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3 years ago

Solve the inequality: 3p - 16 < 20

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

4 0

Isolate the p. First, add 16 to both sides

3p - 16 (+16) < 20 (+16)

3p < 36

Next, isolate the p. Divide 3 from both sides

3p/3 <36/3

p < 12

p < 12 is your answer

hope this helps

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A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability

stepladder [879]

A. 5 digit code with digits from 0-9 with no repetition.

Choices for 1st digit=10, and choices for successive digits are 9,8,7,6.

Probability of guessing it correctly on first try is

1/(10*9*8*7*6) = 1/30240

B. If zero is not in the combinations, then the domain of digits is 1-9, or 9 choices. Digits can repeat means every digit in the code has 9 choices.

Number of arrangements = 9^5 = 59049

Probability of guessing at first try = 1/59049

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3 years ago

Read 2 more answers

How would I factor this? 14u^2 - 33u - 5

Umnica [9.8K]

Answer:

(7u+1)(2u-5)

Step-by-step explanation:

miltiply the coefficient of u² and the integer -5 = -70

from basic intuition: factors are -35 and +2

(which when added gives -33 and multiplies to give 70)

14u² -35u +2u -5

7u(2u-5) +1(2u-5)

(7u+1)(2u-5)

6 0

3 years ago

Consider the expression 40+24 . Find the greatest common factor of the two numbers, and rewrite the expression using the distrib

Artist 52 [7]

Answer:

$8[5 + 3]$

Step-by-step explanation:

24: 1, 2, 3, 4, 6, 8, 12, 24

40: 1, 2, 4, 5, 8, 10, 20, 40

So the Greatest Common Divisor [GCD] is eight; you factor that out, leaving the remaining result inside the brackets.

I am joyous to assist you anytime.

4 0

3 years ago

3(x+1)^(4/3)=48 how do i solve this?

IrinaK [193]

$3(x+1)^{\frac{4}{3}}=48\\\\\frac{3(x+1)^{\frac{4}{3}}}{3}=\frac{48}{3}\\\\(x+1)^{\frac{4}{3}}=(x+1)^{(\frac{1}{3}*4)}=\sqrt[3]{(x+1)^{4}}=16\\\\(\sqrt[3]{(x+1)^{4}})^{3}=16^{3}\\\\(x+1)^4=4096\\\\\sqrt[4]{(x+1)^4}=\sqrt[4]{4096}=\pm8\\\\\\x+1=\pm8\\\\x+1=8\\x=7\\\\x+1=-8\\x=-9$

Your answers are x = 7 and x = -9.

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3 years ago

30 people go for dinner it costs £240.93 how much should each person pay

yKpoI14uk [10]

The answer is 8.031 per person

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4 years ago