Mathematics College

A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in the fleet?

Answers

Answer 1

Answer:

120 sedans are in the fleet.

Step-by-step explanation:

A fleet of vehicles is comprised of 60 vans, 20 limos and X sedans.

It is given that 10% of all vehicles are limos.

Let all vehicles be n

10% × n = 20

0.10n = 20

n = [tex]\frac{20}{0.10}[/tex]

n = 200

Now we have to calculate the number of sedans.

So 60 vans + 20 limos + x sedans = 200

80 + x = 200

x = 200 - 80

x = 120

Therefore, 120 sedans are in the fleet.

Answer 2

Final answer:

By knowing that 10% of the fleet are limos and that there are 20 limos, we determine that the fleet has 200 vehicles. Subtracting the known number of vans and limos from the total, we find there are 120 sedans in the fleet.

Explanation:

To solve the problem, we need to determine the total number of vehicles in the fleet and use the information that 10% of all vehicles are limos. We know there are 60 vans and 20 limos already, and we want to find the number of sedans, denoted as X.

Since 10% of the vehicles are limos and there are 20 limos, that means there must be 200 vehicles in total (because 20 is 10% of 200).

So the equation to find the total number of vehicles is: 60 vans + 20 limos + X sedans = 200 vehicles. We already know that there are 60 vans and 20 limos, so we can say: 60 + 20 + X = 200. Solving for X, we subtract 60 and 20 from 200: X = 200 - 80 = 120.

Therefore, there are 120 sedans in the fleet.

Related Questions

Chi needs to simplify the expression below.

Answers

she should need to do the subtraction in the parenthesis first

Subtraction. In order of operations, parenthesis comes first. Since the subtraction term is in the parenthesis, you would do that first. Then it's exponents, multiply, divide, add, and subtract. In the case that there are more than one multiplication/division operation, you would do it in the order from left to right. Same for subtraction/addition. Hope this adds a bit to your knowledge! Have a nice day :)

Which of the following are equivalent to 85%? 0.085, 0.85, 85/100, 19/20 ? chose all that apply?

Answers

.85 and 85/100 are the only ones within the question that are equivalent to 85%.

What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.

Answers

Answer
132 〖in〗^2

Explanation
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2

Answer:

Option B. 132 inch²

Step-by-step explanation:

Since we know the formula to calculate the area of trapezoid is = [tex]\frac{1}{2}(height)(base)[/tex]

where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.

It's given in the question

Side BE = 12 inches

AB = 8 inches

DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches

Now we put these values in the formula

Area of trapezoid ABCD = [tex]\frac{1}{2}(AB+CD).(BE) = \frac{1}{2}(8 + 14).(12)=\frac{1}{2}(22)(12)=(11).(12)=132[/tex]

Therefore answer is Option B. 132 inch²

A grain of sand has a mass of 2.6 × 10–3 gram. A grain of salt has a mass of 6.5 × 10–2 gram. How many times greater is the mass of the grain of salt than the mass of the grain of sand?

Answers

Let
x-----------> mass a grain of salt
y-----------> mass a grain of sand
r----------> ratio mass a grain of salt than mass a grain of sand

we know that
x=6.5 × 10–2 gram
y=2.6 × 10–3 gram
r=x/y----------> r=[6.5 × 10–2]/[2.6 × 10–3]----------> r=25

the answer is
the mass of the grain of salt is 25 times greater than the mass of the grain of sand

Answer:

the person above me is correct

Step-by-step explanation:

what is the probability of picking a vowel from the word invite?

Answers

6 total letters, 3 vowels. 3/6, or 1/2.

1/2 because there are 3 vowels out of all 6 letters. So, 3/6 converts to 1/2

The set of all points equidistant from the endpoints of a segment What term matches the definition? A) Central Angle Eliminate B) Perpendicular Bisector C) Segment D) Skew Lines

Answers

It is a perpendicular bisector.

Hope i helped :)

For a class gardening project, 1/3 of Mrs. Montoya's students planted marigolds and 1/2 planted tulips. What fraction of the class planted either marigolds or tulips?

Answers

Hi there!

To find the total fraction of the class that selected both marigolds and tulips, we need to add the two fractions together.

1/3 + 1/2 = 2/6 + 3/6

2/6 + 3/6 = 5/6

Hope this helps!

Which of the following statements contain a variable?all that apply
A.there are 60 second in a minute
B.he is year old
C.double the number of pages in the book
D.the age of my friend

Answers

B. and C.
Gotta write more for the 20 characters limit

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it. Always Sometimes Never

Answers

The ratio of the areas of two similar polygons can be found by squaring the ratio of their perimeters or corresponding linear dimensions, but this method only works sometimes, specifically with similar polygons, and not with non-similar ones.

The ratio of the areas of two similar polygons is indeed found by taking the ratio of their corresponding linear dimensions and squaring it. This is because the area is a two-dimensional measurement, whereas perimeter and linear dimensions are one-dimensional. For similar polygons, which are polygons that have the same shape but may have different sizes, any linear dimensions (such as sides, perimeters, diagonals) are proportional.

When you have two similar polygons and you know the ratio of their perimeters, you can use this perimeter ratio to find the ratio of their corresponding side lengths since the ratio of the perimeters of similar polygons is equal to the ratio of their corresponding linear dimensions. After finding this linear ratio, you square it to obtain the ratio of their areas because if one dimension is multiplied by a scale factor 's', the area is multiplied by 's' squared (scale factor squared).

It is important to note, however, that this rule only applies to similar polygons (similarity) and not to polygons that aren't similar, since non-similar polygons do not have a constant ratio of corresponding linear dimensions. Therefore, to answer the original question, the method works sometimes, specifically when dealing with similar polygons.

A $65 coat is now on sale for $52. What percent discount is given?

Answers

20%
because if 65 is 100,
52 is 80% out of 65
so 100 - 80 is 20

The discount given is 20%! Hope this helps

if you live 1 mile from work and can walk 4mph how long will it take you to get to work

Answers

4 miles = 1 hour
1 mile = 1/4 hour

1/4 hour = 15 mins

---------------------------------------------------------------------------------
Answer: It takes you 15 mins to walk to work
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Marissa bought 2 1/2 gallons of orange juice to make punch.Marissa pours 1 1/2 cups of punch in each glass.How many fluid ounces is each serving

Answers

1.5 Times 8 =12 fl oz each serving
:)

1,600 principal earning 7%, compounded annually, after 33 years

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1600\\ r=rate\to 7\%\to \frac{7}{100}\to &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &33 \end{cases} \\\\\\ A=1600\left(1+\frac{0.07}{1}\right)^{1\cdot 33}\implies A=1600(1.07)^{33}[/tex]

Mark wants a new car that costs $30,000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he choose?

Answers

I would actually say that the best thing for Mark to do is to "Lease the car with a 0 percent down payment.". Sense he does not ave enough money to pay this car off, he would then have a better option to lease this car. By him doing this, it would help him to get to his destination faster and get things done for him.

Answer:

Mark should lease the car with 0% down payment.

Step-by-step explanation:

We know that the new car will cost = $30000.

Mark has only (500+300) = $800 with him.

That means Mark has only 2.66% of the cost of the car which is very less amount.

Thus Mark should have the car by leasing it with 0% down payment because in this way he will be able to buy or own the car with out giving any money for the car or without actually paying for the car and he can also at the same time can have his entire savings amount that he has as savings account and checking accounts.

Thus, he should lease the car with 0% down payment.

The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring. (1 point)

Answers

Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4

Answer:

c 2x+5 and 3x-4

Step-by-step explanation:

What is the greatest fraction you can make using the digits 4, 7, and 9?

Answers

Answer:

(7^9)/4 = 40,353,607/4

Step-by-step explanation:

Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.

If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,

(7!)^(9!)/4 has about 1 million digits

something like ...

((7!)^(9!))!/4 has many more digits than that

and you can keep piling on the factorial symbols to any desired depth.

A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers.Which statement is true?

P(green)≈0.21P(blue)≈0.41P(orange)≈0.

Answers

[tex]Probability = \frac{number of choice}{total number of choices} [/tex]
# green = 20
# orange = 44
# blue = 30
Total = 20 + 44 + 30 = 94

[tex]P(green) = \frac{20}{94} = 0.212 [/tex]
[tex]P(orange) = \frac{44}{94} = 0.468[/tex]
[tex]P(blue) = \frac{30}{94} = 0.319[/tex]

The one that matches is A

CAN SOMEONE HELP PLZ AND EXPLAIN BEC IF DONT DO GOOD I CANT GO TO MY DADS HOUSE THIS WEEK END

Answers

Hello!

6.
Since the area is that of a square, you know that all side lengths are the same.

Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².

[tex]A = a^{2} [/tex]
[tex]144 = a^{2} [/tex]
[tex] \sqrt{144} = a[/tex]
[tex]12 = a[/tex]

The length of the side of a square with an area of 144 in² is 12 in.

7.
Rational number.

8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.

Plug in your leg lengths:

a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4

20 PTS! What are the different shapes of a data set? Explain left and right skew and how this affects the mean of a data set.

Thanks, any help is much appreciated! :)

Answers

There are many shapes data sets could show. One example would be a symmetric data set. In this case both sides of the picture would look almost exactly or could be exactly (rarely) alike. In this case the mean could be used as a measure of center.

When the data is skewed right or left, the pictorial representation of the data will show less data points on the side where it is skewed and more data on the opposite side. The tail will be longer on the right if it is skewed right and vice versa.

In data that is skewed right, the mean will be greater than the median and if the data is skewed left, the mean will be less than the median. Tje mean is not the measure of center when the data is skewed.

Simplify. 7 to the second power + 3 (-9-7) + 88 divides by 8 + 3 to the second power

Answers

Hello!

7[tex] x^{2} [/tex]+3 x - 16 + 88 ÷ 8 + [tex] 3^{2} [/tex]

49 + 3 x -16 + 88 ÷ 8 + [tex] 3^{2} [/tex]

49 + 3 x - 16 + 88 ÷ 8 + 9

49 - 48 + 88 ÷ 8 + 9

49 - 48 + 11 + 9

= 21
Your answer is 21.

Brainliest please?

What is 0.125 Point rounded to the nearest hundredth

Answers

all you need to do is know what order (after decimals go in). Before the decimal you have, ones, tens, hundreds, etc. However, after the decimal you have tenths, hundredths. thousandths, etc. So the second value place is the hundredth place. You also have to round, so when you look at the 2( hundredths place) you look right one at the 5 (thousandths place) and see that it is somewhere from 5-9 so it makes the 2 a 3...so your answer is...

0.13

0.125 rounded to the nearest hundredth is 0.13.

We have,

To round to the nearest hundredth, we look at the digit in the thousandth place, which is 5.

Since 5 is greater than or equal to 5, we round up the hundredth digit (2) by increasing it by 1.

Therefore,

0.125 rounded to the nearest hundredth is 0.13.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Add the sum of the numbers (−5.4) and (+8.2) to the opposite number of (−2 3/4 ).

Answers

The number are (−5.4) and (+8.2).
Sum of these two numbers are = (−5.4) + (+8.2)
= -5.4 + 8.2
= 2.8
Now we are going to add this to the opposite number of (−2 3/4 ).
(−2 3/4 ) = -11/4 = -2.75
now opposite number of -2.75 is 2.75
Thus,
2.8 + (2.75)
= 2.8 + 2.75
= 5.55

Mr,angelo sliced two pizzas into equal parts,what fraction greater than 1 names both pizzas

Answers

I really love pizza and would like to help you with this problem. So we have two pizzas. Maybe you like Neapolitan Pizzas, or Ham and Cheese Pizza, or Pepperoni Pizza, or Hawaiian Pizza. Anyway, no matter the type of pizza what is really important is that we can write the previous statement as follows:

[tex]Number \ of \ pizzas=2[/tex]

Each pizza is sliced as shown in the figure below, so we can write the new number of pizzas as follows:

[tex]Number \ of \ pizzas=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}[/tex]

But the problem is asking for a fraction greater than 1 to name both pizzas, then:

[tex]Number \ of \ pizzas=\frac{4}{2} \ or \ \frac{2}{1}[/tex]

Jan saw 9 full moons in 252 how do I write this in a ratio

Answers

9:252

Im sure the 252 means the days.

9:252 OR 9/252 There is the ratio and the proportion.

solve this equation 12y=132

Answers

To solve this equation you have to find the value of y. Ask yourself "What times 12 can give me 132?"

132 / 12 = 11

12×11=132

y = 11

you have a piggy bank containing a total of 93 coins in dimes and quarters. If the piggy bank contains $14.85, how many dimes are there in piggy bank

Answers

Let d = number of dimes.
Let q = number of quarters.

The total number of coins is 93, so the first equation is

d + q = 93

The value of 1 dime is $0.10. The value of 1 quarter is $0.25.
d dimes are worth 0.1d, and q quarters are worth 0.25q.
The total value of the coins is $14.85, so that gives us our second equation.

0.1d + 0.25q = 14.85

Now we have a system of two equations in two unknowns.

d + q = 93
0.1d + 0.25q = 14.85

Rewrite the first equation. Then multiply both sides of the second equation by -10, and write it underneath. Then add the equations.

d + q = 93
-d - 2.5q = -148.5
------------------------
-1.5q = -55.5

Divide both sides by -1.5.

q = 37

Now substitute 37 for q in the first original equation and solve for d.

d + q = 93

d + 37 = 93

Subtract 37 from both sides.

d = 56

Answer: There are 56 dimes in the piggy bank.

VWXY is a rhombus. find the measure

Answers

8. 6m-12
9. 6m-12+4m+4
10 is the same as above.
I'm not sure about 11.

I don't have access to a calculator. LOL

8)
rhombus, all sides are equal
so
6m - 12 = 4m+4
2m = 16
m = 8

VW = 6(8) - 12
VW = 48 - 12
VW = 36

XY = VW = 36

9)
3n^2 - 0.75 = 90
3n^2 = 90.75
n^2 = 30.25
n = 5.5

so
<YVW = 2(9*5.5 +4) = 2(53.5) = 107 degrees

10)
<VYX = 1/2(360 - 2*107)
<VYX = 1/2 (360 - 214)
<VYX = 1/2 (146)
<VYX = 73 degrees

11)
<XYZ = 1/2 (73) = 36.5 degrees

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!! This is the graph of f(x). What is the value of f(2)?

Answers

the question answers are A 2 B 16 C 8 D 4

The number of miles that a commuter travels a car per day for one seven day work week is as follows: 19, 28, 17, 39, 22, 44, 56. The number of miles that a commuter travels on a bus per day for one seven day work week is as follows: 32, 26, 25, 40, 39, , 49, 22. Which method of transportation has a higher commuter average? Type either car or bus in the space provided. Use all lower case letters and do not use spaces in your answer.

Answers

car:
19 + 28 +17 +39 + 22 + 44 + 56 = 225
225/7 = 32.14

bus:
32 + 26 +25 + 40 + 39 + 49 + 22 = 233
233/7 = 33.29

the bus has the higher average

Suppose 6 of 15 students in a grade-school class develop influenza where 20 percent of grade-school students nationwide develope influenza.

Answers

I am not sure what the question is here. I can tell you how to find the percent of kids that developed influenza in that class. We can compare it to the 20% of students nationwide. There could many different questions that stem from the piece of information you gave.

To find the percent of kids that developed influenza in that class do 6÷15 which gives you
.4 and written as a percent would be 40%.

Please message me if you have any questions! Hope this helps!

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