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11111nata11111 [884]
3 years ago
9

Determine the unit rate. A 4-pound bag of yarn costs $7.56.

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

work is shown and pictured

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A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?
bagirrra123 [75]
So we got the real axis and the imaginary axis
we just need to find the average of the 2 points

remember
midpoint of (x1,y1) and (x2,y2) is

((x1+x2)/2,(y1+y2)/2)
so

average of 3 and -8 is -5/2
average of -5i and 2i is -3/2i

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Pls solve. Showing your work is suggested.
allsm [11]

Answer:

Part 3) Miguel scored 29 points and Alonzo scored 25 points

Part 4) Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

Step-by-step explanation:

Part 3) Let

x ----> the number of points that Miguel scored

y ---> the number of points that Alonzo scored

we know that

x+y=54 ----> equation A

x=y+4 ----> equation B

substitute equation B in equation A and solve for y

(y+4)+y=54\\2y=54-4\\2y=50\\y=25

Find the value of x

x=25+4=29

the solution is the point (29,25)

That means ----> Miguel scored 29 points and Alonzo scored 25 points

Part 4) Let

x ----> Morgan's age

y ---> Mr Santos' age

we know that

x+y=44 -----> equation A

x=y-15 ----> equation B

substitute equation B in equation A and solve for y

(y-15)+y=44\\2y=44+15\\2y=59\\y=29.5

Find the value of x

x=29.5-15=14.5

the solution is the point (14.5,29.5)

That means ----> Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

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3 years ago
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See what number goes in to 5 and 20 and then dive
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The book store earned x dollars in profit. Last week, the total profit
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Answer:

x + 0.05x

Step-by-step explanation:

Given

Earnings earned by the bookstore = x

percentage increase = 5%

Increment = 5% of x

Increment = 0.05x

book store's total  increase in profit = Original earning + increment

book store's total  increase in profit x + 0.05x

Hence the expression that represents the book store's total  increase in profit is x + 0.05x

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3 years ago
Which of these is a common feature for the lac and trp operon?
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The answer would be c: Regulatory proteins blind to repressor.
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