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3 years ago

9

ms shah grades 3402 math problems during 5th period this is 54% of the total number of problems she need to grade what is the to

tal number of problems she needs to grade

1 answer:

olga_2 [115]3 years ago

6 0

The total number of problems she needs to grade is 6.

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I have to find the circumference of 15 cm

Pie

Answer:

r = 2.39 and C=2πr=2·π·2.39≈14.99997

Step-by-step explanation:

Using the formula

C=2πr

Solving for r=C 2π=15

2·π≈2.38732

and then u round up the 7 told the 8 to go up.

2.39

7 0

3 years ago

Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4

steposvetlana [31]

$f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}$

$\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}$

6 0

3 years ago

Read 2 more answers

If y = 8 cm, what is the area of the blue section of this shape?

Ivahew [28]

Answer:

56 cm squared

Step-by-step explanation:

First things first: Cop one triangle off the rectangle, and attach it to the other one, so the shape looks like a L

Now I can actually solve this:

The left side is 8 cm (because y = 8 cm)

The top is 10 cm

The middle is 6 cm

The inside left is 3 cm

And the very bottom is 2 cm

First, we'll solve for the newly constructed rectangle: 3 x 2. That equals 6.

Next, solve for the longer rectangle: 10 x 5. That's 50.

Now, add the two areas, and we get 56. So the area of the whole thing is 56 cm squared.

(Please keep in mind that I could be wrong, so double check it for me, thanks!)

7 0

2 years ago

Sandra is making the shape of a rhombus. The first three angles are 75°, 75°, and 105°. What is the measure of the fourth angle?

mrs_skeptik [129]

Its 105° because the rhombus is essentially a square or rectangle of sorts and at least 2 sides have to be alike

3 0

3 years ago

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Write in standard form: 800,000 + 70,000 + 400 + 6

Alex73 [517]

Answer:

870,406

Step-by-step explanation:

6 0

3 years ago

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