MATHEMATICS MIDDLE SCHOOL

What are the intercepts of 2x + 3y – 6z = 30?

Answers

Answer 1
Answer:

Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)

Solution:

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

Thus, at x- axis:

y and z both are zero

So substitute y = 0 and z = 0 in given equation

2x + 3(0) - 6(0) = 30

2x = 30

x = 15

Thus the intercept is (15, 0, 0)

Thus at y - axis:

x and z both are zero

So substitute x = 0 and z = 0 in given equation

2(0) + 3y -6(0) = 30

0 + 3y + 0 = 30

3y = 30

y = 10

Thus the intercept is (0, 10, 0)

Thus at z - axis:

x and y are both zero

So substitute x = 0 and y = 0 in given equation

2(0) + 3(0) - 6z = 30

-6z = 30

z = -5

Thus the intercept is (0, 0, -5)

Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)

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A vat has a capacity of 642 fl oz. estimate the capacity in cups

Answers

Solve:- 
1 cup = 8 fl oz

Convert:-

642 ÷ 8 = 80.25

642 fl oz = 80.25 cups
About 80 cups

Taylor is building dog houses to sell. Each doghouse house requires free full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many dog houses can tell him make from 12 bundles plywood.

Answers

Answer: 168

Step-by-step explanation:

Given : Taylor is building dog houses to sell. Each doghouse house requires free full sheets of plywood which Taylor cuts into new shapes.  

The plywood is shipped in bundles of 14 full sheets.

Then , the number of dog houses can tell him make from 12 bundles plywood :-

12*14=168

Hence, the number of dog houses can tell him make from 12 bundles plywood  = 168
The answer is 168 is the number of sheets are in 12 bundles of plywood

Can someone help me please​

Answers

Neither, they both have the same amount of battery.

Explanation: Stella is 4/6 charged. Stanley is 2/3 charged. When 4/6 is reduced, the equivalent fraction is 2/3.

Answer:

the battery is equivalent, if that is not a choice I would go with stanly

Find the quotient for 82 divided by 15 divide and check you answer

Answers

5 with a remainder of 7 I hope that helped

Which shows the prime factorization of 36? A.
2 • 2 • 2 • 3

B.
2 • 2 • 3 • 3

C.
2 • 2 • 9 • 1

D.
2 • 3 • 3 • 3

Answers

The correct answer would be your choice B.
because;
(2 × 2) × (3 × 3) = 
    ↓             ↓
   4       ×     9     = 36
hope that helps :D
the answer would be B

The school theater department made $2,142 and the department sold the same number of tickets each night and each ticket cost $7.How many tickets did the theater department sell each night?

Answers

The answer is $306 in math in division

The nut:

306

why lol:

$2,142div$7 = $306
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