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?

Answers

Answer 1

Answer:

392

Step-by-step explanation:

Answer 2

The average rate of change will be "55 m/h".

According to the question,

→ After 2 hours (t₁),

Juan is 110 miles (d₁) from his home.

→ After 5 hours (t₂),

Juan is 275 miles (d₂) from his home.

→ The average rate of change will be:

= [tex]\frac{d_1+d_2}{t_1+t_2}[/tex]

By substituting the values, we get

= [tex]\frac{110+275}{2+5}[/tex]

= [tex]\frac{385}{7}[/tex]

= [tex]55 \ m/h[/tex]

Thus the above is the right solution.

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Related Questions

What is the definition of a tangent in math

Answers

Answer:

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. ... The word "tangent" comes from the Latin tangere, "to touch".

Step-by-step explanation:

A straight line touching a curve at a single point without crossing it there is tangent.

A shark is swimming 25 feet below the surface of the water. It goes down another 12 feet. What is the new depth the shark is swimming at?

Answers

Answer:

37 feet below the surface or -37 ft

Step-by-step explanation:

the new depth is -37 feet

If mAPW = 20°, then the measure of WPZ is

Answers

Answer:

The answer to the question is 20

Answer:angle WPZ = 70°

because angle ZPA is 90°.

So,

It's 90-20 = 70°.

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Answer:

The equation for charge is = current x times

What is an example of an irrational number besides pi?

Answers

this example is irracional
0.3030030003...

An Irrational Number is a real number that cannot be written as a simple fraction. An irrational number cannot be written as a simple fraction.

7.1234 is irrational because it is a nonterminating, nonrepeating decimal.

65.4349224 is also irrational

---

hope it helps

Max is asked to prove that LM=MN Here is hs proof.

This is not a correct proof explain why

Answers

Answer:

Its not true because:

Step-by-step explanation:

if you divide by M, with M not being 0, ypu have the equation L=N which is false

Sorry its long but ill give brainlist to the right one just look at the images and multiple choice parts

Answers

First one is 75/100 = x/80 with 60 free throws, second best is 70/100 = x/80 with 56 free throws, and last is 65/100 = x/80 with 52 free throws

You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation)

Answers

Answer:

7x

Step-by-step explanation:

To purchase 7 tickets at the same rate ;

Mathematically, Total Cost of an item is :

Cost = unit price * quantity

Here,

quantity = 7 tickets

Since price per ticket(rate) is the same ; then we can take rate as x

Hence, the cost of the 7 tickets is :

Quantity * rate

7 * x = 7x

A baker has 15 cups of flour. He sets aside 4 cups of flour, and uses the rest for a cookie recipe that calls for 1/2 cup of flour. How many batches of cookies can the baker make? pls help ana2928

Answers

22 batches
15-4= 11
11 x2=22

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,
and (6q – 9) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?

Answers

Given:

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,

and (6q – 9) centimeters.

To find:

The expression that represents the perimeter, in centimeters, of the triangle.

Solution:

We know that, perimeter of a triangle is the sum of its all sides.

[tex]Perimeter=(6p-7)+(7p-2)+(6q-9)[/tex]

Combining like terms, we get

[tex]Perimeter=(6p+7p)+6q+(-7-2-9)[/tex]

[tex]Perimeter=(13p)+6q+(-18)[/tex]

[tex]Perimeter=13p+6q-18[/tex]

Therefore, the perimeter of the triangle is represented by the expression [tex]13p+6q-18[/tex] centimeters.

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters, and (6q – 9) centimeters.

To find:

The expression that represents the perimeter, in centimeters, of the triangle.

Answer:

-18+13p+6q

(Also got it right on a test)

simplify to the lowest terms

Answers

Answer:

1/2

Step-by-step explanation:

divide the numerator & denominator by 4

Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?

A 1/6

B 1/3

C 1/2

D 3

Please help!

Answers

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?

Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answers

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above)

Answers

Step-by-step explanation:

just use step by step process so dum

The sum of three consecutive even integers is 30 more than the largest

Answers

Answer:

nljgdetbeybrybdtbrbrtbetbrynrynenehtnehymyrumeymryjmryj ryu

Determine the approximate average rate of change in the number of tickets sold between the 3rd and 10th days after the release.
OA.
OB.
The number of tickets sold changed at an average rate of approximately -20 tickets per day.
The number of tickets sold changed at an average rate of approximately – 7 tickets per day.
The number of tickets sold changed at an average rate of approximately –10 tickets per day.
The number of tickets sold changed at an average rate of approximately –3 tickets per day.
Ос.
D.

Answers

Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

What is the average rate of change?

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

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https://brainly.com/question/8728504

#SPJ2

Identify the slope of the graph below

Answers

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

Pleaseee help! HELP NEEDED ASAP!

Answers

5. y=20x
6. y=-6x+360

which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21​

Answers

Answer:

D. The equation has a maximum value with a y coordinate of -21​

Step-by-step explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

x = -b/2a

For the given equation the vertex is:

x = -12/2(-3) = 2

The value of y at x = 2 is:

y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D

Y= -6/5x-7 and y=2/5x+1

Answers

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

Maria and her friends ate 5/8 of the 16 oranges that were at Maria's house. which is a reasonable answer for 5/8 x 16? please help!!

Answers

Answer:

10

Step-by-step explanation:

Multiply by 2
5(2). 8(2)
10/16
The answer is 10

I'm confused, I'm used to doing these problems with both coordinates :/

Answers

Answer:

{0, 1, 16, 81}

Step-by-step explanation:

If the domain of this function is the set {0, 1, 4, 9}, we find the set representing the range by evaluating the function at each of the four values in the domain.

f(0) = 0

f(1) = 1

f(4) = 16

f(9) = 81

and so the range is the set {0, 1, 16, 81}.

Hi I need help please

Answers

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

8x = 72

x = 9

8x-10=62

solve for x

8x=62+10

8x=72

x=72/8

x=9

A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted​

Answers

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

4x + 7 = ? (I'm not so good in math so please help)

Answers

Answer:

4(x+ 1.75)

Step-by-step explanation:

Answer: 4

i wish that helped

The first equation is y = -2x + 8
and the second is
y = x - 4

Please show your work!!!

Answers

Answer:4

Step-by-step explanation:

y=-2x+8

y=x-4

Y equals the same thing so you can do equal values method

-2x+8=x-4

+2x      +2x

__________

8=3x-4

+4     +4

_______

12=3x

_____

3     3

x=4

the intercepting point is (4,0)
Explaination: Demos

A recipe that makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need

F. 1 1/8 cups
G. 4 cups
H. 6 3/4 cups
J. 3 cups

Answers

Answer:

h

Step-by-step explanation:

trust me js divide

If A > B, where on the number line will A appear?

Answers

Answer:

It will apear right after B and we can see it on the right side of B .

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Please help will give you brainliest

Answers

Answer:

14 ft squared

Step-by-step explanation:

Area is length x width so 7 x 2 = 14.

Hope this helps :D

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