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3 years ago

Please help me with my Algebra homework!!!

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Answer:

B) No Unique Solutions

Step-by-step explanation:

Given:

$z=x+5y-14$

$-2y=-4\\y={-4}{-2}=2$

$3x+y-3z=14$

now we now the value of y = 2 so we will substitute in equation $z=x+5y-14$

$z=x+5\times2-14\\z=x+10-14\\z= x-4$

Now, We have value of y=2 and value of $z=x-4$ Substituting in both the value in equation $3x+y-3z=14$

$3x+2-3(x-4)=14\\3x+2-3x+12=14\\14=14$

which means that the equation has Infinite solutions.

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Kevin will take 4 math tests this term. All of the tests are worth the same number of points. After taking the first 3 tests, hi

Makovka662 [10]

Answer:

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

Step-by-step explanation:

we know that

The mean score is the total of all scores divided by the total number of tests.

Let

x_1 ----> the score in the first math test

x_2 ----> the score in the second math test

x_3 ----> the score in the third math test

x_4 ----> the score in the fourth math test

we have

After taking the first 3 tests, his mean test score is 88 points

$\frac{x_1+x_2+x_3}{3} =88$

$x_1+x_2+x_3=264$ ----> equation A

How many points does he need on his last test to raise his mean test score to 90 points?

$\frac{x_1+x_2+x_3+x_4}{4} =90$

$x_1+x_2+x_3+x_4=360$ ----> equation B

substitute equation A in equation B

$264 + x_4 = 360$

solve for x_4

$x_4 = 360-264$

$x_4 = 96$

Therefore

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

4 0

3 years ago

Angle Relationships

Alik [6]

Answer:

B. 0.86

Step-by-step explanation:

I calculated it logically

8 0

3 years ago

What is 1x1? please help me lol

Ksju [112]

Answer:

Step-by-step explanation:

1 times anything is itself

you're welcome

7 0

3 years ago

Read 2 more answers

Please answer this please

TiliK225 [7]

Answer:

100

Step-by-step explanation:

$4\times(2+3)^{2}$

This can be turned into:

$4\times5^{2}$ (if we add the numbers inside the brackets)

Following PEDMAS, this becomes:

$4\times25$ which equals $100$

∴ $4\times(2+3)^{2}=100$

3 0

3 years ago

5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!

tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5x + 3 - 2x = 12 + 7x - 2

Step 2: Solve for x

Combine like terms: 3x + 3 = 7x + 10
[SPE] Subtract 3x on both sides: 3 = 4x + 10
[SPE] Subtract 10 on both sides: -7 = 4x
[DPE] Divide 4 on both sides: -7/4 = x
Rewrite: x = -7/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
Add: -23/4 + 7/2 = 12 - 49/4 - 2
Add: -9/4 = 12 - 49/4 - 2
Subtract: -9/4 = -1/4 - 2
Subtract: -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

8 0

3 years ago