A car traveling along a long straight highway at a constant speed passes a rest area. The distance d, in miles, the car must travel to reach the next rest area as a function of the time t, in hours, is modeled by d(t) = 100 - 65t . a) What does the 100 represent in the context of the problem? b) What does the 65 represent in the context of the problem?

Answers

Answer 1

Answer:

100 is the distance between that rest stop and the next 65 is the speed in which the car is traveling


Related Questions

The price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased?

Answers

Answer: 25 percent

Step-by-step explanation:

The price of the medicine was increased by 50%.

Given,

The price of some medication was increased from $8 to $12.

We need to find by what percentage the price of the medicine increased.

How do we find a percentage increase?

The formula used is given as:

Percentage increase = [tex]\frac{Final~amount - Initial~amount} {Initial ~amount}[/tex] x 100

Find the initial amount.

= $8

Find the final amount.

= $12

Find the percentage increased.

= ($12 - $8) / $8 x 100

= 4/8 x 100

= 1/2 x 100

= 50%

Thus the price of the medicine was increased by 50%.

Learn more about how to find the percentage increase with a ratio given here:

https://brainly.com/question/22624454

#SPJ6

Points c (-5,8) and d (2,5) lie in line cd, if points c and d are created by translating points c and d left 6 units, what is the slope of line c’

Answers

Answer:

Step-by-step explanation:

Remark

Moving 6 points left is not going to alter the slope (or it shouldn't).

The x value has to have 6 subtracted from it. Leave the y value alone.

Givens

C: (-5-6,8) = (- 11,8)

D: (2-6,5) =  (-4,5)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (8 - 5)/(-11 - - 4)

m = 3 / - 7

m = - 0.429

Check

Let's find the slope of the original points.

(8 -5)/(-5 - 2) = 3/-7 which is the same thing.

A punch recipe calls for 6 quarts of juice. If the recipe is tripled, how many gallons of juice will be needed

A : 18
B: 9
C: 4 1/2
D : 3​

Answers

Answer: C
6 x 3 = 18
18 \ 4 = 4.5
18 because you multiply 6 by 3

it is due in very soon and i don’t wanna fail math. can someone plz help. :/

Answers

Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

One digit is chosen from the digits 0 through 9. The sample space S is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. List the elements in the following events. (See Example 2 in this section. Enter your answers as comma-separated lists.)
(b)
The number is divisible by 3.
{ }

Answers

Answer:

The numbers divisible by 3 are

{0,3,6,9}

Step-by-step explanation:

Here, out of the sample space, we want to list the numbers which are divisible by 3

That will be;

{0,3,6,9}

giving brainliest h e l p

Answers

Answer:

She can buy 1 bullitin board.

Step-by-step explanation:

1347 divided by 75 is 17.96

I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.

she can buy one board.. <33

Which theorem is not a valid theorem to show that two triangles are congruent?
A. SAS Triangle Congruence Theorem
B. SSA Triangle Congruence Theorem
C. ASA Triangle Congruence Theorem
D. AAS Triangle Congruence Theorem

Answers

Answer:

B

Step-by-step explanation:

I got 100 on my test and that was my answer

This is about Knowledge of Congruence Theorems of Triangles.

Option B is not Valid

In Congruence theorems, we have 4 major types which are;

1) SSS Congruency Theorem; This one denotes Side - Side - Side and it means that if 3 sides of a triangle are equal to corresponding 3 sides of another triangle, then they are both congruent.

2)  SAS Congruency Theorem; This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to corresponding 2 sides and one angle of another triangle, then they are both congruent.

3) ASA Congruency Theorem; This one denotes Angle - Side - Angle and it means that if 2 angles and the included side of a triangle are equal to corresponding 2 angles and the included side of another triangle, then they are both congruent.

4) AAS Congruency Theorem; This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.

Looking at the options, the only one that is not Valid is Option B.

Read More at; https://brainly.com/question/10533727

What is the most accurate anwser for 2+2= ???
I got it on me tes a scwool todays
somebwod hewlp my

Answers

Answer:

Fish (4) is the correct answer.

Step-by-step explanation:

HELP DUE IN 5 MINUTES!!!!

Find the slope of a roof of a home that rises 6 feet for every horizontal change of 24 feet.

O -4
0 1
0 4
O None of the above

Answers

So it’s rise over run meaning 6/24 and if you divide that it will be 4 so the answer might be 4

Osama buys some notebooks and some pens.
Each notebook costs $12 more than each pen.
The total cost of 5 notebooks and 2 pens is $64.20.
Find the cost of one pen.​

Answers

Answer:

$2.10

Step-by-step explanation:

12*5=60

64-60.20=4.20

4.20 is for 2 pens

4.20/2=2.10

=$2.10

Which chemical equation is balanced?
Question 2 options:

CH4 + O2 → H2O + CO2

CH4 + O2 → 2H2O + CO2

6CH4 + O2 → 2H2O + 2CO2

CH4 + 2O2 →2H2O + CO2
help

Answers

Step-by-step explanation:

CH4 + 2O2 →2H2O + CO2

the answer

Answer:

The balanced chemical equation of the given reaction are;

b.CH4 + 202-> 2H20 + CO2

Step-by-step explanation:

C=C

H4=2H2

2O2=O2+2O(2O2)

I Think it helps you.

in the figure below, m<2=62. Find m<1, m<3, m<4

Answers

Step-by-step explanation:

yes

8n - 4n squared + 8n​

Answers

Answer:

Step-by-step explanation:

10

When converting 16/3 from improper to a mixed number, what will the whole number be? first one will get mark brainlist

Answers

Answer: 5 1/3

Step-by-step explanation:

Determine which of the lines, if any, are parallel. Explain.
8. Line a passes through -1, 4 and 1, 5. 9. Line a: 6 y = -x + 12
Line b passes through -2, 7 and 0,4 . Line b: x = 6y + 5
Line c passes through 0, 4 and 2, 5.
Line c: -6 y + x = 5

Answers

Answer:

8) a and c

9) b and c

Step-by-step explanation:

Explanation and work are in the picture :)

Use the word problem below to solve the problems. It costs $50 to rent a car plus $3.00 per gallon of gas in the car. If I can spend at most $83.00, then how many gallons of gas can I get when I rent the car? 1.Write the inequality (ex. a + bx < c) and show all work to solve the inequality. 2. Graph the solution to your inequality on a number line.

Answers

Answer:

i just know you can have 12 gallons of gas

Step-by-step explanation:

because it is 3x2=6

3x10=30 which means 10+2=12

Answer:

50×5=78

Step-by-step explanation:

5÷3.00/83.00(ab)

How can you use the properties of operations to evaluate
this expression?
18 + 4(28)

Answers

Answer:

Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.

Answer: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

1.
A. SSS
B.T SAS
C. ASA
D. AAS
E. HL
F.. Not

Answers

Answer:

ASA

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+242x+73

Answers

Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

[tex]y=-16x^2+242x+73[/tex]

We ned to find the time when the rocket will the ground. For this, y = 0

[tex]-16x^2+242x+73=0[/tex]

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = -16, b = 242 and c = 73

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]

Neglecting negative value.

So, it will hit the ground in 15.42 s.

Answer:

t = 15.42 s

Step-by-step explanation:

which pair of triangles that are congruent that are using the hypotenuse leg congruence criteria?

Answers

Answer:

2 and 3

Step-by-step explanation:

A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet and the length to be 4y+8 feet. Write an expression in the simplist form to represent the are a of the building in terms of y.

Answers

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

Please help!!!!!!!!​

Answers

Answer:

1 [tex]\frac{14}{15}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{5}[/tex] × 2 [tex]\frac{5}{12}[/tex] ← change the mixed number to an improper fraction

= [tex]\frac{4}{5}[/tex] × [tex]\frac{29}{12}[/tex] ( cancel 4 and 12 by 4 )

= [tex]\frac{1}{5}[/tex] × [tex]\frac{29}{3}[/tex]

= [tex]\frac{29}{15}[/tex]

= 1 [tex]\frac{14}{15}[/tex]

4/5x2 5/12=1 7/15
4/5x22/12 turn into improper
Cross multiply turns into
1/5x22/3 then multiply and get
22/15=1 7/15

what is the y intercept

Answers

Y intercept is (0, -4/5)
Set x as 0 and solve
Ignore the dumb kid who said y=8

Tell whether 15/7 and 16/8 form a proportion yes or no

Answers

Answer:

yes

Step-by-step explanation:

it can be written either as 15/7 or 15:7 to be a proportion, same goes for 16/8 and 16:8

Answer:No.

Step-by-step explanation:15 x 8 is 120 and 16 x 7 is 112 which isn’t equivalent

The product of a number and 7 is 6.

Answers

Answer:

0,8571

Step-by-step explanation:

7 ÷ 6 = 0,8571

7 · 0,8571 = 5,9997 ≈ 6

please help please help please help please help please help please help please help please help

Answers

3 units right, 4 units down maybe ?

A moving company drove one of its trucks 100,042 miles one year. A second truck was
driven 98,117 miles, and a third truck was driven 120,890 miles. How many miles
were driven by all three trucks?








HELP ME PLEASE IVE BEEN STUCK FOR HOURS ON THIS!!!!!!

Answers

319049

as 100,042 + 98,117 + 120,890 = 319,049

Find the slope of the line containing the pair of points.
(-8,-2) and (6,3)

Answers

Answer:

 5/14

Step-by-step explanation:

             3--2=5

             6--8=14  

Aubrey wants to save money to purchase a new bicycle that costs $275. If she saves $5 per week, how many weeks will it take Aubrey to have enough money to purchase the bicycle?

Answers

Answer:

55

Step-by-step explanation:

275/5=55

At Springfield Middle School, there are ​n​ 7th graders, and ​p​% of them play at least one sport. Which expression represents the number of students who do not play any sports? 4©​Success Academy Charter Schools 2020 A p n B .01np 0C 100 (100−p)nD .01 (1−p)nE 00(1 )n 1 −p

Answers

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

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