The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
- Let the amount of works done by Latisha be = x
- Then, the amount of works done by Demetrius will be = x + 1
Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
- 5 times open paren x plus 1 close paren and 5 x plus 5 is correct.
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Answer:
6<8
Step-by-step explanation:
This is actually simple since the 6 is less than 8 the thing will face away from the 6 and towards the 8.
Answer:
m<DCB = 84°
Step-by-step explanation:
ABCD is a parallelogram since it has two sets of parallel sides.
Opposite angles in a parallelogram are congruent.
Consecutive angles in a parallelogram are supplementary.
<DCB is consecutive to <D.
m<DCB + m<D = 180°
m<DCB + 96° = 180°
m<DCB = 84°
<h3>
Answer: 17,576,000 </h3>
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Explanation:
Assuming repeats are possible, we have 26 letters for the first slot, 26 for the second, and 26 for the third. This gives 26^3 = 26*26*26 = 17,576 different plates so far.
Then we have 10 digits to choose from for the fourth slot, 10 for the fifth, and 10 for the six slot. This gives 10*10*10 = 1000 different combos for the numeric digits.
Overall we have 17,576*1000 = 17,576,000 different license plates possible.
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In short, we're computing 26^3*10^3 = 17,576,000
