2. The equation of the line graphed below could be which of the following?
(1) y=-2x+7
(2) y = 4x+3
(3) y=1/2x-6
(4) y=3/2x-1
Roberto wants to raise money for new equipment by selling T-shirts. He pays $5.00 for each T-shirt and needs to raise $450. If 75 students order T-Shirts, by what percent must roberto markup the T-shirts to raise $450?
Answer: Mark up percent = 20%
Step-by-step explanation:
Given: Cost price of each T-shirt = $5.00
Amount required = $450
Total students = 75
Market price for each T-shirt to raise the required amount = (Amount required ) ÷ 75
= $450 ÷ 75
= $ 6
Mark up percent = [tex]\dfrac{\text{Market price - Cost price}}{\text{Cost price}}\times100[/tex]
[tex]=\dfrac{6-5}{5}\times100\\\\=20\%[/tex]
Hence, Mark up percent = 20%
An artist wants to make an elliptical sign out of a rectangular piece of wood. The wood piece has a length of 60 inches and a width of 40 inches. The artist wants to make the largest elliptical piece possible from the wood.
Answer:
Step-by-step explanation:
The question doesn't seem complete, but the question is likely to ask for 2 things: the equation of the ellipse and it's foci. So I'll respond to that. Also, the ellipse will be at the center since the artist wants the largest.
Firstly, the equation of an ellipse at the center is given by:
(x²/a²) + (y²/b²) = 1 where a > b.
Since the artist wants to make the largest ellipse, then the length of the rectangle will be the length of the ellipse, same applies to the width.
Since the length is 60, then a = 60/2 = 30
Since the width is 40, then b = 40/2 = 20
Therefore, the equation of the ellipse is:
(x²/30²) + (y²/20²) = 1
To find the foci we need to know the center and this can be gotten by
c² = a² – b²
c² = 30² – 20² = (30 + 20)(30 – 20) = (50)(10) = 500
c = √(500) = 10√(5).
The foci, since it's at th center would be:
(–10√(5), 0) and (+10√(5), 0)
The largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)
What is the equation of ellipse if its major and minor axis are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]
For this case, as we have rectangular piece of board the maximum ellipse will have it's major axis of length 60 inches, and of minor axis as 40 inches.
Thus, we have:
[tex]a = 60/2 = 30\: \rm inches\\b = 40/2 = 20 \: inches[/tex]
Thus, if the rectangle is placed such that the major axis is on x-axis, and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{30^2} + \dfrac{y^2}{20^2} = 1\\\\\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex]
Thus, the largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)
Learn more about ellipse here:
https://brainly.com/question/16868628
You and your 4 friends are buying tickets for a concert. The cost to buy one ticket is c dollars. If you buy all the tickets together, there is a discount and the cost is (5c-12.5) dollars. How much do you save per ticket when you buy the tickets together?
Answer:
$2.50
Step-by-step explanation:
The total amount of money saved will be 50 - 16c
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are 4 friends who are buying tickets for a concert. The cost to buy one ticket is c dollars. If you buy all the tickets together, there is a discount and the cost is (5c - 12.5) dollars.
When buyed separately, the total cost = $4c
When bought together, the total cost = $4(5c - 12.5)
Money saved = 4c - 4(5c - 12.5) = 4c - 20c + 50 = 50 - 16c
Therefore, the total amount of money saved will be 50 - 16c
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
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100 POINTS HELP PLEASE ONE HUNDRED POINTSSS identify each measurement as a diameter, radius, or circumference of the circular object that estimate the other two measurements of the circle
1. The length of the minute hand on a clock is 5 inches
2. The distance across hey sink drain is 3.8 cm
3 The tires on a mining truck are 14 feet tall
4. The fence around a circular pool is 75 feet long.
Answer:
1. 15.708
2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.
The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!
Step-by-step explanation:
Which math expression means "the product of 16 and 26"?
Answer:
A. 16 x 26
Step-by-step explanation:
Pruduct means the answer to a multiplaction problem.
Answer:
The answer is A
Step-by-step explanation:
The product means it's a multiplication
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You can think of BF in 3 equal parts. 2 parts belong to BH and 1 part goes to HF
3x = 24
x = 24/3
x = 8
BH is twice as long as FH
BH = 2*8 = 16
is 379,098 divisible by 9
[tex]\huge\sf\bigstar\underline{\underline\pink{Answer:-}}[/tex]
Yes, The number 379,098 is divisible by 9
As, the divisibility rule of 9 is sum of all digits is divisible by 9.
Here, 3+7+9+0+9+8
[tex]\orange\Rightarrow[/tex] 36
36 I'd divisible by 9.
[tex]\therefore[/tex] 397,098 is divisible by 9.
give me the answer pleaseeeeeeeeeeeeeeerreeeeeeee
Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Bob's snake? Which equation would NOT solve this problem?
Answer:
The length of Bob's snake = x = 80 inches
The length of Mary's snake = y = 30 inches
Step-by-step explanation:
Let the length of Bob's snake = x
the length of Mary's snake = y
From the above question:
Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake.
x = 3 × y - 10
x = 3y - 10
If both their snakes laid together end to end measure 110 inches, how long is Bob's snake?
x + y = 110 inches
Substance 3y - 10 for x
3y - 10 + y = 110
Add 10 to both sides of the Equation
3y + y -10 + 10 = 110 + 10
4y = 120
y = 120/4
y = 30 inches
x + y = 110 inches
x + 30 inches = 110 inches
x = 110 inches - 30 inches
x = 80 inches
can someone help me ? ☝️
What is true about the relationship between miles and gallons?
Hurryyyy I’m giving brainliest
Solve for n.
n/3=6
Answer:
n = 18
Step-by-step explanation:
Multiply each side by 3 to cancel out the 3 under n. It should now look like this: n = 18I hope this helps!
I’ll give you brainlest if you answer this correctly
Answer:
y = -5x
Step-by-step explanation:
A direction variation equation is of the form
y = kx
The only equation of this form is
y = -5x where the constant of variation is -5
Please help me for brainest
Answer:
It’s 8.8 so just leave it in that order
Step-by-step explanation:
Answer:8.8
Step-by-step explanation:
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77. How much was the tip in dollars? [ Select ] How much was the tip as a percentage of the bill
Answer: 18.5% of the bill.
Step-by-step explanation:
Since the bill was 42 dollars while the total amount was 49.77, we need to subtract 42 by 49.77.
49.77 - 42 = 7.77.
So the tip was $7.77.
But then we also have to find the tip as a percentage.
So we should do 7.77 divided by 42, because 42 is the original amount.
7.77 ÷ 42 = 0.185, but as a percent you have to move to the left two places. So the decimal is 18.5.
In conclusion, the tip was 18.5% of the bill.
Hope this helps!
Chrissy ate 10% of the Christmas cookies. If she ate 6 cookies, how many Christmas cookies were left?
Answer:
If Chrissy eats 6 cookies so 54 cokies are left. .
Step-by-step explanation:
1
What is the solution to the system of linear equations graphed here?
A (0,2)
B (-2,-4)
C) No Solution
D) (-2,2)
Answer:
The solution is (-2,2)
Answer:
A) (0,2)
Step-by-step explanation:
0.2A^{1-1}
0.2A^{0} .
0.2\times 1
=0.2
Which graph represents the solution set of the inequality x+2>6?
Answer: 2 to last
Step-by-step explanation:
3) A hat's price was increased by 25%. If the original price was $12.00. How
much will I pay for the hat? *
Answer:
15 dollers
Step-by-step explanation:
Answer:
$15
The difference is 3 dollars
Erica is hiking down a mountain. She descends at a rate of 36 feet per hour. She began the descent at 10 a.M. And finished at 6 p.M. What was her change in elevation after two hours?
Answer:
72 feet
Step-by-step explanation:
Given that:
The speed of Erica while descending down the mountain = 36 feet per hour
Time at which the descent was started = 10 AM
Time at which the descent was finished = 6 PM
To find:
The change in elevation after two hours ?
Solution:
First of all, let us learn about the relation between speed, distance and time.
The formula between speed, distance and time is given as:
[tex]Speed = \dfrac{Distance }{Time}[/tex]
Here, we are given that:
Speed = 36 feet per hour
Time = 2 hours
We have to find the Distance now.
Putting the given values:
[tex]36 = \dfrac{Distance}{2}\\\Rightarrow Distance = 36 \times 2\\\Rightarrow Distance = \bold{72\ feet}[/tex]
Change in elevation = 72 feet
5X + 2 = 12 two step eqation can someone help
Write an equation in slope intercept form for the line that passes through (-3,-1) and
is parallel to the line that passes through (3,3) and (0,6)
Step-by-step explanation:
The equation is y = -x - 4.
6x2 - 19x + 15
Helpp
Answer: -19+27
Step-by-step explanation:
Is this a function or not, if so why? Also, please so ur work!
Answer:
Step-by-step explanation:
It's a function because no x value has two y values.
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Number of Games Played
20%
20%
20%
20%
20%
16
18
20
24
Answer:
I think the answer is 20
Answer:
C: 20
Step-by-step explanation:
Determine the domain of the following graph:.....
Domain: possible x values
Between -10 and 6
Solution: -10 < x < 6
Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last month, your bill was $29.50. a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.
Answer:
T = $19.50 + $0.25(m - 200)
Step-by-step explanation:
Using the information provided we can create the following equation. This equation subtracts 200 from the total number of minutes and multiplies this by the cost per minute. Then it adds the fixed cost for the initial 200 minutes to get the total of the bill (T).
T = $19.50 + $0.25(m - 200)
Now that we have the equation we can plug-in you total for last month's bill and solve for m to calculate how many minutes you used last month.
$29.50 = $19.50 + $0.25(m - 200) ... distribute 0.25
$29.50 = $19.50 + $0.25m - 50 ... combine like terms
$29.50 = $0.25m - $30.5 ... add 30.5 on both sides
$60 = $0.25m ... divide both sides by 0.25
240 = m
Finally, we can see that you used a total of 240 minutes last month.
An equestrian club orders magazine subscriptions for new members. Last year, it had 32 new members and spent $624
subscriptions. Use the equation 32m = 624 to find the cost of each subscription. Start answer with a $
HELP I NEED HELP I WILL GIVE YOU 12 points AND BRANLIEST
Answer:
$19.50 I think?
Step-by-step explanation:
use long division if a calculator is not allowed.
Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?
Please help I will mark as brilliant answer.
Answer:
Step-by-step explanation:
if he has 500 and wants to have 200 left subtract 500-200=300
then if he spends 24 each week divide 300/24=12.5
the maximum number is 12 because cant have a remainder
at the end of the summer he would have 212 left.. 12x24=288..500-288=212
Answer:
12 weeks .
Step-by-step explanation:
24 x 12 = 288 . 24 x 13 = 312 .
500 - 288 = 212 . 500 - 312 =188 .
its 12 because if you do 13 its to below the price so you'll have some change left .