MATHEMATICS MIDDLE SCHOOL

Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 3x + 3y = 0 7x − y = 8 3x + 3y = 0 −7x − y = 8 3x + 3y = 0 −7x + 7y = 8 3x + 3y = 0 −4x + 7y = 8

Answers

Answer 1

Answer:

3x + 3y = 0

7x − y = 8

Step-by-step explanation:

Given

3x + 3y = 0

-4x + 4y = -8

Required

Find the equivalent

To solve for the equivalent we simply solve for x and y in the given equation.

Subtract 3x from both sides in 3x + 3y = 0

3x - 3x + 3y = 0 - 3x

3y = -3x

Multiply both sides by ⅓

⅓ * 3y = -3x * ⅓

y = -x

Substitute -x for y in -4x + 4y = -8

-4x + 4(-x) = -8

-4x -4x = -8

-8x = -8

Multiply both sides by -⅛

-⅛ * -8x = -⅛ * -8

x = 1

Recall that y = -x

y = -1

So, we have that x = 1 and y = -1

We'll substitute these values in the list of options;

3x + 3y = 0

7x − y = 8

7(1) - -(1) = 8

7 + 1 = 8 ----- This is equivalent

3x + 3y = 0

−7x − y = 8

-7(1) - (-1) = 8

-7 + 1 = 8

-6 ≠ 8 .... This is not an equivalent expression

3x + 3y = 0

−7x + 7y = 8

-7(1) + 7(-1) = 8

-7 -7 = 8

-14 ≠ 8 .... This is also not an equivalent expression

3x + 3y = 0

-4x + 7y = 8

-4(1) + 7(-1) = 8

-4 -7 = 8

-11 ≠ 8 -_- This is also not an equivalent expression

Answer 2

Answer:

Answer:

A is the correct one

Step-by-step explanation:

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Patricia scored 80% on a math test. She missed 4 problems. How many problems were on the test?

Answers

Answer: There are 20 problems on the test.

Step-by-step explanation:

Since we have given that

Patricia scored 80% on a math test.

She missed 4 problems.

So, 20% of the math test is equal to 4 problems.

Let the total number of problems on the test be x

According to question,

$(20)/(100)* x=4\n\nx=(100)/(20)* 4\n\nx=20$

Hence, there are 20 problems on the test.

There would be exactly twenty problems on the test for her to be able to get 80%.
You know it can't be ten because then that would make it 60% not 80% but if you add the first number of the percentage (8) and multiply it by two it will get you 16 then if you add 4 to that that would make it 20 and 16/20 equals 80%

WHAT Is 2 quarters Equal To?

Answers

2 quarters is equal to 50 cents or 1/2 of a dollar

The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?A 4
B 6
C 3

Answers

Heya!!

---------------------------------------

Since length of two legs are equal..

=) x+1 = - x+7

=) x+x = 7-1

=) 2x = 6

=) x = 6/2 = 3

Hence base = 3(3) - 3

= 9-3

= 6.

Hope it helps!!

The base is 6.

In order to find this, we can set the legs equal to each other since legs have the same length in an isosceles triangle.

x + 1 = -x + 7

2x + 1 = 7

2x = 6

x = 3

Now that we have the value for x, we can plug into the equation to get the value for the base.

3x - 3 = base

3(3) - 3 = base

9 - 3 = base

6 = base

How many 4-digit numbers can be created from the digits 6, 4, 2, 9, 7 and 1 without repeating any?

Answers

Total sets of 4-digits = 6
Total 4-digit numbers formed by one set of number = 4
So, total numbers that can be formed = 6 × 4 = 24

Z=sqrt 2[cos(-pi/4)+isin(-pi/4)]=a+bi what is a and b?

Answers

Answer:

$\boxed{\boxed{a=1,b=-1}}$

Step-by-step explanation:

The given expression is,

$z=√(2)\left[\cos(-(\pi)/(4))+i\sin (-(\pi)/(4))\right]$

According to Distributive property,

$=√(2)\cos(-(\pi)/(4))+i√(2)\sin (-(\pi)/(4))$

we know that,

$\cos(-(\pi)/(4))=\cos((\pi)/(4))=(1)/(\sqrt2)$

and

$\sin(-(\pi)/(4))=-\sin((\pi)/(4))=-(1)/(\sqrt2)$

Putting these,

$=√(2)\cdot (1)/(\sqrt2)-i√(2)\cdot (1)/(\sqrt2)$

$=1-i\cdot 1$

$=1-i$

Comparing this to $a+bi$ , we get

$a=1,b=-1$

Answer: a=1, b=-1

Step-by-step explanation: I got this right on Edmentum

What is the simplest form for 5 17/18 - 2 2/3

Answers

subtract 5 mineous 2 equales 3 17 mineous 12 equales 5 so its 5/18 also u have to look for a common denominator and what u do to the bottom u do to the top

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