Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point-slope form; y - 2 = 1/2(x + 4)
Step 2: Rewrite
Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4Answer:
y=1/2x+4
Step-by-step explanation:
y-2=1/2(x+4)
(distribute the 1/2)
y-2=1/2x+2
(add 2 to both sides)
y=1/2x+4
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Determine whether y varies directly with x. If so, find the constant of variation k write the equation
Answer:
It varies directly
k = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Table:
x y
7 11
8 13
9 15
10 17
Problem:, determine if y varies directly as x
Solution:
The equation to determine if they vary directly is;
y ∝ x
y = kx
From the table, y varies directly as x. As y increases, x also increases.
To find k, use any convenient value of y and x ;
y = 15 and x = 9;
15 = k x 9
k = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
Amber is making a scale drawing of a movie screen. The actual dimisions of a screen in her local theater are 60 ft wide and 20 ft tall. In her scale drawing, the screen has a width of 9 in. What will the height of the screen on her drawing be? a 2 inches b 6 inches c 3 inches d 10 inches
Answer:
c 3 inchesStep-by-step explanation:
Given the dimension in feet
Width = 60 ft
Height = 20 ft
Given the dimension in inches
Width = 9in
Height = ?
To get the height in inches, we will use the equality postulate:
60 ft = 9in
20ft = x
Cross multiply
60x = 9*20
60x =180
x = 180/60
x = 3in
Hence the height of the screen will be 3inches
There were 5 boys for every 7 girls at Rayville High School last year. If there were 420 students at the school, how many were girls?
Answer:
240
Step-by-step explanation:
Find the equation of the line
Y= __x +__
Answer:
y = 1x - 5
m = 1, b = -5
Step-by-step explanation:
This equation that we are solving form is known as slope intercept form: y = mx + b.
Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.
Which of the following cannot be true about a linear pair of angles?
A linear pair of angles cannot add up to anything other than 180 degrees.
They cannot be complementary because complementary means add up to 90 degrees.
A straight angle measures (5x - 50) degrees. What is the value of x?
Answer:
26
Step-by-step explanation:
180-50=130
130/5=26
I believe.
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 790 lb. How many boxes of books can the delivery person bring up at one time?
The delivery person can bring up
nothing boxes of books.
Answer:
15
Step-by-step explanation
So, since the weight of the delivery person is 160 lbs... and the weight limit of the elevator is 790 lbs... Then you could subtract. If you subtract 790 lbs and 160 lbs you get 630 lbs.
So, this means that 630 lbs of boxes can go in the elevator
Since each box weighs 40 lbs, then you could divide the remaining pounds that could go on the elevator and the weight of each box. If you divide 630 lbs and 40 lbs, then you would get 15.75, but you can't carry a 75th of a box. So you in this circumstance, you would round down 15.75 to 15.
In conclusion, that's how I got my answer of 15
a square living room has an area of 225 square feet what is the perimeter of the room
Answer:
divide it by 4
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
225 divided by 2 is 112.5x4= 450 so 450 is your answer
Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go
Answer:
I believe it is Him.
Step-by-step explanation:
Answer:
B) Him
Step-by-step explanation:
Him refers to someone else, and that is exactly what a pronoun does!
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
expand and simple 3(x-3) - (x-4)
Answer:
Distribute the 3 to the parenthesis, and the -1 to the parenthesis.
This will result to:
3x-9-x+4
2x-5
2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?
Answer:
$224
Step-by-step explanation:
The bike costs $224
From the expression of the problem, we know that she used all her money to buy the bike.
That means;
Allowance money = bike cost
Therefore, the cost of the bike is $224
What is the measure of Z?
what's the question ???
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
Sidewalk = 100ft by 4ft
Brick = 8 inches by 4 inches
Required
Determine the minimum number of bricks
First, we need to determine the area of both;
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Number of bricks is calculated as follows;
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert ft^2 to in^2
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
what is the answer
Answer:
not a function
Step-by-step explanation:
Since the x value of 2 goes to two different y values of 5 and 4, this cannot be a function
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1.69 a square foot, what is the total costs to tile the kitchen?
Answer:
Total Cost of tile = $273.28
Step-by-step explanation:
From the given information:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
Suppose the cost of the tile = $1.69 a square foot.
Then the total costs to tile the kitchen is calculated as follows:
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
6x = 8x - 18
- 2x = - 18
x = 18/2
x = 9
Thus, the width = x = 9 ft
the length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 ft
Area = L × W
Area = (18 × 9)ft
Area = 162 sq. ft.
Cost of a Tile = $1.69 per sq. ft.
Thus;
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28
Answer:
$273.78
Step-by-step explanation:
the other guy is wrong my dude
30 POINTS AND I WILL GIVE BRAINLIEST JUST HELP ME PLZZ I NEED HELP WITH THIS !!
Answer:
$250
Step-by-step explanation:
If they are making 100 burritos, you multiply $1.50 and 100 to get $150, and then $1.00 and 100 to get $100. Add $150 and $100 together to get $250, that is how much it cost to make the burritos. If they sold all 100 burritos, they would gain a profit of $550.
Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.
Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2 you'd do: -3 x 13 and 2 x 13
Step-by-step explanation:
You should not schedule _____ tasks for the same day.
yearly
daily
weekly
monthly
Answer:
B. Daily
Step-by-step explanation:
It makes more sense to put "daily" because of "the same day."
Daily means doing something everyday.
You should not schedule daily tasks for the same day.
Answer:
I just took the test.
It is weekly.
Select the smallest fraction from the following list of fractions.
3/4
2 2/3
3/5
1 1/2
7/8
2/3
if X to the second power is 20, what is the value of X????????? can someone please help meeeeeee
Answer:
[tex] {x}^{2} = \: 20 \\ \sqrt{x \: {}^{2} } = \sqrt{20} \\ x = 4.472135955[/tex]
Answer:
x = 2√5
Step-by-step explanation:
Hi there !
x² = 20
x² = 4×5
x² = 2²×5
x = √2²×5
x = 2√5
Good luck !
It takes Aaron 5 minutes to squeeze the juice from 3 grapefruits. At this rate, how many minutes will it take him to squeeze the juice from 12 grapefruits?
Find the average rate of change over the interval [-4, -1] *
f(x) = x^2?
Answer:
ijbibhibhhhvhj
Step-by-step explanation:
So yeah can anyone help me out be a tone
Answer:
p = -4
Step-by-step explanation:
-3( 2+4p) + 7 = 49
Subtract 7 from each side
-3( 2+4p) + 7 -7= 49-7
-3( 2+4p) = 42
Divide by -3
-3( 2+4p) /-3 = 42/-3
( 2+4p) = -14
Subtract 2 from each side
2+4p-2 = -14-2
4p = -16
Divide by 4
4p/4 = -16/4
p = -4
two in 1 more points
Answer:
Your photo wont show up
Step-by-step explanation:
Answer:
Hello
1. B. 2.35 * 10^11
2. A. 3 * 10^-2
Solve the system of linear equations by graphing.
y=-x+4.
y= 2x – 8
Step-by-step explanation:
suppose,x=1,2 .so y=1+4=5,2+4=6...eq..(I)
and y=2×1-8=-6,y=2*×2-8=-4
now plot in graph where they intercept with each other i.e x and y
I could plot but it's difficult here..and remember u can suppose any point as x for y
After solving the equations for x and y the value of x is 4 and the value of y is 0.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equations in the question,
y = -x + 4 (i)
y = 2x - 8 (ii)
Solve the equation for x and then solve it for y as well,
-x + 4 = 2x - 8
-x -2x = -8 -4
-3x = -12
x = 4
Substitute this in equation (i)
y = -4 + 4
y = 0
Therefore, the points are (4, 0)
To know more about equations:
https://brainly.com/question/10413253
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H e l p? I don't get this
Answer:
2/3 - 1/6 is 3/6
Step-by-step explanation:
why
bc like this
make 2/3 to 4/6
4/6 -1/6 = 3/6
3/6 is half
ez peasy dude
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En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?
Answer:
Creo que eso es cierto también grandes habilidades españolas
Step-by-step explanation: