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2 years ago

-3x + 5<-16 X(type your answer)(type your answer)

Mathematics

2 answers:

koban [17]2 years ago

7 0

Answer:

X = 6

Step-by-step explanation:

-3x < 21
-7*3 = -21
-21=-21
-6*3 = -18

-18 < 21
X = 6 since -3x is -18 and negative cancels each other

Degger [83]2 years ago

4 0

Answer:

x > 7

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

$-3x+5-5$
$-3x$

Step 2: Divide both sides by -3.

$-3x/-3$
$x>7$

Therefore, the answer is x > 7.

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Solve - 3/5 x + 1/5 > 7/20

shusha [124]

Answer:

x< -1/4

Step-by-step explanation:

- 3/5 x + 1/5 > 7/20

Subtract 1/5 from each side

- 3/5 x + 1/5-1/5 > 7/20-1/5

-3/5x > 7/20 -1/5

Get a common denominator

-3/5x > 7/20 -1/5*4/4

-3/5x > 7/20 -4/20

-3/5x> 3/20

Multiply by -5/3 to isolate x

Remember that flips the inequality

-5/3* -3/5 x < 3/20*-5/3

x < -1/4

3 0

3 years ago

Read 2 more answers

HELP ASAP !!!!!!) Write an expression that would represent 2 times a number increased by 5.

Gnesinka [82]

Answer:

y=2x+5

Step-by-step explanation:

6 0

2 years ago

The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years

nevsk [136]

If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes: 150*(0.96)

At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹² simplify with calculator.

≈ 91.91

Value at the end of 12 years becomes ≈ $91.91

I hope this helps.

8 0

3 years ago

Find the slope of the line. thanksss

Sveta_85 [38]

Answer: the slope is 1

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A certain restaurant always overbooks. If possible. At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53

oee [108]

Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
If the probability of a party not showing up is 0.04.
Assuming independence.

Let X denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters n = 53 and p = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

$P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564$

Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

7 0

3 years ago