Plz help i want to learn how to do this math

2 answers:

7 0

A+B=167lbs
A=167lbs-B
$4.35A+$5.70B=$846.60 Substitute for A
$4.35(167lbs-B)+$5.70B=$846.60
$726.45-$4.35B+$5.70B=$846.60 Subtract $726.45 from each side.
$1.35B=$120.15 Divide each side by $1.35.
B=89 lbs
ANSWER: The mix contained 89 pounds of Type B coffee.
CHECK:
167lbs-89lbs=78 lbs She used 78 pounds of Type A coffee.
$4.35A+$5.70B=$846.60
$4.35(78)+$5.70(89)=$846.60
$339.30+$507.30=$846.60
$846.60=$846.60

vredina [299]4 years ago

3 0

In order to know the answer, you would have to set up a system of equations:

Given that type A coffee costs $4.15 per pound
(4.15x)
Given that type B coffee costs $5.25 per pound
(5.25y)
And that the total cost of it all was $642.60

$4.15x + 5.25y = 642.60$
Also, the amount of pounds, represented by x and y add up to 150 pounds total:

$x + y = 150$

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Which equation could be used to calculate the sum of the geometric series? one-third two-ninths startfraction 4 over 27 endfract

Andrew [12]

The equation could be used to calculate the sum of the geometric series is $S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }$

<h3>Sum of geometric sequence</h3>

Geometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:

$S_n=\frac{a(1-r^n)}{1-r}$

where

a is the first term
n is the number of terms
r is the common ratio

From the given sequence

a= 1/3

r = 2/9 * 3 = 2/3

Substitute into the formula

$S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }$

Hence the equation could be used to calculate the sum of the geometric series is $S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }$

Learn more on geometric series here; brainly.com/question/24643676

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2 years ago

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lora16 [44]

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