Eva's family had a 15,000 gallon swimming pool built. They began filling the pool at 8:00a.m. on Saturday. Every fifteen minutes, Eva recorded the number
in the pool. The pool was being filled at a constant rate. The table shows the first 45 minutes of Eva's data.
Gallons
1,000
2,000
3,000
15
30
45
Minutes
At what rate, in gallons per hour, is the swimming pool being filled?
A. 15 gallons per hour
B. 4000 gallons per hour
C. 66.6 gallons per hour
D. 2000 gallons per hour
Answer: 4,000
Step-by-step explanation:
The solution is Option A.
The rate at which the swimming pool is being filled is 66.6 gallons per hour
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of gallons be = y
Let the time taken be = x
The total volume of the pool = 15000 gallons
The pool is filled at constant rate
Now ,
The coordinate data is given as
The value of A = A ( 15 , 1000 )
The value of B = B ( 30 , 2000 )
The value of C = C ( 45 , 3000 )
Now , the rate at which the swimming pool is filled is given by the slope of the points in the line
So , the slope of the 2 points is given by the formula
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2000 - 1000 ) / ( 30 - 15 )
On simplifying the equation , we get
Slope m = 1000 / 15
Slope m = 66.66 gallons per hour
Therefore , the value of A is 66.6 gallons per hour
Hence ,
The rate at which the swimming pool is being filled is given by the slope of the line where slope m = 66.6 gallons per hour
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Will give brainliest!! Please help!!
Brian is playing a game with the spinner shown below. Each section is the same size.
What is the probability that the arrow will land on a number that is divided by 3 if Brian spins it one time?.
Find the indicated term of the arithmetic sequence.
22nd term: a1 = 7; d = 4
The 22nd term of the arithmetic sequence is:
.
Answer:
91
Step-by-step explanation:
a(n) = a +(n-1)d
a(n) = 7+(n-1)4
a(22) = 7+(22-1)4
=91
hope this helps
Madeline sold 200 tickets for a charter flight to Dallas. Some paid $200 for their tickets and some paid
$250. Madeline's revenue for the flight was $44,000. Below is Madeline's work in determining how
many of each ticket was sold.
x = number of $200 tickets
y = number of $250 tickets
200 (200 - 1) + 250y = 44,000
40.000 - + 250y = 44.000
40.000 + 249 y = 44.000
249v = 4.000
200x + 250y = 44.000
X = 200)
y' = 16.1
7
3 Part A
As Madeline was writing "y = 16.1," she realized her answer was not correct. How did
she know?
Answer:
Let x = number of regular tickets sold.
Let y represent the number of student tickets sold.
12x+8y≤100012x+8y≤1000
x+y≥200x+y≥200
12x+8y≤20012x+8y≤200
x+y≤200x+y≤200
12x+8y≥1000
hope this helps
Step-by-step explanation:
A crew of highway workers paved 13 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
Step-by-step explanation:
in one hour if i am correct they will pave 0.928 or 0.930 miles
Maria found a shirt for $18.90, a pair of jeans for $21, and a pair of shorts for $14.25. She bought the shirt and shorts. If she paid with a $50 bill, how much change did she get?
1 point
5) The cost for movie tickets for 10 students was $90. The principal of the
school offered to buy 4 tickets. How much would the principal have to
pay?
Answer:36
Step-by-step explanation:
90/10= 9 9x4=36
the sale price of a 26$ item are a 50% discount
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $119.60 from the 72 wraps sold. How many of the wraps sold were vegetarian
Answer:
vegetarians= 28
chickens= 44
Step-by-step explanation:
let the number of vegetarians be x
and chickens be y
So
x+2.7y=119.6----------1
x+y=72--------------2
from 2, x= 72-y
put x= 72-y in 1
72-y+2.7y=119.6
-y+2.7y=119.6-72
1.7y=47.6
divide both sides by 1.7
y=47.6/1.7
y=28
put y=28 in 1
x+28=72
y= 72-28
y=44
Help Pls And Thank you
Answer:
A
Step-by-step explanation:
Total amount of extra money needed to be raised
= $483.62 -$218.25
= $265.37
Since each student raises the same amount and there are 17 students, $265.37 would be shared equally amongst the 17 students.
Amount of money each student must raise
= $265.37 ÷17
= $15.61
Answer the question in the picture pls WORTH 50 POINTS PLUS BRAINLIEST FOR FIRST CORRECT ANSWER
Answer:
A
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−y+4≥8
Step 2: Subtract 4 from both sides.
−y+4−4≥8−4
−y≥4
Step 3: Divide both sides by -1.
−y
−1
≥
4
−1
y≤−4
Answer:
12
Step-by-step explanation:
| 4-y| ≥8
Separate into two inequalities, one positive and one negative (remembering to flip the inequality)
4-y ≥8 or 4-y≤ -8
Solve
Subtract 4 from all sides
4-y -4 ≥8-4 or 4-y-4≤ -8-4
-y ≥4 or -y≤ -12
Divide each side by -1, remembering to flip the inequality
y ≤-4 or y ≥12
The smallest positive number is 12
You are buying a pair of shoes online. The price of the
shoes is $29.99. You have to pay a shipping fee of 6.5%.
How much will you pay for shipping? (Round to the nearest
cent)
Answer:
Ok so I think I know the answer.
Since there is a 6.5% shipping fee I am pretty sure you have to divide 6.5% of 29.99 which would be 1.94. Hope this Helps!
Answer: $1.94 shipping fee
Step-by-step explanation:
The graph shows the amount of money in Amy's bank account and her spending activity. Does the graph show a proportional relationship?
A. Yes, it is proportional because it has a constant rate of change.
B. No, it is not proportional because it has a constant rate of change.
C. Yes, it is proportional because it has a y-intercept.
D. No, it is not proportional because it has a y-intercept that is not zero.
Answer:
Option A:
Yes, it is proportional because it has a constant rate of change.
Step-by-step explanation:
One trick you can use to easily tell a proportional graph is that it follows a straight line. It does not matter whether the line slopes downwards or upwards. The fact that it is straight and not cured at any point, should hint you that the graph is proportional.
Proportional graphs have a constant rate of change. The value of the slope calculated when using any two (x, y) coordinates are the same for any point along the line.
Tom works for a large food producer, making sure that its seed selection and fertilizer procedures comply with government regulations. Tom is a _____.
foodservice manager
food scientist
USDA food inspector
environmental health practitioner
Answer:
environmental health practitioner
What is the value of x in the equation: 5(6x - 4) = 20 + 4(3 + x)?
Answer:
x = 2
Step-by-step explanation:
5 ( 6x - 4 ) = 20 + 4 ( 3 + x )
30x - 20 = 20 + 12 + 4x
30x - 20 = 32 + 4x
26x = 52
x = 2
What does “m” stand for in the slope formula?
Answer:
Slope = m
Step-by-step explanation:
None
i need some help... Algebra Hw
Answer:
Step-by-step explanation:
2.A
Answer:
1. x = 4, y = 1
Graph: (See the attachment)
Step-by-step explanation:
x + 2y = 6
x - y = 3
x + 2y = 6
x = -2y + 6
x - y = 3
-2y + 6 - y = 3
-3y + 6 = 3
-3y = -3
y = 1
x = -2y + 6
x = -2 ( 1 ) + 6
x = 4
There are two similar triangles in the diagram. Find the unknown measurement.
Answer: x=180
Step-by-step explanation:
360/120=x/60
3=x/60
x=180
By the similarity of triangles the length of the side RS is 180 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in similar triangles the ratio of their corresponding sides are equal.
Given, Are two triangles OPQ and ORS.
Therefore,
OP/PR = PQ/RS.
120/360 = 60/x.
120x = 21600.
12x = 2160.
x = 2160/12.
x = 180.
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in the graph shown below, if lines 1^1 are parallel, then the slope of the line 1^2 is?
Answer:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.Step-by-step explanation:
good morningIf the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change of the function.
b is the intercept, representing the value of y when x = 0.
When two lines are parallel, they have the same slope.
Hence, If the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
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complete question:
In the graph shown below, if lines l 1 l 1 and l 2 l 2 are parallel, then the slope of line l 2 l 2 is
Nine times the sum of a number and 8 is 4.
Answer:
9 x a+8=4 :) <333
Eighth grade > Y.8 Solve two-step equations JXD
Solve for r.
R/4- negative 9.8=10.2
Submit what’s r
After the solution of the two-step equation, we can conclude that R = 5.
What do we mean by two-step equations?A two-step equation is one that must be solved in two steps. First, we must eliminate any constants that are on the same side as the variable. To solve, isolate the variable by itself using inverse operations. Remember that whatever you do to one side must be done to the other.So,
Given: R/4 - 9.8 = 10.2Then,
R/4 - 9.8 = 10.2R/4 - 9.8 + 9.8 = 10.2 + 9.8R/4 = 20R = 20/4R = 5Therefore, the value of R is 5.
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Factor x ²+x-30.
I need help with this question
Answer:
(x-5)(x+6)
Step-by-step explanation:
Answer:
(x-5) (x-6)
Step-by-step explanation:
How to solve your problem
²+x-30
Grouping
Use the sum-product pattern
1 ²x + x -30
²x + 6x - 5x - 30
pls helppp
math work
bleh
Answer:
q = -2
Step-by-step explanation:
when solving 12q >= -24 you get
q >= -2 (12 divides 24 by 2)
therefore q is greater or equal to -2.
What is the answer?
Which angles are congruent to 152˚?
Answer:
A Parallelogram has many important properties:
A parallelogram is a four-sided polygon.
Analyze the image of a parallelogram:
At Alan's auto shop, it takes him minutes to do an oil change and minutes to do a tire change. Let be the number of oil changes he does. Let be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).
Complete question :
At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).
Answer:
9x + 12y < 120
Step-by-step explanation:
Given that:
Time taken for oil change = 9 minutes
Time taken for tire change = 12 minutes
x = number of oil changes ; y = number of tire changes
Total hours = 1 hour = 60 minutes
Number of oil and Tyre changes possible in less than an hour
(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes
9x + 12y < 120
Answer:
9x + 12y < 120
Step-by-step explanation:
PLEASE HELP!!!What are good 3 examples of Geography?WILL GIVE BRAIN!!!
Answer:
The three main types of geography are physical, environmental and human geography. There are other sub-branches of geography such as political geography, historical geography and religious geography.
Physical geography deals with the study of Earth and its structure. The landforms, continents, oceans and tectonic movements are a part of physical geography. The formation of rocks, weathering, forces of erosion, winds, ocean currents and rivers are all studied as a part of physical geography. Environment geography deals specifically with the study of the interaction of plants and animals with Earth. Human geography focuses on how human societies flourish with the help of natural resources. It deals with the study of the evolution of cultures and religious beliefs. Economic, cultural and political geography are sub-branches of human geography.
Step-by-step explanation:
plz mark as brainliest
nicola says there is no difference between the 2 bank accounts whose details are shown in the image. is she correct? explain your answer
bank a= 2% simple interest for 3 years
bank b= 2% compound interest for 3 years
Answer:
yjfjnvvygghvdhjcfubdfjb
If a insect is 0.74 cm long how long will the insect be in centimeters through a microscope.
When seen under a microscope, the length of the will bug is measured in centimeters.
x=74 cm
This is further explained below.
How long will the insect be in centimeters through a microscope.?Generally, The magnification power of a basic microscope is approximately 100.
This implies it amplifies the size of the picture to 100 times of the thing. Making it simpler for the viewer to examine the picture being shown consequently if a little bug is 0.095 cm long it will seem
0.74×100= 74 cm via the microscope.
In conclusion, The length of the will insect is in centimeters through a microscope.
74 cm
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Use the given property to complete the statement
Answer:
Step-by-step explanation:
your answer is A