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Readme [11.4K]
3 years ago
15

What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28)

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer:

-2x + 3

Step-by-step explanation:

Step 1: Write out expression

-1/5(5x + 20) - 1/4(4x - 28)

Step 2: Distribute

-1/5(5)x - 1/5(20) - 1/4(4)x + 1/4(28)

Step 3: Multiply

-x - 4 - x + 7

Step 4: Combine like terms

-2x + 3

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Two friends Ana and Juan are buying books by joining the History Book
Travka [436]

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0
3 years ago
The quotient of twice a number t and 12
frez [133]
\boxed{2t:12=\frac{2t}{12}}=\frac{t}{6}
4 0
3 years ago
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Jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?
Vladimir [108]

Answer:

2 miles

Step-by-step explanation:

convert 3/4 into 6/8. With this you have a ratio of 6/8 miles to 3/8 hours. Meaning 2/8 mile is equal to 1/8 of an hour. With this you can find that Jacie can swim 2 miles in a hour



8 0
3 years ago
G = x-c/x solve for x
Elan Coil [88]

Answer:

x=\frac{c}{1-g}

Step-by-step explanation:

Step 1: Multiply both sides by x,

 gx=−c+x

Step 2: Add -x to both sides.

gx+−x=−c+x+−x

gx−x=−c

Step 3: Factor out variable x.

x(g−1)=−c

Step 4: Divide both sides by g-1.

\frac{x(g-1)}{g-1} =\frac{-c}{g-1\\}

x=\frac{c}{1-g}

Hope this helps!

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3 years ago
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Which line has a slope of 1 and a y-intercept of 2?
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Answer:

bottom left :)

Step-by-step explanation:

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