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avanturin [10]
3 years ago
6

School rule states u must have 1 adult for every 6 children one class has 24 children, one has 26 children,and the third has 28

each class has 1 teacher how many adults should it have
Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
There should be 10 more adults in all three classes together, with a total of 13 adults
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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
How do you graph a line written in standard form
Sonbull [250]
Ok so standard form is a bit tricky, but I’ll help explain

Here’s and example:

If you have 2x+5y=10 here is how you would solve it

First you divide the x value by what the number is equal to (in our example, 10), and then we get 10/2 is 5. So now we know that

x is equal to five

Keep that in mind. Now we just have to do the same thing for the y value. 5/10 is 2, so you know that

y is equal to two

NOW you put those two together, and graph on the intercepts (the positions on the y and x axis where the lines intercept)

You would put a line on the x axis at 5, and on the y axis at 2

If you have any questions, you can ask
4 0
2 years ago
2) 3x + 4y = 8<br> 2x+y=42<br> a) (30, -19)<br> b) (31, -20)<br> c) (32,-22)<br> What is the answer
kirza4 [7]

Answer:

C

Step-by-step explanation:

We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.

3x+4y=8 Equation 1

2x+y=42 Equation 2

Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x

2(3x+4y=8)= 6x+8y=16 Equation 3

3(2x+y=42)= 6x+3y=126 Equation 4

Subtract equation 4 from 3, to eliminate x

6x-6x=0

8y-3y= 5y

16-126= -110

We now have 5y=-110

Divide both sides by 5,

y= -110/5

= -22

Substituting for y in equation 2

2x+(-22)= 42

2x= 42+22

2x=64

x= 64/2

= 32

(x, y)

(32, -22)

7 0
3 years ago
Fiona doubled the original amount in her savings account, s. Which expression represents her new balance and what is that new ba
earnstyle [38]

Answer:

C is the answer ,got it right on EDG 2020

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 24^2? Use mental math.
AnnZ [28]

Answer:

576

Step-by-step explanation:

calculator

5 0
3 years ago
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