Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.
The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.
Given :
The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:
Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.
[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]
Step 3 - Simplify the above equation.
[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]
Step 4 - Now, substitute the value of (h = 0) in the above equation.
[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]
Therefore, the correct option is A).
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Answer:
g = 18 – 2h; 18 gallons
Step-by-step explanation:
The answer above is correct.
6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?
Answer:
480 quarts could be made in 12 hours
Rate: 40 quarts per hour
Step-by-step explanation:
Rate: 200/5 = 40 quarts per hour
(40)(12) = 480 quarts
Good morning fellow Brainaics.
Please help me with this question.
Answer:
Veganism :)
Step-by-step explanation:
Step-by-step explanation:
B: Veganism.
but ... how is that mathematics ?
Is (6,7) the same point as (7,6)? Explain
Answer:
no
Step-by-step explanation:
no
Answer:
NO
Step-by-step explanation:
6,7 is a totally different point from 7,6 if you where to graph it 7,6 would be above 6,7 not on the same point.
(9,11)(9,3) find the slope and explain
please
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
11-3/9-9
8/0
0
slope=0
How i can answer this question?
Answer: 3r+8
Step-by-step explanation:
4r-r=3r
and 14-6=8
therefore it would be 3r+8
pleeeeease help meeeeeee
Answer:
y = 5x +7
Step-by-step explanation:
Using the hint, we have ...
y -(-3) = 5(x -(-2)) . . . . . m = 5, (x1, y1) = (-2, -3)
y = 5x +10 -3 . . . . . eliminate parentheses, add -3
y = 5x +7
Angel plans to get his new product into Walmart. If he plans to sell 10,000 units to Walmart at $45 each, but Walmart negotiates a 20% discount, how much revenue has Angel lost compared to his original plan?
Answer:
90,000
Step-by-step explanation:
First you want to know how much money Angel plans to earn so you multiply 10,000 * 45 and that is 450,000. Then you find the 20% discount that Walmart negotiated so you turn 20% into a decimal. 20% as a decimal is 0.20 or 0.2. You then multiply 0.2 * 450,000 to get 90,000 which is the amount Walmart is discounting off. And if you need to find how much Angel is getting after the discount, subtract 90,000 from 450,000! :D I hope this helps!!
Choose two expressions that are equivalent to 5 (3a + 4b).
A. 15a + 4b
B. 15a + 206
C. 5a + 3a + 4b
D. 5a + 10a + b + 3b
E. 10a + 5a + 15b + 5b
Pick two answers
Answer:
B and E
Step-by-step explanation:
I think the choice is wrong. choice B maybe 15a+20b...
5(3a+4b) = 15a+20b (B)
(E) : 10a + 5a + 15b + 5b = 15a+20b
fighting! ✌✌
Answer:
e. 5(3a+4b) = 15a+ 20b = 10a+5a+15b+5b
Find the value of a and b in parallelogram QRST
Answer:
a=7
b=11
Step-by-step explanation:
4a=3a+7
-3a -3a
a=7
2b=b+11
-b -b
b=11
sides parallel from eachother in a parallelogram are equal to eachother.
Please find the equation for this ASAP
Answer:
y=-2x-3
Step-by-step explanation:
the slope is 2/1 going down and the y intercept is -3
The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? (5, 13) (-3, 3) (5, 3) (-3, 13)
BRAINLIEST
Answer:
A. (5, 13)Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)Correct choice is A
Answer:
A. (5, 13)
Step-by-step explanation:
ursula drew a polygon in which all the angels were obtuse. what kind of polygon could she have drawn
Answer: Hexagon
Explanation:
There are n = 6 sides to a hexagon. If we had a regular hexagon, then each exterior angle is E = 360/n = 360/6 = 60 degrees, which means the adjacent interior angle is 180-E = 180-60 = 120.
In short, each interior angle of a regular hexagon is 120 degrees, making each angle obtuse. Other polygons are possible for the answer.
How many 1/6's are in 45/2
LOOKING FOR BRAINIEST?
Photo down below! Will give brainiest to first (and correct) answer!
x = ____
m
m
m
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
13x - 8 + 7x + 4 + 3x = 180 , simplify left side
23x - 4 = 180 ( add 4 to both sides )
23x = 184 ( divide both sides by 23 )
x = 8
The drama club is selling tickets to their play to raise money for the show's expenses:
Each student ticket sells for $5 and each adult ticket sells for $7.50
The auditorium can hold no more than 75 people.
The drama club must make a minimum of $450 from ticket sales to cover the show's costs.
If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see attached
Step-by-step explanation:
The two inequalities you want to plot are ...
x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people
5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs
__
These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.
The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.
On of the points in the potential solution area is shown in the attached graph:
(x, y) = (25, 50) . . . . fills the theater, gives $500 revenue
what label would not be appropriate for volume
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
name all the properties of a square
Answer:
Here :)
Equilateral Polygon,
Convex Polygon,
Cyclic
Isgonal Figure
Istoxal Figure
In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down
Answer:
B. Up
Step-by-step explanation:
If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.
Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.
Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.
The answer to your question is UP.
The diagram shows the floor of a living room. What area of carpet will be needed to cover the floor? Remember to include your units of measure.
By using the given diagram, we want to find the area of carpet needed to cover the floor. We will see that we need 188 ft^2 of carpet to cover the floor.
First, remember that for a rectangle of length L and width W, the area is given as:
[tex]A = W*L[/tex]
Now, if we look at the diagram we can see that the area of the carpet is equivalent to the area of a rectangle of 18ft by 14ft minus the area of two rectangles of 8ft by 4ft.
The area of the first rectangle is:
[tex]A = 18ft*14ft = 252 ft^2[/tex]
The area of each one of the smaller ones is:
[tex]A' = 8ft*4ft = 32 ft^2[/tex]
Then the area that we need for the carpet is:
[tex]A - 2*A' = 252 ft^2 - 2*32 ft^2 = 188 ft^2[/tex]
We need 188ft^2 of carpet to cover the floor.
If you want to learn more about rectangles, you can read:
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The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?
The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
let
number of hours = h
number of computers = c
number of workers = w
h = k × c / w
where,
k = constant of proportionality
h = 10.25
w = 16
c = 40
h = k × c / w
10.25 = k × 40 / 16
cross product
10.25 × 16 = k × 40
164 = 40k
k = 164/40
k = 4.1
If
c = 68
h = 16.40
h = k × c / w
16.40 = 4.1 × 68 / w
cross product
16.40w = 4.1 × 68
16.40w = 278.8
w = 278.8 / 16.40
w = 17 workers
Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
Learn more about ratio:
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Kevin drank
2
3
liter of water Monday before going jogging. He drank
5
7
liter of water after his jog. How much water did Kevin drink altogether? Write your answer as a mixed number.
Answer:
80 Liters
Step-by-step explanation:
23 + 57 = 80
80 = 57 + 23
Please help I don't understand i'm in the lowest class!
Answer:
Step-by-step explanation:
find x .....merry Christmas :)))
The value of x in the triangle is 70°
What is a scalene triangle?A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°
i.e
[tex]\mathbf{\hat x + \hat y + \hat z = 180 ^0}[/tex]
Let's assume that angle y = 60° and angle z = 50°Then;
[tex]\mathbf{\hat x + 60^0 + 50^0 =180^0}[/tex]
x + 110° =180°
x = 180° - 110°
x = 70°
Learn more about scalene triangle here:
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how do i solve use the GCF and the distributive property to express a sum as a product 52 +20+36
Answer: just add them all up add 50+20+36 then you get 106
Step-by-step explan
Help me please ;-;
NO LINKS!!!
A ___________ represents a relationship between two quantities. Select all that apply.
A. Equation
B. Graph
C. Table
D. Function
Answer:
D. Function
Step-by-step explanation:
Function:a relationship or expression involving one or more variables.
"the function (bx + c)"
brainliset
Solve.
p217=−5.3
Enter your answer as a mixed number in simplest form in the box.
p =
Answer: - 11 5/14 or -159/14
Step-by-step explanation:
Multiply both sides by 2 1/7.
Correct me if I am incorrect.
The value of p for the given expression is equal to 11(⁵/₁₄).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is P / 2(¹/₇) =-5.3. the value of p will be calculated as,
P / 2(¹/₇) =-5.3
P = -5.3 x 2(¹/₇)
Solve the equation by changing the mixed fraction to a simple fraction.
P = -5.3 x 15 / 7
P = 159 / 14
P = 11(⁵/₁₄).
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In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave, placing them into three equal groups of six bats. To decide the treatment for each group, the biologist places three slips of paper labeled control, treatment group 1, and treatment group 2 in a hat and randomly selects 2 slips of paper. The first piece of paper gives the treatment for the first group, the second piece of paper gives the treatment for the second group, and the remaining treatment is given to the third group.
Which component is missing from the biologist’s process?
The biologist did not use proper labeling on the pieces of paper.
The biologist did not use the appropriate number of treatment groups.
The biologist did not randomly assign the individual bats to the treatment groups.
The biologist did not randomly choose the weather on the night for bat capture.
Answer:
The biologist did not use proper labeling on the pieces of paper.
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