You get a $600 bonus from work and want to share with your two kids. How much money will each of the three of you get if you split it evenly?

Answers

Answer 1

Answer:

$200 each.

Step-by-step explanation:

You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:

$600/3 persons = $200/person

Each person obtains $200.

~


Related Questions

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.

Answers

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

What is the following quotient?

Answers

Answer:

First option is the correct answer.

[tex] \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]

Step-by-step explanation:

[tex] \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]

Look below. (Will give Brainliest)

Answers

Answer:

A.

[tex] < 6 = 180 - 72 \\ = 108 \degree[/tex]

E.

[tex] < 5 = 72 \degree \\ (alternate \: angles)[/tex]

Answer:

The correct answers are

E. m< 5= 72

B. <2 = m<7

A. <6 = 108

Step-by-step explanation:

E is correct because B and C are parallel meaning that 5 and 72 are alternate interior angles.

B is correct because they are alternate exterior angles

A is correct because 180 - 72 = 108

Hope this helped

A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.

Answers

Answer:

x =  150 ft

y  =   y  =  150 / 17 ft

Step-by-step explanation:

Area of the field is    A  =  x*y

Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing  x into 33 rectangles ( using 34 sides of length  y ) then the quantity of fence is:

p  =  2*x  +  34*y   ⇒   600  =  2*x  +  34*y        y  =  ( 600 - 2*x)/34

A = x*y

A (x)  =  x*  ( 600 - 2*x)/34

A (x)  = ( 600*x  - 2*x²)/34

Taking derivatives on both sides of the equation:

A´(x)  = (1/34)* ( 600 - 4*x )

A´(x)  =  0       (1/34)* ( 600 - 4*x ) = 0      600  -  4*x  = 0

x  =  600/4

x = 150 feet

And  y  =  (1/34)( 600 -  2*150)

y  =  300/34    y  =  150 / 17 ft

y  =  8.82 ft

How do we know that is a maximum area, we find the second derivative of A

A´´(x)   =    - 4/34      then  A´´(x) < 0

We get a maximum of function A for the value  x = 150

Given that angle ABC=70° and that angle BCD=110°. Is it possible (consider all cases) that Line AB intersects line CD ?

Answers

Answer:

yes.

Step-by-step explanation:

#CarryOnLearning

You collect the following data for explanatory variable A and response variable B:

A(x) B(y)
1 14.2
2 14.9
3 15.5
4 16.8
5 17.8
6 18.9
7 20.1
8 20.9
9 21.5
10 22

You calculate the following summary statistics: x-bar = 5.5, s subscript x = 3.03, y-bar = 18.26, s subscript y = 2.85, and r = .995.

Required:
What's the critical t value you'd use for a 95% confidence interval for the slope of this regression line?

Answers

Answer:

v

Step-by-step explanation:

graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]

Answers

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

What are the steps in finding the average height? Plz help ty :>

(Problem-solving questions- Calculating the average height of all the children in your class)

Answers

Answer: add all the heights and divide by number of children.

Step-by-step explanation: add all heights and divide by number of children

Graph this following equation y=2x+3

Answers

Answer:

Step-by-step explanation:

Use Desmos, really helpful!

Answer:

Look at the images.

Gregorio made 25 quart of hot chocolate. Each mug holds 1/10 quart. How many
mugs are used for the hot chocolate?

Answers

Answer:

4 mugs of hot chocolate

Step-by-step explanation:

So, we must find out how many mugs of hot chocolate we can make.  

Then we set up a ratio of amount of chocolate to mugs such as  

(2/5) / (1/10) = (2/5)(10/1) = 20/5 = 4 mugs of hot chocolate

Hope this answer helps you :)

Have a great day

Mark brainliest

Simplify the expression 2(4x – 2) + x if x = 6.

Answers

Answer:

44

Step-by-step explanation:

2(4x-2)

2(4(6)-2)

2(24-2)

2(22)

44

Hope this helps! :)

Answer and Step-by-step explanation:

Simply plug 6 in for x.

2(4(6) - 2) + 6

Multiply 4 by  6.

2(24 - 2) + 6

Subtract 2 from 24.

2(22) + 6

Multiply 22 by 2.

44 + 6

Add.

50

The answer is 50.

#teamtrees #PAW (Plant And Water)

Please help meeeeeee!!​

Answers

Since m is parallel to n, the angle opposite to 4x-23 will be 2x+17. These are vertical angles, meaning they’re the same.
4x-23=2x+17
2x=40
x=20
Problem:-

Find x so that m || n. Show your work.

Solution:-

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

========================

#Hope it helps!

(ノ^_^)ノ

A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?

Answers

The price decreases by $288,000*(0.19)=$54,720

The current value is then $233,280.

Find the area of the kite with diagonals a= 12 and b=9

A) 30
B) 72
C) 54
D) 108

Answers

maybe 108 is the answer.

Mark Brainliest please

Answer :

A=pq/2=12*9/2=54

A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)​

Answers

9514 1404 393

Answer:

  30

Step-by-step explanation:

The sequence of square counts is ...

  170, 156, 142, 128

The differences from one row to the next are ...

  -14, -14, -14

We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...

  an = a1 +d(n -1) . . . . . . for first term a1 and common difference d

  an = 170 -14(n -1)

For n=11, the number of squares is ...

  a11 = 170 -14(11 -1) = 30

There will be 30 squares in the 11th row.

Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?

Answers

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

Rewrite each of the following statements in the form "∀ _____ x, _____."
(a) All dinosaurs are extinct. ∀ ---Select--- x, ---Select--- .
(b) Every real number is positive, negative, or zero. ∀ ---Select--- x, ---Select--- .
(c) No irrational numbers are integers. ∀ ---Select--- x, ---Select--- .
(d) No logicians are lazy. ∀ ---Select--- x, ---Select--- .
(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ ---Select--- x, ---Select--- .
(f) The number −1 is not equal to the square of any real number.

Answers

Answer:

The rewritten statements is as follows:

(a) ∀ dinosaur x, x is extinct.

(b) ∀ real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.

(c) ∀ irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].

(d) ∀ logician x, x is not lazy.

(e) ∀ integer x, [tex]x^2 \ne 2,147,581,953[/tex]

(f)  ∀ real number x, [tex]x^2 \ne -1[/tex]

Step-by-step explanation:

As a general rule, words like "all", "every", "the", etc. are represented with ∀.

However, some sentences may be need to rephrased before such sentence can be rephrased

So, the following replacement will be made:

(a)

[tex]All \to[/tex]

[tex]dinosaurs \to x[/tex]

(b)

[tex]Every \to[/tex] ∀

[tex]real\ number \to x[/tex]

(c)

First, we need to rephrase this sentence to:

Every irrational number is not integer

So, the replacement is:

[tex]Every \to[/tex] ∀

[tex]irrational\ number \to x[/tex]

(d)

First, we need to rephrase this sentence to:

Every logician is lazy

So, the replacement is:

[tex]Every \to[/tex] ∀

[tex]lazy \to x[/tex]

(e)

First, we need to rephrase this sentence to:

The integer 2,147,581,953...............

So, the replacement is:

[tex]The \to[/tex]

[tex]Integer \to x[/tex]

(f)  

Replace:

[tex]The \to[/tex]

[tex]-1 \to x^2[/tex]

How many 1/3 servings are in 36 servings?

Answers

Answer:

108

Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108

Answer:

108 of 1/3 servings are in 36 servings.

Step-by-step explanation:

3/1 multiples 3 become 1.

1 multiple 36 and equal 36,

so,3 multiple 36.

3×36=108

Find the value of x for which the lines p and q are parallel.

Answers

Answer:

D

Step-by-step explanation:

have a good day

Answer:

D) 7

Step-by-step explanation:

Since the two angles marked are corresponding, if [tex]p[/tex] and [tex]q[/tex] are parallel, they must be equal.

Therefore, we have:

[tex]14x+18=116,\\14x=98,\\x=\boxed{7}[/tex]

Wut is (2/2 x 23.34)^3?
X means times, not varible

Answers

Answer:

12714.595704

Step-by-step explanation:

(2/2 x 23.34)^3

(1 x 23.34)^3

23.34^3

=12714.595704

help pls ? heusnwkq bsjnsjjw​

Answers

Answer : A ; 4

Explanation : Domain is the x-value

Fraction with a  Denominator of 60 that is equivalent to 2/3

Answers

Answer:

40

Step-by-step explanation:

you have to find the multiplier that gets 3 to equal 60, that would be 20

therefore, you then multiply the numerator by 20 also and get 40

pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answers

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Calculation of the distance:

Here we assume the distance between A and B should be x.

Now the y value should be

[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]

y = 8808.84 ft

Now, we can find x

[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

Learn more about distance here: https://brainly.com/question/785292

find integral∫cos³x dx) )?​

Answers

Answer:

sin(x)−1/3(sin3(x))+C

Step-by-step explanation:

use u substitution method to integrate

cos³(x) = cos(x) cos²(x)

… = cos(x) (1 - sin²(x))

Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get

∫ cos³(x) dx = ∫ (1 - u ²) du

… = u - 1/3 u ³ + C

… = sin(x) - 1/3 sin³(x) + C

Find the perimeter of the triangle whose vertices are the following specified (0,3), (-10,-4) (-9,-7) points in the plane.

Answers

Answer:

The perimeter of the triangle is 28.82

Step-by-step explanation:

Please check the image uploaded for the diagram.

Perimeter = d₁ + d₂ + d₃

[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]

Urgent
Please help!
Factorise

Answers

Answer:

a.

x²+3x-4

doing middle term factorization

x²+(4-1)x-4

x²+4x-x-4

x(x+4)-1(x+4)

( x+4)(x-1)

b.

x²-2x-3

x²-3x-x-3

x(x-3)-1(x-3)

(x-3)(x-1)

c.

x²+2x-8

x²+4x-2x-8

x(x+4)-2(x+4)

(x+4)(x-2)

a) (x-1) (x+4)
b) (x-3)(x+1)
c) (x-2) (x+4)

Mrs. Smith blinks about 450 times in 30 minutes. Samaira
blinks about 150 times in 15 minutes. How many more
times does Mrs. Smith blink per minute than Samaira?

Answers

Answer:

15 more times per minute

Step-by-step explanation:

Help me please with this question

Answers

9514 1404 393

Answer:

  c.  3 to 4

Step-by-step explanation:

There are 3 oranges and 4 apples in the bowl, so the ratio is ...

  oranges/apples = 3/4 or 3 to 4

Help please this question is so hard!

Answers

So to solve this first you need to convert all the answers to decimals.
Site B 17/9 = 1.89 when you round up
Site D 4/3 = .75
Then look at all the numbers least to greatest.
D .75 m C 1.36 m A 1.60 m B 1.89 m
Answer D, C, A, B

Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number

Answers

Answer:

1. Term.

2. Common difference.

3. Arithmetic sequence.

4. Sequence.

Step-by-step explanation:

1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.

2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).

3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.

4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.

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