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rewona [7]
3 years ago
8

6y + 4 – 3y = -5 + y + 17

Mathematics
2 answers:
Zolol [24]3 years ago
7 0

Answer:

y = 4

Step-by-step explanation:

6y + 4 - 3y = -5 + y + 17

First, we have to combine like terms on each side of the equation:

3y + 4 = y + 12

Then, we have to combine the terms from both sides of the equation:

3y + 4 = y + 12

      -4          -4

3y = y + 8

-y    -y

2y = 8

Then, we divide so we only have y on the left side:

2y = 8

/2     /2

y = 4

Hope this helps :)

Luda [366]3 years ago
5 0

Answer:

Step-by-step explanation:

6y+4-3y=-5+y+17

6y-3y-y= -5+17-4

2y=8

y=4

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Find the volume of the cone of with a height of 6cm and a diameter of the base or 6cm
Ainat [17]

Answer:

The volume of cone v= 113.04 cm³.

Step-by-step explanation:

Formula used to find volume of cone is:

v= \pi * r^2 * \frac{h}{3}

where r is the radius and h is the height of cone.

In the given question we are given:

height h= 6 cm

diameter d= 6 cm

We know radius r = d/2 = 6/2 = 3 cm

so, volume will be:

v= \pi * 6^2 * \frac{3}{3}

v= \pi * 36

v=113.04

So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm

7 0
3 years ago
Find the midpoint of the line segment whose end points are (0,1/2) and (0,3/4)
LiRa [457]

Answer:

The midpoint is 0,5/8

Step-by-step explanation:

The formula for midpoint is (x1+x2)/2 , (y1+y2)/2

                                              (0+0)/2  , (1/2 + 3/4) /2

Lets get a common denominator  of 4

1/2 *2/2 + 3/4 = 2/4 + 3/4 = 5/4

5/4 ÷ 2

Copy dot flip

5/4 * 1/2

5/8


The midpoint is 0,5/8

3 0
3 years ago
An angle measures 44° more than the measure of a complementary angle. What is the measure of each angle?
Cerrena [4.2K]

x +x+44= 180

2x=136

x=68

68° ; 112°

3 0
3 years ago
Use any method to determine whether the series converges or diverges. Give reasons for your answer. sin Choose the correct answe
Luden [163]

Answer:

hello the series to your question is missing attached below in the solution is the missing series

Answer :  The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )

Step-by-step explanation:

Attached  below is the detailed solution of the question and the series is divergent because p = 1/5 < 1

7 0
3 years ago
The probability that a certain make of car will need repairs in the first seven months is 0.9. A dealer sells three such cars. W
aleksandr82 [10.1K]

Answer:

0.9990 = 99.90% probability that at least one of them will require repairs in the first seven months.

Step-by-step explanation:

For each car, there are only two possible outcomes. Either they will require repair in the first seven months, or they will not. The probability of a car requiring repair in the first seven months is independent of other cars. 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.

The probability that a certain make of car will need repairs in the first seven months is 0.9.

This means that p = 0.9A dealer sells three such cars.

A dealer sells three such cars.

This means that n = 3

What is the probability that at least one of them will require repairs in the first seven months?

Either none will require repairs, or at least one will. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X > 0) = 1

We want P(X > 0). So

P(X > 0) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{3,0}.(0.9)^{0}.(0.1)^{3} = 0.001

Then

P(X > 0) = 1 - P(X = 0) = 1 - 0.001 = 0.9990

0.9990 = 99.90% probability that at least one of them will require repairs in the first seven months.

4 0
3 years ago
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