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grigory [225]
2 years ago
12

A.

Mathematics
2 answers:
GalinKa [24]2 years ago
5 0

Answer:

  • 30 cars

Step-by-step explanation:

<u>3 cars made up 10% of all the cars x:</u>

  • 3 ⇒ 10%
  • x ⇒ 100%
  • x = 3*100/10 = 30
Varvara68 [4.7K]2 years ago
3 0

Answer:

Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.

 

If we call the number of cars c, then our proportion is 3/10 = c/100.

 

Cross multiplying, we get 10c = 300.

 

Dividing both sides by 10, c = 30.

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5
S_A_V [24]

Answer:

C

Step-by-step explanation:

5 + 6 + 4 = 15

Small - 5/15 = 1/3

Large - 4/15 = 4/15

The probability that he grabs a Large-sized shirt would be 4/15, which is around 26.7%. After that, he will grab a Small-sized shirt, which would have a probability of 33.33%. After combining the two, the only answer choice that could possibly make any sense is C. (using the process of elimination.)

7 0
3 years ago
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
If m^1=m^2 then m^ 1 is?
e-lub [12.9K]

Answer:

90

Step-by-step explanation:

5 0
3 years ago
A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is t
AfilCa [17]

Answer:

as shown in the attached file.

Step-by-step explanation:

The detailed, step by step explanation and application of integral with appropriate substitution to get the expression for the time of extinction is as shown in the attachment.

4 0
3 years ago
Write the product using exponents. (very easy)
exis [7]

Answer:

-12^5

Step-by-step explanation:

5 0
3 years ago
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