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

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!!!

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

Answers

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

Convert to meters: 22 km

Answers

Answer:

22000 meters

Step-by-step explanation:

Step-by-step explanation:

1km = 1000m

22km×1000

22000

-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)

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%.

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

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.

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

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

which angle pairs are congruent? Select all that apply

Answers

Answer:

Step-by-step explanation:

The first and last one

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

Answers

Answer:

integers

Step-by-step explanation:

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

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 :)

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.

Multiply 2.89x 23.2 =​

Answers

2.89 x 23.2
289 x 232 = 67048
67.048

67.048


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

please help, due today thanks

Answers

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

Answer:

what are the given of that hakdog

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:



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:

-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:

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

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

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

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

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

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.

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

-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

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

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

Answers

Answer:

24p - 10

Explanation:

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