2/5 (i.e 4/10) of the students wearing white shirts out of 36 are 24.

Remaining 5/6 students are wear shirts other than blue or white are 30.

What is the inequality shown?

Answers

maximum rms velocity formula

Answer:

- 4 ≤ x ≤ 3

Step-by-step explanation:

The line goes from - 4 to 3

The end points are represented by solid circles , indicating that x can be equal to these values.

The inequality representing the line is

= 4 ≤ x ≤ 3

A park has a ratio of basketballs
to soccer balls that is 7:10. What
fraction of these balls are soccer
balls?

Answers

Answer:

C. 7/10

Step-by-step explanation:

Answer:

a,;mn;kan

Step-by-step explanation:

True or false just answer like that pls

Answers

Answer:

false

false

true

false

true

Step-by-step explanation:

brainliest?

A coin is tossed and an eight-sided die numbered 1 through 8 is rolled Find the probability of tossing a head and then rolling a number greater than 1 The probability of tossing a head and then rolling a number greater than 1 is (Round to three decimal places as needed.)​

Answers

Answer:

Step-by-step explanation:

Probability of a head is 1/2  of getting heads.

probability of a number greater than 1 is 7/8 on 8 sided die

Total probability = 1/2 * 7/8 = 7/16 = 0.4375

The product of 9 and a number decreased
by ten in an algebraic formula

Answers

Answer:

  9n -10

Step-by-step explanation:

If n represents the number, the product of the number and 9 is 9n. That value decreased by 10 is ...

  9n -10

_____

Additional comment

The English expression is ambiguous in that we cannot tell if the number is decreased by 10 before becoming part of the product (9(n-10)), or if the correct interpretation is the one shown above. The order of operations is used as a guide, telling us that the multiplication is done before the subtraction since there is no indication of grouping.

One of the legs of a right triangle measures 1 cm and the other leg measures 10 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Use Pythagorean Theorem A^2+B^2=C^2

1^2+10^2=101^2

sqrt both sides to get C=101

What is the slope of the line that passes through the points (2, 3) and (6, 8)?

Answers

Answer:

[tex]s = y2 - y1 \div x2 - x1 \\ (8 - 3) \div (6 - 2) \\ 5 \div 4[/tex]

5÷4=1.25

Answer:

1.25

Step-by-step explanation:

slope = y2 - y1

-----------

x2 - x1

8 - 3

‐------

6 - 2

5/4

1.25

Convert 17π/8 to degrees.

A) 382.5°
B) 765°
C) 1147.5°
D) 1530°

Answers

Answer:

A) 382.5°

Step-by-step explanation:

Convert from radians to degrees using the ratio

180/π

Please help me with this

Answers

Answer:

  see attached

Step-by-step explanation:

The grid show the non-possibilities in red, with each number corresponding to the statement that eliminates that choice. The green square (with black text) shows the one combination that is specified already (by statement 4). The lighter green numbers show possible alternatives: first period may be Schiller or English, and room 113 will be the other one. Similarly, Art may be 3rd period or Thomlinson.

__

These choices (light green 5, light green 6) give rise to four possibilities. Working through them, you run into inconsistencies if you choose Schiller for first period. (Art must be, but can't be, in room 112.) That leaves two possibilities.

Again, you run into inconsistencies if you choose Thomlinson as the Art teacher. (The class in 112 is 2 periods after Xavier's class, not 1.)

Hence, the only viable pair of remaining choices is Schiller in room 113 and art in 3rd period.

The final schedule is shown in the attachment.

_____

Additional comment

When I'm working these on paper, I use an X to mark any impossible combinations, and a circle (O) to mark a known combination. In any given 4×4 square of the grid, the remaining cells of the row and column containing a O must be Xs. Consistency must be maintained between rows and columns. This often means filling a circle in one place may result in a circle being filled in another place. Of course, once 3 of the squares in a row or column have Xs, the remaining one must be O.

Answer:

here branliest o sqfandance I am a fan of his answers

Step-by-step explanation:

How can you use a pattern to write and solve an equation?

Answers

Answer:

From the given data, questions like find the mean or median can be made....

solve for x fast please

Answers

(-x+191)+(-x+170)+149+(-2x+222)=360
=>x=93

What percentage of these running times are longer than 6.44 minutes

Answers

You forgot to add an image

The quotient of a number and thirty-six is one-nineth

Answers

Answer:

n=4

Step-by-step explanation:

[tex]\frac{36}{9}[/tex]=n

30 students, 1/3 play sports. 2/5 play soccer. how many play soccer of 30 students 1/3 play sports of those who play sports 2/5 play soccer. How many students play soccer ​

Answers

Answer:

4

Step-by-step explanation:

No.of people play sports= 1/3 of 30

=1 x 10 = 10

So, 10 people play sports

Now, 2/5 out of 10 people play soccer

Therefore, the question will be

2/5 out of 10

= 2x2 = 4

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