Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Answers

Answer 1

Answer: x-weigh of Ted
y-weigh of Julie
z-weigh of Mike

x=2y
z=3y
x+y+z=210lbs

2y+y+3y=210
6y=210 /:6
y=35 lbs
x=2y=2*35=70 lbs
z=3y=3*35=105 lbs

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Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3 - 4 D. 2n^2 + 12n - 5 + 8n^3
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A sneaker store salesman had $4,125 in total monthly sales last month. he made $165 in commission from those sales. what is the salesman's commission as a percent of his total monthly sales?

Raymond purchases concert tickets online for $43.50. There is a 3% processing fee. What is the total cost of the tickets? Round to the nearest cent. The actual answer is not 44.80 it’s 44.81 thanks anyway I guess I got it wrong though :(

Answers

Answer:

$44.81

Step-by-step explanation:

43.50 * 0.03 = 1.305

$43.50 + 1.305 = 44.805 = $44.81

a vending machine sells chips at $0.40 and candy at $0.50. Last month, the vending machine yielded $152.80 with a sale of 328 items. how many packages of chips were purchased last month

Answers

112 bags of chips

The solution to the system of equations gives 112 chips and 216 candy.
The equations to solve are

x + y = 328
.40x + .50 y = 152.80

(x = the number of chips and y = the number of candy)

x = 40 cents bags, y = 50 cent bags

x + y = 328...x = 328 - y
0.40x + 0.50y = 152.80

0.40(328 - y) + 0.50y = 152.80
131.20 - 0.40y + 0.50y = 152.80
-0.40y + 0.50y = 152.80 - 131.20
0.10y = 21.60
y = 21.60/0.10
y = 216 <=== total 50 cents bags sold

x + y = 328
x + 216 = 328
x = 328 - 216
x = 112 <=== total 40 cents bags sold

Alan and Desmond have set up a law business in a high–priced office. Which type of business do they have?

Answers

Answer:

The type of business they have is:

Partnership.

Step-by-step explanation:

A partnership is a formal agreement or arrangement in which two or more than two parties set up or operate and manage their business and share the profits accordingly.

There are several types of partnership arrangements.

In some partnership the profit or the liabilities are equally shared while in other they are shared according to their will or share of business.

So as Alan and Desmond have set up a law business in a high–priced office. The type of business they have is:

Partnership.

Find the missing term and the missing coefficient. (6a − )5a = a2 − 35a

Answers

So, (6a - X)*5a = Y*(a^2) - 35a
=> 6a*5a - X*5a = Y*(a^2) - 35a
=> 30(a^2) - X*5a = Y(a^2) - 35a

30 = Y and
X*5 = 35 or X = 7

Factor: x^2 - 8x + 16

Answers

The required factor of the given expression x² -8x + 16 is (x - 4)².

What is factor?

In mathematics, a factor is a number or algebraic expression that divides another number or expression evenly without leaving a remainder.

To factor the expression x² - 8x + 16, we can use the following steps,

Step 1: Identify the first and last terms of the expression, which are x² and 16, respectively.
Step 2: Find two numbers that multiply by 16 and add up to -8. In this case, these numbers are -4 and -4, since (-4) x (-4) = 16 and (-4) + (-4) = -8.
Step 3: Rewrite the middle term of the expression (-8x) as the sum of the two numbers found in step 2, i.e., -4x - 4x.
Step 4: Factor by grouping, by grouping the first two terms (x² - 4x) and the last two terms (-4x + 16) separately, and factoring out the common factor in each group
= x² - 4x - 4x + 16
= x(x - 4) - 4(x - 4)
= (x - 4)(x - 4)

Step 5: Simplify the result by writing (x - 4)(x - 4) as (x - 4)².

Therefore, the factored form of x² - 8x + 16 is (x - 4)².

Learn more about Factors here:

brainly.com/question/24182713

#SPJ5

X^2-8x+16= (x-4)^2 because -4 and -4 add to -8 but multiply to 16. Hope that helped.

Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64. What is the value of a in the polynomial?

Answers

( y - 4 ) ( y² + 4 y + 16 ) =
= y³ + 4 y² + 16 y - 4 y² - 16 y - 64 = y³ - 64
If the result is the polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y - 64
a = 16

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