Questions: 6. Which expression is equivalent to 30 ÷ (3+x) ? A) (3+x) ÷ 30 B) 30 ÷ (x+3) C) (3 ÷ 30)+x (b) 30 ÷ 3+30 7. The sum of the measures of two angles is 183.6°. One angle has a measure of 54°. What is m, the measure in degrees of the second angle? (A) m=129.6° B) m=3.4° C) m=9,914.4° D) m=237.6° 9. According to CBS, in 2000 the average cost of a World Series ticket was 270. This is 180 less than the cost of a 2007 ticket. How much was a ticket in 2007 ?

6. Which expression is equivalent to 30 ÷ (3+x) ?
A) (3+x) ÷ 30
B) 30 ÷ (x+3)
C) (3 ÷ 30)+x
(b) 30 ÷ 3+30
7. The sum of the measures of two angles is 183.6°. One angle has a measure of 54°. What is m, the measure in degrees of the second angle?
(A) m=129.6°
B) m=3.4°
C) m=9,914.4°
D) m=237.6°
9. According to CBS, in 2000 the average cost of a World Series ticket was 270. This is 180 less than the cost of a 2007 ticket. How much was a ticket in 2007 ?

Transcript text: 6. Which expression is equivalent to $30 \div(3+x)$ ? A) $(3+x) \div 30$ B) $30 \div(x+3)$ C) $(3 \div 30)+x$ (b) $30 \div 3+30$ 7. The sum of the measures of two angles is $183.6^{\circ}$. One angle has a measure of $54^{\circ}$. What is $m$, the measure in degrees of the second angle? (A) $m=129.6^{\circ}$ B) $m=3.4^{\circ}$ C) $m=9,914.4^{\circ}$ D) $m=237.6^{\circ}$ 9. According to CBS, in 2000 the average cost of a World Series ticket was $\$ 270$. This is $\$ 180$ less than the cost of a 2007 ticket. How much was a ticket in 2007 ?

Solution

Solution Steps

Step 1: Analyze the multiplication problem

The problem asks us to multiply 35 by 4.

Step 2: Perform the multiplication

35 multiplied by 4 is calculated as follows:

x 4

140

Step 3: Compare with the given answer

The given answer is 19.6, which is incorrect. The correct answer is 140.

Final Answer

\$\boxed{140}\$

Step 1: Analyze the expression

The given expression is $30 \div (3+x)$. We need to find an equivalent expression.

Step 2: Check each option

A) $(3+x) \div 30$ is not equivalent because division is not commutative. B) $30 \div (x+3)$ is equivalent because addition is commutative (3+x = x+3). C) $(3 \div 30) + x$ is not equivalent because division is not distributive over addition. D) $30 \div 3 + 30$ is not equivalent because it doesn't involve the variable x and doesn't respect the order of operations in the original expression.

Final Answer

\$\boxed{B}\$

Step 1: Set up the equation

Let the measure of the second angle be 'm'. The sum of the two angles is 183.6 degrees. One angle measures 54 degrees. So, the equation is:

m + 54 = 183.6

Step 2: Solve for m

Subtract 54 from both sides of the equation:

m = 183.6 - 54 m = 129.6

Final Answer

\$\boxed{m = 129.6^{\circ}}\$

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