Answer:
A
Step-by-step explanation:
The common difference d in an arithmetic sequence is
a₂ - a₁ = a₃ - a₂ , substitute values
4y + 1 - (y + 3) = 8y - 3 - (4y + 1) ← distribute both sides and simplify
4y + 1 - y - 3 = 8y - 3 - 4y - 1
3y - 2 = 4y - 4 ( subtract 3y from both sides )
- 2 = y - 4 ( add 4 to both sides )
2 = y → A
So here is the answer.
We represent h = hardwood and p = pine bark
Here is the equation: h + p = 176
2.75p + 3.50h = 520
Next, p = 176 -h (substitute)
2.75 (176-h) + 3.5h = 520
484 -2.75h + 3.5h = 520
3.5h-2.75h = 520 -484
0.75h = 36 (divide both by 0.75)
h = 48
Therefore, the number of hardwood sold is 48.
h + p = 176
p = 176-48
p= 128
The number of pine bark sold is 128.
Hope this helps.
Answer:
<em>a:b:c=8:12:15</em>
Step-by-step explanation:
<u>Combined Ratio</u>
We are given the ratios:
a:b=2:3
b:c=4:5
The combined ratio a:b:c will include all three variables in one single expression.
Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:
a:b=2:3=(2*4):(3*4)=8:12
b:c=4:5=(4*3):(5*3)=12:15
Now there is a common factor in both ratios, we can combine them removing the common factor:
a:b:c=8:12:15
Answer:
It should be A. -12^2
Step-by-step explanation:
Looking at the box B, you have to multiple 3x and -4x. 3 * -4 is -12 and the two x's become squared. Making your answer -12x^2