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timofeeve [1]
2 years ago
15

3x -2y = -6 and y = x+5

Mathematics
1 answer:
sweet [91]2 years ago
5 0

Answer:

x = 4, y = 9.

Step-by-step explanation:

3x -2y = -6 and y = x+5

Substitute y = x + 5 in the first equation:

3x - 2(x + 5) = -6

3x - 2x - 10 = -6

x = -6 + 10

x = 4

So y = 4 + 5 = 9.

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Please answer TIMED i will give 35 points.
NNADVOKAT [17]

Answer:

32 units squared

Step-by-step explanation:

This is kind of a weird shape, so split it into smaller shapes, in this case two triangles and a rectangle.  

Both of the triangles have a base of 8 and a height of 2.  Multiply the base and the height together, then divide by 2.  8*2/2 equals 8, so the area of each triangle is 8.

For the rectangle, the length is 2, and the width is 8.  Multiply the length and the width together to get 16.  

Finally, add the areas of all those smaller shapes together to get the area of the whole shape, 32 units squared.

5 0
3 years ago
Change 2x-y=-4 into slope-intercept form with steps
Shtirlitz [24]

Answer:

y=2x - 4

Step-by-step explanation:

slope intercept is y = mx+b, where m is slope and b is y intercept.

subtract 2x from both sides of the equation

-y = 4 - 2x

multiply each term in -y = 4 - 2x by -1

(-y) . -1 = 4 . -1 + (-2x) . -1

y= 4. -1 + (-2x) . -1

simplify

y= -4 + 2x

Reorder

y= 2x - 4

7 0
2 years ago
It’s Friday guys. have a good day c:
RoseWind [281]

Answer:

thx

Step-by-step explanation:

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3 0
2 years ago
Find the percent of the number. 30% of 90 is =
Vedmedyk [2.9K]

Answer:

27

Step-by-step explanation:

30% of 90 is 27

30/100 = ?/90

by cross multiplying, we can see that 30 times 90 is equal to 2700.

2700/100 = 27

? = 27

PLEASE GIVE BRAINLIEST!

Hope this helps :)

6 0
2 years ago
Ben makes only tables and chairs at his wood-making shop.
bonufazy [111]

What is the maximum number of chairs and tables Ben can make in a month.

Answer:

Maximum number of tables he can make per month = 100 tables

Maximum number of chairs he can make per month = 400 chairs

Step-by-step explanation:

He is not able to make more than 500 pieces of furniture per month

Also, he needs to make at least 25 tables and at least 100 chairs each month.

x is number of tables and y is number of chairs per month.

Thus, inequality to represent this is;

x + y ≤ 500

Constraints are;

x ≥ 25

y ≥ 100

Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs

Thus, ratio of tables to chairs should always be 1:4

Thus,

Maximum number of tables per month = 1/5 × 500 = 100 tables

Maximum number of chairs per month = 4/5 × 500 = 400 chairs

3 0
3 years ago
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