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yanalaym [24]
3 years ago
13

What is the equivalent expression of 8x+7y+5x+4y+2y

Mathematics
1 answer:
Natalija [7]3 years ago
4 0

Answer:

13x+13y

Step-by-step explanation:

(combine like terms)

8x+5x=13x

7y+4y+2y=13y

hope this helped you!

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Select proportional or not proportional to correctly classify the pair of ratios. 1.2/3 and 1.8/4.5
Gnesinka [82]

Answer:

Proportional.

Step-by-step explanation:

Find the cross products. If they are same, then they are proportional.

\dfrac{1.2}{3} = \dfrac{1.8}{4.5}

Cross multiply,

1.2 * 4 .5       =         3*1.8

      5.40      = 5.4

So, they are proportional.

Or

Multiply the numerator and denominator of 1.2/3 by 1.5

\dfrac{1.2*1.5}{3*1.5}=\dfrac{1.8}{4.5}

From this we come to know they are proportional

Or

1.2 : 3 :: 1.8 : 4.5

Product of means = 3*1.8 = 5.4

Product of extremes = 1.2*4.5 = 5.4

Product of means = product of extremes. So, they are proportional.

6 0
2 years ago
Read 2 more answers
PLEASE ANSWER QUICKLY Which expression represents the inverse of the matrix below?
Andre45 [30]

Answer:D

Step-by-step explanation:

7 0
3 years ago
Travis eats 28 cookies in 4 weeks, Eating the same number of cookies each week. Dylan eats 24 cookies in three weeks, eating the
dlinn [17]

Answer:

Travis needs to slow down

Step-by-step explanation:

Stop eating cookies, Travis.

5 0
3 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
How do I solve 2cos(x)=2sin(2x)
Vedmedyk [2.9K]
2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
4 0
3 years ago
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