A car company builds two versions of one of its models-a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at a dock. Tom
counts 18 station wagons and then overhears a dock worker call out, "Okay, that's all of the wagons ... bring out the sedans!" How many sedans were on the ship? Write the number only.

Answers

Answer 1

Answer:

Number of sedans on the ship = 99

Step-by-step explanation:

Given that:

Ratio of sedans to station wagons = 11 : 2

Number of station wagons count by Tom = 18

Number of sedans = x

Ratio of sedans to station wagons = x : 18

The relationship is directly proportional;

11 : 2 :: x : 18

Product of mean = Product of extreme

2x = 11*18

2x = 198

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{198}{2}\\x=99[/tex]

Hence,

Number of sedans on the ship = 99


Related Questions

Keiko is getting balloons for her grandfather's birthday party. She wants each balloon string to be 12 feet long. At the party store, string is sold by the yard. If Keiko wants to get 46 balloons, how many yards of string will she need? 1 foot = 1 3 yard

Answers

Answer: 184 yards

Step-by-step explanation:

Since she wants each balloon string to be 12 feet long and she wants to get 46 balloons, the total length of strings would be:

= 46 × 12 feet

= 552 feet

Since 1 yard = 3 feet. 552 feet would be converted to yard which would be:

= 552/3

= 184 yards

A gear rotates eight times every 15 seconds how many seconds does it take to rotate 24 times

Answers

Answer:

360

Step-by-step explanation:

Answer:

It would take 45 seconds for a gear to rotate 24 times.

Step-by-step explanation:

8 goes into 24 three times. Just multiply 15 by three.

Hope this helps!

find the inverse of f(x) =X+4/x

Answers

Answers and steps in the pic..

there are 2 options....choose what you want..

Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
12 divided by three-fourths
12 times three-fourths
Three-fourths divided by 12
Four-thirds divided by 12

Answers

C. I took the test just a min ago

Rewrite the radical expression as an expression with a rational exponent.


pls help

Answers

Answer:

come on baexz f** me in 69

Answer:

[tex]\sqrt[7]{x^{3} }= x^{\frac{3}{7} }[/tex]

Step-by-step explanation:

In order to solve this question we need to understand the following.

[tex]\sqrt{x}[/tex] = [tex]x^{\frac{1}{2} }[/tex]

[tex]\sqrt[3]{x} = x^{\frac{1}{3} }[/tex]

[tex]\sqrt[4]{x}= x^{\frac{1}{4} }[/tex]

(Notice that the numerator of the fraction is the power of the x that is being squared)

If you need proof here it is.....

[tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]

[tex](\sqrt{x} )^{2}[/tex] = [tex](x^{\frac{1}{2} } )^{2}[/tex]

x = x

Now that we got that out of the way we can rewrite [tex]\sqrt[7]{x^{3} }[/tex] as........

[tex]\sqrt[7]{x^{3} }= x^{\frac{3}{7} }[/tex]

Find the x and y intercepts of y=-x+6

Answers

Answer:

the X intercept may be -1 and yintercept no idea

x intercept is when y=0
when y=0, x= -6

y intercept is when x=0
when x=0, y=6

Pls help me I don’t understand this!!! Happy new year everyone.

Answers

What the guy above me said

steven has £1100
he pays £530 for a new tv
his motrtgage is £480

how much money does he have left after playing for the tv and paying for the tv and playing his mortgage

Answers

Answer:

$90

Step-by-step explanation:

$1,100

-$530

-$480

______

$90


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

[tex]\displaystyle m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 40)

Point (20, 50)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract:                              [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify:                               [tex]\displaystyle m=\frac{1}{2}[/tex]

4(c - 3)=8 What is the value of the C? i really need help, i will mark brainliest

Answers

Answer:

c = 5

Step-by-step explanation:

4 (c - 3) = 8

4c - 12 = 8

     +12  +12

4c = 20

c = 5    Check:

4 (5 - 3) = 8

20 - 12 = 8, the answer is correct

Express {x+1}{2x-3} as a trinomial.

Answers

Answer:

[tex]2x^2 + 5x + 3[/tex]

Step-by-step explanation:

First, expand the original equation:

(x + 1)(2x + 3)

[tex]2x^2 + 3x + 2x + 3[/tex]

Now simplify:

[tex]2x^2 + 5x + 3[/tex]

And that's your answer!

60 boys in a hostel have food for 30 days. How long would the food last for 72 boys. Tell me how to do it with explanation please​

Answers

Answer:

The food will last for 25 days with 72 boys

Step-by-step explanation:

Proportions can be used to find the number of days the food will last for 72 boys.

60 boys in a hostel have food for 30 days.

Let x be the number of days for which the food will last

The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional

Which means

[tex]60*30 = 72 * x\\x = \frac{60*30}{72}\\x = 25[/tex]

Hence,

The food will last for 25 days with 72 boys

A store has two different sizes of ice cream the smaller container cost 3.87 for 48 ounces the larger container cost 6.42 which ice cream cost less per ounce

Answers

Consider the complete question is "A store has two different sizes of ice cream on sale this week. The smaller container costs $3.87 for 48 ounces. The larger container costs $6.42 for 128 ounces. which ice cream costs less per ounce?"

Given:

The smaller container costs $3.87 for 48 ounces.

The larger container costs $6.42 for 128 ounces.

To find:

Which ice cream costs less per ounce?

Solution:

We know that

[tex]\text{Cost per ounce}=\dfrac{\text{Total cost}}{\text{Number of ounces}}[/tex]

Using this formula, we get

Per ounce cost of small container [tex]=\dfrac{3.87}{48}[/tex]

                                                         [tex]=0.080625[/tex]

                                                         [tex]\approx 0.08[/tex]

Per ounce cost of larger container [tex]=\dfrac{6.42}{128}[/tex]

                                                         [tex]=0.05015625[/tex]

                                                         [tex]\approx 0.05[/tex]

Since, 0.08 > 0.05 therefore, the per ounce cost of larger container is less.

In solving the equation 2x+5=9, which property of equality do we use first? Why?

Answers

Property of Addition. sorry if i’m wrong

Help please due soon

Answers

Answer:

16

Step-by-step explanation:

D

Plz answer I will give brainlest tag

Answers

Answer:

135/8

Or

16.875

Step-by-step explanation:

(3²-2²)(⅔)^-3

(9-4)(3/2)³

5(27/8)

135/8

16.875

What is the average rate of change of f(x) = 5x – 7 from x = -3 to x = 7?

Answers

Answer:

[tex]f(x) = 5x - 7 \\ change = f(7) - f( - 3) \\ = ((5)(7) - 7) - ((5)( - 3) - 7) \\ = (35 - 7) - ( - 15 - 7) \\ = (28) - ( - 22) \\ = 50 \\ average \: change = \frac{change}{2} \\ = \frac{50}{2} \\ = 25[/tex]

The rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.

A function f(x) = 5x - 7 is given which changes from x = -3 to x = 7.

We have to find out the average rate of change for the given function.

What is the average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] ?

The average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] can be given by a formula which is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex].

As per the question ;

The function is f(x) = 5x - 7

So,

At x = -3

f(x) = 5 × -3 - 7

f(x) = -15 - 7

f(x) = -22

At x = 7

f(x) = 5 × 7 - 7

f(x) = 35 - 7

f(x) = 28

Let's use the formula to find average rate of change of function ;

i.e.,

=  [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex]

= [tex]\frac{(28)-(-22)}{7-(-3)}[/tex]

= [tex]\frac{28+22}{7+3}[/tex]

= [tex]\frac{50}{10}[/tex]

= 5

Thus , the rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.

To learn more about rate of change of functions click here ;

https://brainly.com/question/19468803

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Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?

Answers

Answer:

Step-by-step explanation:

Equation of a line passing through (h, k) in point slope form is given by,

y - k = m(x - h)

From the graph attached,

Slope of the line passing through (6, 12) and (3, 21),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{21-12}{3-6}[/tex]

   = -3

Therefore, point - slope form of the line passing through (3, 21) will be,

y - 21 = -3(x - 3)

Now convert this equation in slope intercept form,

y = -3x + 9 + 21

y = -3x + 31

(b). For x = 1 Or day 1

  y = -3(1) + 31

  y = 28 minutes

  Therefore, Phillip took 28 minutes initially to deliver his packages.

Slope of the line states the decrease in the delivery time per day that is 3 minutes per day.

Please help me as soon as possible

Answers

Answer:

A

Step-by-step explanation:

A is the correct answer

(I’ll give brainliest)

Answers

Answer:

52.5n+449.85

Step-by-step explanation:

15 x (3.5n +29.99)

15x (3.5n) + 15 x (29.99)

52.5n + 499.85

unrelated but I just had this problem on a homework assignment on the same assignment. Cool coincidence am I right.

The time of a race is 13.7seconds rounded to 1 decimal place.If the time was x seconds find the inequality in x

Answers

Answer:

13.65 ≤ x < 13.75

Step-by-step explanation:

Let x represent the time in seconds. Since the time is 13.7 seconds when rounded to 1 decimal place, hence for this to be possible the minimum value of x is given as x ≥ 13.65 because 13.65 rounded to 1 decimal place is 13.7 seconds. Also, the maximum value of x is given as 13.75 because 13.75 rounded to 1 decimal place is 13.8 seconds.

Therefore the inequality to represent x is:

13.65 ≤ x < 13.75

Overview
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4/28
Expand and simplify (2x - 3)(3x + 4)​

Answers

Answer:

6x²-x-12

Step-by-step explanation:

(2x - 3)(3x + 4)​

6x²+8x-9x-12

6x²-x-12

Find the equation of the line specified.
The line passes through the points (-2, 3) and (-4,7)
a. y = -2x-1
y = -4x-1
b. y = -2x +3
d. y = -2x + 7
C.
Please select the best answer from the choices provided

Answers

Find the slope

7-3 divided by -4--2

Slope is -2

substitute point in y=mx+b

7= -2(-4)+b

7=8+b

Move 8 to the other side as a negative number

b is equal to -1

Putting it all together we have y= -2x-1

Therefore, the answer is option a

Answer:

A……

Step-by-step explanation:

If 5x + 2 = 17, then 10x + 4 = 34 True False selle Corporation. All Rights Reserved​

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

HELP ME PLEASE!!!!!!!

Answers

Answer:

1. (0,0) (3,1) (6,2)

2. proportinal

3. im so sorry but i cant see that one i really am sorry!

Step-by-step explanation:

i hope i helped brainliest?

What is the product of 3.06 and 4.1 rounded to the nearest hundredth?

Answers

Answer:

12.55

Step-by-step explanation:

The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given decimal numbers are 3.06 and 4.1.

Now, product =3.06×4.1

= 12.546

To the nearest hundredth is 12.55

Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ2

Will give Brainliest!!!
The ordered pair below represents a point on the line 3y + 4x = 5. Enter the missing y-coordiante for this point in the box.

(−14,?)

Answers

Answer:

(-1/4, 2)

Step-by-step explanation:

Substitute the given information into the equation and solve for y.

 3y +4(-1/4) = 5

 3y -1 = 5 . . . . . . simplify

 3y = 6 . . . . . . . . add 1

 y = 2 . . . . . . . . . divide by 3

(The other person who said -5 is incorrect and he gave no explination)

Simplify: 3 - ( 5 - 6 / 3 )​

Answers

Answer:

0

Step-by-step explanation:

3 - ( 5 - 2)

3 - ( 3)

3-3

0

As an estimation we are told 5 miles is 8 km.
Convert 17.6 km to miles.

Answers

Answer:

17.6 kilometers are equal to 11 miles.

Step-by-step explanation:

Given that:

8 kilometers = 5 miles

Unit rate in terms of kilometer.

1 kilometer = 5/8 miles

Now,

We have to convert 17.6 kilometers in miles

17.6 kilometers = [tex]\frac{5}{8}*17.6[/tex]

17.6 kilometers = [tex]\frac{5}{8}*\frac{176}{10}[/tex]

17.6 kilometers = 11 miles

Hence,

17.6 kilometers are equal to 11 miles.

How would you describe the graph of the function in interval 2? Select all that apply.

Answers

Answer:

Decreasing

Step-by-step explanation:

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