Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain movie. How many were in the 12-29 age group?
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A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.Which expression represents how many teaspoons of butter Melinda should use? A. 0.6 x 2 B. 1.6 x 2 C. 0.4 x 2 D. 1.4 x 2
Solve the system of equations using substitution.y = 4x + 6y = 2xa. (6, 3)b. (-3, -6)c. (3, 6)d. (1, 2)
List two main differences between an expression and an equation
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A=bh
12= 5.25b
Divide both sides by 5.25
b=2.29 ft
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Answer: -2/9
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Answer:
192,000 of the CDs will be of rock music
Step-by-step explanation:
In this question, we are tasked with calculating how many of the CD’s will be of rock music.
To calculate this, we proceed as follows;
We simply find 64% of the total planned production of 300,000
Hence, we have
64/100 * 300,000
= 64 * 3000 = 192,000
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Answer: Choice C
angle HDG = angle HFE
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Explanation:
We have the statement given to us. Note that "H" is in the middle for both sequences of three letters. For DHG, start at H and move back one space to get to D. Move back another unit to wrap around to G. So the new sequence is HDG which forms the first angle.
Follow the same pattern but for FHE now. Start at H, move backward one spot to F, then move back again to wrap around to E. We have HFE
This shows angle HDG pairs up with angle HFE. The corresponding angles are congruent due to CPCTC
CPCTC = corresponding parts of congruent triangles are congruent
Notice how angles HDG and HFE are alternate interior angles, which lead to showing DG is parallel to EF.
3/4z-1/3=2/3z+1/5
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3/4z - 2/3z = 1/5 + 1/3
9/12z - 8/12z = 3/15 + 5/15
1/12z = 8/15
z = 8/15 * 12
z = 96/15 = 32/5 or 6 2/5
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Final answer:
Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.
Explanation:
To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.
For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.
If he works more than 40 hours in a week, the additional hours are considered overtime.
For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.
Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.
Learn more about overtime pay here:
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