There are 3,542 books of the same thickness
and weight in a room. The room has 321 shelves.
If the books are split evenly among the shelves,
how many books will be on each shelf, and how
many will be left over?

Answer:

x = 120

z = 21

Step-by-step explanation:

x and 60 are supplementary, so added together they make 180.

x + 60 = 180

subtract 60 from both sides

x = 180 - 60

x = 120

next, x and 4z+36 are equal, so you can make this equation:

x = 4z + 36

substitute x for 120 as established earlier.

120 = 4z + 36

subtract 36 from both sides

120 - 36 = 4z

84 = 4z

divide both sides by 4

84/4 = z

21 = z

Hey there!

Problem A.
((-10)^3 * 6)^3

= ((-10)(-10)(-10) * 6)^3

= (100(-10) * 6)^3

= (-1,000 * 6)^3

= (-6,000)^3

= (-6,000)(-6,000)(-6,000)

= 36,000,000(-6,000)

= 216,000,000,000

Thus, your answer is: 216,000,000,000

Problem B.
(3^2/5)^3

= (3 * 3 / 5)^3

= (9/5)^3

= 9/5(9/5)(9/5)

= 9 * 9 * 9 / 5 * 5 * 5

= 81 * 9 / 25 * 5

= 729 / 125

≈ =5 104 / 125

≈ 5.832

Thus, your answer is:

5.832 , 5 104/125, or 729 / 125

EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT TO EACH EACH OTHER!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

it’s on the bottom ~~~

Answer:

16 square units

Step-by-step explanation:

Hopefully this helps :)

Answer:

62.6

Step-by-step explanation:

if 32.3 is a half of a number then multiply it by 2.

32.3 x 2 = 62.6

Answer:

The point on the bottom right quadrant which is the lowest. (Look at photo.)

Step-by-step explanation:

The first coordinate always coresponds to the x coordinate and the second to the y coordinate. So here the x coordinate is 1.5 and the y coordinate is -5. All you need to do is find both of these values on the axis and find where they intercept.

I circled the correct location in the attachment.

Answer:

15

Step-by-step explanation:

y=3x

5(x)x3=15

Answer:

The answer is 15

Step-by-step explanation:

Its a pretty easy pattern just multiply the x value by 3, so 5x3=15

from the first equality we have

3x - 6y = 2

3x = 2 + 6y

x = 2/3 + 2y

we replace x by this value in the second equality

4 * (2/3 + 2y) + 3y = -1

8/3 + 2y + 3y = - 1

5y = - 3/3 - 8/3

5y = - 11/3

y = -11/15

and we can get x now :

and x = 2/3 + 2*(-11/15)

x = 2/3 - 22/15

x = 10/15 - 22/15

x = - 12/15

check

3 * (-12/15) - 6 * (-11/15) = -36/15 + 66/15 = 2

Answer:

2778

Step-by-step explanation:

The answer is 1,909,440

Please mark as brainliest

Answer:

445.2 i think

Step-by-step explanation:

The minimum qualifying score to join the genius society is 130, the correct option is B.

In the top 2%, you have to have an IQ higher than 98% of the population (100% - 2%). This is also known as the 98th percentile.

Given

A genius society requires an IQ that is in the top 2% of the population in order to join.

If an IQ test has a mean of 100 and a standard deviation of 15.

For this problem, you are given the probability and need to determine the raw score.

For the probability, go to the z–table and find the probability that is closest to 0.98. Then look across the row and up the column to determine the z-score.

The closest probability is 0.97982 and that corresponds to a z-score of 2.05.

With a z-score of 2.05, you can use the z formula to compute the raw score.

[tex]\rm z-score=\dfrac{X- mean }{Standard \ deviation}\\\\2.05=\dfrac{x-100}{15}\\\\2.05 \times 15 = x-100\\\\30 +x-100\\\\x=100+30\\\\x = 130[/tex]

Hence, the minimum qualifying score to join the genius society is 130.

To know more about z-score click the link is given below.

https://brainly.com/question/13299273

Answer:

option 1 is true. y^5/8

Answer:

We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.

Step-by-step explanation:

hope this helps!

problem number one is all real numbers, so it has an infinite number of answers

problem number two is also all real numbers, so it has an infinite number of answers

Answer:

[tex]4y = 16-2x\\y = \frac{16}{4} - \frac{2x}{4}\\ y = \frac{-1x}{2}+4\\y = 0.5x+4[/tex]

Given parameters:

  Equation of the straight line;

                    2x + 4y = 16

The slope intercept form of the equation is y = mx + c

Where m is the slope of the line

            y and x are the coordinates

             c is the intercept

So, the problem is to write the given equation in form of y = mx + c;

         2x + 4y = 16

                 4y = 16 - 2x

  Divide through by 2;

                 [tex]\frac{4y}{2}[/tex]   = [tex]\frac{16}{2}[/tex] - [tex]\frac{2x}{2}[/tex]

                  2y = 8 - x

                    2y = -x + 8

 Then divide by 2 all through;

                    [tex]\frac{2y}{2}[/tex] = [tex]\frac{-x}{2} + \frac{8}{2}[/tex]

                   y = [tex]\frac{-x}{2} + 4[/tex]

The equation of the line is y = [tex]\frac{-x}{2} + 4[/tex]

it should be flipped over the x-axis and translated to the right by 2

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

I believe it is C

Step-by-step explanation:

Answer:

The percent is 4.9471%

Step-by-step explanation:

Here, we want to find the percentage of observations that lie above z = 1.65

Firstly we find the probability of x < z = 1.65

Hence P ( x > 1.65)

This is obtainable from the standard normal distribution table

The value of P(x > 1.65) = 0.049471

This represents a percentage of 4.9471%

Answer:

4.95/4.9471 is correct

ED2021

Answer:

2. 2

81r - s/49

Step-by-step explanation: I don’t know how to explain it but yeah

( I’m probably wrong so if I am I’m sorry)

Answer:

Step-by-step explanation:

Answer:

86 degrees

Step-by-step explanation:

Alrighty, a simple 180-degree triangle, we can see that the two angles add up to 86, so what would make our angle G1 94 since 180-86 = 94, but we are tasked with finding the other side of that angle, let's call it G2, what should we do?

Since this is a flat 180-degree line, we do it again!

180-94 = 86 degrees

And there ya have it

Though, if you need the technical side, it's because a whole of a triangle is 180 degrees

Given that angles F is 58 and E is 28, we add those two up to find angle EGF. How to find EGF you ask? Simple- 180 degrees (Because it's a triangle) minus 86 (Added angles of E and F), that would equal 94.

Now, we are tasked with finding TGF. We do not have TGF but we have EGF. Learning that, we see the line ET, indicating that we have found ourselves a 180-degree line. What do we do with this line? We use it to calculate TGF with EGF

Since EGF is 94, we take the 180 - 94 to equal 86, and that is how you find TGF

Answer:

x/65= 7/17.78

Step-by-step explanation:

B or witch  ever one looks like that

Step-by-step explanation:

2.03×10⁶ is the scientific notation of this number.

Answer:

11

Step-by-step explanation:

Because 66 ÷ 6 ( Max amount of dots on one side ) = 11

Answer:

9456.25?

Step-by-step explanation:

25% in taxes would be 3750+the depreciation and operating costs equals 12450. income was 15000, and they had an outstanding bond worth 6500 with 6.25% interest added onto it, so you get like 21906.25. then i just subtracted it. not sure if it is right, i took accounting 101 like a year or 2 ago, lol

Answer:

4x-3x+2=4(3x-5)

1x+2=12x-20

22=11x

2=x

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

x=2

Step-by-step explanation:

4x-3x+2=12x-20

x+2=12x-20

2=11x-20

22=11x

x=2

Answer: Adjacent angles

Step-by-step explanation:

The angles share a common side.