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IgorC [24]
2 years ago
9

Y = x + 2 5x - 4y = -3 Solving systems by equations

Mathematics
1 answer:
Lunna [17]2 years ago
6 0

Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

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Find the length of the line segment AB where A (6, 12) and B (1,0) A) 15 units B) 12 units C) 13 units D) 10 units​
butalik [34]

Answer:

C] 13 units

Step-by-step explanation:

5 0
2 years ago
Kasey asked 6 of her friends how many episodes of their favorite show they
ivanzaharov [21]

Answer:

A

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10        Multiply each side by 6

43 + m = 10 * 6

43 + m = 60          Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

3 0
3 years ago
A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm. What is the volume of the bowl?
Delicious77 [7]

Answer:

(4500(Pi))/2 or 7068.585

Step-by-step explanation:

r = 15 cm

volume of a sphere:

(4/3)(Pi)r^3

Therefore:

(4/3)(Pi)15^3

15^3 = 3375

4/3 * 3375 = 4500

and since it is half a sphere (it is a bowl) the answer would be divided by two:

4500(Pi) divided by 2

14137.17 divided by 2

5 0
3 years ago
find three consecutive integers such that the sum of twice he smallest and 3 times the largest is 126.
vladimir1956 [14]
a,a+1,a+2\ \ -\ three\ consecutive\ integers\\\\
2a+3(a+2)=126\\\\
2a+3a+6=126\\\\
5a+6=126\ \ \ |Subtract\ 6\\\\
5a=120\ \ \ |Divide\ by\ 5\\\\
a=24\\\\Numbers\ are:\ 24,25,26.
8 0
3 years ago
It takes a printer 6 hours to print the class schedules for all of the students in a college. A faster printer can do the job in
poizon [28]

The number of hours that it'll take both printers to do the job is 2.4 hours.

<em>Number of hours used by printer A = 6 hours</em>

<em>Number of hours used by printer B = 4 hours </em>

<em />

Therefore, the number of hours that'll be used by both printers will be calculated thus:

1/6x + 1/4x = 1

Using 12 as the LCM

2x + 3x = 12

5x = 12

Divide both side by 5

5x/5 = 12/5

x = 2.4 hours

Read related link on:

brainly.com/question/25115037

3 0
2 years ago
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