The new equation will be [tex]y=-1.5x+75[/tex]
Since the height at 0 seconds will be 75, it means that 15 has been added to the height at each time instant.
As a result, the gradient will remain [tex]-1.5[/tex], but the y-intercept will become 75. Therefore the equation will only change at the intercept.
The new equation will be [tex]y=-1.5x+75[/tex]
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A store pays $95 for an aquarium and marks the price up by 40%. What is the amount of the marvel
Answer:
133
Step-by-step explanation:
S= 2.75+52
Help please
Answer:
[tex]s = 2.75 + 52 \\ = > 54.75[/tex]
hope helpful <3
In the given figure, find the measure of angle BOC, angle COD and angle DOE ?
Answer:
Step-by-step explanation:
[tex]2x - 10^o + 2x + 30^o + x + 10^o + 50^o = 180^o \\\ 5x + 80^o = 180^o \\\ 5x = 180^o - 80^o \\\ 5x = 100^o \\\ x = \frac{100^o}{5} \\\\ x = 20°[/tex]
I hope I've helped you.
Explanation:-
From the given figure :
∠AOB = 50°
∠BOC = x+10°
∠COD = 2x+30°
∠DOE = 2x-10°
We know that
The sum of the angles lie on the same line = 180°
⇛ ∠AOB + ∠BOC + ∠COD + ∠DOE = 180°
⇛ 50°+x+10°+2x+30°+2x-10° = 180°
⇛ 5x+80° = 180°
⇛ 5x = 180°-80°
⇛ 5x = 100°
⇛ x = 100°/5
⇛ x = 20°
∴ x = 20°
Now,
The measure of ∠BOC = x+10°
= 20°+10°
= 30°
The measure of ∠COD = 2x+30°
= 2(20°)+30°
= 40°+30°
= 70°
The measure of ∠DOE = 2x-10°
=2(20°)-10°
= 40°-10°
= 30°
Answer:-
The measure of ∠BOC = 30°
The measure of ∠COD = 70°
The measure of ∠DOE = 30°
Remember:-The sum of the angles lie on the same line is 180°
help me plz asap!! !!!
Answer:
x=3
y=18
Step-by-step explanation:
Triangle CHR = Triangle KYD
Therefore:
Side CH = Side KY
<C = <K
2x+6= 12
2x=6
x=3
10x+y=48
10(3)+y =48
30+y=48
y=18
giving brain for correct answer pause.
[tex] \rm16 < x + 9 \: \: or \: \: 18 \leqslant x + 9 \\ \rm x + 9 > 16 \: \: or \: \: x + 9 \geqslant 18 \\ \rm x > 16 - 9 \: \: or \: \: x \geqslant 18 - 9 \\ \rm x > 7 \: \: or \: \: x \geqslant 9 \\ \rm \boxed{ \bold{7 < x \: \: or \: \: 9 \leqslant x}}[/tex]
Please look at the picture for question.
Answer:
A and C
Step-by-step explanation:
if u plug 3 in A and C you'll get a true eqn.
There are 42 computers in a store. The operating system are IOS, Microsoft, and Chrome in the ration 2:5:7. Find the number of computers that are running each of the operating systems.
Stop sending links and deleting it.
Answer: there will be 6 IOS 15 Microsoft and 21 Chrome
Step-by-step explanation:
Because if there is 42 computers, try every number, in total times every number by 3 to keep the ratio same
Please take a look at the picture. Please write your answer with an explanation.
Answer:
Bottom left (each term in pattern X is 1/3...)
Step-by-step explanation:
If you look at the 2nd row, you will recognize that when you multiply 15 times 1/3, you will get 5, which is 1/3 of 15. You will recognize this pattern across the whole table.
1 5/6 times 4/7 so whats the answer
Answer:
22/21 or 1 1/21
Step-by-step explanation:
Answer:
1 3/7
Step-by-step explanation:
15/6 times 4/7 = 10/7 = 1 3/7
A survey of 70 people found that 50 like coffee, 25 like tea, and 13 like both. How many people like coffee or tea, or both?
62 people like coffee or tea, or both
A survey of 70 people found that 50 like coffee, 25 like tea, and 13 like both.
The amount of people that like only coffee = 50 - 13 = 37
The amount of people that like only tea = 25 - 13 = 12
The amount of people that like neither = 70 - (37 + 12 + 13) = 8
The amount of people who like coffee or tea, or both = 37 + 12 + 13 = 62
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Answer:
13 like both
12 like tea
37 like coffee
62 people like coffee, tea or both
8 don't like neither of them
Step-by-step explanation:
let us remember that 25 people like tea but 13 of them like both. And 50 people like coffee but 13 like both.
so:
25-13=12
12 equals to the number of people that only like tea.
50-13=37
37 equals to the number of people that only like coffee.
If you add the 13 (that like both) + 12 (that like tea) + 37 (that like coffee) that equals to 62 people that like coffee or tea, or both.
13+12+37=62
62 equals to the number of people that like coffee or tea, or both
So that means that 8 people don't like either coffee or tea.
Hannah wants to buy cupcakes and cookies for her friends with a budget of $35. Cupcakes are $6
and cookies are $1.
1. What is the maximum amount of
cupcakes she can buy?
2. if she buys the maxium amount of cupcakes, how many cookies will she be able to buy?
1. Since Hannah cannot buy a fraction of a cupcake, the maximum number of cupcakes she can buy is 5.
2. If Hannah buys the maximum amount of cupcakes (5 cupcakes), she will be able to buy 5 cookies with the remaining budget.
To find the maximum number of cupcakes Hannah can buy, we need to divide her budget by the cost of each cupcake:
1. Maximum cupcakes she can buy:
Maximum cupcakes = Budget / Cost per cupcake
Maximum cupcakes = $35 / $6 ≈ 5.83 (rounded down to the nearest whole number, as you cannot buy a fraction of a cupcake)
Since Hannah cannot buy a fraction of a cupcake, the maximum number of cupcakes she can buy is 5.
2. If she buys the maximum amount of cupcakes (5 cupcakes), we can find out how many cookies she can buy with the remaining budget.
Remaining budget after buying cupcakes:
Remaining budget = Total budget - (Number of cupcakes * Cost per cupcake)
Remaining budget = $35 - (5 * $6)
Remaining budget = $35 - $30
Remaining budget = $5
Now, we can calculate the number of cookies she can buy with the remaining budget:
Number of cookies = Remaining budget / Cost per cookie
Number of cookies = $5 / $1 = 5
Hence, if Hannah buys the maximum amount of cupcakes (5 cupcakes), she will be able to buy 5 cookies with the remaining budget.
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A friend tells you that her savings account doubled in 6 years. Use the Rule of 72 to estimate what the APR of her account was.
Answer:
12
Step-by-step explanation:
Just divide 6 into 72 to find that it will require an interest rate of about 12 percent.
Mai runs 3 laps around the track in 4 minutes.
a. How many minutes per lap is that?
b. How many laps per minute is that?
C. . If Mai runs 21 laps at the
same rate, how long does it
take her?
Explain your reasoning
The total distance Mai runs is 400(4), so the distance equals 1,600 meters. If it takes her 250 meters per minutes, then if you divide 250 with 1600– it’ll take her 6.4 minutes
Billy gave money to a charity over a 20 year period, from Year 1 to Year 20 inclusive. He gave RM150 in Year 1, RM160 in Year 2, RM170 in year 3, and so on. Kevin also gave money to the charity over the same 20 years period. He gave RMA im Year 1 and the amount of money he gave each year increased, forming an arithmetic sequence with common difference RM30. The total amount of money that Kevin gave over 20 years period was twice the total amount of money that Billy gave. calculate the value of A.
The value of A is RM 205.
Since Billy gave money to a charity over a 20 year period, from Year 1 to Year 20 inclusive, and he gave RM150 in Year 1, RM160 in Year 2, RM170 in year 3, and so on, and Kevin also gave money to the charity over the same 20 years period, but he gave RMA im Year 1 and the amount of money he gave each year increased, forming an arithmetic sequence with common difference RM30, and the total amount of money that Kevin gave over 20 years period was twice the total amount of money that Billy gave, to calculate the value of A the following calculation must be performed:
Billy = (150 x 20) + 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 + 100 + 110 + 120 + 130 + 140 + 150 + 160 + 170 + 180 + 190 Billy = (150 x 20) + 1900 Billy = 3000 + 1900 Billy = 4900 Kevin = (9800 - (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240 + 270 + 300 + 330 + 360 + 390 + 420 + 450 + 480 + 510 + 540 + 570)) / 20 Kevin = (9800 - 5700) / 20 Kevin = 4100/20 Kevin = 205
Therefore, the value of A is RM 205.
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A car can drive 415 miles on 10 gallons of gasoline. What is the car’s mileage for 1 gallon of gas?
Answer:
41.5
Step-by-step explanation:
Answer:
41.5 miles per gallon
Step-by-step explanation:
Since you are finding the miles per gallon, you should do 415 and 10 both divided by 10 to find the number of miles for one gallon. 415 divided by 10 is 41.5, while 10 divided by 10 is 1, so for one gallon, the car can drive 41.5 miles, or 41.5 miles per gallon.
what is the slope of the line of y=2x-100
Find an equation with a solution of x=6 of multiplicity 1, and a solution of x= 3 of multiplicity 2.
Write your answer in standard form.
After receiving a 25% discount, Sue paid $180 for
a lawnmower. What is the original price of the lawnmower before the discount?
Answer:
$240
Step-by-step explanation:
Let's say the original price was x, then the equation would be x*0.75=180, x=180/0.75, x=240
Calculate the simple interest rate. (Round your answer to one decimal place.)
P = $1800, 1 = $87130, t = 6 months
Answer:Mark me Brainlieist
Rate9681.1111%/year
Formula:r = Interest / Principle timeStep-by-step explanation:
Solving our equation
r = 87130 (1800 × 0.5) = 96.81111111
r = 96.81111111
converting r decimal to a percentage
R = 96.81111111 × 100 = 9681.1111%/year
The interest rate required to
accumulate simple interest of $87,130.00
from a principal of $1,800.00
over 0.5 years is 9681.1111% per year.
Marketing Addis prepares marketing plans for growing businesses. For 2017, budgeted revenues are $1,500,000 based on 500 marketing plans at an average rate per plan of $3,000. The company would like to achieve a margin of safety percentage of at least 45%. The company’s current fixed costs are $400,000 and variable costs average $2,000 per marketing plan. Which of the following changes would help Marketing Docs achieve its desired margin of safety? a) The average revenue per customer increases to $4,000. b) The planned number of marketing plans prepared increases by 5%. c) Marketing Addis purchases new software that results in a 5% increase to fixed costs but reduces variable costs by 10% per marketing plan.
Answer:
1. Break even points = 400 units
margin of safety = $100
Explanation:
Given data:
budget revenue in 2017 = $1,500,000
Fixed cost =$400,000
total marketing plan = 500
take contribution margin/unit = Revenue - variable cost
= 3000 - 2000
contribution margin/unit = $1000
take break even sales $400
break even point
Break even point
margin of safety is calculated as
margin of safety = total quantity to be sold - break even sales
= 500 - 400 = $100
2. A.
(1)
Break even in marketing plan = 400
(2) Break-even in dollars:
= Break-even in marketing plan × Average rate per plan
= 400 × 3,000
= 1,200,000
(3) Margin of safety = Actual sales - Break-even sales in dollars
= 1,500,000 - 1,200,000
= 300,000
= 20%
B.
(1) Contribution margin per marketing plan = Sales - Variable cost
= $4,000 - $2,000
= $2,000
Break even in marketing plan = 200
(2) Break-even in dollars:
= Break-even in marketing plan × Average rate per plan
= 200 × 4,000
= 800,000
(3) Margin of safety = Actual sales - Break-even sales in dollars
= 1,500,000 - 800,000
= 700,000
= 47%
Therefore, option (a) would achieve the margin of safety ratio more than 45%.
Step-by-step explanation:
the mean is 100. One individual score is at the 20th percentile and has a raw score of 85. What is the standard deviation
Answer:
Look at it this way. About two-thirds of the populace are thought to possess IQs between 85 and 115, which is to say, more or less average. That leaves about one sixth of the populace significantly below average and one sixth significantly above average.
Why such a large range for average — there’s a 30-point gap between 85 and 115? That’s because IQ tests measure only certain kinds of intelligence, and people who might be weak in some areas might be strong in other areas. Consider the difference between being book-smart and being street-smart. A person who is book-smart would be expected to score well on an IQ test but might not fare so well in a dangerous neighborhood after dark. A person who is street-smart would know better than to visit that neighborhood after dark but might not score so well on an IQ test.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To calculate the value of the standard deviation in this equation, we must use Z-scores, therefore we are assuming that the distribution is regular.
At the twentieth percentile of a regular distribution, the z-score is -2.88. Using this information we can reverse-engineer the z-score calculation equation, [tex]z=\frac{n - x'}{s_{x} }[/tex]. x' being the mean of 100, n being the value of 85, z being the z score of -2.88 and s base x being the standard deviation.
[tex]-2.88=\frac{85-100}{s_{x}}[/tex].
The standard deviation is equivalent to 5.2083
Zeke and his friends are heading to Light Storm Laser Tag. They plan to purchase the Light Storm group package, which will be $132 for 12 people. That's $4 less per person than the normal cost for a single player. What is the normal cost for a single player?
Answer:
15$
Step-by-step explanation:
brainliest pls
$15 is the normal cost for a single player.
Given that a game costs $132 for 12 people. That's $4 less per person than the normal cost for a single player.
We need to find the normal cost for a single player,
Let's denote the normal cost for a single player as "x" dollars.
According to the information given, the Light Storm group package costs $132 for 12 people, which means each person in the group pays $132 / 12 = $11.
We also know that the group package cost per person is $4 less than the normal cost for a single player. So, we can set up the following equation:
x - 4 = 11
Solving for "x":
x = 11 + 4
x = 15
Therefore, the normal cost for a single player is $15.
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help plzzzz................
Answer: 2:3
Step-by-step explanation:
a company sells stock for 10 and 1/4, how much will 128 cost
Answer:
$1312 .
Step-by-step explanation:
hcf of 12x²-6x find the highest common factor of 12 squared - 6x
Answer:
I think that it is 6x.
Step-by-step explanation:
HCF of 12 and 6 is 6
HCF of x squared and x is x
HOPE THAT I HELPED YOU!!!
Gabriel is constructing a triangle's two sides and the measure of the angle between them. Which choice shows the step
in which Gabriel discovers information that was not given about the triangle?
Answer:
i dont know what to tell u man that hard
Step-by-step explanation:
2.903 = y + 7/10 decimal in a box
Answer:
2203/1000
Step-by-step explanation:
Answer:
2.203
Step-by-step explanation:
Subtract 7/10 from both sides of the equation
2.903 = [tex]y[/tex] + 7/10
2.903 - 7/10 = y + 7/10 - 7/10
SimplifySubtract the numbers
2.903 - 7/10 = y + 7/10 -7/10
2.903 = y + 7/10 - 7/10
Subtract the numbers
2.903 = y + 7/10 - 7/10
2.903 = y
Move the variable to the left
2.903 = y
y = 2.903
plsss help 98 point pls no links
Answer:
C: individual vs individual
Step-by-step explanation:
Answer:
individual vs. society
Step-by-step explanation:
the part that says "he considers war to be of beastly madness" gives the hint
Enter your answer and show all the steps that you use to solve this problem in the space provided,
Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).
Enter your answer and show all the steps that you use to solve this problem in the space provided. The midpoint of CD “there is a line above CD” is E (-1,0). One endpoint is C (5,2). What are the coordinates of the other endpoint?
Enter your answer and show all the steps that you use to solve this problem in the space provided. PB “there is a line above PB” is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?
Answer:
pls help Enter your answer and show all the steps that you use to solve this problem in the space provided..
Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?
Step-by-step explanation:
After playing the "Spin to Win" game, which has a probability of 0.25 of winning on any individual spin, Nick decides
to play "Knock down the Bottles." To win, Nick has to knock down all 3 bottles. Nick determines that the probability of
winning this game is 0.8. Nick plays "Spin to Win" twice and then plays "Knock down the Bottles" twice.
What is the probability that Nick loses both times he plays "Spin to Win" and wins both times he plays "Knock down
the Bottles"?
O 0.04
O 0.0025
O 0.0225
O 0.36
Answer:
0.36
Step-by-step explanation:
Edge 2021
