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Vladimir [108]
3 years ago
11

Solve the inequality below -3(11 + 6x) < -42 - 9x

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

x>1

Step-by-step explanation:

-3(11 + 6x) < -42 - 9x

Expand:

-33-18x

Add 33 to both sides:

-33-18x+33

-18x

Add 9x to both sides:

-18x+9x

-9x

Flip the signs (and the symbol)

9x>9

Divide both sides by 9:

\frac{9x}{9}>\frac{9}{9}

x>1

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nadezda [96]

Answer:

Step-by-step explanation:

\2.\\\frac{4}{3} =\frac{x}{2.25} \\3x=2.25*4=9\\x=9/3=31.\\\frac{x+8}{2x-5} =\frac{10}{14} =\frac{5}{7} \\10x-25=7x+56\\10x-7x=56+25\\3x=81\\x=81/3=27

5 0
3 years ago
Please answer quickly!!!!!
Sindrei [870]

The answer would be "B", 246 m2.

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Hannas school her to the book donation there are 150 students at her school and they Donated a total of b books Hannah do need i
Ilia_Sergeevich [38]

Answer:

She donated b/50 books

Step-by-step explanation:

In this question, we are we are told 150 students donated a total of b books. The average number of books donated by each student will be:

The total number of books/ the total number of students.

The average number of books is this b/150.

Now, we are also told that Hannah donated 3 times the average number of books.

This is simply calculated by multiplying the average number of books donated by 3

This is equal to 3 * b/150 = b/50 books

Hence, Hannah donated b/650 books

4 0
3 years ago
Write the function AG(X) representing the area of the garden in terms of x.
k0ka [10]

The area of this rectangle is x*y. But, this problem requires that you represent the variable "y" in terms of "x" only.

A hint here is that the variable "y" represent a point on the line that connects the end points (0,b) and (a,0).

The first step to solve this problem is to get the expression of this line.

The slope of this line is:   m = (0 - b)/(a - 0) = -b/a

Because the point (x,y) is on this line we have:   y - b = m(x - 0)

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Solution: Area of the rectangle = x*y = x*((-b/a)x + b) = (-b/a)x2 +bx

6 0
3 years ago
Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes.
natta225 [31]

Answer:

The probability is 0.0015

Step-by-step explanation:

We know that the mean \mu is:

\mu=6:30\ p.m

The standard deviation \sigma is:

\sigma=0:15\ minutes

The Z-score is:

Z=\frac{x-\mu}{\sigma}

We seek to find

P(x>7:15\ p.m.)

The Z-score is:

Z=\frac{x-\mu}{\sigma}

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Z=\frac{0:45}{0:15}

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The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

P(x>7:15\ p.m.)=P(Z>3)=0.0015

3 0
3 years ago
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