You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.



The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____

Answers

Answer 1
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.

Related Questions

10. A wildfire in Montana destroyed 240,000 acres in 3 days. At this rate, how many
acres were destroyed per hour?

Answers

Answer:

Approximately 3,333 acres per hour.

Step-by-step explanation:

Let's first find out how many hours are in 3 days.

There are 24 hours in one day.

24 times 3 = 72.

There are 72 hours in 3 days.

So the wildfire is destroying 240,000 acres every 72 hours.

240,000 divided by 72 = 3,333.3333, which is about

3,333 acres per hour.

The number of acres of land that were destroyed per hour is 3,333.33 acres.

Given the following data:

Land destroyed = 240,000 acres.Time = 3 days.

To calculate the number of acres of land that were destroyed per hour:

How to solve a word problem.

In this exercise, you're required to determine how many acres of land in Montana were destroyed by the wildfire per hour. Thus, we would first of all convert the value of time in days to hours and then divide the acres of land by it.

Conversion:

1 day = 24 hours.

2 days = 48 hours.

3 days = 72 hours.

For the acres destroyed per hour, we have:

[tex]Land=\frac{240000}{72}[/tex]

Land = 3,333.33 acres.

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I need the answer asap and the demonstration please

Answers

Answer:

4

Step-by-step explanation:

Use system of equations to solve for x.

6x-9=2x+7
Minus 2x from both sides
2x-2x cancels and 6x - 2x = 4x
4x - 9 = 7
Add 9 to both sides
-9+9 cancels to become 0
7+9 = 16
4x/4 = x
16/4 = 4
X =4

Hello hello helppppppppppppp

Answers

Answer:
5 units left and 2 units down

Answer:

the person anove is correct

Step-by-step explanation:

five men can repair a stretch of road in 8 hrs. how many men would be needed to repair the same road in 3 1/3 hrs
also tell if its direct or inverse proportion
i just wanna check my answer, whether its correct or not

Answers

Answer: 12 men would be needed to repair the same road in 3 1/3 hrs. Inverse proportion because usually in work,food and time its inversly proportional.

8 hours --> 5 men

1 hour --> 5*8 = 40 men

3 1/3 hours --> 40/ (3 1/3) men

                  --> 12 men

Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?

Answers

Answer:

y=150(x/2)

Step-by-step explanation:

y = 150(x/2)

y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.

x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.

With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).

Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)

Answers

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]


A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour. What is the total amount of hours it will take to remove the dirt?

Answers

Answer:

Here is a generic way to set up this type of algebra problem.

d = total amount of dirt at the site (tons)

r = rate or removal (tons/hr)

t = time it takes to remove all of the dirt (hr)

d = rt

The total amount of dirt equals the removal rate times hours spent removing all the dirt.

Since you want to solve for t, divide both sides by r

t = d/r

Frank rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 76 cents for cach mile driven. Frank had
S152.75 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Frank drove 176 miles.

Step-by-step explanation:

Subtract the base fee from the total payment

152.75 - 18.99 = 133.76

divide the remaining amount(price for miles driven) by the cost for each mile

133.76 / .76 = 176

176 miles.

On solving the linear equation in one variable, given that there was a base fee of $18.99, and there was an additional charge of 76 cents for each mile driven, Frank had $152.75 when he returned the truck, the number of miles driven were 176 miles.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable.

Let the number of miles driven be x.

Given in the question,

base fees = $18.99

charge per mile = 76 cents = $0.76

The equation of the total cost becomes :

= base fees  + charge per mile * number of miles

= 18.99 + 0.76x

Given the total cost = $152.75

Equating the two values,

= 18.99 + 0.76x = 152.75

= 0.76x  = 133.76

= x = 176

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Solve the following proportions for v V/5=13/17

Answers

Answer:

v=3 14/17,v=3.8235294117647058

Explanation:

v/5=13/17simplify the equation using cross multiplication

17v=65Divide both sides of the equation by 17

Pick me as brainliest like my answer follow me please

Find the area of the shape shown below:

Answers

Answer:

80

Step-by-step explanation:

3.5*2*2*2*2*5=280

A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L

Answers

Answer:

Step-by-step explanation:

11L - 42 = 4L

       7L = 42

         L = 6

The lengths two sides of a triangle are 10 cm and 11cm. Between what two measures should the length of the third side fall?

Answers

Step-by-step explanation:

a triangle can only be a triangle (all sides connect with each other), if every side is less than the sum of the other 2 sides.

so, the third side must be shorter than 10+11 = 21 and longer than 11-10 = 1, so that the side of 11 cm is shorter than the sum of the other two sides.

Answer:

1 < x < 21

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

11 - 10 < x < 11 + 10

1 < x < 21

Find the probability of rolling a die twice, first getting a 3 and then an odd number.
(This sounds simple but every answer I get isn’t the correct one)
PLEASE I DON’T UNDERSTAND

Answers

Answer: 1/3 or 0.333333333

Step-by-step explanation:

Probability of getting a 3 is 1/6.

1/6

Probability of getting an odd number is 3/6.

3/6

Multiply them.

1/6*3/6 = 4/12

Simplify.

4/12 = 1/3

Correct me if I am incorrect.

Help help help math please last one be honest

Answers

Answer:

122 degrees

Step-by-step explanation:

The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.

Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.

When keeping these two things in mind, you can solve like this:

180 = angle3 + 58

180 - 58 = angle3

angle3 = 122

122 degrees

The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference between the high and low temperatures for that day? Enter your answer as a decimal in the box.

Answers

28.3

Step-by-step explanation:

the difference is the answer to a subtraction problem so we can plug in our numbers like this

25.6-(-2.7) which equals 28.3

a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example

Answer:

He's right it's 28.3

Step-by-step explanation:

A cube has a surface area of 54cm^2 Find the side length, x, of the cube

Answers

we know that the area of a cube is its side cubed

So, x^3 = 54(i think it should be 64)

x = 4 (if it is 64)

if it is 54 then we will take the cube root of 54

Answer:

3

Step-by-step explanation:

6a^2=54

a^2=54/6

a=root 9

a=3

please help

x-3=x^(2)-10x+25

Answers

Answer:

x=7,4

Step-by-step explanation:

How many sixes are equal to double 27?

Answers

Answer:

its not sixes theres 4 sixes equal 24 so there is no answer

Step-by-step explanation:

can i have brainliest pls

Answer:

9

Step-by-step explanation:

Double 27 is 54. 6 times 9 is 54

Solve the equation
37.86+x=53.15

A. 15.29
B. 16.39
C. 90.91
D. 90.01

Answers

Answer:

X = 53.15-37.86

X = 15.29

option A

A=1/2h(b1+b2) is the formula for the area of a trapezoid. Rewrite the formula for h, and then find the height of the trapezoid that has an area of 78 square inches and base lengths of 5 inches and 8 inches.

Answers

Answer:

Let's neaten up that equation a bit:

trapezoid area = height * (sum of the bases) / 2

height = 2 * area / (short base + long base)

height = 2 * 78 / (5 + 8)

height = 156 / 13

height = 12 inches

Source: https://www.1728.org/quadtrap.htm

Step-by-step explanation:

The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches

What is area of a trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

The area of a trapezoid is expressed as;

A = 1/2( a +b) h

where a and b are the parallel sides and h is the height.

Making h the subject

(a+b)h = 2A

h = 2A/( a+b)

h = 2A( b1 + b2)

A = 78 in²

a = 5 in

b = 8 in

h = 2 × 78/( 8+5)

h = 156/13

h = 12 in

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how long did it take for Car A to travel 10 meters

Answers

Answer:

isnt it 5 seconds?

its quite blurry but i think its 5

It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.

PLS HELP i will GIVE BRAINLESS)!!!! Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table. a. List the players from worst score to best score. Show your work.SOLUTION b. Check your answer to problem 3a. Show your work. 3 Player Score Brett27 Ellema 21 Felipe 13 Jennifer 0 Kamal 12 Riley25

Answers

Answer:

0,12,13,21,25

Step-by-step explanation:

jennifer-0, kamal-12, felipe -13, ellma-21, riley 25

basically least to greatest order

It’s number 5 what is the domain and range plz help urgent

Answers

Answer:

Domain: -2,-1,0,3 Range: -2,-1,0,3

Step-by-step explanation:

The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)

what's a real number?

Answers

Answer:

Real Numbers are numerical values that can represent distance on a line. An example of it being one is 15 and an example of it NOT being one is ∞.

what is 5÷ 3 1/3 on khan academy

Answers

Answer:

1.5

Step-by-step explanation:

Hope this helped!

-57 = 16 + 5m
What does m=

Answers

Answer:

m = -14.6

Step-by-step explanation:

Given Question:To find the value of m

Given Equation:-57 = 16 + 5m

Solution:

=> -57 = 16 + 5m

=> 16 + 5m = -57

(On subtracting -16 from both sides)

=> 16 + 5m - 16 = -57 - 16

(On Simplification)

=> 5m = - 73

(On dividing both sides with 5)

[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]

(On Simplification)

=> m = -14.6

Hence, required value of m = -14.6 (Ans)

Answer:

_14.6

Step-by-step explanation:

-57 = 16 + 5m

-57 - 16 = 5m

-73 = 5m

÷5] - 14.6 = m

Nb.... M = - 14.6

PLEASE HELP WILL GIVE BRAINLIEST AND 30 POINTS!!!!!

This is an assignment in Algebra 1 discussing growth and decay. Specifically car depreciation. Over the years car's prices go down. I basically had to calculate the percentage of how much this car's price dropped. So I calculated what it dropped every year now I need to do every month but I'm not sure how to do that.

First pic: the annual rate
Second pic: my annual rate calculations/percentages
Third pic: what I have so far for the monthly rate but its all wrong because my calculations don't match up but I think it's close

Answers

Answer:

Step-by-step explanation:

If the price is supposed to be dropping with each year, maybe your year/price chart would reflect that. Seems to me that the price rose between 2015 and 2016 and even by 2017 the value was still higher than it was in 2015.

I have no way of knowing how to fix this.

Let's ASSUME that the 2015 price was $71,445 and that the 2016 and 2017 prices are valid.

the decrease between 2015 and 2016 is (71445 - 68640) / 71445 = 0.03926

or 3.926%

the decrease between 2016 and 2017 is (68640 - 65945)/68640 = 0.03926

or 3.926%

so the price each year after new is

p = 71445(1 - 0.03926)ⁿ

or

71445(0.96074)ⁿ

where n is the number of years.

To get the monthly version, we divide the decrease by 12

p = 71445(1 - 0.03926/12)ˣ

or

p = 71445(1 - 0.00327)ˣ

or

p = 71445(0.99673)ˣ

where x is the number of months since new.

This may not be your exact answer, but the same method can be used if you get real numbers.

The ration of boys to girls in the classroom is 5 to 7 if there are 35 girls then how many boy are there construct a tape diagram to demonstrate

Answers

Answer:

5+7=12-35=-23

Step-by-step explanation:

De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos de tres en tres?

Answers

Answer:

hi

Step-by-step explanation:

1+1=2

If a learner’s permit holder is convicted of committing a moving violation, he/she
A must restart the 9 month waiting period to be eligible for a provisional license.
B must complete the Driver Improvement Program on line
C must wait until he/she is 21 to receive a driver’s license.
D none of the above.

Answers

The answer would be A :)
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