Answer:
Suit: $13; Shoes: $8
Step-by-step explanation:
Represent the unknowns (which are commissions on the sale of suits and shoes) by u and h.
The associate earned a commission of $47 the first week. That $47 represents the sum of the commission earned from selling suits and the commission earned from selling shoes.
We can represent this fact as follows:
3u + 1h = $47 (3 times the commission for selling 1 suit)
The appropriate equation describing the situation in the second week follows:
7u + 2h = $107
Now we have two linear equations in two unknowns, enough to enable us to calculate the commissions on selling suits and shoes.
3u + 1h = $47
7u + 2h = $107
We are to solve this system using the substitution method. The easiest approach here is to solve the first equation for h: h = $47 - 3u
and
then replace h in the second equation by $47 - 3u:
7u + 2($47 - 3u) = $107
Performing the indicated multiplication, we get 7u + $94 - 6u = $107
Simplifying this results in u + $94 = $107, and subtracting $94 from both sides reduces this equation to u = $13.
Thus, the commission on selling a suit is $13.
The commission on selling a pair of shoes is obtained from subbing $13 for u in the very first equation (3u + 1h = $47): 3($13) + h = $47. Subtracting $39 from both sides results in $8 = h. The commission on selling a pair of shoes is $8.
Answer:
a = 16
Step-by-step explanation:
inversely proportional
y = k/x
a = k/b
5 = k/4
solve for k
multiply by 4 on each side
20 =k
a = 20b
if b = 4/5
a = 20 * 4/5
a = 16
The blue one your welcome
1. Check picture 1.
2. By drawing 2 pairs of points,as shown in the picture, we can easily draw the lines y=2x-1 and y=2x+2
3. We notice that the lines are parallel. (we can notice this also from the slopes of the lines, that is the coefficients of x'es, both equal to 2, which means the lines are parallel)
4. Pick (1, 3), as shown in the picture to check which side of each line we will color. (any point can work.)
5. Check (1, 3) in inequality y_<2x+2:
3_<2*1+2=4 is actually true, so we color the part of the line containing (1, 3)
Check (1, 3) in the inequality y_>2x-1: 3_>2*1-1=1 which is true, so we color the part of the line containing the point:
6. So we color the part below the black line and the part above the blue line.
The solution is the part colored in both cases, which is the strip between the lines.
7. Answer: picture 2 is the graph of the system of inequalities
<span>y_>2x-1 and y_<2x+2</span>
Factors of -8 that add up to 2: 4 & -2
(x + 4)(x - 2)
Set x to 0 for both and solve
x = -4
x = 2