Answer:
y = 4/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
7/8y + 1/2 = 1 1/5
<u>Step 2: Solve for </u><em><u>y</u></em>
- Convert to improper fraction: 7/8y + 1/2 = 6/5
- [Subtraction Property of Equality] Subtract 1/2 on both sides: 7/8y = 7/10
- [Division Property of Equality] Divide 7/8 on both sides: y = 4/5
Answer:
6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0
Step-by-step explanation:
Answer:
y=1/2x+1
Step-by-step explanation:
one dot on the 1 on the y axis
then more one unit up and two units to the left
and then from the first point (0,1) go one unit down
and two to the right. then make the line with the three points
Answer:
Below in bold
Step-by-step explanation:
The sequence is:
3, x, y, 18
If this is an A P then
x - 3 = y - x
2x - y = 3 (A) and
y - x = 18 - y
2y - x = 18 (B)
Multiply (A) by 2:
4x - 2y = 6 (C)
Adding B and C:
3x = 24
x = 8.
and
2y - 8 = 18
2y = 26
y = 13.
So x = 8 and y = 13.
b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio
Divide by a:
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
r(3r + 1)(2r - 1) = 0
So the 2 possible values of r
= -1/3 and 1/2.
i) The common ratio is positive so it must be 1/2.
Second term ar = 8
1/2 a = 8
a = 16.
So the first 6 terms are:
16, 8, 4, 2, 1, 1/2.
Answer:
Step-by-step explanation:
2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)
2y+6x+90 =180
2y + 6x = 90
dividing each side by 2
y+3x = 45 ........1
7x+1+2y+74 =180 ( same reason)
7x + 2y =105 ............2
multiplying 1 by 2
2y +6x =90........ 3
subtracting 3 from 2
7x+2y-2y-6x = 105-90
x = 15
substituting x=15 in 1
y+45 =45
y= 0
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