Mathematics College

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
The point (3.5,210) is on the graph. Explain what this means in terms of the car.
Is the point (1,60) on this graph? Explain how you know.

A Car Traveled At A Constant Speed. The Graph Shows How Far The Car Traveled, In Miles, During A Given

Answers

Answer 1

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]

                           = [tex]\frac{210}{3.5}[/tex]

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]

                                             = [tex]\frac{60}{1}[/tex]

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

Related Questions

F(x)=3x-1 g(x) x^3 -5x^2
Find (f o g)(x)

Answers

Answer:    (f o g)(x) = 3x^3-15x^2-1

============================================

Work Shown:

f(x) = 3x-1

f(x) = 3( x ) - 1

f( g(x) ) = 3( g(x) ) - 1 ... replace every x with g(x)

f( g(x) ) = 3(x^3-5x^2) - 1 ... plug in g(x) = x^3-5x^2

f( g(x) ) = 3x^3-15x^2-1

(f o g)(x) = 3x^3-15x^2-1

5. Solve the system of equations.
x + y = 6
2x - y = 9

Answers

first, solve for x
x + y = 6
+
2x - y = 9
——————
3x = 15
x = 5

then just substitute that into one of the equations

(5) + y = 6
y = 1

then make into an ordered pair (x,y)
(5, 1)

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 40% of one-night visitors buy a unit, and 40% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit

Answers

Answer:

0.143.

Step-by-step explanation:

The first step to take in answering this question is to take or determine the probability in each cases, multiply and sum them up. Therefore, let us delve right into the solution of this problem;

[a]. Historical data indicates that 20% of all potential purchasers select a day visit. Thus, the probability that potential purchasers selects a day visit = 0.20.

[b]. Historical data indicates that 50% choose a one-night visit.  Thus, the probability that potential purchasers selects a one-night visit= 0.50.

[c]. Historical data indicates that 30% of all potential purchasers opt for a two-night visit. Thus, the probability that potential purchasers  opt for a two-night visit = 0.30.

[d].Historical data indicates that 10% of day visitors ultimately make a purchase. Thus, the probability that a day visitors ultimately make a purchase = 0.1.

[e]. The probability for  40% of one-night visitors buy a unit =0.4

[f]. The probability for  40% of two nights decide to buy =0.4.

STEP ONE: Determine the probability that the visitor makes a purchase.

The probability that the visitor makes a purchase = [a] × [d] + [b] × [e] + [c] × [f]. = 0.2 × 0.1 + 0.5 × 0.4 + 0.3 × 0.4 = 0.02 + 0.02 + 0.12 = 0.14.

STEP TWO: Determine How likely is it that this person made a day visit.

0.2 × 0.1/ 0.14 = 0.1428571428571429


Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?

Answers

Answer:

he would pay 55.8 dollars each day for 5 days

Step-by-step explanation:

What are the x-intercepts of the graphed function?

Answers

Answer:

(1,0) and (-3,0)

Step-by-step explanation:

It is because at those points on the graph is where the graphed function crossed the x-axis.

solve for y.
[tex]y + 10x = 3[/tex]
[tex]y + 10x = 3[/tex]
​

Answers

Y+10x=3

Y=3-10x

Hope this helped :)

You need a 15% alcohol solution. On hand, you have a 180 mL of a 45% alcohol mixture. How much pure
water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
Submit Question

Answers

Let x be the amount of pure water that you use.

The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.

However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that

(81 mL) / ((180 + x) mL) = 0.15

Solve for x :

81 / (180 + x) = 0.15

81 / 0.15 = 180 + x

540 = 180 + x

x = 360

Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.

So you need to use 360 mL of pure water to get 540 mL of 15% solution.

Simplify. 27x15y24−−−−−−−√3

Answers

Answer:

I also believe the answer is 3x^5 y^8

Step-by-step explanation:

The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ ∛(27 x¹⁵ y²⁴)

Simplify the expression, then we have

⇒ ∛[3³ (x⁵)³ (y⁸)³]

⇒ ∛(3 x⁵ y⁸)³

⇒ 3 x⁵ y⁸

The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.

More about the Algebra link is given below.

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solve D

6d-11/2=2d-13/2

Answers

Answer:

d = -1/4 or -0.25

now that i helped you can you go follow my twitch KayduxTV

Step-by-step explanation:

Answer:

d= -1/4

Step-by-step explanation:

First: subtract 2d from each side so you end up with 4d-11/2=-13/2

Second: next add 11/2 to both sides so you end up with 4d=-1

last: divide each by 4 to get d by itself

your final amswer is d=-1/4

If the modulus is 4 and the real part is –2.0, what is the imaginary part?

Answers

Answer:

3.5

Step-by-step explanation:

edgenuity2020

Answer:

B 3.5

Step-by-step explanation:

In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls

Answers

Answer:

390 girls.

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] of 650 is 390.

A ratio shows us the number of times a number contains another number. The number of girls in the school will be equal to 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that in the school, there are 3 girls for every 2 boys. Therefore, the ratio of girls to boys in the school can be written as,

Ratio = Girls / Boys = 3 / 2

Now, as per the ratio of the girls to boys, we can assume that the number of girls and boys in the school are 3x and 2x, respectively.

Further, given that the total number of students in the school is 650. Therefore, the total number of students can be written as,

Number of boys + Number of girls = 650

3x + 2x = 650

5x = 650

x = 130

Thus, the number of girls in the school can be written as,

Number of girls = 3x

                         = 3 (130)

                         = 260

Hence, the number of girls in the school will be equal to 260.

Learn more about Ratios:

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Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $120 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Plzzzz hellpppp

Answers

Tanmayi will need $30 more to reach her goal.

$120 + n = $150

$150 - $120 = 30

n = 30

please help! The height of a plant is increasing at a rate of 3 centimeters every 2 days. At this rate, how many centimeters does the height increase in 14 days? *

Answers

Answer:

21 cm increase over 14 days

Step-by-step explanation:

14 days / 2 days = 7 days.

3 cm every 2 days * 7 days =

3 * 7 = 21 cm

Answer at least one question below. (PLEASE HURR, I WILL GIVE 5 STARS TO THE PEOPLE WHO ANSWER A QUESTION)


1) What is the value of x that satisfies the

inequality below? 25, 100, or 101

x/4 > 25


2) What is the value of x that satisfies the

inequality below? -6, -2, or 2

.7x + 2.8 ≥ −1.4


3) What is the solution to the inequality

below? Graph the solution

3x > 21


4) Demarcus wants at least $18 to buy a

shirt. He already has $4. Write

the inequality that could be used to find

how much more money, m, Demarcus

needs?


5) Timothy wants to buy a shirt for $25.75.

He has $19.25. What is the minimum

amount he must earn to be able to

buy the shirt?


6) There are 60 members in the school

glee club. The glee club needs to raise

at least $5,000 for a trip to a national

competition. The school agreed to

contribute $1,000 toward the trip.

Which of the inequalities below shows

the amount of money that each glee

club member needs to raise to help

pay for the trip?


7) 2x – 4 ≤ 12


8) n – 19 ≥ - 27


9) x/ -6 +2 > 1


10) x + 8 ≥ 12 & graph


11) -7x – 5 25

Answers

Answer:

I believe the answer to #5 is $6.50.

Step-by-step explanation:

25.75-19.25=6.50

Write 2 x 10^3 in standard notation.

Answers

Answer:

2000

Hope this helps :)

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point 3 places to the right.

The standard notation of the expression is 2 x 10³ is 2000.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

2 x 10³

Standard notation means writing an expression without any base and exponents.

Now,

10³ can be written as 1000.

So,

2 x 10³

= 2 x 1000

= 2000

Thus,

The standard notation is 2000.

Learn more about expressions here:

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Jim has 3 apples. Mary takes 2. How many apples does Jim have now? PLZ HELP THIS IS IN MY HIGH SCHOOL MATHBOOK AND I DONT KNOW THE ANSWER.

Answers

Answer:

1

Step-by-step explanation:

3-2=1

Answer:

Jim has 3

Mary takes 2

Remaining apple=3-2 =1

thus, Jim has 1 apple jeft

. How can you determine if two ratios are equivalent. Be sure to include examples to support you response.

Answers

Answer:

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.

The surface area for a right rectangular prism is given by the following expression:
2(3x)(4x + 2) + 2(2x)(4x + 2) + 2(3x)(2x)
Which might be the dimensions of the prism, considering the formula for the surface
area for a right rectangular prism, A = 2wl +211 + 2hw? Select a length, width, and
height from the following list of answer choices.
Select exactly three choices.
А
4x + 2
B 2
С
2x
D
3x

Answers

Answer:

A B and D

Step-by-step explanation:

What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?

Answers

Answer:

  4x +y = 4

Step-by-step explanation:

The intercept form of the equation for a line is ...

  x/x-intercept +y/y-intercept = 1

For the given intercepts, this is ...

  x/1 +y/4 = 1

Multiplying by 4 gives the standard-form equation:

  4x +y = 4

find x,y,and z if AB||CD​

Answers

Step-by-step explanation:

Hey there!

75° + 28° + angle KFG = 180°( being linear pair)

103° + angle KFG = 180°

angle KFG = 180° - 103°

Therefore, angle KFG= 77°

Now;

angle KFG + 28° +22° + X= 180°{ co-interior angle}

77°+28° + 22°+x= 180°

X = 180°-127°

Therefore, X = 53°

y == X+22°= 75° { being alternate angle}

angle KFG+x+z = 180° {sum of interior angle of triangle}

77°+53° + z = 180°

z = 180° - 130°

z= 50°

Therefore, X= 53°, y = 75° and z= 50°.

Hope it helps...

If m∠SKL=31° and m∠JKS=52°, what is the measure of ∠JKL?

Answers

Answer:

the angle is 97 because in a triangle all the angles add up to 180 so if you add 52 + 31 it equals 83 then you subtract 83 from 180 and get 97

The value of JKL is 97°.

It should be noted that the total angles in a triangle are equal to 180°.

Therefore, SKL + JKS + JKL = 180°

31° + 52° + JKL = 180°

JKL = 180° - 31° - 52°

JKL = 180° - 83°

JKL = 97°

The value of JKL is 97°.

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Complete the sequence.

37.25​, 35.5​, 33.75​, __, __.

Answers

Answer:

37.25​, 35.5​, 33.75​, 32, 30.25.

Step-by-step explanation:

Subtract the first term from the second term:

35.5 - 37.25 = -1.75

Subtract the second term from the third term:

35.5 - 33.75 = -1.75

The common difference is -1.75.

To find each subsequent term, add the common difference to the current term.

33.75 + (-1.75) = 32

32 + (-1.75) = 30.25

Answer:

37.25​, 35.5​, 33.75​, 32, 30.25.

What steps should be used to find 55% of 300

Answers

Answer:

165

Step-by-step explanation:

55/100 = 0.55

0.55x300= 165

Answer:

165

Step-by-step explanation:

I know this cause i got it right

Urgent help plzzzzzzz

Answers

Answer:

What is the question?

Step-by-step explanation:

help help help help help history!!!!!!

Answers

The answer will be B

Answer:

The answer will be B :0

Step-by-step explanation:

The linear parent function is always (increasing/decreasing).

Answers

Answer:

I'm pretty sure it's increasing

Step-by-step explanation:

because the linear parent function is x=y, no negative signs

Answer:

Increasing

Step-by-step explanation:

if a car travels 400 meters in 20.5 seconds how fast is it going

Answers

Answer:

The car is going 43.6475 mph

Step-by-step explanation:

4) A B с D 2 2 If these numbers are ordered from least to greatest, at which letter will be located? A) A B) B. © C D) D​

Answers

Answer: C

Step-by-step explanation: (1/5 in decimal form is 0.2) (25% in decimal form is 0.25) (then u got 1.3 and) (2/7 in decimal form is (0.28 so A= least D= greatest) A: least, B: middle C: to, D: greatest

so A: 1/5, B: 25% C: 2/7 D: 1.3

so your answer to this question is D

in order to find the biggest decimal you'll have to see which number is bigger in front of the decimal and if there is no number infront look right behind it, D is the greatest because 1.3 is another way of saying 1 whole and 1/3 but besides the point your answer is C

Figure A is a scale image of Figure B, as ahown.


The scale that map Figure A onto Gigure B is 1:3 1
-
2
Enter the value of X ​

Answers

Answer:

x = 15

Step-by-step explanation:

1:3 is also known as 3.

Any scale factor that is greater than 1 will be an increased dilation of the shape.

Figure A to Figure B:

5 • 3 = x

x = 15

Jose bought seven shirts for an average of​ $12 each and five pair of jeans for an average of​ $32 each. How much did he spend in total for his​ clothes?

Answers

Answer:244

Step-by-step explanation:

Well first I took 7 and 12 multiplied them to get 84 and the added 32 by 5 by multiplying them, To 84 and these are averages so they aren’t exacts and it gave me 244

Answer:

244

Step-by-step explanation:

12+12+12+12+12+12+12=

24+24+24+12=

48+36= 84

32+32+32+32+32=

64+64+32=

128+32= 160

160+84=244

or

12*7= 84

32*5= 160

160+84=244

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