there are 112 students for 14 teachers write the rate as a fraction then find the unit rate

Distributive because he changed the fractions to the way it would go.

Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Answer:

9y-12x=36

9y=36+12x

y=(36+12x)÷9

Answer:  y=8 and x=3

Example: Because 9*8=72 and 12*3=36

72-36=36

Answer:

i think its A

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/2x3= 3/6

1/3x2=2/6

3/6+2/6=5/6

Answer:

He goes 8 miles an hour

Step-by-step explanation:

8/2 is equal to 4. If Brandon bikes 4 miles in half an hour and keeps a constant speed he ends up biking 8 miles in an hour since two halves of an hour make one.

Answer:

A, 38, 40

Step-by-step explanation:

a. A has to be the first graph because it starts at $ 25 and it rises as more work needs to get done

b.if you go from 50 up until you get to the line, then look left at the axis is about $38

c. C=25+s*0.25, substitute c=35 and find s

35=25+s*0.25 subtreact 25 from both sides

35-25= s*0.25

10=s*0.25 divide both sides by 0.25

10/0.25=s

40=s

Answer:

10

Step-by-step explanation:

Answer:

There are 5 terms in the series.

Step-by-step explanation:

[tex]S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\[/tex]

Take logs to get n = 5

Answer:

5

Step-by-step explanation:

Answer:

-30 feet

Step-by-step explanation:

it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss

Answer:

96.61

Step-by-step explanation:

Answer:

96 R (remainder) 8

Step-by-step explanation:

96 R8

Given:

Chris has a collection of dimes and quarters worth $4.25.

To number of coins = 22

To find:

The number of quarters.

Solution:

Let x be the number of dimes and y be the number of quarters.

Total coins : [tex]x+y=22[/tex]          ...(i)

we know that, 1 dime = $0.10 and 1 quarter = $0.25.

Total value : [tex]0.10x+0.25y=4.25[/tex]      ...(ii)

Multiply equation (i) by 0.10 and subtract the result form (ii).

[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]

[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]

[tex]0.15y=2.05[/tex]

Divide both sides by 0.15.

[tex]y=\dfrac{2.05}{0.15}[/tex]

[tex]y=13.6667[/tex]

Number of quarter cannot be a decimal value.

[tex]y\approx 17[/tex]

Therefore, the number of quarter is about 17.

Answer:

x/12

Step-by-step explanation:

Answer:

3.1%

Step-by-step explanation:

Subtract.

914 - 886 = 28

Divide by the original price.

28/914 = 0.0306345...

Multiply by 100%.

0.0306345... * 100% = 3.06345%

Round if needed.

3.06345% -> 3.1%

Best of Luck!

Answer: [tex]y = 3[/tex]

1. First, solve for unknown x.

[tex](x+5y=7)2[/tex]

2. Balance the equation.

[tex]2x+10y=14[/tex]

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

3. Now, we subtract.

[tex]6y = 18[/tex]

[tex]6[/tex] × [tex]3 = 18[/tex]

4. Finally, divide.

[tex]18/6=3[/tex]

Answer:

4/10 maybe cuz 12 divided by 30 is 0.4 and 0.4 would be 4/10

Answer:

m=0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Since -4-(-4)=0, we know that the slope has to be zero since the numerator is zero.

HTH :)

The Answer is B so pick it.

Answer:

What does a goat say?BBBBBBB

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

8+(8+3)

...........

Answer:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

Answer: X+(X-3)=21 or C

Answer:

The value  is  [tex]Z = 80[/tex]

Step-by-step explanation:

From the question we are told that

    The total  number of digit is  n = 5

     The total possible number of  6  is  k =  3

     The total possible number of  9  is  a = 2

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 3 of the digit are 6 is mathematically represented as

       [tex]N = ^ nP_k[/tex]

Here P stands for permutation hence we are going to be making use of the permutation function in our calculators

      [tex]N = ^ 5P_3[/tex]

=>   [tex]N = 60[/tex]

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 2 of the digit are 9 is mathematically represented as

       [tex]M = ^ nP_a[/tex]

      [tex]M = ^ 5P_2[/tex]

=>   [tex]M = 20[/tex]

Generally the number of 5-digit numbers there are in which three of the digits are 6, or two of  the digits are 9  is mathematically represented as

      [tex]Z = M + N[/tex]

=>   [tex]Z = 60 + 20[/tex]

=>   [tex]Z = 80[/tex]

Answer: 8.36 a.m

Step-by-step explanation:

To solve this, first we need to calculate the lowest common multiple of 9 and 12.

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120.

Here, the lowest common multiple = 36

Therefore, we will add 8.00am plus 36 minutes. This will be:

= 8:00 a.m + 36 minutes

= 8.36 am

The time that the basic bowl and the gigantic bowl are first produced together is 8.36 am.

To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.

To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.

The similarities is that we end up with -23 on the right side, but the inequality signs are different.

Answer: 96

Step-by-step explanation: