Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?

Answers

Answer 1

Answer:

7 cars

Step-by-step explanation:

The computation of the number of cars to be filled is shown below:

A car that is 90% full and the total people is 20 so 90% would be

= (.90)(20)

= 18

A car that is 65% full and the total people is 20 so 65% would be

= (.65)(20)

= 13

Now

Total number of people = (5)(18) + (3)(13).

= 129

Now the number of cars to be filled is

= 129 ÷ 20

= 6.45

= 7 cars


Related Questions

If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?

Answers

Answer:

270 calories

Step-by-step explanation:

15% of 1800 = 270.

270 calories will come from fruit

Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If ff represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?


And pls dont say that u put the answer somewhere esle

Answers

Answer:2-f

Step-by-step explanation:

Henry wanted to turn the following circle graph into a bar graph. the tallest bar in this bar graph will be represented by what part of the family budget?
A: insurance/pension
B: food
C: transportation
D: housing ​

Answers

Did you try looking it up first?

How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?

Answers

Answer:

1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.

Step-by-step explanation:

answer fast please

Calculate the slope of the line going through A(-4,3) and B(0,6)

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]

[tex]m = \frac{6 - 3}{0 + 4} [/tex]

[tex]m = \frac{3}{4} [/tex]

Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?


(125x3 – 8) = (5x – 2)

Answers

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Ron and Freddy built structures out of snap cubes. Ron's tower had an 8-inch square base. Freddy had a 6-inch square base. If Ron's tower had a volume of 320 cubic inches and Freddy's had a volume of 180 cubic inches, Whose tower was taller? Explain your reasoning.

Answers

Answer: Ron tower's

Step-by-step explanation:

Given

Ron tower has a base of [tex]A_r=8\ in.^2[/tex]

Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]

Suppose the tower is in the shape of a square prism

The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]

The volume of a square-based prism is  [tex]V=\frac{1}{3}a^2h[/tex]

[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]

The height of Freddy tower is

[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]

Thus, the height of Ron's tower is  more than Freddy's tower by [tex]30\ in.[/tex]

The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer

Answers

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

5 x +4+=34

6y+3=45

8z - 7=57

11t-16=39

2n -6=12+4

3z+4=22???

Answers

Answer:

z=6

Step-by-step explanation:

3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3

how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)

Answers

1=6

x=42

cross multiply

x=7

Please mark brainlist

You can buy 7 tickets like the guy above said

Someone help me pls

Answers

Answer: A. 90° clockwise, E. 270° counterclockwise

If total expenditure of firm is Rs. 1000 i). Price of labour (PL)is Rs 200. ii). |Price of capital (PK) is Rs. 100, then determine the budget line for the firm? (

Answers

Answer:

[tex]L + 2K = 200[/tex]

Step-by-step explanation:

Given

[tex]E=1000[/tex] --- Expenditure

[tex]L=200[/tex] --- Labor

[tex]K = 100[/tex] --- Capital

Required

Determine the budget line

First, we calculate the units of labor

[tex]U_1 = \frac{E}{L}[/tex]

[tex]U_1 = \frac{1000}{200}[/tex]

[tex]U_1 = 5[/tex]

Next, the units of capital

[tex]U_2 = \frac{E}{K}[/tex]

[tex]U_2 = \frac{1000}{100}[/tex]

[tex]U_2 = 10[/tex]

The budget line equation is:

[tex]U_1 * L + U_2 * K = E[/tex]

At this point, we take L and K as variables.

So, the equation becomes

[tex]5* L + 10* K = 1000[/tex]

[tex]5 L + 10K = 1000[/tex]

Divide through by 5

[tex]L + 2K = 200[/tex] -- Budget line equation

Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c

Answers

Answer:

m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3[tex] {(a + b)}^{2} \div 3c[/tex]

WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50

Answers

-x/2+4<12

      -4  -4

-x/2<8

  *2  *2

-x<16

/-1 /-1

x<-16

---

hope it helps

Give the center and radius of the circle x2+y2=25
A) (2,3)r=5
B) (0,0)r=5
C) (0,0)r=25
D) (3,2)r=25

Answers

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

Answer:

(0,0) r=5

Step-by-step explanation:

The guy above me

We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent

Answers

Answer:

56 cent per ft²

Step-by-step explanation:

Wall dimension = 35 feets * 21.5 feets

Total cost of paint used = 421.40

Area of wall = Area of rectangle = Length * width

Area of wall = 35 feets * 21.5 feets

Area of wall = 752.5 ft²

Cost of paint per square feet:

Total coast of paint / Area of wall

$421.40 / 752.5 ft²

= $0.56 per ft²

= 0.56 * 100 = 56

What is 7 divided by 4/5 and 3 1/2 divided bye by 3/4

Answers

4/5 = 0.8

7 / 0.8 = 8.75

3 1/2 = 1.5
3/4 = 0.75

1.5 / 0.75 = 2

7 / 4/5 = 8.75 or 8 3/4

3 1/2 / 3/4 = 4 2/3

---

hope it helps

Can someone HELPPPPPP?!??!?!?

Answers

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Yes d is the correct answer

1-What is 30% of 45?
2-What is 5%of 55.2

Answers

Answer:

13.5 and 2.76

Step-by-step explanation:

6.
Do the following conversions:
a.2 GB = ---------------- Kb

b.
2×10 MB = ------------------- B


please answer the question fastly​

Answers

Answer:

a) 2000000 kilobytes

b)20 000 000 bytes

Graphing & Solving Inequalities ​

Answers

Answer:

x ≥ 1

Step-by-step explanation:

3 + 4x ≥ 7

3 - 3 + 4x ≥ 7 - 3

4x ≥ 4

4x / 4 ≥ 4 / 4

x ≥ 1

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

just use the app Math-way it had a feature where you can take a picture of it and it will answer and give an explanation for your problem

Find the value of x. Then find the measure of each interior angle. Show work algebraically

Answers

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

Find the perimeter and the area of the figure.
6 cm
7 cm
9.5 cm
6.5 cm

Answers

The perimeter and the area of the composite figure are 29 centimeters and 49.5 square centimeters, respectively.

How to determine the perimeter and the area of the figure

In this problem we have the representation of a composite figure, the result of the combination of a rectangle and a triangle. The perimeter of the figure is the sum of the sides and the area of the composite figure is the result of suming the areas of the rectangle and triangle:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

b - Baseh - HeightA - Area

And the perimeter and the area of the composite figure are now computed:

Perimeter

p = 6 cm + 7 cm + 6.5 cm + 9.5 cm

p = 29 cm

Area

A = 0.5 · (6 cm) · (2.5 cm) + (6 cm) · (7 cm)

A = 7.5 cm² + 42 cm²

A = 49.5 cm²

To learn more on composite figures: https://brainly.com/question/23082031

#SPJ1

Tomiko has a 1:24 scale drawing of her house. In the drawing the dimensions of the rectangular kitchen are 5 3/4 inches by 4 1/4 inches. What is the area, to the nearest square foot of Tomiko's actual kitchen?

Answers

Answer: 9 4/4 or 10 whole

Step-by-step explanation:

Does anyone know how to do this?

Answers

Answer:

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6

Answer:

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Step-by-step explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

Find the area.
2m
2m
3m

Answers

Answer:

5 m²

Step-by-step explanation:

please mark me as brainliest

1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment​

Answers

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3

15.. if that question is typed out correctly

Chris has 7/8 yards of purple ribbon and one whole one over 6 yards of ribbon Chris has a total of three holes to over 3 yards of ribbon how many yards of Chris's ribbon are neither purple nor green

Answers

Complete question :

Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.

Answer:

1.625 yards

Step-by-step explanation:

Purple ribbon = 7/8 yards

Green ribbon = 1 1/6 yards = 7/6 yards

Total ribbon = 3 2/3 yards = 11/3 yards

Ribbon that is neither purple nor green :

Total ribbon - (green + purple ribbon)

7/8 - (7/6 + 7/8)

11/3 - (28 + 21) / 24

11/3 - 49/24

= 1.625 yards

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