A high school choir had a car wash to raise money. The number of trucks washed was 2 fewer than
half the total number of cars and SUVs washed. They washed twice as many cars as trucks. They
washed a total of 28 trucks and cars and SUVs.
Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed. Which
ordered triple, (T, C, S) represents the solution to the system below? Verify your answer fully in the
box provided. (5 pts.)
1 2( ) 2
2
28
T CS
C T
TCS
+= +
=
++=
A. (4, 8, 16) C. (8, 16, 4)
B. (4, 8, 12) D. (12, 6, 8)

Answers

Answer 1

Answer: C. (8, 16, 4)

Step-by-step explanation:

Given the following:

Let:

Trucks = T ; Cars = C ; SUVs = S

T =0.5(C + S) - 2 - - - (1)

C = 2T - - - (2)

T + C + S = 28 - - - (3)

T = 0.5(2T + S) - 2

T = T + 0.5S - 2

0 = 0.5S - 2

0.5S = 2

S = 2/0.5

S = 4

From T + C + S = 28

C = 2 T ; S = 4

T + 2T + 4 = 28

3T = 28 - 4

3T = 24

T = 24/3

T = 8

From T + C + S = 28

8 + C + 4 = 28

12 + C = 28

C = 28 - 12

C = 16

Hence, (T, C, S) = (8, 16, 4)


Related Questions

Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B?

Answers

Answer:

No, you would need it to have the same multiples: for example, Triangle A has 2,3,4 so Triangle B would have 4,6,8

Step-by-step explanation:

I hope that makes sense!

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1

Answers

Given:

Four equations are

[tex] 7 x + 1 = 7 x+ 1[/tex]

[tex]3 x + 2 = 3 x-2[/tex]

[tex]4 x + 1 = 3 x + 8[/tex]

[tex]-2x-1 = -2 x-1[/tex]

To find:

Without solving which equation has no solution.

Solution:

We know that, in an equation

1. No solution : When variable terms are same but constants are different.

2. Unique solution : When variable terms are different.

3. infinitely many solution : When variable terms and constants are same.

In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.

Therefore, these two equations (first and fourth) have infinitely many solutions.

In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.

Therefore, the second has no solutions.

In third equation, coefficient of x are difference on both sides.

So, this equation has unique solution.

Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.

Answer:

D

Step-by-step explanation:

To rent a Bird scooter you must pay $1 to start and then $0.50 for every 15 minutes you ride. Is the cost proportional to the amount of time you ride?

Answers

Step-by-step explanation:

if you rent a scooter for 15 minutes you pay $1.50 ($1 to start and $0.50 rental) and if you rent it for 30 minutes then you pay $2.00 ($1 to start and $1 rental). This is NOT proportional because $1.50/15-mins and $2.00/30-min are NOT equivalent ratios

James decides to invest money in Wal-Mart. As a shareholder, he has the advantage of

(select all that apply)


A. limited liability


B. limited life


C. unlimited liability


D. double taxation


E. ease of start up

Answers

Answer:

A. limited liability

Step-by-step explanation:

Because James has become a shareholder by investing in Walmart, he has the advantage of limited liability. This basically means that he shares in both the gains and the losses of Walmart's business decisions but only up to the amount that he has invested into it. Meaning that if James invested a total of $2000 and Walmart goes under, then he will lose all $2000 but not more than that.

1/3 - 2/9 find the solution​

Answers

Answer:

1/9

Step-by-step explanation:

1/3 - 2/9

Get a common denominator of 9

1/3 *3/3 = 3/9

3/9 - 2/9

1/9

What is the volume of the toy car that has a density of 3 g/mL and a mass of 75 g.

Answers

225 mL

75/x = 3/1 g/mL

Answer:

25 mL

Step-by-step explanation:

m/D=V

75g/3 g/mL = V

25mL =V

Is 2x+y=4 linear? If it is what is the slope and y intercept?

Answers

Answer: Yes, it is linear. The slope is -2

Step-by-step explanation:

move the 2x over to the other side and get y=-2x+4, the slope in a linear equation is m in the formula y=mx+b, in this case, m=-2

HELPPPP PLEASSEEEEEE!!!

Answers

Answer:

Answer:

b2 = 2A/h - b1

Step-by-step explanation:

i need help with 1/2x+13=9
im in the 8th grade btw

Answers

Answer:

-8

Step-by-step explanation:

You are wanting to solve for x

First you want to subtract 13 on both sides-

1/2x = -4

Now you want to divide on both sides-

x = -8

Answer:

1/-8

To find:

x

Step-by-step explanation:

1/2x+13=9

take 13 to the LHS. when you take 13 to the LHS it becomes negative

1/2x=9-13

1/2x=-4

by cross multiplying,

2x × -4=1

-8x=1

x=1/-8

hope it helps you!!

Hi, i need help quickly. I need the solution for
Estimate the value of
[tex] \sqrt{97.5 \div 1.96} [/tex]
Please make it quick​

Answers

Answer:

7.05

Step-by-step explanation:

Answer:

7.053

Step-by-step explanation:

97.5/1.96=49.745

√49.745=7.053

Can someone please help me ASAP I’ll mark brainlist!!!!?!?

Answers

It might be D. I’m not positive sorry if it’s wrong

HELP ASAP . You the real one if you do.

Answers

Answer:

x=1

Step-by-step explanation:

hope this helps and hope its correct

Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)

Answers

Answer:

D. 3(x-1) = 3x-3

Step-by-step explanation:

I'm sure that's the answer

Answer:

D and E

Step-by-step explanation:

Can you please help me with this please.... I’ve been posting these questions over and over and nothing...

Snorkel, mask, and flippers
Slope:

Snorkel, mask, and flippers
y-intercept:

Snorkel, mask, and flippers
Slope intercept form:

Answers

Answer:

Step-by-step explanation:

Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).

Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)

Snorkel, mask, and flippers Slope intercept form: y = 2x + 10

Can someone help me with 5 and 6 please

Answers

Answer:

5. x+4=86

6. An equation can be used to predict values from a pattern by merely substituting any value to determine the equivalent value. An example is the geometric series which has a standard equation of an = a1 * r^(n-1) and is used to predict the nth term of the series

Step-by-step explanation:

How can you tell if there will be more than one solution for the geometric means?

Answers

Answer: because there are different methods to it and different solutions.

Step-by-step explanation:

Three times a number increased by 7 is 100. Find the number.

Answers

Answer:

31

Step-by-step explanation:

100-7= 93

93÷3=31

Answer:

the number is 31

Step-by-step explanation:

the number is the variable x

3 times the number is 3x

increased by 7 is +7

is 100 is =100

3x +7 =100

subtract 7 from both sides

3x =93

divide by 3 on both sides

x = 31

How can you use Recipes B and D to create recipe E?

Fill in the blank.

1.) ____ the corresponding quantities of Recipe B 2.)____ Recipe D to create Recipe E.

Options for 1.)

- Add
- Subtract
- Multiply
- Divide

Options for 2.)

- and
- from
- times
- by

Answers

1.) add
2.) and

If you look at the chart you can see when you add B and D it equals E, therefore your answer is add.

The radius of a circle is 8 meters. What is the diameter?

Answers

Answer:

16 meters

Step-by-step explanation:

r=8m

8*2=16

d=16m

Answer:

16

Step-by-step explanation:

The diameter is the radius times 2.

Anita is making headbands for her softball team. She needs a total of 3/4 yard of fabric. Select all types of fabric that cost less than $8 per yard. Total cost for 3/4 of cotton: 5.54 Total cost of 3/4 of Flannel: 2.62 Total cost of 3/4 of Fleece: 4.27 Total cost of 3/4 of Terry cloth: 6.52

Answers

Answer:

All except the Terry Cloth

Step-by-step explanation:

The fabrics that cost less than $8 per yard are cotton, flannel and fleece.

In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4

cost of a yard = total cost ÷ [tex]\frac{3}{4}[/tex]

Cost of a yard of cotton = 5.54 ÷ [tex]\frac{3}{4}[/tex] = 6.85

Cost of a yard of Flannel = 2.62 ÷[tex]\frac{3}{4}[/tex] = 3.49

Cost per yard of Fleece = 4.27 ÷ [tex]\frac{3}{4}[/tex] =  5.69

Cost per yard of Terry Cloth = 6.52 ÷[tex]\frac{3}{4}[/tex] = 8.69

Based on the above calculations, all but Terry cloth cost less than $8 per yard

A similar question was solved here: https://brainly.com/question/2244723?referrer=searchResults

A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.

How many ounces of peanuts will it take for there to be one jar of peanut butter?

Answers

Given :

A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.

To Find :

How many ounces of peanuts will it take for there to be one jar of peanut butter.

Solution :

[tex]2\dfrac{1}{2}\ ounces = \dfrac{2}{3}\ jar\\\\\dfrac{5}{2}\ ounces = \dfrac{2}{3}\ jar\\\\1= \dfrac{15}{4}\ \dfrac{ounces}{jar}[/tex]

Now,

1 jar of peanut butter is made by :

[tex]1\times jar \times \dfrac{15}{4} \dfrac{ounces}{jar}\\\\\dfrac{15}{4}\ ounces[/tex]

Hence, this is the required solution.

-8(1 + 4p) + 7p = – 25 – 8p​

Answers

The answer for the is

p=1

Which value must be added to the expressionx2+16x to make it a perfect-square trinomial?

Answers

Answer:

Step-by-step explanation:

Please write  x^2+16x  or  x²+16x  to indicate the exponentiation.

To rewrite  x²+16x  as a perfect square trinomial:

1) Take half of the coefficient of x, that is, half of 16, which is 8

2) Square this result:  8² or 64

3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:

x²+16x + 64 - 64

4) Rewrite the first three terms as the square of the binomial x + 8:

(x + 8)² - 64  

Here (x + 8)² is a perfect square trinomial.

Answer:

The answer is C.) 64 on edge.

(3y-1)^5 written in standard form please help!!!!

Answers

Answer:

Step-by-step explanation:

[tex](3y-1)[/tex]

[tex](3y-1)*(3y-1)*(3y-1)*(3y-1)*(3y-1)[/tex]

[tex]243y^5-405y^4+270y^3-90y^2+15y-1[/tex]

Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi

Answers

Answer:

All are rational numbers I guess

Step-by-step explanation:

NoTE : I'm not sure

Answer:

For the first one its 7/9 ig

does the table below show a proportional relationship​

Answers

Answer:yes

Step-by-step explanation:

The legs of a right triangle are 10 cm and 24 cm long what is the length of the hypotenuse

Answers

Answer:

26

Step-by-step explanation:

the formula for this is A squared plus B squared equals C squared

Answer:

26

Step-by-step explanation:

10(10)+(24)(24)

100+576

676

out of the square root

it is 26

Write an equation in slope-intercept form of the line that passes through (6,-1) and (3,-7). Please help!

Answers

Answer:

y = 2x – 13

Step-by-step explanation:

Use Slope formula to get the slope

(y2-y1) / (x2-x1)

(-7--1) / (3-6)

(-6)/(-3)

2

Then plug-in the value of slope and any one coordinate in Point-Slope formula:

y- y1= m(x-x1)

y - -1 = 2( x - 6)

y + 1 = 2x - 12

y = 2x - 13

The equation of the line in the slope-intercept form will be y = 2x – 13.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (-7-(-1)) / (3-6)

Slope = (-6)/(-3)

Slope = 2

Then plug in the value of slope and any one coordinate in the Point-Slope formula:

y- y₁= m(x-x₁)

y - (-1) = 2( x - 6)

y + 1 = 2x - 12

y = 2x - 13

Therefore, the equation of the line in the slope-intercept form will be y = 2x – 13.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ2

Solve for the indicated variable.

2a + 2b = c for b

B = ?/?

Answers

Answer:

b =  c − 2a

     ------------

          2

Step-by-step explanation:

2a + 2b = c

2b = c − 2a

b =  c − 2a

     ------------

          2

give me an example of irrational between 4 and 5​

Answers

Answer:

√17, √18,√19,√20,√21,√22,√23 ,√24

Step-by-step explanation:

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