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3 years ago

There are 250 vehicle's at the dealership and 75 of them are SUV's. What percent of the vehicle's are SUV's?

Mathematics

2 answers:

svet-max [94.6K]3 years ago

5 0

There are 250 vehicles at the dealership. 75 of the vehicles at the dealership were SUV's.

We can find out the percent of SUV's by turning it into a fraction. $\frac{75}{250}$ represents the number of SUV's out of all the cars at the dealership. We can reduce $\frac{75}{200}$ to $\frac{3}{10}$ by dividing both the numerator and denominator by the greatest common factor of 75 and 250 using 25.

3 ÷ 10 ≈ 0.3

0.3 × 100 ≈ 30%

Therefore, 30% of the vehicles at the dealership were SUV's.

iogann1982 [59]3 years ago

3 0

So,

To find the percent of SUV's out of the total number of cars, simply divide the number of SUV's by the total number of cars and simplify.

$\frac{75}{250} = \frac{3*5*5}{2*5*5*5}=\frac{3}{2*5}=\frac{3}{10}$

This equals 0.3.

Now, convert 0.3 to a percent by moving the decimal point two places to the right and adding a percent sign.

0.3 --> 30%

30% of the cars at the dealership were SUV's.

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An equivalent expression with a rational denominator is...

Whitepunk [10]

Given the expression,

$(8x-56x^2)/(\sqrt{14x-2})$

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

$[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]$

If we have $(\sqrt{a})(\sqrt{a})$ , we will get $\sqrt{a^2}$ by multiplying them. And $\sqrt{a^2} = a$ .

So here in the problem, we will get,

$[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)$

Now in the numerator we have $(8x-56x^2)$ . We can check 8x is common there. we will take out -8x from it, we will get,

$-8x(-1+7x)$

$-8x(7x-1)$

And in the denominator we have $14x-2$ . We can check 2 is common there. If we take out 2 from it we will get,

$2(7x-1)$

So we can write the expression as

$[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]$

$(7x-1)$ is common to the numerator and denominator both, if we cancel it we will get,

$(-8x)(\sqrt{14x-2})/2$

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

$(-4x)(\sqrt{14x-2})$

$(-4x)(14x-2)^(1/2)$

So we have got the required answer here.

The correct option is the last one.

4 0

2 years ago

The vertex of this parabola is at (2,-4). When the y-value is -3 and the x-value is -3. What is the coefficient of the squared e

krok68 [10]

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3 years ago

An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli

kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)= ∑P(X=i) from i=0 to i=50 =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

8 0

3 years ago

What is 4.3(v+2.5)=8.11+4v

True [87]

Answer:

-8.8

Step-by-step explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

$4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v$

We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.

$4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v$