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2 years ago

8

An art club sells 42 large candles and 56 small candles. Use the Distributive Property to write and simplify an expression for t

he profit.

1 answer:

Naddik [55]2 years ago

8 0

Answer:

sepa

Step-by-step explanation:

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Lola measures three buttons for a shirt she is making. one button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch. the button

den301095 [7]

Answer: The first and last button will fit through the button hole.

Step-by-step explanation:

since we have given that

Size of first button is given by

$\frac{1}{8}\ inch$

Size of second button is given by

$\frac{3}{8}\ inch$

Size of third button is given by

$\frac{1}{4}\ inch$

The size of hole of the shirt is given by

$\frac{2}{6}\ inch=\frac{1}{3}\ inch$

So, the size of button must be smaller than the size of hole in the shirt to get fit .

Since we first make the denominator same , as L.C.M. of all denominators i.e.(8,8,4,and 3) is 24

So, Size of first button is given by

$\frac{1}{8}\ inch=\frac{1\times 3}{8\times 3}=\frac{3}{24}\ inch$

Similarly, Size of second button is given by

$\frac{3}{8}\ inch=\frac{3\times 3}{8\times 3}=\frac{9}{24}\ inch$

Similarly, Size of third button is given by

$\frac{1}{4}\ inch=\frac{1\times 6}{4\times 6}=\frac{6}{24}\ inch$

And, The size of hole of the shirt is given by

$\frac{1}{3}\ inch=\frac{1\times 8}{3\times 8}=\frac{8}{24}$

As we can see that

$\frac{3}{24}$

Hence, the first and last button will fit through the button hole.

7 0

2 years ago

Let A be a 4×4 matrix and suppose that det(A)=3. For each of the following row operations, determine the value of det(B), where

spin [16.1K]

Answer:

a)3

b) 9

c) -3

Step-by-step explanation:

a) If B is obtained by adding a multiple of a row of A to another row of A, $det (B) = det (A).$

Then, $det(B)=3$ .

b) If B is obtained by multiplying a row of A by k, then $det (B) = kdet (A)$ . Then $det(B)=3det(A)=3*3=9$

c) If B is obtained by exchanging two rows (columns) of A, then $det (B) = - det (A)$ . Then $det (B) = - 3$

6 0

2 years ago

The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the

Reptile [31]

<em>Greetings from Brasil...</em>

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

<h2>PQ = 2B = 42</h2><h2>QR = 2B = 42</h2>

4 0

2 years ago

Determine the domain of each piece. Domain of piece 1:[) Domain of piece 2: [) Domain of piece 3:[

zheka24 [161]

Answer:

Domain of piece 1:[) -4,-1

Domain of piece 2: [) -1,1

Domain of piece 3:[] 1,5

Step 2:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y=2-x

Step-by-step explanation:

Correct on Edgen

6 0

2 years ago

Read 2 more answers

On a certain route, an airline carries 7000 passengers per month, each paying $30. A market survey indicates that for each $

KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

$R=p\cdot N=(30+x)(7000-x)$

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

$R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20$

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

$p=30+x=30+20=50$

The maximum monthly revenue is:

$R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000$

3 0

2 years ago