Which conclusion does the diagram support?

Some one please click on my profile and answer my two questions they are about circles than you

LekaFEV [45]

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7 0

3 years ago

Read 2 more answers

I NEED ANSWER TO ALL PARTS ASAP! PLEASE!

Contact [7]

Part A) First, you need to find out how much she makes each hour.40/5 = 8 & 48/6 = 8 ... This shows that she makes $8 an hour

To find the first missing number, you will do 8 * 8 = 64 ... This shows that she makes $64 in 8 hours.

To find the second missing number, you will do 56/8 = 7 ... This shows that she makes $56 in 7 hours.

Part B) Barb makes $9 every hour. To find the amount of money she earns for 5, 6, and 8 hours of work you will need to multiply $9 by the amount of hours she worked.

9 * 5 = 45 ... This shows that she makes $45 in 5 hours.

9 * 6 = 54 ... This shows that she makes $54 in 6 hours.

9 * 8 = 72 ... This shows that she makes $72 in 8 hours.

Part C) In part B, you found out how much she makes after working at the theme park for 5 hours. ($45 in 5 hours)

Next, you'll need to find out how much she makes after mowing lawns for 5 hours.
5*8 = $40 ... This shows that she makes $40 in 8 hours

Now you need to the difference. 45 - 40 = 5 ... She makes 5 more dollars working at the theme park for 5 hours than mowing lawns for 5 hours.

6 0

4 years ago

Find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)

Inga [223]

Part (i)

<h3>Answer: x^2 + 5x + 6</h3>

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

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

Part (ii)

<h3>Answer: 4x^2 - 16x + 7</h3>

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

4x^2
-14x
-2x
7

The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

8 0

3 years ago

Please help!!!<br> Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Elza [17]

$\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}$

$\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{3^4(m^{-1})^4(n^2)^4}{2^3(m^{-2})^3n^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}\\\\=10.125m^{-4-(-6)}n^{8-3}=10.125m^2n^5$

7 0

3 years ago

Read 2 more answers

20% of 57 is what number ?<br> The proportion is ?

Elanso [62]

Answer:

11.4

20/100 = x/57

Step-by-step explanation:

It is perhaps simplest just to translate the given English sentence into a mathematical sentence.

... 20% ... ... of ... 57 ... is ... what number

... 20/100 ... × ... 57 .... = ... what number . . . . . . . . translation to math sentence

... 11.4 = what number . . . . . . . . carry out the multiplication

_____

If you're asked to write this as a proportion, you can write it like this:

$\dfrac{20}{100}=\dfrac{\text{what number}}{57}$

You can solve this proportion by multiplying by 57 (the denominator under "what number"). Doing so gives you the same arithmetic sentence as shown above.

6 0

3 years ago