Answer:
The answer would be D.
Step-by-step explanation:
Which graph displays a directly proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line passing through the origin.
The only straight line graph passing through the origin is the top one
The graph on option A displays a proportional relationship.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line on the graph is given as:
y = mx + c ____(1)
The graph on option A.
If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.
We will select two points on the graph.
i.e
(2, 2) = (a, b) and (3.3) = (c, d)
Slope:
m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1
Let (2, 2) = (x, y) and putting in (1) we get,
2 = 1 x 2 + c
2 = 2 + c
c = 2 - 2 = 0
c = 0
The slope of the line is 1
The equation of the line is y = x
Thus,
The graph displays a proportional relationship.
Option A is the correct answer.
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Find the x and y intercept of the following equation. 10x - 3y = 9
Answer:
x-intercept= ( 0.9, 0)
y-intercept= (0,-3)
Step-by-step explanation:
Graph out the equation and look for the x and y intercept.
590 ÷ 5 with the remainder of what
Answer:
118 r0
Step-by-step explanation:
590/5=118
there is no remainder
hope this helps :3
if it did pls mark brainliest
PLEASE HELP ME I AM PAYING 100 POINTS!!
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
1. One way to calculate the total tax is 0.05(50 + 40). Use the order of operations to evaluate this expression. Show your work.
Write your answer in the space below.
2. Use the distributive property to expand 0.05(50 + 40).
Write your answer in the space below.
3. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
Write your answer in the space below.
4. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?
Write your answer in the space below.
Answer:
1. 0.05x90
2. 4.5
Step-by-step explanation:
1. 0.05(50+40)
50+40=90
0.05x90
2. 0.05(50)+0.05(40)
0.05x50= 2.5
0.05x40= 2
2.5+2= 4.5
That all i could do sorry but I hope this helps
Answer:
1. 0.05x90
Step-by-step explanation:
Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]
To make this easier, to get ride of the fractions, we can multiply both sides by 4
[tex]2(x+15) = 8 + 3(x-4)[/tex]
now use the distributive property
[tex]2x + 30 = 8 + 3x - 12\\[/tex]
now we want to isolate x to one side and isolate all the constants to the other
[tex]2x - 3x = 8 - 12 - 30\\[/tex]
now simplify
[tex]-x = -34\\x = 34[/tex]
to test, we can plug in back to the original
[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]
it works
a force of 10 newtons act in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
A. 2.59 joules
B. 3.88 joules
C. 38.82 joules
D. 150.00 joules
Answer:
C
Step-by-step explanation:
i think
The required work done is 38.82 joules.
Work done to be determine for force of 10 newton on angle of 75° for 15 meters.
Work done is define as the force required to move an object by some displacement.
Here, work done = force x displacement x cosФ
= 10 x 15 x cos75°
= 150 x 0.25
= 38.82 joules
Thus, the required work done is 38.82 joules.
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Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -9 2 -13 3 -17 4 -21
Answer:
3
Step-by-step explanation:
The linear function or equation in the slope-intercept form will be y = -4x - 5.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
The linear function is given as,
y = mx + c
Here, m is the slope while c is the y-intercept.
Slope m = (-13 + 9)/(2 - 1)
m = -4
Put m = -4, (1,-9)
-9 = -4(1) + c
c = -5
y = -4x - 5
Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".
For more about the linear function,
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Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?
Answer:
We expect 900 students to borrow library books
Step-by-step explanation:
Proportions
If two variables are proportional, then one of them can be obtained as the other times a fixed number.
If x and y are proportional, then:
y=k.x
Where k is the constant of proportionality
The value of k can be obtained by dividing y/x.
That division, also called ratio gives us the proportion to be applied to future calculations.
In Sophia's class, 3 out of 4 students borrowed library books.
This gives us a proportion ratio of 3/4.
If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have
3 / 4 * 1200 = 900 students borrowing library books.
We expect 900 students to borrow library books
Distribute the expression. 2(8^2−5+11)
Answer:140
Step-by-step explanation:
Answer:multiply the 2 to the # in the () then boom done
Step-by-step explanation:
Is this function linear or nonlinear?
Answer:
nonlinear
Step-by-step explanation:
sorry if im wrong
Answer:
Linear
Have a great day! :)
PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 3 and 4 are true or false and explain why the statements are true or false
Answer:
3- False, 4- TrueStep-by-step explanation:
Garden ARectangle with sides
Width ⇒ 2x - 3 feetLength ⇒ 5(2x - 3) = 10x - 15Perimeter is
2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36Garden BTriangle with sides
5x + 5, 4x + 2, 8x - 8Perimeter is
5x + 5 + 4x + 2 + 8x - 8 = 17x - 1Statement 3The difference in perimeters is the difference is fencing:
24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35Since it is different from 7x - 37 the statement is FALSE
Statement 4Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
So the perimeter is going to be:
24x - 36 + 20 = 24x - 16This statement is TRUE
I need help with this prob
Can you show me the answers step by step please?
Answer:
3490
Step-by-step explanation:
pls help!!!!!!!!!!!!
Answer:
The answer on the right bottom
Step-by-step explanation:
3/4 × 1/2 = 3/8
None of them have 3 shaded but the right bottom
Therefore that'd be your answer
Answer:
bottom right
Step-by-step explanation:
In order to know the answer, you have to find the product of [tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex].
Multiply both numerators and denominators in order to get the answer.
[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] (this is the lowest term already)
If you check among the choices, it is only the bottom right choice that shows correct shading of the fraction. The diagram divides the right side into 4 equal parts. If you divide the left side into 4 equal parts like this, you'll surely get 8 equal parts of the total diagram. This represents the denominator, 8. The shaded portion represents the numerator, 3.
There are 515 students who attend central middle school. Three out of every 5 students live within 1 mile of the school. How many students at central middle school live within 1 mile of the school?
Answer:
103 students live 1 mile away from the school.
Step-by-step explanation:
First dicide what the problem is really asking you then you end up getting divisoin them divide 515/3.
What is the value of v? Please provide an explanation, thanks!
Answer:
13
Step-by-step explanation:
(180-(11v+15)+9v-8+6v-9=180
4v+148=180
4v=52
v=52/4
=13°
pleas help will mark brainlest the choices are at the bottom
Answer:
1. x is greater than -1
2. x is less than or equal to -1
3. x greater than or equal to -1
4. x is less than -1
Step-by-step explanation:
The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line
You should join my zoom call
What is 36 x 36
A. 1296
B. 1256
C. 1298
D. 1301
Answer:
A.1296
Step-by-step explanation:
Answer:
A. 1296
Step-by-step explanation:
36 x 36 = 1296
I put it into a calculator..
2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65
Answer:
Associative Property
Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers
How do you divide mixed fractions
Answer:
See my explanation below.
Step-by-step explanation:
Let's start with two random mixed numbers.
[tex]4\frac{3}{5}[/tex] ÷ [tex]5\frac{1}{4}[/tex]
The first step is starting with [tex]4\frac{3}{5}[/tex]. Think about going from the denominator to the number on the left. After you remember that rule multiply 4 by 5. You should get 20. After that, you add by the numerator. 20 + 3=23
This is how it would be written.
[tex]\frac{23}{5}[/tex]
Do the same for the next mixed number. 5 x 4 = 20 and add by the numerator 21.
[tex]\frac{21}{4}[/tex]
After this is done. You will multiply by those fractions. [tex]\frac{23}{5}[/tex] x [tex]\frac{21}{4}[/tex] = [tex]\frac{483}{20}[/tex] we would write it as [tex]24\frac{3}{20}[/tex] as a mixed fraction.
I hope this helps!
PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
(−5, 5)
(0, 3)
(0, −2)
(1, 1)
(3, −4)
Answer:
(0,-2) and (1,1)
Step-by-step explanation:
The solution points at the intersection of what is above the orange line and belothe blue line.
(-5, 5) is only in the orange zone so X
(0,3) is on the blue line that is doted so X
(0,-2) is on the orange line that is solid so ✅
(1,1) is in the orange and blue so ✅
(3,-4) is in the blue zone only so X
Answer:
hoi
Step-by-step explanation:
You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60
Answer:
C
Step-by-step explanation:
22.00*0.08=1.76
22.00+1.76 = 23.76
Answer:
c
Step-by-step explanation:
22*0.08=1.76
the total would be the cost plus tax
22+1.76=23.76
hope this helps :3
Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)
Answer:
y = 1/4 x - 31/4
Step-by-step explanation:
Slope (m) = 1/4
Point A (-1, -8)
y = mx + b
-8 = 1/4 (-1) + b
-8 + 1/4 = b
b = -32/4 + 1/4
b = -31/4
y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in
y = 1/4 x + - 31/4
y = 1/4 x - 31/4
pls help.............
Answer:
its c i think
Step-by-step explanation:
flip it around to where the right angles are in the same spot
Calculate the simple interest on $700 left in account that pays 8% annual interest for 6 years.
See attachment for math work and answer.
On the Guardian lines a and B
Answer:
2 and - 1
Step-by-step explanation:
Calculate the gradients using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A
[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B
[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4
Answer:
653
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
2/3y + 3/4 = 8/9
help
Answer:
y = 5/24
Step-by-step explanation:
2/3 = 24/36
3/4 = 27/36
8/9 = 32/36
32-27 = 5
5/36 / 2/3 = 15/72 = 5/24
Answer:y=5/13
Step-by-step explanation:
8/9-3/4 is 5/36
divide by 2/3 is
Which equation is equivalent to y – 6 = –12(x + 4)?
A. y = –6x – 48
B. y = 6x – 48
C. y = –12x – 42
D. y = –12x – 54
Answer:
Y-6 = -12 (x+4) Y = -12x - 48 + 6 Y = -12x - 42 answer is c
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[tex]y - 6 = - 12(x + 4)[/tex]
[tex]y - 6 = - 12x - 48[/tex]
Add sides 6
[tex]y - 6 + 6 = - 12x - 48 + 6[/tex]
[tex]y = - 12x - 42[/tex]
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The correct answer is (( C )) .
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