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Sever21 [200]
3 years ago
8

Consider the circles shown. Circle A has a radius of 6 inches. Circle B has a radius 20% greater than

Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

Answer should be D and E

Step-by-step explanation:

First, you need to figure out the radius of B.

As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2

Now you get the radius of B, calculate th area of B using the formula πr^2.

= π(7.2)^2 = 162.86 = area of B

Now, all answers except D and E is smaller than B. So, the answer would be D and E.

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spayn [35]
No because monomials can not contain a - or + sign, so that is not a monomial. Hope this helped! :)
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3 years ago
Solve the system of equations.
bixtya [17]

\left\{\begin{array}{ccc}2x-3y=16&|\cdot2\\3x+2y=11&|\cdot3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-6y=32\\9x+6y=33\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad13x=65\qquad|:13\\.\qquad x=5\\\\\text{put the value of x to the second equation}\\\\3(5)+2y=11\\15+2y=11\qquad|-15\\2y=-4\qquad|:2\\y=-2\\\\Answer:\ B)\ (5,\ -2).

8 0
4 years ago
Find the markup and the cost of the following item. Round answers to the nearest cent.
scoray [572]

Answer:

1st question: M=22.62 while C=75.38

2nd question: M=.22 while C=1.97

Step-by-step explanation:

If a mirror costing x dollars is marked up 30%, then we have to find x such that 30%x+x is 98 dollars.

We are solving:

.3x+x=98

Combine like terms:

1.3x=98

Divide both sides by 1.3:

x=75.38

M=98-75.38=22.62

C=75.38

So M=22.62 while C=75.38.

If ream of paper cost x and is marked up 11%, then we have to find x such that 11%x+x is 2.19.

We are solving:

.11x+x=2.19

1.11x=2.19

x=1 97

M=2.19-1.97=.22

So M=.22 while C=1.97

8 0
3 years ago
Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continu
labwork [276]
1) Number of letters Matilda has sorted after x hours: m(x)Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour:m(x)=50+50xwhere:Number of hours: x
Number of letters Lorraine has sorted after x hours: l(x)Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour:l(x)=80+40xwhere:Number of hours: x
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours?Total number of letters they have sorted after x hours: f(x)
f(x)=m(x)+l(x)f(x)=(50+50x)+(80+40x)f(x)=50+50x+80+40xf(x)=90x+130
Answer: The function Matilda and Lorraine can use to determine the total number of letters they have sorted after x hours is f(x)=90x+130
2) How many letters will they have sorted after 6 hours?
x=6→f(6)=?f(6)=90(6)+130f(6)=540+130f(6)=670
Answer: They will have sorted 670 letters after 6 hours
Answer: First option: The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.

4 0
3 years ago
First I broke the numbers apart first I broke 3.54 + 3.00 + 0.50 + 0.04 + 12.09+ into 12. 00+ 0.09
vovikov84 [41]
Avocados from Mexico
3 0
3 years ago
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