The equivalent form of 14(p + 6) − 10(2q + 5) is 14p − 20q + 34.
<h3>What is mathematical expansion?</h3>
An mathematical expansion occurs when a mathematical object is been scaled using a scale factor that is greater in absolute value than one.
14(p + 6) − 10(2q + 5)
If we open the bracket, we have
14p − 20q + 34
Therefore option D is correct.
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Answer:
a) T= 3.125h
b) $75
Step-by-step explanation:
Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.
We can divide $50 into 16 hours.
50/16 = 25/8
25/8 = 3.125
3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)
That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.
Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.
We know Tania earns $3.125 per hour, so we can make it this equation
T= 3.125h
T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.
Now onto the second question: How much would she have raised by staying awake for 24 h?
We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.
(I apologize in advance if I misread something or made a mistake)
ANSWER
The mean absolute deviation is 1.75
EXPLANATION
The given date set is 2, 2, 5, 6, 8, 4, 8, 5
The mean is

The mean absolute value deviation is given by:





She should use 50% off.
964 divided by 1/2 = $482
964 - 400 = $564
Answer:
(1/2 ,3) or (0.5, 3) is the same
Step-by-step explanation:
The midpoint between (3,5) and (-2,1) would be:
Apply the formula:
x1+x2 / 2 , y1 + y2 / 2
= 3 + (-2) / 2, 5 + 1 /2
= 1/2, 6/2
= 1/2 ,3 or 0.5, 3 is the same
Hope this helped :3