Answer:
24 multi-scented candles
10 single-scented candles
Step-by-step explanation:
There was no question, so I am going to assume that you want to know how many of each type of candles were sold.
Let m = no. of multi-scented candles
s = no. of single-scented candles
(1) m + s = 34 (2) 3m + 2s = 92
s = 34 - m 3m + 2(34 - m) = 92
3m + 68 - 2m = 92
m + 68 = 92
m = 24
s = 34 - 24 = 10
Answer:
x = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
- Combine like terms: -4.5x + 72 = -7.5x + 42
- Add 7.5x on both sides: 3x + 72 = 42
- Subtract 72 on both sides: 3x = -30
- Divide 3 on both sides: x = -10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
- Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
- Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
- Add: 4.5(18) + 36 = 102 - 2.5(-6)
- Multiply: 81 + 36 = 102 + 15
- Add: 117 = 117
Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
Answer:
716 or 10742/15
Step-by-step explanation:
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Answer:
See below
Step-by-step explanation:
-8 and -4 have a GCF of -4, thus:
-8u^2-4u^2
-4(2u^2+u^2)
Factor out u^2:
-4u^2(2+1)
-4u^2(3)
-12u^2
Realistically, it's easier to do (-8-4)u^2
Answer:
Option C) 
is the slope
Step-by-step explanation:
We are given the following in the question:
The estimated regression equation is:
where 
is the dependent variable and need to be predicted and x is the independent variable and is the predictor.
If we compare this regression equation to slope intercept form of straight line,
Here, m is the slope if the line and c is the y-intercept hat is the value of y when x is zero.
Comparing the regression equation to the slope intercept form, we get,
Slope, m =
Intercept, c =
Thus, the correct answer is:
Option C) is the slope
