Ask question

Ask question

All categories

3 years ago

6

While at the beach in Caracas, Venezuela, I found 5 pearls and 5 diamonds, I was able to sell each pearl for $15 and each diamon

d for $18. Using the Distributive Law, calculate how much money I made.

1 answer:

horsena [70]3 years ago

3 0

Answer: 165

Step-by-step explanation:

5 X( 15+18) = 5 X 15 + 5 X 18 = 75 + 90 = 165.

Distributive law = a.(b + c) = a. b + a. c

You might be interested in

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

$178=x^2+3x-y\\ \\ -6=4x-3y$

8 0

4 years ago

Read 2 more answers

What is 32 / 10 equal

kupik [55]

Answer:

3.2. The decimal point moves left once because there's only one 0

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the midpoint of the segment shown below

Aleksandr-060686 [28]

I would say B is the answer

7 0

3 years ago

Read 2 more answers

Between which two numbers is √8 located on a number line?

Lady_Fox [76]

Answer:

√8 is between 2 and 3.

Step-by-step explanation:

♡ im sorry if its wrong ♡

5 0

3 years ago

Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square foot

Ratling [72]

A = 35 sq ft
<span>L = 10 ft </span>
<span>W = 3.5 ft</span>

3 0

3 years ago