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malfutka [58]
2 years ago
8

3x + 5y = 7 How to solve it

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0

Answer:

x=1 and y=4/5

Step-by-step explanation:

<u>Given system of equations</u>

3x+5y=7

5x+10y=13

<u />

<u>Multiply first equation by 2</u>

2(3x+5y)=2(7)

6x+10y=14

<u>Eliminate y-variable to get "x"</u>

 6x+10y=14

<u>- 5x+10y=13</u>

         x = 1

<u>Substitute x=1 into either equation and find "y"</u>

3x+5y=7

3(1)+5y=7

3+5y=7

5y=4

y=4/5

Therefore, x=1 and y=4/5

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On Monday 4 bricklayers took 3 hours to lay a total of 4200 bricks.
lisabon 2012 [21]
<h2>Hello!</h2>

The answer is:

It will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

<h2>Why?</h2>

From the statement, we know that on Monday, bricklayers took 3 hours to lay a total of 4200 bricks.

So, we have that the rate of the four bricklayers is given by the following equation:

Production=Rate*Time\\\\Rate=\frac{Production}{time}

Rate=\frac{4200bricks}{3hours}=\frac{1400bricks}{hour}

Therefore, we have that the rate of the four bricklayers is 1400 bricks per hour, meaning that each bricklayer can lay 350 bricks per hour.

Now, to calculate how many hours it will take to the 2 bricklayers to lay a total of 3150, we need to divide the calculated rate (for bricklayers) by two, since there are only 2 bricklayers working on Tuesday.

So, calculating the time, we have:

Production=\frac{Rate}{2}*Time

3150bricks=\frac{\frac{1400bricks}{hour}}{2}*Time

3150bricks*2*\frac{1hour}{1400bricks}=Time

6300bricks*\frac{1hour}{1400bricks}=Time

Time=4.5hours

Hence, we have that it will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

Have a nice day!

7 0
3 years ago
1. Find two numbers with a common factor of 3 only.
Mnenie [13.5K]

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and  6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and  9.​

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

8 0
3 years ago
Approximate the value of the series to within an error of at most 10−510−5. ∑n=1[infinity](−1)n+1n7 ∑n=1[infinity](−1)n+1n7 Acco
alexgriva [62]

Answer:

0.992596

Step-by-step explanation:

3 0
4 years ago
Can someone help please???
Dovator [93]

Answer:

Length: x + 5

Step-by-step explanation:

x² + 8x + 15 = length × width

x² + 8x + 15

x² + 5x + 3x + 15

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Width: (x + 3)

Length: (x + 5)

4 0
3 years ago
5 tripled and another question is a number plus 14 equals to 9
hjlf

Answer:

5 tripled is 15, x=5

Step-by-step explanation:

14-9=5 which is the number you're looking for, and 3×5=15

3 0
3 years ago
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