-1/3+2z=-5/6 what does z equal? -2/3x+3/7=1/2 what does x equal?

Answers

Answer 1

Answer: $- (1)/(3) + 3z = - (5)/(6) \n \n 2z - (1)/(3) = - (5)/(6) \n \n 2z = - (5)/(6) + (1)/(3) \n \n 2z = - (1)/(2) \n \n = - (1)/(2 * 2) \n \n z = - (1)/(4) \n \n$

The final result is: z = - 1/4 or z = -0.25.

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$- (2)/(3) x + (3)/(7) = (1)/(2) \n \n - (2x)/(3) + (3)/(7) = (1)/(2) - (2x)/(3) = (1)/(2) - (3)/(7) \n \n - (2x)/(3) = (1)/(14) \n \n -2x = (1)/(14) * 3 \n \n x = (3)/(14 * -2) \n \n x = - (3)/(28) \n \n$

The final result is: x = - 3/28 or x = -0.1071.

Answer 2

Answer: -1/3+2z=5/6 2z=5/6+1/3 z=7/6(1/2) Z=7/12 -2/3x+3/7=1/2 -2/3x=1/2-3/7 x=1/14(-3/2) X=-3/28

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Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?a) 4
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Answers

A rectangular prism is defined by three lengths.

We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our volume.

Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.

To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
(3 × 6 × 1 is a repeat.)
3 × 3 × 2 is new, though
(2 × 9 × 1 is a repeat...)
(2 × 3 × 3 is a repeat...)
(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)

There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.

How to solve 0.5(5-7x)=8-(4x+6)

Answers

$\frac { 1 }{ 2 } \left( 5-7x \right) =8-\left( 4x+6 \right) \n \n \frac { 1 }{ 2 } \left( 5-7x \right) =8-4x-6$

$\n \n \frac { 1 }{ 2 } \left( 5-7x \right) =2-4x\n \n \frac { 1 }{ 2 } \left( 5-7x \right) =2\left( 1-2x \right) \n \n 2\cdot \frac { 1 }{ 2 } \left( 5-7x \right) =2\cdot 2\left( 1-2x \right)$

$\n \n 5-7x=4\left( 1-2x \right) \n \n 5-7x=4-8x\n \n -7x+8x=4-5\n \n x=-1$

Hey! Just answering so the other guy can have brainiest! Hope this helped!

self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that. Nick only has $10 to spend on washing his car. Let m represent the number of minutes Nick spends washing his car. Create the inequality that symbolizes this situation.

Answers

Answer:

4+0.75(m-5) ≤ 10

Step-by-step explanation:

We start out with 4, since the car wash charges $4 for the first 5 minutes. We add to this the cost based on the minutes over 5 that he used the car wash.

Since m is the number of minutes, we first subtract 5 from this. This is because the first 5 minutes are included in the initial $4. Since each minute past 5 costs $0.75, we multiply m-5 by 0.75:

0.75(m-5)

Together this gives us

4+0.75(m-5)

He only has $10 to spend. This means he must spend less than or equal to $10; this gives us

4+0.75(m-5) ≤ 10

4 + .75m =10 i am not a math expert but i hope this helps

Which rational number equals 0 point 1 with bar over 1 ? (5 points) 1 over 11 1 over 10 1 over 9 1 over 8