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Which equation matches the scenario?
Maggie has $15 to spend. Pinball games cost $0.75 per play and skee-ball games cost $1.25 per play.
Question 4 options:
A. 15x+0.75y≤1.25
B. 0.75x+1.25y≤15
C. (0.75+1.25)x<15
D. 0.75x+1.25y≥15
Answers
Answer:
B. 0.75x + 1.25y \(\leq\) 15
Related Questions
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Answers
W(x) - C(x) = 2(W(x) - C(x))
Solving this equation for C(x), we get:
C(x) = (W(x) - 2W(x))
= W(x)(1 - 2)
= (5x3 + 9x2 - 14x + 9)(1 - 2)
= (5x3 + 7x2 - 14x + 6)
Therefore, the function C(x) to model the water used by the car wash on a shorter day is:
C(x) = (5x3 + 7x2 - 14x + 6)
Consider a situation that you might need to use your understanding of probability to make an informed decision.
What sorts of information would you collect?
How might you use what you have learned about probability to determine a course of action?
What are the possible benefits and limitations of this approach?
Answers
The information that we collects while finding probability is given below.
What is probability?
Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilized in the probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.
Now,
Information that we need while calculating probability is :
Determine a single event with a single outcome .Identify the total number of outcomes that can occur.Divide the number of events by the number of possible outcomes.Information needed to find the probability of multiple events
Determine each event you will calculate.Calculate the probability of each event.Multiply all probabilities together.To know more about probability visit the link
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halo me please I don't know what to do
Answers
1) How can I find the measure of C? (no.21)
2) How can I find x? Is it the right answer x=6 of no.59?
Answers
no lo sé lo siento por responder está pregunta es que necesito puntos
In the figure shown below, AABC = ADBE. Find the value of x.
Show the work to support your answer.
E
81
51°
B
(x+5)
D
Answers
Answer:
x = 43°Step-by-step explanation:
Given
ΔABC ≅ ΔDBECorresponding angles
∠DBE ≅ ∠ABC, ∠A ≅ ∠DFind the value of ∠D
m∠D = 180° - (81 + 51) = 48°Find the value of x
m∠A = m∠Dx + 5 = 48°x = 48° - 5° x = 43°Serena went to the grocery store to buy fruit for a salad she brought 2.31 pounds of orange is and paid 3.45 how much does 1 pound of oranges cost to the nearest cent
Answers
Answer:
$0.67
Step-by-step explanation:
If a litre of juice costs 85, what would be the cost of 4 litres of juice?
Answers
Answer:
340
Step-by-step explanation:
To find the cost of 4 liters of juices, take the cost of 1 liter and multiply by 4
4 *85 = 340
Answer: It's $340
Step-by-step explanation:
4 liters of juice - 3 liters = 1 liter
Multiply 1 liter by 4 = 340 (4 x 85)
Answer: $340
how many parts of pat's garden do not have flowers. Explain? Fractions
Answers
Answer:GIVE A BETTER DETAILED QUESTION sorry for caps
Step-by-step explanation:
please help asap !!!!
Answers
Answer:
The first answer
Step-by-step explanation:
The equation for a perpendicular has a slope that is the opposite reciprocal, meaning if the original slope is negative, the perpendicular slope is positive. So you can eliminate the bottom two answers since they do not have an opposite slope.
Reciprocal means to basically flip the fraction. The original fraction in 5/4 so the reciprocal is 4/5.
This leaves the first answer
(I graphed all of the equations in the order that they appeared in the problem.)
Simplify the following expression: 17 + 4w - 12 - w
Answers
Answer:
3w+5
Step-by-step explanation:
17+4w -12-w
I hope this help.Also if you have anymore problems with simplifying just visit this app : h t t p s : / / w w w . m a t h w a y . c o m / A l g e b r a
if f(x)=-x+2, find f(4)
Answers
Answer:
f(4)=-2
Step-by-step explanation:
f(4)=-4+2=-2
The owner of a football team claims that the average attendance at games is over 74,900, and he is therefore justified in moving the team to a city with a larger stadium. An independent investigator will conduct a hypothesis test to determine whether his claim is accurate. This test is ________. Group of answer choices Two-sided Lower-tailed Upper-tailed
Answers
Answer:
Option c (Upper tailed) is the correct choice.
Step-by-step explanation:
Given that:
The average attendance is:
= 74,900
We will have to test:
⇒ \(H_0:\mu \leq \mu_0\)
or,
\(H_0: \mu \leq 74,900\)
Verses,
⇒ \(H_1: \mu> \mu_0\)
or,
\(H_1: \mu >74,900\)
The other given alternatives aren't connected to the given scenario. So the above is the correct one.
The table shows the relationship “Mason rode 15 miles per hour on his bicycle.”
Hours (h)
Miles (m)
1
15
2
30
3
45
4
60
5
75
Which statements are correct? Check all that apply.
Group of answer choices
The variable h is the independent variable.
The variable m is the dependent variable.
The variable m is the independent variable.
The variable h is the dependent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The farther Mason rides, the less time it takes.
Answers
The correct statements are:
The variable h is the independent variable.
The variable m is the dependent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
Dependent and Independent variables:In mathematics, a dependent variable is a variable that depends on one or more independent variables.
An independent variable, on the other hand, is a variable that does not depend on any other variable and is used to explain changes in the dependent variable.
Here we have
The table shows the relationship
“Mason rode 15 miles per hour on his bicycle.”
Hours (h) 1 2 3 4 5
Miles (m) 15 30 45 60 75
Since the number of miles, Mason rides depends on the number of hours he rides, we can say that the variable m is the dependent variable and the variable h is the independent variable and m is the dependent variable.
As Mason's speed is constant at 15 miles per hour, we can see that the number of miles he rides increases at a constant rate with respect to time So we can say that the number of hours causes a change in the number of miles ridden.
Therefore
The correct statements are:
The variable h is the independent variable.
The variable m is the dependent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
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a store buys 8 sweaters for $64 and sells them for $272, how much profit does the store make per sweater
Answers
Answer:
34
Step-by-step explanation:
dividing 8÷272=34
man how am I supposed to make a step by step explanation for this
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
Answers
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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x/2.4+39=239
show work
Answers
Answer: x = 480
Steps: x/2.4 + 39 = 239
Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39
Simplify: x/2.4 = 200
Multiply both sides by 2.4: x/2.4 × 2.4 = 200 × 2.4
Simplify: x = 480
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which one of the following are parametric equations for the tangent line to the curve at the point ( )?
Answers
The parametric equations for the tangent line to the curve
x = 26+27, t = 10+6t, z = 27+27t
In the given question points are given and we have to find the parametric equations for the tangent line to the curve.
given r(t) = <t³-1 , t²+1 , t³>
taking differentiation
r'(t) = <3t² , 2t , 3t² >
parameters corresponding to point at the point (26, 10, 27)
t²+1 = 10
=> t² = 9
=> t = √9
=>t=3
r'(t) at t = 3 is
r'(t) = <27, 6, 27 >
So the parametric equations for the tangent line to the curve
x = 26+27
t = 10+6t
z = 27+27t
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The complete question is :
Find the parametric equations for the tangent line to the curve
x = t³ - 1,
y = t² + 1,
z = t³
at the point (26, 10, 27). Use the variable t for your parameter.
help plssI CANTFAIL OR ELSE I GET EXPELLED
Answers
Based on the dimensions of the parallelogram, it can be concluded its area would be 84 square meters.
How to calculate the area of a parallelogram?The area of a parallelogram can be calculated using the following formula:
Area = base x height
This formula is the same that you would use for calculating the area of a rectangle due to the similarities between these two shapes. Now, let's use the formula to know the area:
Area = 12 meters x 7 meters
Area = 84 square meters
This means the total area is 84 square meters.
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0
Problem Solving on the Coordinate Plane
A tank of water has a leak. Each of these ordered pairs represents the number of hours since the leak began an
the number of gallons of water in the tank at that time.
(1, 27). (5, 24). (8, 20). (12, 16)
Graph the points on the coordinate plane.
Water Tank Level
28
Point
+ Move
◆ Undo
→ Redo x Reset
78°F Mostly sunny xz d
Answers
That after 12 hours, there are -9 gallons of water in the tank.
What is number?Number is a mathematical object used to measure, count, or label. It can represent a quantity, magnitude, or position in a sequence. Numbers are used in many areas of life, including science, engineering, economics, finance, and even art. Numbers can also be used to represent abstract concepts such as time, emotion, or other qualities.
The graph below shows the points on the coordinate plane with the ordered pairs given. The points indicate that the tank of water is leaking at a rate of 3 gallons per hour. This can be calculated by subtracting 24 gallons from 27 gallons which is the difference between the first two points, and dividing by the difference in time which is 5-1, or 4 hours. This can be generalized to the other points, where the differences between the points divided by the difference in time will always be 3 gallons per hour.
This is happening because the rate of the leak is constant and therefore the decrease in gallons of water will follow the same pattern. As time increases, the number of gallons of water in the tank decreases by 3 for every hour that passes.
This can be used to determine the number of gallons in the tank at any given time by using the equation:
Gallons = 27 - (3 x hours)
Therefore, if the tank has been leaking for 12 hours, the equation becomes:
Gallons = 27 - (3 x 12)
Gallons = 27 - 36
Gallons = -9
This means that after 12 hours, there are -9 gallons of water in the tank.
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Find the surface area of the regular pyr
10 in.
Previous
1
13 in.
15 in.
5
Answers
The surface area of the regular pyramid is 536.40 square inches
Finding the surface area of the regular pyramidFrom the question, we have the following parameters that can be used in our computation:
Base length, l = 13 in
Base width , w = 15 in
Height, h = 10 in
The surface area of the regular pyramid is calculated as
Area = lw + 1/2w√[4h² + l²] + 1/2l√[4h² + w²]
Substitute the known values in the above equation, so, we have the following representation
Area = 13 * 15 + 1/2 * 15 *√[4 * 10² + 13²] + 1/2 * 13√[4 * 10² + 15²]
Evaluate
Area = 536.40
Hence, the surface area is 536.40 square inches
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What is the length of a side of an equilateral triangle inscribed in a circle with a radius of 10 cm?
Answers
Answer:
a = √3 * r
a = √3 * 10
a = 10√3 cm
Step-by-step explanation:
A rain gutter is made from sheets of
aluminum that are 24 inches wide by
turning up the edges to form right
angles. Determine the depth of the
gutter that will maximize its cross-
sectional area and allow the greatest
amount of water to flow. What is the
maximum cross-sectional area?
Flat sheet 24 inches wide
1 Write a quadratic function for the Area in terms of x: A(x) =
2 The cross-sectional area is maximized when the depth of the gutter is
3 The maximum cross-sectional area is square inches.
Answers
1. The quadratic function for the Area in terms of x: A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is 0.
3. The maximum cross-sectional area is square inches 0.
To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.
1. Write a quadratic function for the area in terms of x:
The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is:
To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.
3. The maximum cross-sectional area is square inches:
Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.
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If the supplement of <1 is 32º less than the measure of <1, what is m<1? a 1060 b 74o c 61o d 29o
Answers
Answer:
a. 106 degrees
Step-by-step explanation:
m=measure of angle 1; m-32 degrees=measure of supplement
m+(m-32 degrees)=180 degrees Add 32 degrees to each side.
2m=212 degrees Divide each side by 2
m=106 degrees ANSWER: The measure of angle 1 is 106 degrees
CHECK:
106+(106-32)=180
106+74=180
180=180
4. A savings account of $5,000 for
12 years, compounded at an annual
interest rate of 6%.
Answers
(+5)(-2)(+7)(-4)(-1)
Answers
Answer:
-280
Step-by-step explanation:
Answer:
280
Step-by-step explanation:
A football player ran for a 9 yard touchdown. How many feet is this?
Answers
Answer:
The conversion from yards to feet is 3 to 1.
Using this scenario, the football player ran 27 feet to the end zone for a touchdown.
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Because 3 yards is 1 feet
What is the square root of 144444444453?
Answers
Answer:
380058.475044
Answer:
Step-by-step explanation:
380058.475044
Find the arithmetic mean of the following numbers -5, 12, 24, 46, 60
Answers
Answer:
27.4
Step-by-step explanation:
To find the mean of these numbers, we'll add them together, then divide by how many numbers there are.
\(\frac{-5+12+24+46+60}{5}\\\\=\frac{137}{5}\\\\=27.4\)
\(\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}\)
Arithmetic mean is also called as average mean. This is given by the summation of no.s present to how many no.s there are.
Calculating arithmetic mean gives,
\(:\implies\sf{ \frac{ - 5 + 12 + 24 + 46 + 60}{5} }\)\(:\implies\sf{ \frac{ - 5 + 142}{5} }\)\(:\implies\sf{ \frac{137}{5} }\)\(:\implies\sf{27.4}\)The arithmetic mean of the above given no.s is 27.4what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Describe its graph.
4 – 5x > 19
Answers
Answer:
X is greater than 4.6
Step-by-step explanation: