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3 years ago

The Area of a rectangular patio is 5 5/8 square yards,and it's length is 1 1/2 yards.What is the patio's width,in yards?

1 answer:

8 0

Take both mixed numbers (a whole number plus a fraction) and turn them into improper fractions ( a numerator (top number) bigger than the denominator (bottom number). To do this, multiply the denominator by the whole number, and add the result to the numerator.
5 5/8 will become 45/8
1 1/2 will become 3/2.
Area is length* width, so width would be Area/ length. So 45/8 is the area and 3/2 is the length. Now you have (45/8)/(3/2). To divide fractions, take the second fraction and flip the numerator and denominator, forming the reciprocal (2/3). Now multiply 45/8 and 2/3
The result is 90/24, and simplifying would get 15/4, or 3 3/4. This is the width(or length)

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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

ArbitrLikvidat [17]

Answer:

$9327

Step-by-step explanation:

Apparently, the cost function is supposed to be ...

C(x) = 0.4x^2 -112x +17167

This can be rewritten to vertex form as ...

C(x) = 0.4(x^2 -280) +17167

C(x) = 0.4(x -140)^2 +17167 -0.4(19600)

C(x) = 0.4(x -140)^2 +9327

The vertex of the cost function is ...

(x, C(x)) = (140, 9327)

The minimum unit cost is $9327.

_____

<em>Comment on the question</em>

You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.

8 0

3 years ago

9. What is the system of equations that describes the following graph?

jeka94

The graph represented in the figure shows a set of linear equations each of which is represented a straight line.

Step-by-step explanation:

System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.

Linear set of equations are the most simple of equation depicting a linear relationship between two variables.

E.g. Y=4x+3

here y and x share a linear relationship which is defined by the straight-line graph "4x+3"

Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.

3 0

3 years ago

Last week, Leon bought 8 pizzas and 13 cakes

romanna [79]

P = pizza and c =cakes

Last week: 8p + 13c = 134
Today: 28p + 4c = 220

Let’s take the formula for today and subtract 28p from each side to isolate the 4c.

4c = 220 - 28p

Now divide each side by 4

c = (220 - 28p)/4
Simplify to c = 55 - 7p

Now go to the formula for last week, substitute the c for 55-7p

8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134

Simplify to 715 - 83p = 134

Let’s add 83p to each side.

715 = 134 + 83p

Subtract 134 from each side

581 = 83p

Divide each side by 83

p = $7

5 0

3 years ago

A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo

8_murik_8 [283]

Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

8 0

3 years ago

This is not a quiz it is an assignment that is due tomorrow and I Wil be grateful for anyhelp

ladessa [460]

Xy - x - y + 1

explanation: distribute (x-1)(y-1) —> x(y-1) - 1 (y-1) —> xy - x - 1(y-1) —> xy - x - y + 1

7 0

3 years ago