x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 D) x = 3, y = - 2 3
Answers
x-3y=1
add them together
x+3y=7
x-3y=1 +
2x+0y=8
2x=8
divide 2
x=4
subsitute
x+3y=7
4+3y=7
subtract 4
3y=3
divid 3
y=1
x=4
y=1
answer is A
x - 3y = 1
x + 3y = 7
- 3y -3y
x = 7 - 3y
x - 3y = 1
7 - 3y - 3y = 1
7 -6y = 1
-7 -7
-6y = -6
y = 1
Now solve for x
X + 3y = 7
x + 3 = 7
x = 4
Now we have our values:-
x = 4 and y = 1
Answer: A) x = 4, y = 1
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Markus scored 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all five tests. Which equation could Markus use to determine the score of the fifth test, x?
Six less than a number is less than the quotient of the number and three
Answers
35-10=15 and then: x-35
So we will make the proportion:
4 : 10 = (x-35) : 15
4 * 15 = 10(x-35)
60=10 x- 350
10 x =410
x = 41%
Answer: Ink B contains 41 % of blue pigment.
9x^2+3x^3
Answers
Here, we are required to factorise fully 9x² + 3x³
- The answer is 3x²(3+x)
To factorise the expression 9x² + 3x² fully; we first need to write out factors of 9x² and 3x³ respectively. Thus;
- Factors of 9x² are: 3 × 3 × x²
- Factors of 3x³ are:3 × x² × x
Since 3x² is a common factor for 9x² and 3x³,
3x² can be factored out so that we have the result of the factorization to be;
3x²(3+x)
as "3" and "x" are the remaining factors of 9x² and 3x³ respectively.
Read more:
Answer:
3x^2(3+x)
Step-by-step explanation:
9x^2+3x^3
3(3x^2+x^3)
3x^2(3+x)
Answers
Answer:
y = 2x + 11
Step-by-step explanation:
Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.
Slope = m = rise/run = (y2-y1)/(x2-x1) = (15-21)/(2-5) = -6/-3 = 2
substitute 2 back into the equation.
y = mx + b
y = 2x + b
use one of the provided points to solve for b.
y = 2x + b
15 = 2(2) + b
15 = 4 + b
11 = b
y = 2x + 11
Answers
Answer:
The answer is 32.
Step-by-step explanation:
Remember that order of operation is very important in this problem.
Substitute x for 3 and y for 2 in the equation.
When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.
Answers
10 ----------- 5%
x ------------- 100%
Crossmultiply proportion
5*x=10*100
5x=1000 /:5 divide both sides by 5
x=1000:5
x=200 - its the answer
Answers
Answer:
The broker's commission was rupees 8,250
Step-by-step explanation:
Selling price of property = rupees 450,000
The sale price is higher than rupees 300,000
Commission for rupees 300,000 = 2% × rupees 300,000 = rupees 6,000
Remaining amount = rupees 450,000 - rupees 300,000 = rupees 150,000
Commission for the remaining amount = 1.5% × rupees 150,000 = 0.015 × rupees 150,000 = rupees 2,250
Total commission = rupees 6,000 + rupees 2,250 = rupees 8,250