Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bin is 4 feet wide, 4 feet tall, and 4 feet deep. Based on volume only, about how many books will fit in the bin?

Answer:

It is 15 but I don't know what the steps are since I took a test on this question and failed to get the right answer.

Answer:

4 1/2 inches

Step-by-step explanation:

Hi! I hope this helps!:

Since Ms. Henderson's plant is 6 1/3, all we need to do is subtract 1 5/6 from it! We do this because it says, "1 5/6 inches taller than Megan's plant".

For the next steps, you can change the mixed numbers into decimals or into improper fractions! 6 1/3 would be 19/3. 1 5/6 would be 11/6. You can find a common denominator for both. I would make 19/3 to 38/6.

Lastly, you need to subtract and make it into simplest form! 38/6 - 11/6 = 27/6.

You could simplify it to 9/3, 4.5, or 4 1/2 inches.

Answer:

The is 4 1/2. just like

ChocoWaffoALT said.

Answer:

Well I'm not sure what your answer choices are but based on the question I can tell you this:

If you have 4 wood and 5 other materials then you have 9 total materials.

So if you have 4 wood then you have a 4/9 chance of choosing wood.

And you have a 5/9 chance of choosing another material

So based on that, you would be more likely to choose another material, that is not wood.

Answer:

1/35

Step-by-step explanation:

plz mark brainllest

Answer:

1/7 divided by 5 =

1/35

in decimal form, its:

0.0285714...

Answer:

positive

Step-by-step explanation:

the discriminant of the function is postive.

because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0

that implies the discriminant is positive.

[tex]\Delta = \sqrt{b^2-4ac}[/tex]

if [tex]\Delta > 0[/tex] we have 2 distinct real solution

if [tex]\Delta <0[/tex] we have no real solution but 2 complex solutions

if [tex]\Delta = 0[/tex] we have 2 identical real solution

Answer:

-0.9³

Step-by-step explanation:

that's the answer hope it helps

Answer:

(-0.9)×(-0.9)×(-0.9)

(-0.9)^3

Answer:

1,200

Step-by-step explanation:

3x2=6 and 6x200=1,200

Answer:

last option is correct

............................

Answer:

Step-by-step explanation:

you first have to find two points that pass directly through the graph in this case we have (1,4) and (4,-4)

Now we use y2-y1 divided by x2-x1

in this case -4 - 4 (y2-y1) and 4 - 1 (x2-x1)

giving you -8 and 3

so try putting -8/3 as your answer this is what i would put sorry if it is incorrect

Answer:

2 hours 6 minutes

Step-by-step explanation:

40% of 315 is 126 [miles]

126 miles = 126 minutes, since he went at 60 miles per hour [one mile per minute]

126 minutes = 2 hours 6 minutes

So, 2 hours 6 minutes, or 126 minutes.

Answer: 10;20.478261

Step-by-step explanation: I hope that helps if you don,t undertand tell me

Answer:

it's a negative answer Because there's one negative and one positive and if there are your two negatives that makes a positive and it's also the same with two positives

Step-by-step explanation:

In pictures answered .

Answer:

Step-by-step explanation:

Let x be the number of hours worked

Let C = the charge made by the first company

Let c  = the charge made by the second company

You want to know when the costs will be =.

Equations

C = 376 + 12x

c = 280 + 15x

Solution

Make the two right sides equal

376 + 12x = 280 + 15x            Subtract 12x from both sides

376 = 280 + 15x - 12x             Combine like terms on the right

376 = 280 + 3x                       Subtract 280 from both sides

376 - 280 = 3x                        Combine

96 = 3x                                    Divide both sides by 3

32 = x

Each company would have to work 32 hours to get the same amount to be charged.

C = 376 + 12x

C = 376 + 12*32

C = 376 + 384

C = 760

The amount each would charge is 760

==========================================================

Explanation:

For the original two digit number, we have:

The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.

This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:

(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)

This sum is stated to be 154

11(x+y) = 154

x+y = 154/11

x+y = 14

Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x

x+y = 14

x+x-2 = 14 ... replace y with x-2

2x-2 = 14

2x = 14+2

2x = 16

x = 16/2

x = 8 is the tens digit of the original number

y = x-2

y = 8-2

y = 6 is the units digit of the original number

The original number is 10x+y = 10*8+6 = 86

As a check, adding 86+68 = 154 which confirms our answer.

Answer:

I was learning that to but it is way to blurred out and I can not see the text.

You need to make a clear picture if you need answers or no one can help you because we don't know what it say's.

Step-by-step explanation:

First, rewrite

[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = \dfrac{(x^2-3x+7)+(8x-3)}{x^2-3x+7} = 1 + \dfrac{8x-3}{x^2-3x+7}[/tex]

Next, we have

[tex]\dfrac{x^2-3x+7}{8x-3} = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]

so we can further rewrite

[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = 1 + \dfrac1{\frac x8 - \frac{21}{64} + \frac{385}{512x-192}}[/tex]

The idea behind all this is to get the limand into a form resembling the limit definition of the constant e, which is

[tex]\displaystyle e = \lim_{x\to\infty} \left(1+\frac1x\right)^x[/tex]

The next step is to make the substitution,

[tex]y = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]

Solving for x gives two solutions,

[tex]x = \dfrac{8y+3\pm\sqrt{64y^2+36y-19}}2[/tex]

but we want to have y approaching infinity, just like in the definition for e, which is achieved only by the solution with the positive square root. (You can check for yourself that the other solution instead approaches 3/4.)

So, our limit is equivalent to

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+\sqrt{64y^2+36y-19}}2}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+8y\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}}2}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{4y\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)} \cdot \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32}[/tex]

Next, we use the fact that

[tex]\displaystyle \lim_{x\to\infty} f(x)^{g(x)} = \left( \lim_{x\to\infty}f(x)\right)^{\lim\limits_{x\to\infty}g(x)}[/tex]

Now, the "base" limit is e, while the "exponent" limit is

[tex]\displaystyle \lim_{y\to\infty} 4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right) = 4(1+\sqrt{1+0+0}) = 8[/tex]

and the remaining limit is simply

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32} = (1+0)^{\frac32} = 1[/tex]

So, we end up with

[tex]\displaystyle \lim_{x\to\infty} \left(\frac{x^2+5x+4}{x^2-3x+7}\right)^x = e^8 \cdot 1 = \boxed{e^8}[/tex]

Answer:

Step-by-step explanation:

y=6+2x

where x is number of hours.

Answer:

Step-by-step explanation:

The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table

y = 4x

x    1     3     5

y    4    12    20

So I just multiplied 4 by  3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)

What about a more complex line.

y = 4x + 5

x 1  3  5

y 9 17 25

The green line show (1,9),(3,17),(5,25)

Answer:

Recipes 1 and 3 will make the same amount

Answer:

c

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70

Answer:

[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

[tex]\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}[/tex]

We can use the distributive property to simplify:

[tex]\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}[/tex]

The sum of the two is:

[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]

Answer:

[tex]y = \frac{4}{3} x - 4[/tex]

Hope it helped:)

Answer:

  $13,259.30

Step-by-step explanation:

The account balance with compound interest is ...

  A = P(1 +r/n)^(nt)

  A = $12,000(1 +0.05/12)^(12·2) ≈ $13,259.30 . . . . will be owed in 2 years

__

It's a straight compound interest problem. "No payments for 2 years" means the account continues to accrue compounded interest. It's basically a future-value problem, as opposed to an amortization or annuity problem where payments are involved.