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Dmitry [639]
3 years ago
6

The line at the bullet roller coaster is moving about 4 feet for every 15 minutes. At this rate, how many hours would it take fo

r a person to travel 24 feet? Set up a proportion and solve.
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

90

Step-by-step explanation:

4/15 which is our fraction distance/time

our other fraction is 24/x (x is our variable to find our time)

Now we are doing the buultterfly method

set it up

now multiply 4*x= 4x

15*24=360

now divide 4x ÷ 4 to get our variable alone

do the same to the other side

4 ÷ 360= 90

so x= 90 which is our missing number

You might be interested in
You go to dinner and decide to leave a 15% tip for your server you had 45 when you came to the restaurant. How much money would
Zepler [3.9K]

Answer:

$24.3

Step-by-step explanation:

Tip:

15% of 18 = 0.15 x 18 = 2.7

Cost of Dinner:

Tip + Cost of meal = total price

2.7 + 18 = 20.7

Money Remaining:

Starting value - Cost of Dinner = Amount remaining

45 - 20.7 = 24.3

-Chetan K

5 0
2 years ago
Read 2 more answers
The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?
blondinia [14]

y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.

<h3>What is its equation in slope-intercept form?</h3>
  • Linear equation is an equation that models a linear function.

In linear equation the variables are raised to the first power.

Example, Linear equation: 2x + 3, Not a linear equation: x² + 5

The graph of a linear equation contains all the ordered pair that are solutions of the equation.

The equation of a line is given by,

y = mx + c, m is the slope of the equation, c is the y intercept

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} },  y intercept is the y coordinate of the point where y crosses the y axis.

Here in the question it is given that,

The points (10, -10) and (8, -10) fall on a particular line.

 

We have to find the equation in slope-intercept form.

Slope of the equation will be,

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } ⇒ m = \frac{-10 -(-10) }{8 -10 } ⇒ m = 0  

y-intercept of the equation will be,

y = mx + c ⇒ -10 = 0 + c ⇒ c = -10

The equation of the line in slope-intercept form will be,

y = 0x -10

Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.

Learn more about slope-intercept form here:

brainly.com/question/9682526

#SPJ9

         

7 0
2 years ago
The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width
Elza [17]

P = perimeter

Perimeter of a rectangle = l + l + w + w

or  P = 2l + 2w

You know:

P = 150 m

l = w + 5     [length is 5 m greater than the width]

P = 2l + 2w        Plug in what you know

150 = 2(w + 5) + 2w     Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10     Subtract 10 to both sides of the equation

140 = 4w       Divide 4 on both sides

35 = w

PROOF               l = w + 5 --->  l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

4 0
3 years ago
What is the value of x in the figure below?
Mrac [35]

Answer:

x = 125°

Step-by-step explanation:

180° - 55° = 125°

125°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
Problem of the Day:
Shtirlitz [24]

Answer:

Step-by-step explanation:

What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.

in order to find this we have to split each number into it's prime components.

for 12 they are 2,2 and 3 (

2

⋅

2

⋅

3

=

12

)

and for 15 they are 3 and 5 (

3

⋅

5

=

15

)

Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.

Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:

12

3

=

4

girls per group, and

15

3

=

5

boys per group.

(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [

2

⋅

2

] of 3 girls [12/4] and 4 boys [16/4] )

8 0
3 years ago
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