5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) jim has to do to save $1200. give 3 combinations of car washed and bikes sold that results in $1200.
Answers
Therefore, there are three different combinations of cars washed and bikes sold that result in savings of $1200: washing 20 cars and selling 73 bikes, washing 30 cars and selling 70 bikes, or washing 10 cars and selling 77 bikes.
To solve this problem, we need to use algebraic equations to find the values of x and y that satisfy the given equation. We can start by rearranging the equation to solve for one of the variables:
5x + 15y = 1200
Divide both sides by 5:
x + 3y = 240
Now we can use this equation to find the values of x and y that add up to 240 and result in savings of $1200. We can use trial and error to come up with different combinations:
Combination 1:
- Washed 20 cars (x = 20)
- Sold 73 bikes (y = 73)
- 20 + 3(73) = 239 (rounded down)
- Savings = 20($60) + 73($10) = $1,800 + $730 = $2,530
Combination 2:
- Washed 30 cars (x = 30)
- Sold 70 bikes (y = 70)
- 30 + 3(70) = 240
- Savings = 30($60) + 70($10) = $1,800 + $700 = $2,500
Combination 3:
- Washed 10 cars (x = 10)
- Sold 77 bikes (y = 77)
- 10 + 3(77) = 241 (rounded up)
- Savings = 10($60) + 77($10) = $600 + $770 = $1,370
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Related Questions
What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Answers
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
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What is missing
answer for brainiest
Answers
Answer:
The answer is 30
Step-by-step explanation:
The numerator is rising by 2, and the denominator is rising by 6
24 + 6 = 30
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and perpendicular to y = 1/3x + 5
What is the equation:
Answers
Answer:
3=-3*-3+b
3=9+b
-9 on both sides
-6=b
y=-3x-6
*-3 because the opposite of 1/3 is -3*
hi i am stuck on this word problem and need help
Answers
Solution
Given that the Perimeter is: 340 yards. Lenght is 91 yards
Since P = 2(L + W)
where L is the Length
W is the width
=> 340 = 2(91 + W)
=> 340 = 182 + 2W
=> 158 = 2W
Dividing both sides by 2
=> W = 79
Hence, the width is 79 yards
Answer: it would be 79yards
Step-by-step explanation: 91•2=182
340-182=158
158/2=79yards
Help p please:)......
Answers
You have to add all sides
Line m intersects lines r,s,t, and w. Based on the given angles, which statement must be true?
Answers
OPTIONS:
A. Lines r and s are parallel.
B. Lines r and t are parallel.
C. Lines r and w are parallel.
D. Lines s and w are parallel
*See diagram in the attachment below
Answer:
B. Lines r and t are parallel.
Step-by-step explanation:
105° lies outside of line r when line m cuts across line r. The adjacent angle that forms a linear pair with 105° would be:
180° - 105° = 75°
Thus, the angle formed outside line t when line m cuts across line t is also equal to 75°.
75° at line t is a matching corner with the 75° at line r. Therefore, lines r and t are parallel.
below there was a daily rental cost for ski equipment at benton mountin ski resort radall rents one set of skis two set of poles and two pairs of boots the sales tax for the rental was 7.69 and he paid with a 100 bill how much chang should randall recive frome the 100 dollar bill
Answers
Answer:
hi
Step-by-step explanation:
Find the restricted values -14/2x-4
Answers
The restricted values of the expression is x = 2
How to determine the restricted values of the equationFrom the question, we have the following parameters that can be used in our computation:
-14/2x-4
To determine the restricted values of the equation, we set the denominator to 0
So, we have
2x - 4 = 0
Add 4 to both sides of the equation
This gives
2x = 4
So, we have
x = 2
Hence, the solution is 2
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Consider the first 2 terms of the sequence -6, 18,...
1. Is the sequence shown arithmetic, geometric or neither. Explain your reasoning ?
Answers
Answer:
cannot be determined
Step-by-step explanation:
Since there are only 2 terms, we cannot establish a concrete relationship.
is a pipe is 24000 km long how much would one km be?
Answers
0.0000416 pipe is the number of pipe for 1 km lenght
Ratio and proportionProportion is defined as the ratio os two quantity for instance numbers.
According to the given question, the length of one pipe is equivalent to 24000km. We are to determine the number of pipe that 1 km will be.
This is expressed as:
Number of pipe for 1 km = Number of pipe/Total km
Number of pipe for 1 km = 1/24000
Number of pipe for 1 km = 0.0000416 pipe
Hence the amount of pipe for 1 km is 0.0000416 pipe
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i need help with this slope question grade 10 math
Answers
Step-by-step explanation:
a) D=(-1,5) E=(-3,1)
b) you do it by adding B coordinates with each other and C coordinates with each other then comparing how its related to D coordinates and E coordinates. B=2+6=8
C= -2-2= -4 D= -1+5= -4 E=-3+1= -2.
or tou can try another method which is knowing the length of each line.
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of
hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
8 + 9n ≥ 80, so n ≥ 8
8 + 9n ≤ 80, so n ≤ 8
9n ≥ 80 + 8, so n ≥ 9.8
9n < 80 + 8. so n < 9.8
Answers
so the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.
Hope this helps ^_^
A right circular cylinder is inscribed in a cone with height 10 cm and base radius 9 cm. Find the largest possible volume of such a cylinder
Answers
The largest possible volume of the inscribed right circular cylinder is 810π \(cm^3\).
To find the largest possible volume of a right circular cylinder inscribed in a cone with height 10 cm and base radius 9 cm, follow these steps:
1. Set up the problem: Let h be the height of the cylinder and r be the radius of its base. The cylinder is inscribed in the cone, so their heights and radii are proportional. Therefore, we have the relationship:
h/10 = r/9
2. Solve for h: Multiply both sides of the equation by 10 to isolate h:
h = 10r/9
3. Write the volume formula for a cylinder: V = π\(r^2\)h
4. Substitute h from step 2 into the volume formula:
V = π\(r^2\)(10r/9)
5. Differentiate the volume formula with respect to r to find the critical points:
dV/dr = d(10π\(r^3\)/9)/dr = 10πr^2
6. Set the derivative equal to zero and solve for r:
10π\(r^2\) = 0
r = 0 (This is not a valid solution since the radius must be greater than zero)
7. Since there's no valid critical point, the maximum volume occurs at the endpoints of the interval. In this case, the radius can be between 0 and 9, so we'll test r = 9:
h = 10(9)/9 = 10
8. Calculate the volume with r = 9 and h = 10:
V = π(\(9^2\))(10) = 810π \(cm^3\)
The largest possible volume of the inscribed right circular cylinder is 810π\(cm^3\).
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6. Which of the following describes a speed of 8 meters per second? * 100 meters in 8 seconds O 80 meters in 8 seconds O 8 meters in 8 seconds O 80 meters in 10 seconds
Answers
8 meters per seconds simply implies covering a distance of 8 meters in 1 seconds. The situation describes speed. Therefore,
\(\begin{gathered} \text{speed}=\frac{dis\tan ce}{\text{time}} \\ \text{speed}=\frac{8}{1}=8ms^{-1} \end{gathered}\)We will look for similar one in the options
\(\text{speed}=\frac{80}{10}=\frac{8}{1}=8ms^{-1}\)The answer is 80 meters in 10 seconds.
Find A + B. Be sure to show your work.
Answers
|a|=-4•4-(-4)•2
|a|=-4•4+4•2
|a|=4(-4+2)
|a|=4•(-2)
|a|=-8
|b|=2•6-(-4)•(-4)
|b|=12-(-4)•(-4)
|b|=12+4•(-4)
|b|=12-16
|b|=-4
an open-top rectangular box with a volume of 32 cm3, and a square base is to be made. what is the minimum surface area for the box? enter only the minimum surface area, and do not include units in your answer.
Answers
An open-top rectangular box with a volume of 32 cm3, and a square base is to be made , minimum surface area for the box must be roughly (32) 1/3, or 3.17
total box surface, or 5 x 10.08 x 50.4
L*B + 2(L*H) = S.A. +2(B*H)=50.4
Let L=B =3
9+12H = 50.4
H = 41.4/12 = 3.45, thus raise the height to 3.6.
Box measurements are 3x3x3.6.
It is common knowledge that the rectangular box with edges of x, y, and z has a surface area of 2(xy + xz + yz), yet its volume is xyz.This is because the surface area is a measure of the amount of space that the box takes up, while the volume is a measure of the amount of space inside the box.
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joe loses 6 pounds during basketball practice. how many cups of water must he consume to replenish this loss
Answers
In order to regain the amount of water Joe losed during practice he should drink 10 cups of water.
A pound is equivalent to 453.59 mg, whereas a cup is equivalent to 236.59 ml.
You may roughly calculate that 2 cups equal 1 pound of water. The density should be 1 mg/ml if the fluid is mostly water.
The number of cups will be,
6 pounds * 453.59 (mg/pounds) * (1mg/ml) / (236.59 ml/cups)
= 10 cups .
Water is a crucial component for all living things, including people and other animals. Naturally, the water must go somewhere when it ascends the plant. Water loss will result from water evaporation (transpiration in plants)
Our breath, skin, urine, and sweat all cause water loss. A person's body will typically consume 2.5 L of water every day and expend the same amount. Your body will "inform you" you are thirsty and need to drink water if you get dehydrated (Figure 5). You have undoubtedly also noticed that when you drink less water, your pee is more concentrated.
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A class trip is planned for a cinema visit.
1/4 of the people walk to it.
1/3 of the people, get the bus.
The remaining 60 people get a lift in a car.
Calculate the number of pupils who get the bus and who walk to the cinema.
Answers
Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.
Step-by-step explanation:
Let's suppose that there are a total of N pupils.
We know that N/4 walk to the cinema.
We know that N/3 get the bus to the cinema.
And the remainder is equal to 60 people.
Then:
N - N/4 - N/3 = 60
N*(1 - 1/4 - 1/3) = 60
N( 12/12 - 3/12 - 4/12) = 60
N*( 5/12) = 60
N = (12/5)*60 = 144
Then the number of pupils that walk to the cinema is N/4, or:
144/4 = 36
And the number of pupils that get the bus is N/3, or:
144/3 = 48.
Draw a 2-dimensional geometric simplicial complex K in the plane which contains at least 10 vertices and at least 4 2-simplices. Pick a 1-simplex in K. It determines a subcomplex L consisting of this 1-simplex and the two vertices , its 0-dimension faces. Now identify the star and the link of this L in K. (The answer can be a clearly labeled picture or lists of simplices that make up the two subcomplexes.)
Answers
A geometric simplicial complex K in the plane is constructed with at least 10 vertices and at least 4 2-simplices. A 1-simplex is chosen in K, which determines a subcomplex L consisting of this 1-simplex and its two vertices. The star and link of L in K are then identified.
Consider a geometric simplicial complex K in the plane with at least 10 vertices and at least 4 2-simplices. Choose one of the 1-simplices in K, let's call it AB, where A and B are the two vertices connected by this 1-simplex.
The subcomplex L consists of the 1-simplex AB and its two vertices, A and B. This means L consists of the line segment AB and its two endpoints.
To identify the star of L, we look at all the simplices in K that contain any vertex of L. In this case, the star of L would include all the 2-simplices in K that have A or B as one of their vertices.
The link of L, on the other hand, consists of all the simplices in K that are disjoint from L but share a vertex with L. In this case, the link of L would include all the 2-simplices in K that do not contain A or B as vertices but share a vertex with the line segment AB.
By identifying the star and link of the subcomplex L, we can analyze the local structure around the chosen 1-simplex and understand its relationship with the rest of the simplicial complex K.
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need help failing math
What is the image of (4,-7) after a dilation by a scale factor of 2 centered at the origin?
Answers
Answer:
6,-9
Step by step explaination
First you have got the number (4-7)
use the formula of transformation by adding 2
Answer:
(8, - 14 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply the coordinates by 2
(4, - 7 ) → (2(4), 2(- 7) ) → (8, - 14 )
There is a tree house with a wall that is 7 feet high, what is the volume of the tree house?
Answers
Answer:
343 feet
Step-by-step explanation:
You cannot find the volume with only this measurement. You also need the shape of the treehouse
EXPLANATION:
The formula for volume is Length*Width*Hight
Assuming that the tree house is a cube, you would do 7*7*7, which gets you 343
Help it is for Geometry
Answers
Answer:
-3/4
Step-by-step explanation:
HELP ORGENT
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?
a. Write an inequality that demonstrates this situation
b. solve your inequality
c. Explain what your answer means to Tyrone
Answers
Answer:
it should be a.
Step-by-step explanation:
Liquid A has a density of 1.09 g/cm³.
Liquid B has a density of 1.53 g/cm³.
43 cm³ of liquid A and 166 cm³ of liquid B are mixed to make liquid C.
Work out the density of liquid C.
Give your answer correct to 2 decimal places.
g/cm³
Answers
The density of the mixture (liquid C) is 1.44 g/cm³ (rounded to 2 decimal places).
What is density ?
Density is a physical property of matter that describes how much mass is contained within a given volume. It is defined as the amount of mass per unit volume of a substance. In other words, density tells us how tightly packed the molecules or particles of a substance are.
The formula for density is:
density = mass / volume
where mass is the amount of matter in an object or substance, and volume is the amount of space it occupies.
According to the question:
To find the density of the mixture, we need to use the formula:
density of mixture = (mass of liquid A + mass of liquid B) / (volume of liquid A + volume of liquid B)
We can find the masses of the liquids by using their densities and volumes:
mass of liquid A = density of A x volume of A = 1.09 g/cm³ x 43 cm³ = 46.87 g
mass of liquid B = density of B x volume of B = 1.53 g/cm³ x 166 cm³ = 254.58 g
Now we can substitute the values into the formula:
density of mixture = (mass of liquid A + mass of liquid B) / (volume of liquid A + volume of liquid B)
density of mixture = (46.87 g + 254.58 g) / (43 cm³ + 166 cm³)
density of mixture = 301.45 g / 209 cm³
Therefore, the density of the mixture (liquid C) is 1.44 g/cm³ (rounded to 2 decimal places).
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y=250d + 250 = -250d + 7500
Solve for d
Answers
Answer:
that is the answer
Step-by-step explanation:
Answer:
You can't solve for d with this question. There is already an = sign.
Step-by-step explanation:
Find the area of the sector is formed by NMP round your answer to the nearest hundredth of a square centimeter
Answers
Answer:
44.68 square cm
Step-by-step explanation:
To find the area of the whole circle you use the formula pie x r^2
then multiply that area by 40/360 because that is the area of the sector
How much current (I) flowing when 15 C pass a specific field point in 5s?
Answers
Answer:
3 Amperes as I =Q/T
hope it helps
PLEASE HELP WILL GIVE POINTS
(04.02 LC)
Two functions, A and B, are described as follows:
Function A
y = 8x + 3
Function B
The rate of change is 1 and the y-intercept is 4.
How much more is the rate of change of function A than the slope of function B? (5 points)
1
7
8
9
Answers
The rate of change is meaning the slope. The slope of A is 8, therefore, the answer would be 7.
hope this helps :)
if a1 = 5 and an = an-1 +2 then find the value of a4
Answers
Answer:
Step-by-step explanation:
an = (an-1)2 + 5. a1 = 4. Then: a1 = 4. a2 = (4)2 + 5 = 16 + 5 = 21. a3 = (21)2 + 5 = 441 + 5 = 446. a4 = (446)2 + 5 = 198916
a card is drawn at random from an ordinary deck of 52 playing cards. find the probability that it is (a) an ace, (b) a jack of hearts, (c) a three of clubs or a six of diamonds, (d) a heart, (e) any suit except hearts, (f) a ten or a spade, (a) neither a four nor a club.
Answers
The probability that a card drawn at random from an ordinary deck of 52 playing cards is: (a) An ace is 1/13. (b) A jack of hearts is 1/52. (c) A three of clubs or a six of diamonds is 1/26. (d) A heart is 1/4. (e) Any suit except hearts is 3/4. (f) A ten or a spade is 4/13. (g) Neither a four nor a club is 10/13.
We will find the probability of the given situations.
a) An aceThere are 4 aces in the deck.
Therefore, the probability of drawing an ace is given by
P(Ace) = 4/52 = 1/13
b) A jack of hearts
There is only one jack of hearts in the deck.
Therefore, the probability of drawing a jack of hearts is given by
P(Jack of hearts) = 1/52
c) A three of clubs or a six of diamonds
There is one three of clubs and one six of diamonds in the deck.
Therefore, the probability of drawing a three of clubs or a six of diamonds is given by
P(Three of clubs or six of diamonds) = 2/52 = 1/26
d) A heart
There are 13 hearts in the deck.
Therefore, the probability of drawing a heart is given by
P(Heart) = 13/52 = 1/4
e) Any suit except hearts
There are 39 cards that are not hearts in the deck.
Therefore, the probability of drawing any suit except hearts is given by
P(Any suit except hearts) = 39/52 = 3/4
f) A ten or a spade
There are 16 cards that are either tens or spades.
Therefore, the probability of drawing a ten or a spade is given by
P(Ten or spade) = 16/52 = 4/13
g) Neither a four nor a club
There are 12 cards that are either fours or clubs.
Therefore, the probability of drawing neither a four nor a club is given by
P(Neither four nor club) = 40/52 = 10/13
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