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cestrela7 [59]
3 years ago
14

Solve the system of two equations 2y=8 and 15y=2x-4

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
To find y, divide the first equation by 2.
  y = 4

To find x, use that value for y in the second equation. Add 4, then divide by 2.
  15·4 = 2x -4
  60 +4 = 2x
  64/2 = x = 32

The solution is (x, y) = (32, 4).

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A certain project can be completed by 28 men in 90 days. the numbers of men needed varies inversely to the time needed to comple
leva [86]

ANSWER

C. 35 men

EXPLANATION

Let m represent the number of men needed and d represent the number of days.

From the question,the number of men needed varies inversely to the time needed to complete the project.

We can write the inverse variation equation.

m =  \frac{k}{d}

where k is the constant of variation.

When m=28, d =90.

We substitute these values into the variation equation to determine the value of k.

28 =  \frac{k}{90}

k = 90 \times 28

k = 252

Now the equation becomes:

m= \frac{2520}{d}

When d=72,

m =  \frac{2520}{72}

m = 35

Therefore he needs to have 35 men working.

3 0
3 years ago
In the problem 3/4 • N=1, n must be
Serggg [28]

3/4 x n=1......n equals 4/3.

In order for n to equal 1 you have to find a number that will make 3/4 a whole number after you multiply it. Usually in problems like these the answer is usually the fraction but flipped around. So 3/4 and 4/3....when you multiply the    numerators you get 12 and when you multiply the denominator you get 12 so 12/12, which equals 1. hope that makes sense.

5 0
3 years ago
Read 2 more answers
What is the surface area of this cone?
DanielleElmas [232]

surface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ft

8 0
3 years ago
Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2. Step 1 - Fill in the missing number: A vertical line and horizont
wariber [46]

The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).

<h3>What is synthetic division?</h3>

In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.

The question is attached to the picture please refer to the picture.

We have a polynomial:

x³ - 3x² - 10x + 24

Which is divided by (x - 2)

We can divide using the synthetic division:

The first row: 1   -3   -10   24

The entry outside the row: 2

The missing value which is 2

k = 2

Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).

Learn more about the synthetic division here:

brainly.com/question/11850611

#SPJ1

6 0
2 years ago
Nicole has nine dollars to spend on cards she finds friends with the same amount of money to split the cost of a set once it cos
anyanavicka [17]

Answer:

Each Friend will get \frac{x}{3} cards.

Step-by-step explanation:

Let the number of cards be x.

Given:

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Also, she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds can be calculated by dividing the Cost of 1 set  with amount of money Nichole used to spend on cards.

Number of friends she finds = \frac{27}{9} = 3

Hence she finds 2 friends and 1 is nichole hence there are 3 persons carrying $9 to buy $27 set of card

Now, Number of cards each friend gets is equal to Total number of Cards in 1 set divided by number of people.

Number of cards each friend = \frac{x}{3}

Hence Each Friend will get \frac{x}{3} cards.

4 0
4 years ago
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