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2 years ago

There was one half of a pizza left. It was divided equally amongst 3 kids. What fraction of the pizza did each kid get?

Mathematics

1 answer:

alukav5142 [94]2 years ago

6 0

Answer:

one-sixth

multiply the numerator (2) by the number of kids (3) because you are accounting for the fraction of the whole pizza. By doing this you should get 3/6. divide the denominator by the number of kids (3/3) getting you to a value of 1, and replace the denominator, making the amount of pizza one-sixth.

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URGENT PLEASE ANSWER THIS MATH QUESTION

Roman55 [17]

Answer:

10.7

Step-by-step explanation:

You set up the proportion like this:

$\frac{x}{8} =\frac{4}{3}$

When you solve for x you get

$x=\frac{32}{3}=10.66666667$

x=10.7 rounded to the nearest tenth

6 0

2 years ago

Calculus 2 Master needed, evaluate the indefinite integral of: <img src="https://tex.z-dn.net/?f=%5Cint%5C%28%20%28lnx%29%5E2%7D

viva [34]

Answer:

$\int (\ln(x))^2dx=x(\ln(x)^2-2\ln(x)+2)+C$

Step-by-step explanation:

So we have the indefinite integral:

$\int (\ln(x))^2dx$

This is the same thing as:

$=\int 1\cdot (\ln(x))^2dx$

So, let's do integration by parts.

Let u be (ln(x))². And let dv be (1)dx. Therefore:

$u=(\ln(x))^2\\\text{Find du. Use the chain rule.}\\\frac{du}{dx}=2(\ln(x))\cdot\frac{1}{x}$

Simplify:

$du=\frac{2\ln(x)}{x}dx$

And:

$dv=(1)dx\\v=x$

Therefore:

$\int (\ln(x))^2dx=x\ln(x)^2-\int(x)(\frac{2\ln(x)}{x})dx$

The x cancel:

$=x\ln(x)^2-\int2\ln(x)dx$

Move the 2 to the front:

$=x\ln(x)^2-2\int\ln(x)dx$

(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)

Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:

$=x\ln(x)^2-2\int 1\cdot\ln(x)dx$

Let u be ln(x) and let dv be (1)dx. Thus:

$u=\ln(x)\\du=\frac{1}{x}dx$

And:

$dv=(1)dx\\v=x$

So:

$=x\ln(x)^2-2(x\ln(x)-\int (x)\frac{1}{x}dx)$

Simplify the integral:

$=x\ln(x)^2-2(x\ln(x)-\int (1)dx)$

Evaluate:

$=x\ln(x)^2-2(x\ln(x)-x)$

Now, we just have to simplify :)

Distribute the -2:

$=x\ln(x)^2-2x\ln(x)+2x$

And if preferred, we can factor out a x:

$=x(\ln(x)^2-2\ln(x)+2)$

And, of course, don't forget about the constant of integration!

$=x(\ln(x)^2-2\ln(x)+2)+C$

And we are done :)

8 0

2 years ago

50 POINTS!!!!!<br> Consider the picture below. Find the measure of ∠A

True [87]

Answer:

103°

Step-by-step explanation:

∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.

Vertically opposite angles are angles that form when two lines intersect

From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning

∠CEA=∠DEB and ∠CED=∠AEB

Replacing ∠CED=∠AEB, we get

(14x+7)°=(12x+17)°

Solve for x

(14x-12x)=17-7

2x=10

x=10÷2=5

value for x in ∠CED=∠AEB, we get (14×5)+7=77°

To calculate ∠CEA and ∠DEB

Let ∠CEA=∠DEB=y

∠DEA=180°since its a straight line therefor

(14x+7)°+y=180°

77+y=180

y=∠CEA=∠DEB=103°

4 0

2 years ago

Which of the following is the converse of the statement “if it is my birthday, then it is September”

ra1l [238]

Answer:

The converse statement is "If its is September then it is my birthday"

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Team A has 42 members. Team B has 18 more members than Team A. What percent of the members from Team B must be transferred to Te

Cerrena [4.2K]

Answer:

15 %

Step-by-step explanation:

42 = members of team A

60 = members of team B

Let x = percent of members transferred

0.01x × 60 = 0.6x = no of members transferred

60 - 0.6x = 42 + 0.6x

60 = 42 + 1.2x

18 = 1.2x

x = 15

15 % of the members on Team B must be transferred to Team A.

Check:

60 - 0.6 × 15 = 42 + 0.6 × 15

60 - 9 = 42 + 9

51 = 51

OK.

3 0

3 years ago