Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)
The slope of the line represented by this equation is -5/6
Step-by-step explanation:
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
We have,
Equation:
10x + 12y = 240
This can be written in the slope-intercept form.
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
10x + 12y = 240
12y = 240 - 10x
12y = -10x + 240
y = (-10/12)x + 240/12
y = (-5/6)x + 20
Now,
The y-intercept is 20.
This is when x = 0.
And,
The x-intercept is when y = 0.
0 = (-5/6)x + 20
(5/6)x = 20
x = 4 x 6
x = 24
And,
The slope is (-5/6)
Thus,
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
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19. Express 9/4
as a decimal fraction.
Record your answer and fill in the bubbles on your answer document. Be
sure to use the correct place value.
9/4
(8+1)/4
8/4 + 1/4
2 + 0,25
2,25
Kylie has $2.10 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Kylie has.
Answer:
Kylie has 6 Nickels and 18 dimes
Step-by-step explanation:
Variable definitions:
x=the number of nickels
y=the number of dimes
One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:
0.05x + 0.10y = 2.10
Since she has a total of 24 coins, we know x+y must equal 24.
x + y = 24
Write System of Equations:
0.05x + 0.10y = 2.10
x + y = 24
Solve for y in each equation:
0.05x + 0.10y= 2.10 x + y = 24
0.10y = 0.05x + 2.10 y = -x + 24
0.10y = -0.05x + 2.10
0.10 0.10
y = -1/2x + 21
The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:
Kylie has 6 Nickels and 18 dimes
We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.
Finding the system of equations:
First, let's define the variables, we will use:
x = number of nickelsy = number of dimes.We know that there are 24 coins, then:
x + y = 24
We know that the total whort of the coins is $2.10, then:
x*$0.05 + y*$0.10 = $2.10
Then the system of equations is:
x + y = 24
x*$0.05 + y*$0.10 = $2.10
Solving the system of equations.Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:
We can see that the intersection is at the point (6, 18)
So this means that she has:
6 nickels and 18 dimes.
If you want to learn more about systems of equations, you can read:
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1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it
Answer:
See Explanation
Step-by-step explanation:
1.
Given
[tex]y = 6x - 11[/tex]
[tex]-2x - 3y = -7[/tex]
Solve for x and y
In the first equation, we have: [tex]y = 6x - 11[/tex]
Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second
[tex]-2x - 3y = -7[/tex]
[tex]-2x - 3(6x - 11) = -7[/tex]
[tex]-2x - 18x + 33 = -7[/tex]
[tex]-20x+ 33 = -7[/tex]
[tex]-20x= -7-33[/tex]
[tex]-20x= -40[/tex]
Divide through by -1
[tex]20x = 40[/tex]
[tex]x = 40/20[/tex]
[tex]x = 2[/tex]
Recall that:
[tex]y = 6x - 11[/tex]
[tex]y = 6 * 2 - 11[/tex]
[tex]y = 1[/tex]
2,
Given
[tex]-3x - 3y = 3[/tex]
[tex]y = -5x - 17[/tex]
In the second equation, we have: [tex]y = -5x - 17[/tex]
Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation
[tex]-3x - 3y = 3[/tex]
[tex]-3x - 3(-5x - 17) = 3[/tex]
[tex]-3x + 15x + 51 = 3[/tex]
[tex]12x + 51 = 3[/tex]
[tex]12x=3 - 51[/tex]
[tex]12x=-48[/tex]
[tex]x = -48/12[/tex]
[tex]x = -4[/tex]
Recall that: [tex]y = -5x - 17[/tex]
[tex]y = -5 * -4 - 17[/tex]
[tex]y = -3[/tex]
3. Given
[tex]-4x + y = 6[/tex]
[tex]-5x - y = 21[/tex]
Add both equations to eliminate y
[tex]-4x - 5x + y - y = 6 + 21[/tex]
[tex]-9x= 27[/tex]
Solve for x
[tex]x = 27/-9[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]
[tex]-4 * -3 + y = 6[/tex]
[tex]12 + y = 6[/tex]
[tex]y = 6 - 12[/tex]
[tex]y = -6[/tex]
4. Given
[tex]-7x - 2y = -13[/tex]
[tex]x - 2y = 11[/tex]
Make x the subject in the second equation
[tex]x - 2y = 11[/tex]
[tex]x = 11 + 2y[/tex]
Substitute 11 + 2y for x in the first equation
[tex]-7x - 2y = -13[/tex]
[tex]-7 (11 + 2y) - 2y = -13[/tex]
[tex]-77 -14y - 2y = -13[/tex]
[tex]-77 -16y = -13[/tex]
[tex]-16y = -13 + 77[/tex]
[tex]-16y = 64[/tex]
[tex]y = 64/-16[/tex]
[tex]y = -4[/tex]
Substitute -4 for y in [tex]x = 11 + 2y[/tex]
[tex]x = 11 + 2 * -4[/tex]
[tex]x = 11 -8[/tex]
[tex]x = 3[/tex]
5. Given
[tex]-2x + 6y = 6[/tex]
[tex]-7x + 8y = -5[/tex]
Multiply the first equation by 7 and the second by - 2 to eliminate x
The first
[tex]7(-2x + 6y = 6)[/tex]
[tex]-14x + 42y =42[/tex]
The second
[tex]-2(-7x + 8y = -5)[/tex]
[tex]14x - 16y = 10[/tex]
Add the resulting equations
[tex]-14x + 42y =42[/tex]
[tex]14x - 16y = 10[/tex]
------------------------------
[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]
[tex]42y - 16y = 42 + 10[/tex]
[tex]26y = 52[/tex]
Solve for y
[tex]y = 52/26[/tex]
[tex]y = 2[/tex]
Substitute 2 for y in [tex]-2x + 6y = 6[/tex]
[tex]-2x + 6 * 2 = 6[/tex]
[tex]-2x + 12 = 6[/tex]
[tex]-2x = 6 -12[/tex]
[tex]-2x = -6[/tex]
Solve for x
[tex]x = -6/-2[/tex]
[tex]x = 3[/tex]
What is the slope of the line that passes through the points (9,8) and -15,-16)? Write your answer in simplest form.
Answer:
m=1
Step-by-step explanation:
See the attached above.
Good luck :')
Please answer this question for me PLEASE!! Legit answers only!
Fill in the blanks with the correct answer/option
Step 1 answer options
1.variable or constant
2. $294, $150, $175, $450
Step 2 Initial value/y-intercept = /answer options
1. $150, $450, $575, $350
Step 3: Slope intercept form :
y=450x + 575
y=294x + 450
y=150x + 575
y=450x + 150
Answer:
$150, $575, y=150x+575
Step-by-step explanation:
hi! the first answer is $150 because the slope is the change in y values divided by the change in x values.
(1625-1175)/3 = 150
the second answer is $575 because the y-intercept is the y value at x=0. the savings amount increases by 150 every month, so to get to 0, we multiply 150 by 4, which is 600. we subtract this from 1175, which is 575.
the third answer is y=150x+575 because the initial amount (y-intercept) is 575 so it is constant, and it increases by 150 every month (therefore accompanied by a variable).
hope this helps!
4 Underline the digit in tenths place
a) 423.16
b) 5.2
() 235.46
Write −0.48 as a fraction in simplest form.
−0.48=
I would also like an explanation too please! please answer ASAP
Answer:
Answer:
-12/25
Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48
Step-by-step explanation:
14 – 2u = -12
Solve for u
Answer: u=13
Step-by-step explanation:
Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a function?
Yes
No
Answer:
Yes
Step-by-step explanation:
In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.
After w weeks, you have (10w +120) dollars in your bank account, how much money do you have after 5 weeks?
Please help me!!!!
Answer:
$170 (i think)
Step-by-step explanation:
if you have (10w + 120) after w weeks, im thinking you would multiply 10 by 5 for the number of weeks and then add that to 120, which would be 170.
i don't understand this i need help like helppp please
Answer:
[tex]x = 110 \\ (exterio \: angles \: of \: a \: traingle \: sum \: up \: to \: 360)[/tex]
Answer:
x = 110
Step-by-step explanation:
Assuming you require the value of x
The sum of the external angles of a triangle = 360°
The 3 angles shown are external angles.
Subtract the sum of the 2 given angles from 360 for x
x = 360 - (140 + 110) = 360 - 250 = 110
please help for 20 points
The answer will be 5.9°Fahrenheit
The area of a square garden is 81 ft^2 so what is the length of each side
Answer: 9ft
Step-by-step explanation: 9•9 is 81
factorise the following
x²9x+14
Answer: 9x^3+14
use SYMBOLAB
Answer:
(x+2)(x+7)
Step-by-step explanation:
A trick I learned was to write out the factors of 14 or "c", and if two factors add up to that number, then the two factors are the answer.
What is the system of measurement used most often in the United States?
A: customary
B: converted
C: metric
D: similar
Answer:
A: Customary
Step-by-step explanation:
United States customary units (U.S. customary units) are a system of measurements commonly used in the United States since it was formalized in 1832.
the answer is:
A: customary
Yw!!!
What is the solution to -2(8x-4) is less than 2x+5?
Answer:
=−16x+8 for -2(8x-4)
Step-by-step explanation:
What is the solution to -2(8x-4)= -8x
What is the solution to 2x+5= 7x
so that means -2(8x-4) is less than 2x+5.
Answer: x > 1/6
Step-by-step explanation:
-2(8x - 4) < 2x + 5
Distribute:
-16x + 8 < 2x + 5
Subtract 2x from both sides:
-18x + 8 < 5
Subtract 8 from both sides:
-18x < -3
Divide both sides by -18:
x > 3/18 BUT this simplifies to:
x > 1/6
The reason the inequality flipped is because you divided both sides by a negative number.
The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.
Hope this helps!
Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that
models the cost of renting a pedal board for x hours? How can Liam use the equation to find the one-time service
charge?
Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
Step-by-step explanation:
yeah that’s all
The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.
The equation to find the one-time service charge is 93.75 = 17.05x + b
The point-slope form equation is written as:
y = mx + b
Where
m = gradient
b = slope of the line
Liam rented a pedalboard for 5.5 hours and paid a total of $93.75.Therefore, the cost of renting a pedalboard for 1 hour
= $93.75/5.5
= $17.05
a) An equation in a point-slope form that models the cost of renting a pedal board for x hours is written as:y = mx + b
Where
y = Total charge = $93.75
m = Cost of renting a pedalboard per hour = $17.05
x = Number of hours for renting a pedal board
Hence, the equation is given as:
93.75 = 17.05x
b)The equation to find the one-time service charge where the service charge is b is given asHence, the equation is given as:
93.75 = 17.05x + b
Where b = service charge
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-5+(-7), i need to kno the answer
Answer:
12
Step-by-step explanation:
first you add 5+7=12 but, it won't be negative because negative and negative cancel each other out making it positive 12 :)
Plz help on this math question Brainliest To first answer
Answer:
1. Angle 1 congruent to Angle 3, Angle 2 congruent to Angle 4 ( top row last box in answer choices)
2. Reflexive Property of Congruence
3. Angle DGF congruent to Angle DEF
Step-by-step explanation:
Opposite sides of a parallelogram are parallel , so angle 1 ≅ angle 3 and angle 2 ≅ angle 4 because they are alternate interior angles . By the reflexive property of congruence DF ≅ DF . Therefore , △ DGF ≅ △ DEF by the ASA congruence postulate . That means DE ≅GF and DG ≅EF by CPCTC .
Cindy peeled 9 oranges every 24 minutes. At that rate, how many
would she peel in 32 minutes?
Answer:
12
Step-by-step explanation:
9/24 = 0.375 (how many peeled per minute)
0.375 x 32 = 12
Answer:
12 oranges
Step-by-step explanation:
Step 1:
9/24 = x/32 Equation
Step 2:
24x = 288 Multiply
Step 3:
x = 288 ÷ 24 Divide
Answer:
x = 12
Hope This Helps :)
(PLEASE ANSWER!) Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
1. How much does popcorn cost per ounce?
2. How much popcorn can you buy per dollar?
3. Write two different equations that represent this situation. Use p for
ounces of popcorn and c for cost in dollars.
4. Choose one of your equations, and sketch its graph. Be sure to label
the axes.
Answer:
1. 25 cents per ounce
2. 4 ounces.
3. 10x=$2.50 and $2.50x=10
4. I need picture
Step-by-step explanation:
The cost of popcorn per ounce will be $0.25, the amount of popcorn you can buy per dollar will be 4 ounces per dollar, and the equation that represents the cost will be c = 0.25p.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50.
The cost of popcorn per ounce will be
⇒ $2.50 / 10
⇒ $0.25
The amount of popcorn you can buy per dollar will be
⇒ 10 / $2.50
⇒ 4 ounces per dollar
Let p for ounces of popcorn and c for cost in dollars. Then the equation is given as,
c = 0.25p
The graph of the equation is attached below.
More about the linear equation link is given below.
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In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is
Answer:
where is the figure and without figure what to do
157 is 16.6% of what number
157 = .166 x
157/0.166 = x
945.78313253 = x
157 is 16.6% of 945.78313253, which rounds to 946.
The 157 is approximately 16.6% of 945.78313253012 rounded to the nearest decimal place.
To find the number that 157 is 16.6% of, set up the following equation:
16.6% = 0.166 (since percentages expressed as decimals)
0.166 × x = 157
To isolate x, we divide both sides of the equation by 0.166:
x = 157 / 0.166
Simplifying the division:
x ≈ 945.78313253012
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plz help it’s due tomorrow, I need to show work
Answer:
I can't add picture for some reason so u have to read explanation :(
Step-by-step explanation:
First, turn everything into an improper fraction.
you get 11/3 x 9/2 ÷ 5/4
Next, according to PEMDAS, you multiply first and you get
33/2. DIvide that by 5/4 so
33/2 ÷ 5/4
So you get 33/5 or as a mixed fraction, 6 3/5
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box?
Answer:
The expression is;
Number of books = length of box/thickness of book
= 81/2/9 = 81 books
Step-by-step explanation:
Here, we want to determine the number of books that will fit into a box given the length of the book and the box.
The expression that can be used to get the number of books will be;
Number of books = length of box/thickness of book
= 18 divided by 2/9
= 18 * 9/2 = 81 books
Answer:
18 divided by 2/9
Step-by-step explanation:
I hope this helps <3
Helpppppppppppppppp meeeee asap
Answer:
18,27, putting 3 fives instead of 5 3s.
Step-by-step explanation:
How do I solve this?
Answer:
0.66
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5(3)^2÷9
5(9)÷9
45÷9
5
Using PEMDAS to solve :)
Parentesis
Exponents
Multiplication
Division
Addition
Subtraction
If line b is perpendicular to line a, and line c is
perpendicular to line a, what is the slope of line c?
mc=
Answer:
y=x-2.5
Step-by-step explanation:
If it is perpendicular to a, just like b, it has the same slope, but, it has a y-intercept of 2.5, unlike b, which has a y-intercept of 1
Answer:
mc= 1
Step-by-step explanation:
correct on edge 2020
What is the answer?
Answer:
A is parallel to B
Step-by-step explanation:
This means that the two lines will never touch
The sum of t and 7 is less than -3
if your asking for the equation, it's t + 7 < 3
Answer:
t+7<3
Step-by-step explanation:
kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)