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.

Answers

Answer 1

Answer:

Number of trucks = 28

Number of cars = 14

Number of SUVs = 46

Total number of vehicles = 88

Step-by-step explanation:

Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed.

We are told :

They washed twice as many cars as trucks.

Hence: T = 2C

They washed a total of 28 trucks and cars and SUVs

Number of trucks = 28

Number of Cars =

T= 2 C

C = T/2

C = 28/2

C = 14

The number of trucks washed was 2 fewer than half the total number of cars and SUVs washed.

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

T = 28

C = 14

Hence:

28 = 1/2(14 + S) - 2

28 = 1/2(14) + 1/2(S) - 2

28 = 7 - 2 +S/2

28 - 7 + 2 = S/2

30 - 7 = S/2

23 = S/2

S = 23 × 2

S = 46

Hence, number of SUVs = 46

Total number of vehicles = 28 + 14 + 46

= 88


Related Questions

There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

please explain

Answers

Answer:

the probability of the same colour being taken from the bag is a 5:5 ratio if the first marble is not put back

Step-by-step explanation:

The perimeter of a square field is 64 m. If the field is surrounded by a running path of width 3.5 m, find the area of the path. How to solve​

Answers

Answer: 465m squared

(But I think I did this wrong)

Step-by-step explanation:

First, find the area of the whole thing

So 23 x 23 = 529

Now the field: 16 x 16 = 64

Then, subtract both of the areas to find the area of the path:

529 - 64 = 465

Question is in the pic​

Answers

If you were to graph the equation given then it would look like this.
y=m(x)+b is the equation
m is the slope(1/2)
b is where the line crosses the y-axis(-3)
so you go to negative 3 on the y axis and go up 1 and over 2 and repeat the pattern

The area of a triangle is 838. Two of the side lengths are 63 and 29 and the included
angle is obtuse. Find the measure of the included angle, to the nearest tenth of a
degree.

Answers

Answer: 113.5

Step by Step Explanation:

Guys please help me with this question!!!!

Answers

Answer:

the correct answer is 8

may i pls have brainliest

Step-by-step explanation:

all u have to do is divided 5.2 and 0.65 to get the right answer

hope this helps

have a great day -TJ

Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot. Step 1: Since 4 squared = 16 and 5 squared = 25 and 16 < 18 < 25, StartRoot 18 EndRoot is between 4 and 5. Step 2: Since 18 is closer to 16, square the tenths closer to 4. 4. 1 squared = 16. 81 4. 2 squared = 17. 64 4. 3 squared = 18. 49 4. 4 squared = 19. 36 Step 3: Since 18. 49 rounds to 18, 4. 3 is the best approximation for StartRoot 18 EndRoot. In which step, if any, did Nolan make an error? In step 1, StartRoot 18 EndRoot is between 4 and 5 becauseStartRoot 18 EndRoot almost-equals 20 and 4 times 5 = 20. In step 2, he made a calculation error when squaring. In step 3, he should have determined which square is closest to 18. Nolan did not make an error.

Answers

Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.

What is a square root?

A real square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Nolan used the following procedure to find an estimate for

[tex]\sqrt{18}[/tex]

Step 1:

The square of the number 4 is,

[tex]4^2=16[/tex]

The square of the number 5 is,

[tex]5^2=25[/tex]

Number 18 lies between these number as,

[tex]16 < 18 < 25[/tex]

Therefore, the [tex]\sqrt{18}[/tex] is somewhere between the number 4 and 5.

Step 2:

Since 18 is closer to 16, square the tenths closer to 4.

[tex]{4. 1 }^2= 16. 81\\{4. 2 }^2= 17.64\\{4. 3}^2= 18.49\\{4. 4}^2= 19.36\\[/tex]

This step is also correct, when squaring.

Step 3:

Since 18.49 rounds to 18, 4.3 is the best approximation for [tex]\sqrt{18}[/tex].

All the above steps are correct.

Thus, Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.

Learn more about the square root here;

https://brainly.com/question/664132

Answer:

The answer is C: In step 3, he should have determined which square is closest to 18.

What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)?
73
90
290
365

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i took the quiz today on edge

Which inequality is shown on the number line

Answers

Answer: The last one

Step-by-step explanation:

Was is 9 Divided 3103

Answers

Answer:

0.003 but if you just put that in backwards, 345.

Step-by-step explanation:

Answer:

[tex]344\\9*344=3096\\3103-3096=7\\\\344\\Remainder = 7[/tex]

↓ Step Breakdown ↓

How I got 344 was I asked myself, "How many times does 9 go into 3103?"

To the 1st digit manner, 9 goes into 31(03) 3 times.

Subtract.

Result is 4. Drop the 0 from the tens place to match up.

9 goes into 4(0) 4 times.

Subtract.

The result is 4. Drop the 3 from the ones place.

9 goes into 4(3) 4 times.

Final subtraction.

The final result is 7.

Elva monitors her savings account online. On Monday she withdraws money, and the change to her balance is -$51.25. On Tuesday she deposits money and the change to her balance is +$39.50. She wants to know the total change in her account after the two transactions.

Answers

Answer:

39.50 + -51.25 is the expression

Step-by-step explanation:

I got it correct on I-ready!

Answer:

39.50+(-51.25)

Explanation:

Hope this helps 'cause it's correct! :)

Solve equation

2l-3l-6^2

Answers

The answer is -30. The absolute value of -3 is 3. Then you evaluate the power of 6 to the power which is 36. Next you multiply the numbers 2 x 3 which is 6. Then calculate the two numbers left over 6 - 36 which is -30.

What would 5/6 ÷ by 2000 equals too

Answers

Answer:

1/2400  or 0.0004167

Step-by-step explanation:

The question can be written as :

5/6 ÷ 2000/1

This is equal to:

5/6 * 1/2000 -------introducing the product sign and the reciprocal of 2000/1

simplify as;

5/6 * 1/2000 = 1/6 *1/400 ---------dividing 5 by 2000 to get 1/400

perform multiplication

1/6 * 1/400 = 1/2400

Answer : 1/2400  or 0.0004167

Give the name that best describes the parallelogram and find the measures of the numbered angles. The
diagram is not to scale.
Name of the figure:
Measure of angle 1:
Measure of angle 2:
Measure of angle 3:
Measure of angle 4:

Answers

Answer:

Step-by-step explanation:

Remark

The way the sides of the figure are marked (they are marked as being equal.), the figure is a rhombus.

<96 and <2 + <1 are supplementary.

<1 = <2 because the diagonal bisects the angle it is connected to

Call <1 = <2 = x

96 + x + x = 180

96                 96          Subtract 96 from both sides

          2x     =84          Divide by 2

          2x/2 = 84/2

           x = 42

<1 = 42

<2 = 42

Now because opposite angles in a rhombus are equal, the diagonal will make <3 and <4 =  <2  + <1

<3 = 42

<4 = 42

the probability of it raining on a give day is 3/8 what is probability of it not raining

Answers

Answer:

5/8

Step-by-step explanation:

if you have a 3/8 chance what you would do is subtract 3 from 8 and get 5 so your answer would be 5/8

Answer:

5/8

Step-by-step explanation:

Given;

The  probability of it raining on a give day is 3/8

To Find;

what is probability of it not raining

Solve;

Since, the probability it will rain is 3/8

Hence we know that the total is 8

Thus, 8/8 - 3/8 = 5/8

Hence, the probability of it not raining is 5/8

~Learn with Lenvy~

(3÷11)×12= ​What is the value of the expression? ​Enter the number in the box.​

Answers

Answer:

36/11

Step-by-step explanation:

3/11 (12)

36/11

-1/2 multiplied by -4/5

Answers

Answer:

0.4

Step-by-step explanation:

What is the vertex of the quadratic function:
y = x2 - 6x + 11?

Answers

Answer:

             (3, -16)

Step-by-step explanation:

The vertex coordinates of  f(x) = ax² + bx + c  are:  (h, k)

where:   [tex]h=\dfrac{-b}{2a}\ ,\qquad k=f(h)[/tex]

f(x) =  x² - 6x + 11       ⇒  a = 1   b = -6

So:

     [tex]h=\dfrac{-(-6)}{2(1)}=\dfrac6{2}=3\\\\y=f(h)=-(3)^2-6(3)+1=-9-18+11=-16[/tex]

The vertex of quadratic equation is (3, 2)

How to find the vertex of quadratic equation?

In order to determine the coordinates of the vertex, if they are not clearly labeled or easily identified from the graph, we will need to know the equation for the parabola. In general, the equation of a parabola has the form

y=ax²+bx+c

where a, b, and c are all real numbers, and a≠0.

This is called a quadratic equation, and this form is called the standard form of a quadratic equation.

The vertex of the parabola is located at a pair of coordinates which we will call (h, k). In order to determine what they are, we can simply use the standard form of the quadratic equation.

To find h, use the formula:

h=−b/2a.

To find k, evaluate the quadratic equation when x = h. In other words, plug in the value of h for x, and solve.

Given:

y= x² - 6x + 11

Now,

h= -b/2a

h= -(-6)/ 2 * 1

h= 3

Now,

y= f(h)

 = 3*3 - 6*3 +11

 = 9 -18 +11

 = -9 +11

 = 2

Learn more about vertex of equation here:

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#SPJ2

Marcos goes to a bank and opens a new account. He deposits $6,500. The bank pays 1. 4% interest compounded annually on this account. Marcos makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 3 years? $6,591. 00 $6,683. 27 $6,773. 00 $6,776. 83.

Answers

Answer:

6773.00

Step-by-step explanation:

(6500x0.014)3=273

6500+273=6773.00

What number is 40% of 3,600

Answers

Answer:

40% of 3,600 is 1440

Step-by-step explanation:

Rectangle ABCD has been draw below.

Define the relationship between each pair of angles below by matching each pair to "complementary", "supplementary", or "neither".

Answers

Answer: When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Here we say that the two angles complement each other.

Step-by-step explanation:

Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles. The square tile is One-half foot by One-half foot and costs $0. 45 per tile. The rectangular tile is 2 feet by One-fourth foot and costs $0. 80 per tile. Which tile should Orchid choose to minimize costs? Explain. She should choose the square tiles because the total cost will be $8 less. She should choose the rectangular tiles because the total cost will be $8 less. She should choose the square tiles because the total cost will be $14 less. She should choose the rectangular tiles because the total cost will be $14 less.

Answers

The tile should Orchid choose, to minimize costs, is rectangular tiles. The total cost will be $8 less.

What is the area of square and rectangle?

Area of square is the square of its sides length. Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length rectangle and (b) is the width of the rectangle.

Orchid wants to retile her bathroom floor, which has an area of 40 square feet.  She is deciding between two types of custom tiles.

The square tile is One-half foot by One-half foot. Thus, the area of square tile is,

[tex]A=\left(\dfrac{1}{2}\right)^2\\A=\dfrac{1}{4}\rm ft^2[/tex]

Total square tiles required for 40 square feet area,

[tex]n=\dfrac{40}{\dfrac{1}{4}}\times\\n=160[/tex]

Square tile costs $0.45 per tile. Thus, the cost of 160 square tile is,

[tex]C_s=0.45\times160\\C_s=72[/tex]

The rectangular tile is 2 feet by One-fourth foot. Thus the area of thios tile is,

[tex]A_r=2\times\dfrac{1}{4}\\A_r=\dfrac{1}{2}\rm\;ft^2[/tex]

Number of rectangular tiles required for 40 square feet area,

[tex]n=\dfrac{40}{\dfrac{1}{2}}\\n=80[/tex]

The cost of this tile is $0.80 per tile. Thus, the cost of 80 rectangle tiles is,

[tex]C_s=0.8\times80\\C_s=64[/tex]

Hence, the cost of rectangular tile is $8 less than the square tile.

Thus, the tile should Orchid choose to minimize costs, is rectangular tiles. The total cost will be $8 less.

Learn more about the area of square here;

https://brainly.com/question/1658516

24. Sean and Laura have the same number of action figures in their
collections. Sean has 6 complete sets plus 2 individual figures, and
Laura has 3 complete sets plus 20 individual figures. How many figures
are in a complete set?

Answers

Answer:

22 figures

Step-by-step explanation:

Complete sets = x

Individual figures = y

Then in the case of Sean,

6x + 2y = Constant

How many figures are in the complete set?

6 + 3 = 8 complete sets

and,

2 + 20 = 22 individual figures.

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?

4x + 5y = –100
5x + 4y = 80
4x + 5y = 16
5x + 4y = 20

Answers

Answer:

5x + 4y = 80

Step-by-step explanation:
First, let us look at the given:

x = The number of songs purchased

y = The remaining balance of Renata's gift card

Coordinates:

1. (16,0)

2. (0,20)

                                                                                 

Now let's look at the unknown:

Slope =?

Since we have the coordinates we can easily apply the slope formula

Now that we have our slope we can use either point-slope formation or slope-intercept formation, just pick whichever one you're comfortable with.

                                                                                                         

Point-slope formation

y - y1 = slope (x - x1)

Now just plug in the numbers:

y - 0 = 20/-16 (x - 16)

Now you multiply both sides by -16 to get rid of the fraction

-16(y - 0) = -16 (20/-16) (x - 16)

-16y - 0 = 20 (x - 16)

-16y = 20x - 320

Now subtract 20 from both sides.

-16y - 20x = 20x - 20x - 320

-20x - 16y = -320

Now we need to simplify both sides so we divide both sides by 4

-5x - 4y = -80

Now, remember, one of the rules of standard formation is that the coefficient of x cannot be smaller than zero. So you need to multiply both sides by -1.

-1 (-5x - 4y) = (-80) -1

5x + 4y = 80

   


Answer:

B

Step-by-step explanation:

i think its b cuz yea

just help IM IN DESPERATE NEED

Answers

Answer:

C. Translate trapezoid 1 to the right 10 units, then translate the resulting figure down 9 units.

Step-by-step explanation:

Hope this helps you out!

OwO

HURRRYYY I WILL MARK BRAINLIEST!

Answers

You need to type the same equation that’s shown above of the text box. If there’s still a technical issue, let me know, and I’ll try to help!

-3x+3y=12
Y= x+4

The solution set of this system is best explained by which of these statements?

Answers

Answer:

C

Step-by-step explanation:

Reform the first graph: -3x + 3y = 12; 3y = 12 + 3x; y = 4 + x; y = x + 4Compare y = x + 4 and y = x + 4: they are equal, thus the same slope (1) and the same y-intercept (4)

Mr. Hawkins is covering a room in carpet. The room measures 14 feet by 12 feet in a rectangular shape. Each square foot of carpets cost $2.10. What is the cost of carpeting the room?

Answers

Answer:

$352.80

Step-by-step explanation:

First, we need to find the area of the room.

A = L * W

A = 14 * 12

A = 168 ft²

Now, we need to find the cost.

168 ft² * $2.10 per ft² = $352.80

     It will cost $352.80 to carpet the room

The functions r and s are defined as follows. r(x)=2x-2 s(x)=-x^2 find the value of s(r(-3)) (please help!)

Answers

Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64

Solving Equations

The equations can be solved when you replace the variable x for a given value or find the zero of functions.

The question gives:

                                 r(x)=2x-2

                                 s(x)=-x²

First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,

                                r(x)=2*(-3)-2

                                r(x)=-6-2= -8

Like r(-3)= -8, you should replace x, in s(x), for -8.

                                 s(x)=-(-8)²

                                 s(x)=-64

Hence, s(r(-3)=-64.

Read more about functions here:

https://brainly.com/question/11515334

anybody know ow to do this one

Answers

Answer:

b=10mm

Step-by-step explanation:

6x10=60÷2=30

(base x height)÷2

A bag of tiles contains 6 green 4 yellow and 5 blue tiles. If one tile is pulled at random what is the probability of not choosing a green tile?

Answers

Answer:

3/5

Step-by-step explanation:

6 green 4 yellow and 5 blue tiles = 15 tiles

4 yellow and 5 blue tiles = 9 not green tiles

P( not green) = number of not green tiles / total tiles = 9/15 = 3/5

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