Four student government officers want to go to the state convention. It will cost them $100 for registration, $360 for transportation and food, and $50 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?

Answers

Answer 1

ANSWER:

30 cars

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the total cost for 4 people, like this:

\(100+360+50\cdot4=660\)

Now, we must subtract the budgeted value, to know the amount they need to complete the total cost of the trip, like this:

\(660-485=175\)

The four students decided to earn the additional amount by washing cars.

They charge $6 for each car wash. Therefore, the number of cars to get $175 would be:

\(\begin{gathered} c=\frac{175}{6}=29.17 \\ c\approx30\text{ cars} \end{gathered}\)

Because if they wash 29 cars, they will not be able to reach the necessary amount, they must wash at least 30 cars


Related Questions

Elijah wants to purchase two shirts that are on the discount rack at his favorite clothing store. The original price of one shirt is $19.99, and the original price of the other shirt is $22.59.
If both shirts are marked 60% off the original price, how much will Elijah pay for the two shirts before taxes?
F $17.03 G $21.29 H $25.55 J $42.58

Answers

She will pay $25.54 for both shirts.

$19.99 times .60=$11.99

$22.59 times .60=$13.55

$11.99+$13.55=$25.54

I hope it helps if it does mark me as Brainliest pls thank you!

(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?

A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90

Answers

The answer is C: 30=y/3; y=90

The reason for this is that we know that Millie sold 3 times as much as Jack, and, if we use x to represent the number that Jack sold, and y to represent the number that Millie sold, we can form the equation y=3x which is equivalent to x=y/3.

By substituting x=30, we get to 30=y/3 and multiplying both sides by 3, we get to y=90

Answer:

C

Step-by-step explanation:

When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C

PLS GIVE BRAINLIST

Happy Easter

If per unit variable cost of a product is Rs.8 and fixed cost is Rs 5000 and it is sold for Rs 15 per unit, profit in 1000 units is.......
a.. rs 7000
b. rs 2000
c. rs 25000
d. rs 0​

Answers

Answer:

a.. rs 7000

Because 15×1000=15000 it is SP when selling 1000units in the rate of Rs 15/unit& 8×1000=8000 this is cp when buying 1000 units in the rate of Rs 8/unit.

So,by formula of profit,

Rs (15000-8000)=Rs7000

Can someone help me and can y’all show me how you got the answer

Can someone help me and can yall show me how you got the answer

Answers

Answer:

x = -8

Step-by-step explanation:

Step 1: Write equation

1/2x + 13 = 9

Step 2: Solve for x

Subtract 13 on both sides: 1/2x = -4Multiply both sides by 2: x = -8

Step 3: Check

Plug in x to verify it's a solution.

1/2(-8) + 13 = 9

-4 + 13 = 9

9 = 9

Answer:

-8

Step-by-step explanation:

you use inverse operation

meaning opposite signs

subtract -13 from 13 cross it out

subtract 13 from 9

you get 1/2x=-4

divide 1/2 on both sides

-4 divided by 1/2 =-8

Plz help me ..?????a........

Plz help me ..?????a........

Answers

Answer:

Hope it's correct

Step-by-step explanation:

I believe it's week 2.

Which sum or difference is modeled by the algebra tiles?

Answers

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

what is expression ?

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Change the equation of the line to slope-intercept form. 6x + 2y =10 *

Answers

Answer:

Solve for y.

Step-by-step explanation:

6x+2y=10

6x+2y-6x=10-6x  subtract 6x from both sides.

2y = -6x+10

2y/2 = -6x/2+10/2  divide each term by 2.

y = -3x+5

Hope this helps!

3. The t test for two independent samples - Two-tailed example
“Bullying,” according to noted expert Dan Olweus, “poisons the educational environment and affects the learning of every child.” Bullying and victimization are evident as early as preschool, with the problem peaking in middle school. Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure depression in a group of victims and a group of bully-victims using a 26-item, 3-point depression scale. Assume scores on the depression scale are normally distributed and that the variances of the depression scores are the same among victims and bully-victims.
The group of 30 victims scored an average of 21.5 with a sample standard deviation of 10 on the depression scale. The group of 27 bully-victims scored an average of 25.8 with a sample standard deviation of 9 on the same scale. You do not have any presupposed assumptions about whether victims or bully-victims will be more depressed, so you formulate the null and alternative hypotheses as:
H0
: μvictims
– μbully-victims
= 0
H1
: μvictims
– μbully-victims
≠ 0
You conduct an independent-measures t test. Given your null and alternative hypotheses, this is a test. To use the Distributions tool to find the rejection region, you first need to set the degrees of freedom. The degrees of freedom is .

The critical t-scores that form the boundaries of the rejection region for α = 0.01 are ± .
In order to calculate the t statistic, you first need to calculate the standard error under the assumption that the null hypothesis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled variance is s2p
= . The standard error is s(M1 – M2)
= .
The t statistic is .
The t statistic in the rejection region. Therefore, the null hypothesis is . You conclude that victims have a different mean depression score than bully-victims. Thus, it can be said that these two means are different from one another.

Answers

The test statistics do not lie in the rejection so the null hypothesis does not reject.

How to solve

Here we have the following information:

\(\bar{x}_{1}=25.3, n_{1}=25, s_{1}=9, \bar{x}_{2}=20.5, n_{2}=23, s_{2}=8\)

Here degree of feedom will be

\(df=n_{1}+n_{2}-2=25+23-2=46\)

The critical values of t are: +/- 2.687

Rejection region:

If t < -2.687 and t > 2.687, reject H0

Pooled variance is :

\(s^{2}_{p}=\frac{(n_{1}-1)s_{1}^{2}+\left ( n_{2}-1 \right )s_{2}^{2}}{n_{1}+n_{2}-2}=72.8696\)

The standard error is

\(s_{M_{1}-M_{2}}=s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}=2.4664\)

and t-statistics will be

\(t=\frac{\bar{x}_{1}-\bar{x}_{2}}{s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}=1.946\)

The test statistics do not lie in the rejection so the null hypothesis does not reject.

You cannot conclude...

not

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Consider the equation 5 + x = n . What must be true about any value of x if n is a negative number? Explain your answer. Include an example with numbers to support your explanation. Enter your answer, your explanation, and your example in the space provided.

Answers

Answer:

x < 5 because any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be less than 5.

10 POINTS NEED HELP ASAP!!!! PLEASE HELP ME FIND THE AREA AND THE PERIMETER!!

10 POINTS NEED HELP ASAP!!!! PLEASE HELP ME FIND THE AREA AND THE PERIMETER!!

Answers

The area of the composite shape using the area formula for the different shapes is 460.48ft².

What are composite shapes?

The area of composite shapes refers to the space occupied by any composite shape. A composite shape is a shape that is made by connecting a few polygons to form the required shape.

These figures or shapes can be built from a wide range of shapes, such as triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

Now in the question,

First let us find the area of the semi-circle.

Area of semi-circle = πr²/2

= [3.14 × (16/2) ²]/2

= (3.14 × 8²)/2

= 200.96/2

= 100.48ft²

Now coming to the rectangle,

area of the rectangle = l × b

= 20 × 15

= 300ft²

Now for calculating the area of the triangle,

area = 1/2 × b × h

= 1/2 × 12 × 10

= 60ft²

Therefore, the area of the total figure = 100.48 + 300 + 60 = 460.48ft².

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A student asks 18 friends to participate in a psychology experiment.
A Convenience
B) Random
Systematic
D Cluster
E) Stratified

Answers

The answer is C Becuase hes asking his friends to partake in the psychology experiment

PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP

PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP
PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP

Answers

Answer:

1) B

2) B

Step-by-step explanation:

1) funtion 1 slope is 4

function 2 we use y2-y1/x2-x1

10-6/3-1

4/2

2 is the slope of function 2

so function 1 is bigger

1) only b is correct because it lands on the same line of y=x

hopes this helps please mark brainliest

Match the metric units on the left with their
approximate equivalents on the right. Not all the
options on the right will be used.
1 meter
kilogram
1 liter
1 cup
I mile
2
pounds
1 quart
I yard

Answers

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = 4, y = 6
[?]
y =

Answers

Answer:

\(y=-\frac{3}{2}\)

Step-by-step explanation:

\(\text{y = kx where k is a constant.}\)

\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)

Use the diagram to copy the statement.

[ AGBDFE]
It’s complicated and I don’t know where to start

Use the diagram to copy the statement. [ AGBDFE] Its complicated and I dont know where to start

Answers

Thus, for the given similar triangles-

11. ΔCAG ≈ Δ CEF (Angle-Angle similarity)

12. ΔACB ≈ ΔCED (Angle-Angle similarity)

13. ∠ACB = ∠ECD = 92° (vertical angles)

17. BC = √32

Explain about the similar triangle:

Congruent triangles and similar triangles are two distinct but closely related concepts. Similar triangles are any two or more triangles having the identical proportions of their corresponding sides, an equal pair with corresponding angles, and their similar shape.

For the given values:

11. ΔCAG ≈ Δ CEF (Angle-Angle similarity)

∠ACG = ∠ECF (vertical angles)

∠GAC= ∠CEF (alternate interior angles)

12. ΔACB ≈ ΔCED (Angle-Angle similarity)

∠ACB = ∠ECD (vertical angles)

∠BAC = ∠CED (alternate interior angles)

13. m∠ECD = ?

In Δ ACB

53 + 45 + ∠ACB = 180

∠ACB = 180 - 98

∠ACB = 92

∠ACB = ∠ECD = 92° (vertical angles)

17. BC = ?

BC² = GB² + GC²

BC² = 4² + 4²

BC = √32

14. m∠ECF = m∠GCA  (vertical angles)

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Complete question:

For the following figure- Determine:

11. ΔCAG ≈

12. ΔACB ≈

13. m∠ECD = ?

17. BC = ?

Consider the following equation. 5x+3y=8 Step 1 of 2 : Determine the missing coordinate in the ordered pair (3,?) so that it will satisfy the given equation.

Answers

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

A moving company charges a flat rate of $150, and an additional $5 for each box. if a taxi service would charge no flat rate and $15 for each box, how many boxes would you need for it to be cheaper to use the moving company? (do not label your answer)

Answers

Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

Please help! Will give brainliest

Please help! Will give brainliest

Answers

\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

Given 3 + 7 + 11 + 15 + … find S20

Answers

Answer:

Hi

Please mark brainliest ❣️

Given 3 + 7 + 11 + 15 + find S20


There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?

Answers

Answer:A. x= .100

Step-by-step explanation:because of the distance in miles

solve the following lp in solver. answer the questions below. points will be taken off for wrong answers. all variables are assumed to be non-negative. there are 6 correct answers.

Answers

Open Solver in Excel and Enter the objective function in the "Set Objective" box and select "Min" for the optimization direction.

To solve the LP in Solver, follow these steps:

Open Solver in Excel.Enter the objective function in the "Set Objective" box and select "Min" for the optimization direction.Enter the decision variables (A, B, C, D, E) in the "By Changing Variable Cells" box.Enter the constraints in the "Subject to the Constraints" box.Click "Solve" to obtain the solution.

Based on the LP solution, the following statements are true:

Variable E is equal to 4.431.Constraint 2 has a positive slack, which means it is not binding.The minimum cost is 2.913.The value of Variable B is 3.788.The problem has a feasible solution, since Solver was able to find a solution.The shadow price for Constraint 2 should be non-zero, but we don't have that information from the LP solution.Constraint 1 is non-binding, which means it does not affect the solution.The value of Variable D is 0, which means it does not contribute to the objective function.Variable A has a positive value, but we don't have that value from the LP solution.The minimum cost is 2.913, not 2.096.All of the 33 units are used for Constraint 1, which means it is binding.

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Question:

Solve the following LP in Solver. Answer the questions below. Points will be taken off for wrong answers. All variables are assumed to be non-negative.

Minimize 8A -3B +7C +6D +3E

Constraint 1 2A +1B +0C -2 D +6E <=33

Constraint 2 1A +0B -4 C + 2D + 8E <=25

Constraint 3 2A +5B +2C +1D +3E <=30

Constraint 4 1A +6B +0C +1D -2 E

Variable E is equal to 4.431

Constraint 2 has a positive slack

The minimum cost is 2.913

The value of Variable B is 3.788

The problem doesn't have a feasible solution

The shadow price for Constraint 2 should be non-zero

Constraint 1 is non-binding

The value of Variable D is 0

Variable A has a positive value

The minimum cost is 2.096

All of the 33 units are used for Constraint 1

if one cup fills the jug to the second interval, how many cups do you need to fill the jug to 4?​

Answers

2 cups you need to fill the jug to 4.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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Which matrix respresents the system of equations shown below?
4x - 2y = 12
2x - 3y = 8

Answers

Answer:

Hey, kevinlopez1225, your answer is Number one!

Astradele

State the name of the property illustrated.
4(-8+5)= - 32 + 20

Answers

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)

Answers

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Use the age transition matrix L and the age distribution vector x1 to find the age distribution vectors x2 and X3. Then find a stable age distribution vector. 0 3 8 оо 200 1 L = X1 = 200 0 0 200 4 X2 = X3 Find a stable age distribution vector. x=t

Answers

As per the given matrix, the stable age distribution vector is 25 and 25

Matrix:

In algebra, matrix means a set of numbers arranged in rows and columns so as to form a rectangular array.

Given,

Here we have the age transition matrix L and the age distribution vector x1 to find the age distribution vectors x2 and X3.

In order to find a stable age distribution vector we need to find an eigenvalue λ and a corresponding eigenvector x such that 

=> Lx=λx.

Here the characteristics polynomial of L is x2−41​ which implies the eigenvalues are 21​ and −21​.

Now, we have to choose the +ve eigenvalue, λ=21​, we need to find the corresponding eigenvector i.e. to find a basis of the solution space (L−21​I2​)x=0.

Then the augmented matrix is

\(\begin{bmatrix}200 & 0 \\ 0& 200\end{bmatrix}\)

Then the age transmission is written as 25 and 25.

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Solve the following inequality’s graphically on the set of axes below.
y≥3x−5 and y<−x−1

Answers

Answer:

(-11,-3)

Step-by-step explanation:

check is the stetmint is true . -3 grter or eqoule -33+5 that true

solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12

Answers

Answer: x =3; y = -2

\(\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.\)

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

Suppose y varies directly with x. Write an equation relating x and y. y=-12 when x=20

Answers

Answer:

\(y = 8 - x\)

when x=20 so y=-12

4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute

Answers

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Other Questions
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