Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Answer: 13%
Step-by-step explanation:
Step 1:
5000
10% of 5000=500
5% of 5000=250
25%=500+500+250= 1250 rupees
so...
5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>
but..
They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%
so if...
10%=500
5%=250
15%=750 INR
this means the price with the 10% discount off 25%= 4250 INR (5000-750)
now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added
e.g 4250-3750= 500INR
Then.. divide this price with the original price before the 25% was added
e.g 500/3750= 2/15=0.13
So...
Convert 0.13 into a percentage=13%
The PERCENTAGE PROFIT of the owner is 13%
P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you
Answer:
<h2>True</h2>
Step-by-step explanation:
1 meter = 100 centimeters
therefore 2m = 2(100cm) = 200cm
1/r = (3 1/2)/245
(3 1/2)r = 245
r = 245/3 1/2
r = 70
scale is 1 in to 70 miles.
Answer:
see below
Step-by-step explanation:
-2x-5y=30
To find the x intercept, set y =0 and solve for x
-2x-5*0=30
-2x = 30
Divide each side by -2
-2x/-2 = 30/-2
x =-15
To find the y intercept, set x =0 and solve for y
-2*0-5y=30
-5y = 30
Divide each side by -5
-5y/-5 = 30/-5
y = -6
