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Mars2501 [29]
2 years ago
9

15 points pls brainliest show your work no calculator

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
7 0

Based on the calculations on the given expressions, the correct answers are as follows:

  1. Expression = 25/2 or 12.5.
  2. Difference = 5.
  3. n = 6.
  4. Expression = 31/15.
  5. Prime factorization of 96 = 2⁵ × 3¹.
  6. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
  7. Inequality = 2³ < 3².
  8. Total amount = $255.
  9. Expression = 5.

<h3>How to evaluate this expression?</h3>

In order to evaluate this expression, we would substitute the value of x into upper and lower part respectively and then simplify as follows:

Expression = (6x + 8)/(4x - 24)

Expression = (6(7) + 8)/(4(7) - 24)

Expression = (42 + 8)/(28 - 24)

Expression = 50/4

Expression = 25/2 or 12.5.

Next, we would translate the given word problem into an algebraic expression:

Difference = 10 - 5

Difference = 5.

To solve for the value of n in the given expression:

-15 + n = -9

n = -9 + 15

n = 15 - 9

n = 6.

Expression = 2/3 + 1 2/5

Expression = 2/3 + 7/5

Expression = (10 + 21)/15

Expression = 31/15.

Next, we would write the prime factorization of 96:

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

96 = 2 × 2 × 2 × 2 × 2 × 3

96 = 2⁵ × 3¹.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.

<h3>How to determine the inequality symbol?</h3>

2³ __  3²  ≡  8 __ 9

Since 8 is less than 9, the inequality symbol which would complete the number sentence is < and it would be written as follows:

Inequality = 2³ < 3².

Next, we would calculate the total amount of money that KeeKee will spend:

Initial cost = 3 × $60 = $180

Total amount = initial cost + final cost

Total amount = $180 + $75

Total amount = $255.

Finally, we would simplify the given expression:

Expression = 3² + 2(12 ÷ 4 - 2 + 3)

Applying BODMAS, we have:

Expression = 3² + 2(3 - 2 + 3)

Expression = 3² + 2(3 - 5)

Expression = 3² + 2(-2)

Expression = 9 - 4

Expression = 5.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

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hram777 [196]

\sf\huge\underline{\star Solution:-}

\rightarrow <u>Ratio of two angles are 6:13.</u>

So, let the one angle be \sf{6x} and another be \sf{13x.}

As we know that,

Sum of all interior angles of a quadrilateral = \sf\pink{360°.}

So let's sum up the given angles,

\rightarrow \sf{222°+81°+6x+13x \:=\:  360°}

\rightarrow \sf{303+19x \:=\:  360°}

\rightarrow \sf{19x \:=\:  360-303}

\rightarrow \sf{19x \:=\:  57}

\rightarrow \sf{x \:=\:  \frac{19}{57}}

\rightarrow \sf{x \:=\:  3}

Hence, \sf{x \:=\:  3}

So, First angle \sf{= \:6x\: = \:6×3 \:=} \sf\purple{18°.}

Second angle \sf{= \:13x\: = \:13×3 \:=} \sf\purple{39°.}

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Hope it helps you:)

3 0
2 years ago
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Dafna1 [17]

Answer:7

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hope this helps and have a wonderful day!!!

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