A school supply company is giving away free whiteboards to promote their stain-free markers. The company can spend up to $42,840 on the whiteboards. If each whiteboard costs the company $8, how many whiteboards will they be able to give away?

Answer:

Width = 10ft

Length = 12ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is calculated as:

A = L*W

In this case, we know that:

The area is 120 ft^2.

The length is 2 ft more than the width.

Then we can write:

L = W + 2ft.

If we use these two equations and replace them in the equation for the area of a rectangle, we get:

A = 120ft^2 = W*L = W*(W + 2ft)

120ft^2 = W*(W + 2ft)

Now we can solve this for W

120 ft^2 = W^2 + 2ft*W

Now we can rewrite this as:

W^2 + 2ft*W - 120ft^2 = 0

The solutions of this equation can be found by the Bhaskara's formula.

We know that for an equation of the form:

a*x^2 + b*x + c = 0

The two solutions are given by:

[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]

in our case, we have:

a = 1

b = 2ft

c = -120ft^2

Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:

[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]

Then the two solutions are:

W = (-2ft - 22ft)/2 = -12ft  (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)

The other solution is:

W = (-2ft + 22ft)/2 = 10ft  (this is the correct solution)

Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:

L  = W + 2ft = 10ft + 2ft = 12ft

Answer:

[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]

Step-by-step explanation:

The equation of a line, in slope-intercept is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which [tex](x_0,y_0)[/tex] is a point in the line and m is the slope.

We have these following points:

(-3,2), (0,1)

I am going to use [tex](x_0,y_0) = (-3,2)[/tex]

So

[tex]y - 2 = m(x - (-3))[/tex]

[tex]y - 2 = m(x + 3)[/tex]

Finding the slope

The slope, given two points, is given by the change in y divided by the change in x. In this question:

Points (-3,2) and (0,1).

Change in y: 1 - 2 = -1

Change in x: 0 - (-3) = 0 + 3 = 3

So

[tex]m = \frac{-1}{3} = -\frac{1}{3}[/tex]

So the equation of the line is:

[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]

Answer:

if you need an answer it's 5 4/5

Answer:

p – 7 = -12

The answer

P = 7

8p - 16 = 40

40 + 16 = 56

8p = 56

56 ÷ 8 = 7

Answer:

The Answer is C

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST

Answer:

14

Step-by-step explanation:

give the other guy brainliest pls

Answer:

23

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

If you look carefully at the number line between -4 and -8 and see the line between the two, you can see that each mark is |2| apart.

If you go up from -4 to the blue dot, you go: -2, 0, 2, 4. There are 4 lines above from -4, so this matches.

Your answer is 4.

Answer:

12.5 weeks <3

Step-by-step explanation:

Answer:

picture please

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

100 is at the very limit, you've already spent 20 on the cake, now just count by fives to eighty and 16 x 5 = 80

Answer:

1,600

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

35 is the answer, it cant be 15 due to red being 21 MORE  

Answer:

why yall got the question i use to have now this 2021 i won nun off this ughhh i think it is D

Step-by-step explanation:

Answer:

A. A triangle with angles measuring 75°, 60°, and 45°

Step-by-step explanation:

Answer:

do you have a picture of the equations? then I can help you when you do

Answer:

1,3

Step-by-step explanation:

Answer: y=-2x+2

Step-by-step explanation:

Find the slope of the two points:

m= (4-2)/(-1-0)=-2

The y int: (0,2) which is given

The slope int form is y=mx+b: y=-2x+2

[tex]hypotensuse \: = \sqrt{ {6}^{2} + {9}^{2} } = \sqrt{36 +81 } = \sqrt{117} = 10.82[/tex]

Answer:

5 minutes per lap.

Step-by-step explanation:

45÷9=5

Answer:

183 A

Step-by-step explanation:

Answer:

The associative property because it allows you to group together numbers to make it easy to add.

I hope this helps!

Answer:

The president is permitted to veto specific legislative acts, but Congress has ... and judicial appointments and on the approval for ratification of treaties. ... State shall have the Qualifications requisite for Electors of the most numerous Branch of the State Legislature. ... No Bill of Attainder or ex post facto Law shall be passed. Step-by-step explanation:

Answer:

2(6)+(20-(17))

Step-by-step explanation:

i think thats what you mean

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

[tex]\mu = 65 - 70 = -5[/tex]

The standard deviation is the square root of the sum of the variances. So

[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-5)}{7.81}[/tex]

[tex]Z = 0.64[/tex]

[tex]Z = 0.64[/tex] has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Answer:

Fs = 15 Hz > 12.7322 Hz

Hence, Nyquist theorem is NOT violated

Step-by-step explanation:

Given that;

a signal given by 15cos(20t) + 20sin(40t)

sampled at a rate of 15 Hz

Is the Nyquist theorem violated?

so;

from 15cos(20t) + 20sin(40t)

Freq F1 = 20/2π  Hz

F1 = 3.1830 Hz

and

Freq F2 = 40/2π

F2 = 6.3661 Hz

Now, Nyquist's rate FN ≥ 2 × F_max

FN ≥ 2 × 6.3661

FN ≥ 12.7322 Hz

Now our given signal was sampled at a rate of 15 Hz

so, Fs = 15 Hz > 12.7322 Hz

Hence, Nyquist theorem is NOT violated

Answer: 8 miles

Step-by-step explanation:

2 in=1 mile.

16 divided by 2 is 8

Answer:

192 feet is your answer .

Step-by-step explanation:

12×16=192 feet base.

Answer:

$132

Step-by-step explanation:

264 divided by 8 = 33. 33 x 4 = 132

Answer:

132

Step-by-step explanation:

Total number of oranges = 264

Total number of oranges in each bag = 8

264 ÷ 8

= 33

33×4

= 132