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son4ous [18]
3 years ago
8

Solve for u. 4u = 16u + 3(–3u − 5) u =

Mathematics
2 answers:
marta [7]3 years ago
8 0

Answer:

u = 5

Step-by-step explanation:

<u>→Distribute the 3 to (-3u - 5):</u>

4u = 16u - 9u - 15

<u>→Add like terms:</u>

4u = 7u - 15

<u>→Subtract 4u from both sides:</u>

0 = 3u - 15

<u>→Add 15 to both sides:</u>

15 = 3u

<u>→Divide both sides by 3:</u>

5 = u

Anarel [89]3 years ago
7 0

Answer:

\boxed{u = 5}

Step-by-step explanation:

=  > 4u = 16u + 3( - 3u - 5) \\  \\  =  > 4u = 16u + (3 \times ( - 3u)) - (3 \times 5) \\  \\  =  > 4u = 16u - 9u - 15 \\  \\  =  > 4u = 7u  - 15 \\  \\  =  > 4u - 7u =  - 15 \\  \\  =  >  \cancel{- }3u =  \cancel{- }15 \\  \\  =  > 3u = 15 \\  \\  =  > u =  \frac{15}{3}  \\  \\  =  > u = 5

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3 years ago
A bookstore contains 75972 books,divided in to three sections. The science represents 1/3 of the total books. The remaining book
S_A_V [24]

Answer:

12,662 books

Step-by-step explanation:

Total number of books = 75,972

No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.

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= \frac{75}{100}*50,648 = 37,986

No. of business books = 37,986

No. of maths books in the math section = 75,972 - (25,324 + 37,986)

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= 12,662 books

7 0
3 years ago
A 5-pound bag of cat food costs $11.25. What is the unit price of the cat food?
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3 0
3 years ago
In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.
NARA [144]
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
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Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

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62° + 28° = 90°

90° = 90° (True statement)

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m < 1 = 62°
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