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Damm [24]
3 years ago
11

How many quarts are in 10 1/2 gallons

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
10.5 gallons = 42 quarts
1 gallon =  4 quarts
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The account executive of a brokerage firm has recommended that one of her customers consider stock from five aerospace companies
soldier1979 [14.2K]

Answer:

180 ways

Step-by-step explanation:

Aerospace companies (A) = 5

Energy development companies (D) = 3

Electronics companies (E) = 4

Number of aerospace stocks bought (a) = 2

Number of Energy development stocks bought (d) = 2

Number of Electronics stocks bought (e) = 2

The number of ways that the investor can select his six investments from the recommended list is given by the combination of picking two out five aerospace companies, multiplied by picking two out three energy development companies, multiplied by picking two out four electronics companies:

n=\frac{5!}{(5-2)!2!}*\frac{3!}{(3-2)!2!}*\frac{4!}{(4-2)!2!}\\  n=10*3*6\\n=180\ ways

There are 180 ways for the investor to select the six companies.

4 0
3 years ago
Find the marginal and average revenue functions associated with the demand function P= -0.3Q + 221
LekaFEV [45]

Answer:

Marginal revenue = R'(Q) = -0.6 Q + 221

Average revenue = -0.3 Q + 221

Step-by-step explanation:

As per the question,

Functions associated with the demand function P= -0.3 Q + 221, where Q is the demand.

Now,

As we know that the,

Marginal revenue is the derivative of the revenue function, R(x), which is equals the number of items sold,

Therefore,

R(Q) = Q × ( -0.3Q + 221) = -0.3 Q² + 221 Q

∴ Marginal revenue = R'(Q) = -0.6 Q + 221

Now,

Average revenue (AR) is defined as the ratio of the total revenue by the number of units sold that is revenue per unit of output sold.

Average\ revenue\ = \frac{Total\ revenue}{number\ of\ units\ sold}

Where Total Revenue (TR) equals quantity of output multiplied by price per unit.

TR = Price (P) × Total output (Q) = (-0.3Q + 221) × Q = -0.3 Q² + 221 Q

Average\ revenue\ = \frac{TR}{Q}

Average\ revenue\ = \frac{-0.3Q^{2}+221Q}{Q}

∴ Average revenue = -0.3Q + 221

5 0
3 years ago
All of the following represent the same expression except
yanalaym [24]

Answer:

-8(a)(6)

Step-by-step explanation:

in this expression there is not a second variable, instead it's 6. so if it were to be correct it would be -8(a)(b) but since they put 6 instead of b it's not correct

6 0
3 years ago
Read 2 more answers
How do i solve 2x+y=z if theres only one number and the rest are variables
eimsori [14]
2x + y = z

WHEN SOLVING FOR X :

2x + y = z

We just need to isolate x, so subtract y from both sides.

2x = -y + z

Then, divide both sides by 2.

2x ÷ 2 = -y + z ÷ 2

Simplify.

x = -y + z / 2 → x =  \frac{-y+z}{2}

WHEN SOLVING FOR Y :

2x + y = x

We need to isolate y, so subtract 2x from both sides.

y = x - 2x

Simplify.

y = -x

~Hope I helped!~


4 0
3 years ago
1. 5/6 x 10
Art [367]

Answer:

1. 25/3

2. 2/7

3. 5/12

4. 10

5. 85/16

Step-by-step explanation:


3 0
3 years ago
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