A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27

Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:

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

[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]

Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.

Answer:

r=168

Step-by-step explanation:

Answer:I tnink its 21 sorry if wrong

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

hope it helps

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3

hope I helped.

Answer:

0.01

Step-by-step explanation:

Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.

Average volume of water 10.03ml.

Standard deviation is 0.0001 + 0.0001

Standard deviation is [tex]\sqrt{0.0002}[/tex]  = 0.01.

Answer:

7/18

Step-by-step explanation:

Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.

Anthony had eaten an (11/18) fraction of pizza in all.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.

We are asked to find how much of the pizza has he eaten in all.

Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.

or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,

or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,

or, Total pizza Anthony had = {11/18}th fraction of pizza.

Therefore, Anthony had eaten an (11/18) fraction of pizza in all.

Learn more about fractions at

brainly.com/question/11562149

#SPJ2

Huh? Is yo question finished

Answer: 75/7

Step-by-step explanation:

Concept:

Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.

Solve:

1 7/8= 15/8

 1 7/8 × 10/7 × 4

=15/8 × 10/7 × 4

=150/56 × 4

=600/56

Answer:

A

Step-by-step explanation:

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (10, 0) = (x_1, y_1) [/tex]

[tex] (16, 8) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]

[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]

[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Length of fencing = 6 + 8 + 10 = 24 m

Answer:

E

Step-by-step explanation:

is the answer

Answer:

it's -11

Step-by-step explanation:

hope this helped

Answer:

-11

Step-by-step explanation:

Problem: 4-9+(-6)

First: 4-9

Second: -5+(-6)

Answer: -11

Answer:

Step-by-step explanation:

Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Now:  905, 945, 970, 995 , 1015, 1030 , 1040 , 1124

a) Median stays same.

As number of data's is 8, median is the average of 4th and 5th term

Median = (995 + 1015)/2 = 2010/2  =

Median = 1005

When rent changes from $545 to $ 905, the 4th and 5th term remains same.

So, median stays same

b) Mean increases 45

Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Mean = Sum of rents ÷ 8

= (545 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8

=7664/8

= 958

Now : 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Mean = (905 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8

         = 8024/8

         = 1003

Mean increases by 1003 - 958 = 45

Answer:

6=a23

8=a35

2=a32

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

we have the point

[tex](2,-4)[/tex]

so when

x=2

y=4

so we can try on all equations

[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]

so equation 1 could be

[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]

so equation 2 could be

[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]

so equation 3 is not

[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]

so equation 4 is not

So another point that we have is

[tex](0,-3)[/tex]

so we plug in

[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]

so this isn't

[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]

so the answer is b

Answer:

$66.6

Step-by-step explanation:

Given that,

The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full  amount due on the bill.

We need to find 20% of $333 as follows :

[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]

Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (1, -2)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 4: Write parallel linear equation

y = 3x - 5

Answer:

Step-by-step explanation:

(5 - 2i)^2

25 - 10i - 10i + 4I^2

25 -20i - 4

21 - 20i

Answer:

400,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x =\frac{4-k}{6}[/tex]

Cross Multiply

[tex]x \times 6 = (4-k)\times 1\\\\6x = 4-k[/tex]

Isolate k

[tex]6x -4 =-k[/tex]

Divide through by -1

[tex]\frac{6x}{-1} -\frac{-4}{-1} = \frac{-k}{-1}\\ \\-6x+4 =k\\\\k =-6x+4[/tex]

Answer:

143.75

Step-by-step explanation:

idk man use google or something