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3 years ago

Two Trends pay the restaurant bill in the ratio of 16:4. If more paying friend pays

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

Answer:

Cici O i itcivouvitci cc tfurx

Step-by-step explanation:

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Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

Read 2 more answers

(10 points) Joe’s parents bought him a new car for his birthday. They paid $6990 for a car that was originally priced at $7599.

Andru [333]

Answer:

91.99%

Step-by-step explanation:

To find what percentage of $7599 is $6990, we simply need to divide $7599 by $6990 and multiply by 100:

6990 / 7599 * 100 = 91.99%

Therefore, they paid 91.99% of the original price.

5 0

3 years ago

What is the cube root of 0.008? A) 2 B) 0.2 C) 0.02 D) 0.002

bazaltina [42]

Correct answer is 0.2

0.2 * 0.2 is 0.04
then 0.04 * 0.2 = 0.008

7 0

3 years ago

Simplify the expression - 1/2(5/6+1/3)

mel-nik [20]

Answer:

- 7/12

Step-by-step explanation:

- 1/2 ( 5/6 + 1/3 )

- 1/2 ( 5/6 + 2/6)

- 1/2 ( 7/6 )

- 7/12 or - 0.58

8 0

2 years ago

How to solve this question ? use appropriate metric prefix to write the following measurment without use exponents?

AleksAgata [21]

<span>-12 = pico(p) So 10^-12 L = 1 pL Use following to find the count of 10^-12 L are there in 2.3×10^-10 L 2.3×10^-10 / (10^-12) = 2.3×10^2 = 230 pL -6 = micro (µ) 4.7×10^-6 g = 4.7 µg 1.85×10^-12 m = 1.85 pm 6 = Mega (M) 16.7×10^6 s = 16.7 Ms So the answer is 16.7 Ms</span>

8 0

3 years ago