NEED ASAP!!!!!
The graph shows a school's profit for selling lunches
on pizza day. What is the cost for selling 100
lunches? You must show your work.
Answer:
The cost for selling 100 lunches is 150 dollars.
Step-by-step explanation:
First, consider the equation: y = mx + b
y in this case is the profit in dollars (what' on the y axis) x in this case is the number of lunches sold (x- axis), m is the slope.
How do we calculate the slope of a graph? we take two points from the graph, let's say, (65,45) and (20,-90)
the formula for finding the slope is:
[tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1} \\\\[/tex]
where (x1, y1) is coordinates of first point in the line
where (x2, y2) is coordinates of second point in the line
[tex]\frac{45-(-90)}{65-20} = 3[/tex]
m = 3
y = 3x + b
now we need to find b. We just insert one point of your choice from the grpah, let's choose (50,0) now plug them in out newfound equation (y = 3x + b)
0 = 3(50) + b
find b using algebra:
0 = 150 + b
b = -150
Yay! we found b, now we have the equation y = 3x - 150
(by the way I just noticed you can find b from the graph, the point that touches the y-axis is b)
now we are told to find the cost for selling 100, we need to plug in 100 instead of x in our equation.
y = 3(100) - 150 = 150
therefore the cost is 150 dollars.
hope this helps, tell me if you misunderstood something.
Solve each pair of simultaneous equations.
A)4x+y=9
2x -y =3
B) x-y = 1
10x+y=21
C) 6x - 2y =4
3x + 2y =-4
D) 2x - 3y = -6
-2 +4y =8
E) x-5y = -32
2x + 5y =26
Answer:
I solved the first question. Hope this helped you and can solve other by yourself.
Find the volume of the composite solid. Round your answer to the nearest tenth.
16 ft
6 ft
4 ft
The volume is about
cubic feet.
The volume of the composite solid is 4823.04 ft³.
Wha is volume?Volume is the amount of space or the capacity of a solid shape.
To find the volume of the composite solid, we use the formula below.
Formula:
The volume of the composite solid = Volume of the cone + volume of the cylinder.
V = πr²H+πr²h/3Where:
V = Volume of the composite solidr = Radius of the base of cylinder/ the base of the coneH = Height of the cylinderh = Height of the coneπ = PieFrom the question,
Given:
r = 16 ftH = 4 fth = 6 ftπ = 3.14Substitute these values into equation 1
V = 3.14(16²)(4)+3.14(16²)(6)/3V = 3215.36+1607.68V = 4823. 04 ft³Hence, The volume of the composite solid is 4823.04 ft³.
Learn more about volume here: brainly.com/question/1972490
Tiana bought 3 video games that each cost
the same amount. The tax on each video
game was $1.29. She paid a total of $68.37
after tax. What was the price of each video
game, before tax?
a
well, we know she paid a total after tax of $68.37, we also know that each game had a tax of $1.29, so 3 games that'll be 3 * 1.29 = 3.87.
so if we take out the tax from 68.37, that'll be 68.37 - 3.87 = 65 bucks.
we know each game cost the same amount so 65 ÷ 3 ≈ 21.67 before tax.
Tiana bought 3 video games at a cost of $22.36 each, before tax. The total amount paid after tax was $68.37.
Given that,
Tiana bought 3 video games.
The cost of each video game was the same.
The tax on each video game was $1.29.
Tiana paid a total of $68.37 after tax.
To find the price of each video game before tax,
Start by subtracting the total tax from the total amount paid.
Tiana paid a total of $68.37 after tax and the tax on each video game was $1.29.
So, subtract the tax from the total amount to get the price before tax.
$68.37 - $1.29 = $67.08.
Since Tiana bought 3 video games,
Divide the total price before tax by 3 to find the price of each video game.
$67.08 ÷ 3 = $22.36.
Hence, the price of each video game before tax was $22.36.
To learn more about subtraction visit:
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Which of the following is an expression
A. 7x = 4
B. 7 = x = 4
C. 7 - x
D. 7n - 3 = 32
Answer:
c 7-x
Step-by-step explanation:
45+40+45=55+60+90+30+55+35+60+45+75
Answer:
635
Step-by-step explanation:
Answer:
45+40+45=55+60+90+30+55+35+60+45+75
Step-by-step explanation:
Its 505
Without drawing the graph, find the coordinates of its intersection with the
x - and y -axes.
y = −2.4x +9.6
The intersection with the x − axis is the point with coordinates ( _,_ ).
The intersection with the y − axis is the point with coordinates(_,_)
Answer:
at X axis, Y=0 and at Y axis, X=0
accordingly substitute the value in the equation and find coordinates
Answer:
The intersection with the x-axis is the point with coordinates (4, 0)
The intersection with the y-axis is the point with coordinates (0, 9.6)
Step-by-step explanation:
The line intercepts (crosses) the x-axis when y = 0.
Therefore, substitute y = 0 into the equation and solve for x:
⇒ −2.4x + 9.6 = 0
⇒ −2.4x = -9.6
⇒ x = -9.6 ÷ −2.4
⇒ x = 4
So, the intersection with the x-axis is the point with coordinates (4, 0)
The line intercepts (crosses) the y-axis when x = 0.
Therefore, substitute x = 0 into the equation and solve for y:
⇒ y = −2.4(0) + 9.6
⇒ y = 9.6
So, the intersection with the y-axis is the point with coordinates (0, 9.6)
HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
If the nth term of an ap is n-12 find the sum of its first 25 terms
The nth term Tn = n - 12 illustrates an arithmetic progression
The sum of the first 25 terms is 25
How to determine the sum of the terms?The nth term is given as:
Tn = n - 12
Calculate the first term
a = 1 - 12
a = -11
Calculate the second term
T2 = 2 - 12
T2 = -10
Calculate the common difference (d)
d = T2 - a
d = -10 + 11
d = 1
The sum of n terms is then calculated as:
Sn = n/2(2a + (n - 1) * d)
So, we have:
S25 = 25/2(-2 * 11 + (25 - 1) * 1)
Evaluate
S25 = 25
Hence, the sum of the first 25 terms is 25
Read more about arithmetic progression at:
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A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is it?
help pls
Answer:
it is A Scalene Triangle
GEOMETRY HELP MEEE D:!!!
Answer:
The answer for the x would be 20.25 ft.
Step-by-step explanation:
Check the underlined writing for the 2nd easier and more efficient method
The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.
Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.
If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9
Which means that they both have the same scale
Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.
2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.
Hope this helps!
Write the equation of a line that is parallel to 2x -5y = 15 and goes through the point (1,4).
Answer:
(y-4) = 2(X+1)
Step-by-step explanation:
The given eqaution is; y = 2x-5.......(i)
Now; the equation is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the equation of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write up here. But if you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
A shoe factory produces 1. 81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years. (There are 1. 2 × 102 months in 10 years. ) 1. Estimate each coefficient: 1. 81 ≈ 2 1. 2 ≈ 1 2. Write the product: (2 × 104)(1 × 102) The shoe factory would make approximately ×106 pairs of shoes in 10 years.
Answer:
w
Step-by-step explanation:
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.
Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.
There are 1.2 × 10² months in 10 years.
1.81 ≈ 2 and 1.2 ≈ 1
The number of shoes in 10 years will be
→ (2 × 10⁴)(1 × 10²)
→ 2 × 10⁶
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
More about the multiplication link is given below.
https://brainly.com/question/19943359
If f(x) = 2:3 +3 – 3 and g(x) = 22 + 2x, then what is (f + g)(x)?
Answer:
28+2x
Step-by-step explanation:
simplificar la expresión.
find the number that makes the ratio equivalent to 3:8 6:_
Answer:
6:16
Step-by-step explanation:
To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.
18x3 + 6x2y - 9x2 - 3xy
factor completely
Answer:
[tex]\sf 3x(3x+y)(2x-1)[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf 18x^3 + 6x^2y - 9x^2 - 3xy[/tex]
Factor out common term [tex]\sf 3x[/tex]:
[tex]\sf \implies 3x(6x^2 + 2xy - 3x - y)[/tex]
Factor [tex]\sf (6x^2 + 2xy - 3x - y)[/tex]
Rearrange:
[tex]\sf \implies 6x^2 - 3x+ 2xy - y[/tex]
Factor pairs of terms:
[tex]\sf \implies 3x(2x-1)+ y(2x - 1)[/tex]
Factor out common term (2x - 1):
[tex]\sf \implies (3x+y)(2x-1)[/tex]
Final solution:
[tex]\sf \implies 3x(3x+y)(2x-1)[/tex]
Answer:
6x2y(3xy2 − 1)
Step-by-step explanation:
i got it right on my quiz :D
HELP PLEASE WILL GIVE BRAINLISET
Answer:
300 calories
Explanation:
ran total : 11,775 feetperimeter of circle : 2 π rHere radius:
diameter/2150/275 ftperimeter of track = 2 π r = 2 (3.14) (75) = 471 ft
total laps ran:
11,775/47125 lapsSo calories burnt:
25* 12300 caloriesAnswer:
300 calories
Step-by-step explanation:
Circumference of a circle = πd
(where d is the diameter)
Given:
d = 150 ftπ = 3.14Substitute the given values into the formula to find the circumference (length of one lap):
⇒ Circumference = 3.14 × 150 = 471 ft
Given:
Total distance run = 11,775 ft⇒ Total laps = total distance run ÷ circumference
= 11775 ÷ 471
= 25
Given:
Calories burnt per lap = 12⇒ Total calories burnt = total number of laps × cal burnt per lap
= 25 × 12
= 300 calories
Find X.
A. 32
B. 8
C. 16
D. 24
Answer: D
Step-by-step explanation:
six times three added to seven
pa answerr-,-
Answer:
25 :) hope this helps you
:v
What is 10.66 to the nearest 10th of an inch?
Answer:
10.7
Step-by-step explanation:
the tenth place is the first number that comes after the decimal so, that is the number you are rounding. We take a look following that number and it it is equal to or greater than 5, (which it is), we round up one number.
Answer:
10.7
Step-by-step explanation:
Any number between 1-4 rounds down and 5-9 rounds up, so here you will round up. I've included the decimal places as well below. The number after the decimal point is the tenth's place.
Good luck! Hope this helps
What is the measure of angle b?
Answer:
b=133 and c=47
Step-by-step explanation:
b+47=180
b=180-47=133
b=133
and
c=b+133=180
c=180-133=47
c=47
The (period,amplitude,frequence) of y=1/4cos1/2x is 4pie.
one of these is the answer need help
Answer:
period
Step-by-step explanation:
The attached graph shows a period of the function. Its amplitude is 1/4 (vertical distance from centerline to peak). Its period is 4π (horizontal distance from peak to peak). Its frequency is the reciprocal of the period, so would be 1/(4π).
The value 4π is the period of the function.
find the area of the trapezoid
Answer:
the answer is 8
Step-by-step explanation:
it is 8 because if you 2x2 = 4 then + 4 more equal 8. ( or just count the area )
Given the side lengths, determine if the triangle is acute, obtuse, right, or not a triangle. 3.4, 3.3, 2.4
Rachel deposited $10 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
The amount that Rachel would have in her account after 3 years with annual compounding is $11.58.
What would be the worth of the account in 3 years?When interest is compounded annually, it means both the amout deposited and the interest already accrued increases in value once a year.
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$10 x (1.05)^3 = $11.58
To learn more about future value, please check: https://brainly.com/question/18760477
Answer:
1.58
Step-by-step explanation:
its right
Line c has a slope of -9/2. line d is parallel to like c. what is the slope of line d?
Step-by-step explanation:
parallel lines have equal slopes
therefore,
line d will have slope -9/2
MARK ME AS BRAINLISTWhat is the measure of angle x?
Enter your answer in the box
Answer:
x = 83°Step-by-step explanation:
There are 6 angles, 3 pairs of vertical angles that sum to 360°.
Set below equation and solve for x:
2(41° + 56° + x) = 360°97° + x = 180°x = 180° - 97°x = 83°Opposite angles are equal and linear pairs are supplementary
x+56+41=180x+97=180x=180-97x=83°A cone has a volume 8pie cubic inches. And 6in height
What is the radius of the cone?
inches
Answer:
r=1.3in
Step-by-step
hope this helps:)
Identify the initial amount in the following exponential function: y = 2.3(1.32)