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Olin [163]
3 years ago
7

What is 5/6 y - 8 = 2 a. 12 b. 8 1/3 c. -7 1/5 d. 13

Mathematics
1 answer:
inn [45]3 years ago
4 0

Answer:

a.\ 12

Step-by-step explanation:

\frac{5}{6}y-8=2\\\\Add\ 8\ both\ sides\\\\\frac{5}{6}y-8+=2+8\\\\\frac{5}{6}y=10\\\\Multiply\ by\ 6\ both\ the\ sides\\\\\frac{5}{6}y\times 6=10\times 6\\\\5y=60\\\\divide\ by\ 5\ both\ the\ sides\\\\\frac{5y}{5}=\frac{60}{5}\\\\y=12

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A chocolate manufacturing company produces two types of chocolate: A and B. Ingredients required for manufacturing the products
Karolina [17]

Answer:

The maximum profit is when they make 10 units of A and 2 units of B.

Step-by-step explanation:

Let x is units of milk

Let y units of cacao

Given that :

The company's production plant has a total of 22 units of milk and 46 units of cacao available.

2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)

4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available

Graph the constraint equations and find the point of intersection to determine the feasibility region.

The intersection point (algebraically, or from the graph) is (10, 2)

The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.

Hence, we substitute (10, 2)  into the above function:

6.2*10 + 4.2*2 = 70.4

The maximum profit is when they make 10 units of A and 2 units of B.

3 0
3 years ago
What is the result when the number 11 is increased by 8.8%?
Dafna1 [17]

Answer:

11.968

Step-by-step explanation:

5 0
3 years ago
If x+3/3 = y+2/2 , then x/3 = ____.
Soloha48 [4]
X + 3/3 = y + 2/2
2x + 6 = 3y + 6
2x = 3y
x = 1/2(3)(y)
x/3 = y/2
The answer is C
7 0
3 years ago
Read 2 more answers
A health club sold ten memberships in one week for total of $3000. If male memberships cost $300 and female memberships cost $30
Ket [755]

Answer:

Step-by-step explanation:

The reason you haven't gotten an answer to this is because in its current formatting, there is no answer. Here's what I mean:

The first equation is going to be concerning the NUMBER of memberships sold, where m is male and f is female. The total number of memberships was 10:

m + f = 10

Now for the money equation. The total amount of money made from that number of memberships was 3000, where male memberships cost $300 and so do the female memberships, giving us an equation of

300m + 300f = 3000

Go back to the first equation and solve for either m or f. I solved for m in terms of f:

m = 10 - f and sub that into the second equation for m to get:

300(10 - f) + 300f = 3000 and

3000 - 300f + 300f = 3000. Here is where you find the problem. The -300f and the 300f cancel each other out, leaving you with the fact that

3000 = 3000 which it does, but it doesn't give us any viable answer.

I would have to say that since we can't do math on this, that the most credible answer you'll find is that the same number of male and female memberships were sold because 5 male memberships cost $1500 (5 memberships at $300 a piece is $1500) and 5 female memberships also cost $1500.

1500 + 1500 = 3000

6 0
3 years ago
Say that the following is true:
sergiy2304 [10]
W = 1.414213562 (or 2 squared)
x = 2 (because the y gets cancelled out in the first equation)
y = 1 (since 2(1)=2(1))

tell me if i’m right :)
8 0
3 years ago
Read 2 more answers
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