5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?​

Answers

Answer 1

Answer:

 y  = 72x

324miles

Step-by-step explanation:

Given parameters:

      Speed of the car = 72miles/hr

       distance  = y

        time  = xhrs

Unknown:

Write a direct variation equation for the distance=  ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

    A direct variation is a linear equation.

   It often takes the form y = kx

   

For this problem;

      Distance  = speed x time

input the parameters;

      y  = 72x

The direct variation equation is  y  = 72x

B. Distance traveled in 4.5hrs

   y  = 72x

  x is the time taken;

  So;

        y  = 72 x 4.5  = 324miles


Related Questions

Holden wants to earn money teaching kids how to skate. It costs him $250 to advertise his new skate school. He charges students $16 and hour to learn how to skate. How many hours does he have to teach in order to make $768, the amount needed to
buy a new gaming system?

Create an equation where r represents the
number of hours Holden needs to work.

Answers

Answer:

16r - 250 = 768

Step-by-step explanation:

First, create a term that represents his revenue:

Since he charges students $16 per hour, the amount of money he makes from this can be represented by 16r.

Then, subtract the advertising cost of $250 from this.

Set it equal to 768, because that is how much the gaming system costs.

16r - 250 = 768 will be the equation

Convert to meters: 22 km

Answers

Answer:

22000 meters

Step-by-step explanation:

Step-by-step explanation:

1km = 1000m

22km×1000

22000

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

integers

Step-by-step explanation:

Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)

Answers

so first of we have to know that the equation has to be y=mx+b. So now we plug in 0 & 7, the 0 replaces the x and the 7 replaces the y and we already know the slope which is a -2. So then when we plug all it in we have 7=-2(0)+b.
7=-2(0)+b
7=0+b
subtract 0 from both sides and then we get:
7=b
then we put it into a equation which is:
y= -2x+7

The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.

Answers

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

Write 822 in scientific notation.

Answers

Answer:

8.22 × 10²

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to convert from standard form to scientific notation:

822 = 8.22 × 10²

7: Which of the following numbers is smallest?
(b)
7.0
(c)
)
(d)
.7
12
(e)
S

Answers

Answer:

d) 0.712

Step-by-step explanation:

Your question isn't clear, so my answer may be wromg

It’s d it’s the smallest

Simplify and factor the expression 9(4p-2) - 4(3p-2)

Answers

Answer:

24p - 10

Explanation:

Three ice cream cones cost $8.40. At this rate, how much do two ice cream cones cost?​

Answers

Answer:

two cost 5.6 dollars

Step-by-step explanation:

8.4 / 3=2.8$

2.8*2=5.6$

Answer:

$5.60

Step-by-step explanation:

You first take 8.40 and divide it by 3. Which makes you get 2.8. 2.8 is the cost per ice cream cone. Do 2.8 times 2 to get 5.6.

-2, -7, -12,-17, ...
find out the nth term​

Answers

Answer:  -42

Step-by-step explanation:

Add 5 to each number until you reach the ninth term.

Answer:

-42 is the ninth term

Step-by-step explanation:

You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:

-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)

If its 9:00 am what time will it be in 50 hours

Answers

Answer:

in 50 hours it will be 11 am 2 days later

Step-by-step explanation:

24 hours is one day

2*24 = 48 hours is 2 days

50-48 = 2 hours

add 2 hours to 9 am

11 am

in 50 hours it will be 11 am 2 days later

Which one is the bigger number 3.5F or 5F.

Answers

Answer: 5F is the bigger one, because a whole number is bigger than the decimal

Answer: 5F is the answer.

Step-by-step explanation:

Drew pls mark me brainiest!!!

Multiply 2.89x 23.2 =​

Answers

2.89 x 23.2
289 x 232 = 67048
67.048

67.048

please help, due today thanks

Answers

the second question is 48 !!
mark me brainliest please <3

Answer:

what are the given of that hakdog

which angle pairs are congruent? Select all that apply

Answers

Answer:

Step-by-step explanation:

The first and last one

if 9:x=36:20, What is the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

Expressing the ratio in fractional form , that is

[tex]\frac{9}{x}[/tex] = [tex]\frac{36}{20}[/tex] ( cross- multiply )

36x = 180 ( divide both sides by 36 )

x = 5

-6y = -72 help!!!! PLZ

Answers

Answer: y = 12

Step-by-step explanation:

Divide both sides by -6

y = -72/-6

Two negatives make a positive.

y = 72/6

Simplify 72/6 to 12

y = 12

6 7/16 - (-4.75)=
need help

Answers

Answer:

143 / 16

Step-by-step explanation:

Simplified: 8.9375

Answer:

11.1875, [tex]\frac{179}{16}[/tex], or 11 [tex]\frac{3}{16}[/tex]

Step-by-step explanation:

6 [tex]\frac{7}{16}[/tex] - (-4.75) =

Decimal form - 11.1875

Exact form - [tex]\frac{179}{16}[/tex]

Mixed Number form - 11 [tex]\frac{3}{16}[/tex]

hope this helps :)

Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.

Answers

Answer:

7

x

+

15

y

=

600

Find the x-intercepts.

Tap for more steps...

x-intercept(s): (6007,0)

Find the y-intercepts.

Tap for more steps...

y-intercept(s): (0,40)

List the intersections.

x-intercept(s): (6007,0)

y-intercept(s): (0,40)

Step-by-step explanation:

Determine the value of x. images attached.

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

We use cosine to find the value of x

That's

[tex] \cos(45) = \frac{1}{x} \\ x \cos(45) = 1 \\ x = \frac{1}{ \cos(45) } \\ \\ \\ \boxed{ x = \sqrt{2} }[/tex]

Hope this helps you

Hope this helps you

Tony purchased a 15-foot-long-sub for a party. He cuts the sandwich into 5/12 foot sections. Into how many pieces does he cut the sandwich?

Answers

Answer:

3?

Step-by-step explanation:

Number of pieces in sandwich is 36 piece (Approx.)

Given that;

Sandwich size = 15 feet

Each piece = 5 / 12

Find:

Number of pieces in sandwich

Computation:

Number of pieces in sandwich = Sandwich size / Each piece

Number of pieces in sandwich = 15 / [5/12]

Number of pieces in sandwich  = 36 piece (Approx.)

Learn more:

https://brainly.com/question/14634000?referrer=searchResults

The ratio of oak trees to maple trees in a park is 6 to 4. What percent of the trees in the park are oak trees?

Answers

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

-3(2t - 1) = t + t + t + 3

Answers

t = 0

isolate the variable

Answer:

-3(2t - 1) = t + t + t + 3

-6t + 3 = 3t + 3

-6t -3t = 3t - 3t +3

-9t + 3 - 3 = 0

9t = 0

t = 0

Step-by-step explanation:

Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

Answers

Answer:

One solution:  x = 0

Step-by-step explanation:

Starting with 3x+10=2x+10,

subtract 2x from both sides.  We get x + 10 = 10, or x = 0.  This equation has ONE solution, x = 0.

Please do all for brainliest! It’s due in 1 hour!

Answers

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

Which features describe the graph?

Select all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

The domain is correct, and the range is accurate as well: the other two do not apply to this graph (they have incorrect values).

the features would be domain and range



Mr. Bartol bought 20 pizzas for a 6th grade party. The total cost was
260.
w much does 1 pizza cost?

Answers

Answer:13

Step-by-step explanation:


6. Which inequality describes the situation when Bob has at least 3 pets?

Answers

if x is the amount of pets Bob has:

≥=greater than or equal to, bob has 3 pets or more thus

x≥3

What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?

Answers

Answer:

y=5x+6

Step-by-step explanation:

The equation of line passes through the point (2, 16) will be;

⇒ y = 5x + 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (2, 16).

And, The parallel line is,

⇒ y = 5x + 8

Now,

Since, The equation of line passes through the point (2, 16).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 5x + 8

m = dy/dx = 5

m = 5

Thus, The equation of line with slope 5 is,

⇒ y - 16 = 5 (x - 2)

⇒ y - 16 = 5x - 10

⇒ y = 5x - 10 + 16

⇒ y = 5x + 6

Therefore, The equation of line passes through the point (2, 16) will be;

⇒ y = 5x + 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

A Store has 120 customers in 6 hours.What is the unit rate in customers per hour

Answers

Answer:

20

Step-by-step explanation:

120/6=20

Other Questions
Describe Southern politics A los estudiantes les gusta (they like) hablar ingles What do the students like to do? What year was the Louisiana Purchase? Im in 8th grade and im just gonna waste points lol but im interested do you remember the moment when someone help you when you were in trouble Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form HURRY!!!! I need help with this asap!!!!!use two unit multipliers to convert:A. 6 miles to inchesB. 20 square feet to square inches Which words help you to determine the meaning of the word decelerate in paragraph 3 Select a cybersecurity career that interests you. Describe the job duties and identify the skills required to excel in that career. Then, make a career plan. Please helpThe charge of o monatomic ion is its oxidation number.O TrueO FalseO Neither Isla has moved to a large city to start her first job after college. She likes her new apartment and her new work colleagues, but she cannot seem to shake feelings of sadness. Over time, she begins to sleep more and eat less. Even playing with her dog seems less fun than it used to be. Isla calls home to ask her father's advice. He says that when he was her age, he went through the same feelings for about a year. He said he found a physician to work with that helped him use medication properly to balance out his mood. "Selective serotonin reuptake inhibitors (SSRIs) Why does Montana shrink and New Jersey grow on the Electoral Power map? Find the value of each variable. ( PLEASE HELP!) Arrange the cultures in chronological order using numbers 1-5.Toltec, Olmec, Spanish, Maya, Aztec when hydrogen shares electrons with oxygen the outermost shell of the hydrogen atoms are full with how many electrons? and oxygens valence shell is full with how many electrons? because the valence shells of these atoms are full,the atoms are stable. After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house? Find each percent of change. State whether the change is a increase or a decrease.A $50 coat is put on sale for $35.The percent change is _____. This is a price ____.This is a exit slip.. Please help :> Having a widow's peak like WentworthMiller is dominant.Not having a widow's peak, like Rihanna, isrecessive. 10) If Wentworth Miller is Aa, and he and Rihanna had children, what are the possiblephenotypes and genotypes of their children? Circle the true number sentences and rewrite the false sentences to make4= 45 + 1 = 6 + 13 + 2 = 5 + 06+2=4+43+3= 6 + 29 + 0 = 7 + 28-8 +06+3=5+43+3=6+2 Solve for x. 0 = 2x + 3x + 5 Which statement BEST describes the movement of energy and matter in this system?AMatter and energy flow through the system.BMatter and energy cycle through the system.Matter cycles and energy flows through the system.DMatter flows and energy cycles through the system.