A car is traveling at a constant speed of 55 miles per hour. Using m for miles and t for time, write 2 equations to represent this situation. One equation to solve for miles and the other equation to solve for hours.

Answers

Answer 1

Answer:

m = 55t

t = m/55

Step-by-step explanation:

According to the formula for calculating speed expressed as;

Speed = distance/time

Given;

Distance = 55mph

required:

distance as a function of t

time as a function of distance m

If distance is m and time is t

From the formula;

55 = m/t

m = 55t

Hence the equation to solve for miles m is m = 55t

To get t, we will cross multiply from 55 = m/t;

55t = m

Divide both sides by 55

55t/55 = m/55

t = m/55

Hence the equation to solve for time in hours is t = m/55


Related Questions

find the gcf and use it to reduce 36/63​

Answers

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

The greatest common factor of 36 and 63 is 9.

Thus, [tex]\frac{36}{63}[/tex] = [tex]\frac{4}{7}[/tex] since (36 ÷ 9 = 4) and (63 ÷ 9 = 7).

Answer:

4/ 7

Step-by-step explanation:

you list the factors of each number  so  factors of 36 are 1 2 3 4 6 9 12 18 36 and factors of 63 are 1 , 3 , 7 , 9 , 21 and 63  as the highest common factor in each number is 9 you do 36 ÷ 9 = 4 which will be the numerator and 63÷ 9 = 7 which will be the denominator so the simplest form of 36/63 is 4/7

What rule would you use to translate a triangle 4 units to the right?

Answers

Answer:

here is what i found also you could of looked it up

Step-by-step explanation:

(x,y)→(x+4,y)

What is the equation of the line that passes through the points (2,6) and (4, 10)?

Answers

Answer:

y=2x+2

Step-by-step explanation:

took a test and got it right

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

Answers

Answer:

Range[4,24,44,64,84,104,124]

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs

20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in

pounds can be represented by f x( ) = 20x + 4.

What is the range of the function for this situation?

The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6

The given function is

f(x) = 20x + 4 =

f(0) = 20(0) + 4

= 4

f(6) = 20(6) + 4

= 124

Which means the range is within 4 and 124.

But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24

Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)

literally i need help, khan academy is not helping!!

Answers

Answer:

Top = 1588.86

Bottom = 125.66

Top

7 * π * 8.5^2 = 1588.86

Bottom

10 * π * 2^2 = 125.66

1. What is the value of x in this equation?
3x + 5 = -22

Answers

I think it’s x=-9, not sure

Answer:

-9

Step-by-step explanation:

3x+5=-22

     -5    -5

3x=-27

--------

3     3

x= -9

helpppppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: The answer is C

Step-by-step explanation:

Please help me I need the answer for this question. correct one please

Answers

the total angle = 180 degree

thus ,

x + 50 degree + 55 degree = 180 degree

x = 75 degree
Yea that’s right x=75 degrees

since u made me get it wrong u have to do this

Answers

Answer:

b and d

Step-by-step explanation:

Answer:

B and D are the correct answers.

Step-by-step explanation:

A and C are both wrong because we are not dividing 12 by 13, we are dividing 13 by 12.

B and D are corect because we are dividing 13 by 12, not 12 by 13.

what is 37 1/4 x 24 Please help!! im doing it for math!

Answers

Answer: 894

Step-by-step explanation:

A cone has a height of 15 meters and a radius of 13 meters. What is its volume?

Answers

Answer:

V≈2654.65m³

Step-by-step explanation:

Answer:

Volume (V) = 2,654.645792

Step-by-step explanation:

Hope that helps and please give me brainliest!!

Multiply using the distributive property (X+4)(X^2+6x-3)​

Answers

Answer:

x^3 + 10x^2 + 21x - 12

Step-by-step explanation:

(x + 4)(x^2 + 6x - 3)

you can separate to make it easier for u

x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part

x^3 + 6x^2 - 3x + 4x^2 + 24x - 12

add like terms together

x^3 + 10x^2 + 21x - 12

Finding the volume. help lol!!

Answers

V≈20525.07
Hope this helps and good luckkkkk :)

Answer:

5128 2/3 m³

Step-by-step explanation:

Cone Volume Formula: πr²h/3

3.14(14²) * 25/3

3.14(196) * 25/3

615.44 * 25/3

15386/25 * 25/3

GCD = 75

46158/75 * 625/75

46158/3 * 25/75

15386/3 * 25/25

15386/3

5128 2/3 m³ is the volume.

Find the slope of the line that passes through (6, 8) and (9, 10)

Answers

Answer:

m = 2/3

Step-by-step explanation:

The slope of the line is 2/3.

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

10-8/9-6

2/3

need help ASAP , midterm
- 60 points

Answers

your answer is going to be 5.2

A ball is thrown from the top row of seats in a stadium. The function h(t)=-16t2+48t+160 gives the height, t, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?

Answers

Answer:

t = 5 s

Step-by-step explanation:

The function that gives the height in feet of the ball t seconds after it is thrown is :

[tex]h(t)=-16t^2+48t+160[/tex]

We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.

So,

[tex]-16t^2+48t+160=0[/tex]

We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.

t = -2 s is not possible.

Hence, the ball will hit the ground before 5 seconds.

find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interally

Answers

Answer:

Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]

Step-by-step explanation:

Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2

Given:

Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2

ToFind:

Coordinate of 0 (zero)

Solution:

ATQ,

[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])

As we know that,

[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]

[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]

[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]

[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]

Similarly,

[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]

[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]

[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]

Hence,

Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]

Approximately how many strides does it take to complete a marathon?
Choose 1 answer:

Answers

Male steps: 55,375
Female steps:62,926

Answer:

Step-by-step explanation:

In Colorado, there is a sales tax. If the price tag on the item was $12.55 and the total price you paid at the register was $13.05 what is the percent of sales tax paid? Round to the nearest whole percent.

Answers

The awnser would be 20%!!!

A softball team has 12 girls on it. The coach needs to arrange 9 girls for the batting order. If the lineup is selected at random, what is the probability that you will be the lead-off batter (the first person to bat)?

Answers

Answer: P = 1/12 = 0.083

Step-by-step explanation:

Out of the 12 girls, there will be only one that is the lead-off batter.

we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)

Then the probability is:

P = 1/12 = 0.083

The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.

All of the following are equvalent except
O (4)(y)
O4+y
O4-y
O4y

Answers

4y.......is the correct answer

Can someone help me? It's urgent!! Whoever answer correctly will get brainliest!

Answers

Answer:can i get brainiest anyway

Step-by-step explanation:

Answer:

If I assign each bullet a letter, it is A, B, and D

Step-by-step explanation:

16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?

Answers

Answer:

you can set up a proportion

16.0/130  = x/2150

by cross multiplying you get

130x = 34400

divide by 130 and get

x-264.62

The answer is 16.5834 calories
Hope this helps good luckkkk :)

An item had an original price of $5.00. It had a percent markup of 45%. What was the value of the markup?

Answers

Answer:

markup price = $2.25

Step-by-step explanation:

markup = 45% of $5

markup = 45/100 x 5

markup = $2.25

selling price = $5 + $2.25

selling price = $ 7.25

Answer:

$2.25

Step-by-step explanation:

edgems 2020-2021

Can someone help me plz?!?!? The real answer too

Answers

Use Cymath to find your answer

Paul is six years older than Matt. One year ago, the sum of their ages was 16. How old is
Matt now

Answers

16-6 is 10, plus one year would make Matt 11

HELP!!!!! DONT KNOW HOW TO DO THIS

Answers

Answer:

They are complementary angles.

Step-by-step explanation:

62° + 28°

= 90°

What's 3 5/6 divided by 3 3/4 in Simplest form

Answers

Answer:

= 1   1/45

Step-by-step explanation:

3 5/6   /   3 3/4

23 /  15

6       4

23 x 4   =  92

6     15  =   90

=  46

   45

= 1   1/45

Solve for x:

(-3/2)x-9=-27

- 24


-12

11

12

Answers

The answer to the equation is 12

i love these kind of questions :D

okay so lets write our problem down 1st:

(-3÷2)x-9=27

okay so you take one of your answers lets do A 1st and put is as x like this:

(-3÷2)-24x(-9)=27 now solve:

(think of PEMDAS)

P = perenthesis

E = exponents (which you dont have in this problem)

M = multiply

D = divide

A = add

S = subtract

do perenthesis 1st which would be (-3÷2)

(-1.5)-24x(-9)

now multiply 24x(-9)

(-1.5)-216 = (-214.5) does it equal -24 (which was what you plugged in for x)

no it doesnt so A cant be your answer. now do it for the rest of your answers :D

simplify (-45) ÷ (-9)

Answers

The answer is 5. Because all you have to do is just divide -45 by -9.

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