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Nataly_w [17]
3 years ago
9

A quiz consist of 2 true-or-false questions 3 are multiple choice questions. The multiple choice questions have 3 options each.

How many ways can a student complete the quiz?
a.36
b.162
c.108
d.18

A secrete code consist of 2 digits, followed by 2 letters, followed by 1 of the following symbols @,#,%, and &. Digits and letters cannot repeat.
a.243,360
b.260,000
c.234,000
d.270,400

How many distinct arrangements can you make using the letters in the word EXPERIMENT?
a.1,209,600
b.3,628,800
c.725,760
d.604,800

How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
a.330
b.720
c.7920
d.1980

There are 5 keys on a key chain. 1 of the keys start a car. A random key is chosen. What is the probability that it starts the car?
a.25%
b.5%
c.20%
d.15%

The probability of choosing a winning card from a stack of cards is 2.9%. What is the probability of choosing the losing card
a.87.1%
b.92.9%
c.99.71%
d.97.1%
Mathematics
1 answer:
Ahat [919]3 years ago
4 0
Part 1: 2×2×3×3×3=108 (c)
Part 2: 10×9×26×25×4=234000 (c)
Part 3: 10×9×8×7×6×5×4×3×2×1÷(3×2×1)=604800 (d)
Part 4: 11C4=11×10×9×8÷(4×3×2×1)=330 (a)
Part 5: ⅕=20% (c)
Part 6: 100-2.9=97.1 (d)
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To find the turning point we have to differentiate the given function.

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X + 25/-8 = -6 Solve for x.<br> Simplify your answer as much as possible.
balandron [24]

Step-by-step explanation:

if there is nothing missing, we have

x + 25/-8 = -6

in order to compare or add or subtract fractions, we need to bring them all to the same denominator (bottom part).

remember, integer numbers are fractions too. like here

-6 = -6/1

25/-8 = -25/8

so, how can we bring -6/1 to .../8 ?

by multiplying 1 by 8.

but we cannot multiply only the denominator by 8. otherwise we would suddenly have

-6/8

and is -6/8 = -6/1 ? no, certainly not.

to keep the original value of the fraction we have to do the same multiplication also with the numerator (top part).

so, we actually do

-6/1 × 8/8 = -48/8

with this little trick we have now .../8 to operate with, and our transformed fraction has still the same value

-6/1 = -48/8 indeed.

so, we have

x + -25/8 = -48/8

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Step-by-step explanation:

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