Answer:
pounds
Step-by-step explanation:
Let x pounds of $ 0.66 per lb candies mixed with y pounds of $ 1.31 per lb candies to obtain 9 lb of $ 0.97 per lb candies,
Hence, we can write,
x + y = 9 ------- (1)
And, 0.66 of x + 1.31 of y = 0.97 of (x + y)
⇒ 66 x + 131 y = 97 (x+y)
⇒ 66 x +131 y - 97 x - 97 y = 0
⇒ -31 x + 34 y = 0 ------(2)
By solving equation (1) and (2)
We get,
and ![y=\frac{279}{65}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B279%7D%7B65%7D)
Hence, the quantity of 0.66 per lb candies =
pounds
The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14
<h3>How to write an equation in Slope Intercept form?</h3>
We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.
Let us expand the equation to get;
4x - 32 + y = 9x - 18
Isolate y to get;
y = 9x - 4x - 18 + 32
y = 5x + 14
Thus;
Slope = 5
y - intercept = 14
x - intercept = -2.8
Read more about Slope Intercept Form at; brainly.com/question/1884491
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Answer:
-5/4x +6 < 12
Step-by-step explanation:
Answer:
504
Step-by-step explanation:
I think the correct question is like:The common ratio in a geometric series is 0.50 ( point 5) and the first term is 256.
Find the sum of the first 6 terms in the series.
If it's right, then
Sₙ = (a₁ * (1 - rⁿ)) / (1 - r)
S₆ = (256 * ( 1 - 0.5⁶)) / (1 - 0.5) = (256 * 0.984375) / 0.5 = 504
X + 5 + 11x = 12x + y
Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)
Subtract 12x from each side makes each zero.
5 = y
So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82
x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125
x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989
So we verified y = 5