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drek231 [11]
3 years ago
7

6.27 × 107 + 5.81 × 109 = ____ × 10^--- HELP

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

5.87× 10⁹

Step-by-step explanation:

We need to find the value of 6.27 × 10⁷ + 5.81 × 10⁹.

It can be done as follows:

6.27 × 10⁷ + 5.81 × 10⁹ = (6.27 × 10⁷ × 10² × 10⁻²+ 5.81 × 10⁹)

=(6.27 × 10⁹ × 10⁻²+ 5.81 × 10⁹)

= (0.0627× 10⁹ + 5.81 × 10⁹)

= 5.87× 10⁹

So, the required answer is 5.87× 10⁹.

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The ratio of sugar to flour in the recipe is 1 to
Sveta_85 [38]

Answer:

10 flour

Step-by-step explanation:

          1:2

         5:x     all you have to do is multiply by 2, sense the ratio is 1:2, flour will always be 2 times greater than sugar. so the answer is 5 x 2 =10

5 0
3 years ago
21. The equation x² + y² - 6x + 8y = 74<br> represents circle C.<br> What is the radius of circle C?
marin [14]

Answer:

The radius is 3\sqrt{11}.

Step-by-step explanation:

The standard equation for a circle is (x-h)^2+(y-k)^2=r^2.

I like to call this form center-radius form because it tells you the center (h,k) and the radius r.  

So we put it in this form to determine r, the radius, which is the desired value here.

We will need to complete the square.

Thankfully there is a formula to take more thinking out of the process:

x^2+dx+(\frac{d}{2})^2=(x+\frac{d}{2})^2.

Let's begin:

x^2+y^2-6x+8y=74

Reorganize the equation so the x's are together and the y's are together.

x^2-6x+y^2+8y=74

Now time to being completing the square. Keep in mind whatever you add to one side you need to add the other side to keep the equation equivalent to what it once was.

x^2-6x+(\frac{-6}{2})^2+y^2+8y+(\frac{8}{2})^2=74+(\frac{-6}{2})^2+(\frac{8}{2})^2

Use the other side of the formula I mentioned for completing the square:

(x+\frac{-6}{2})^2+(y+\frac{8}{2})^2=74+(-3)^2+(4)^2

(x-3)^2+(y+4)^2=74+9+16

(x-3)^2+(y+4)^2=74+25

(x-3)^2+(y+4)^2=99

So the center is (3,-4).

The radius is \sqrt{99}.

You can actually simplify the radius since 99 contains a factor that is a perfect square.

\sqrt{99}=\sqrt{9}\sqrt{11}=3\sqrt{11}

7 0
4 years ago
Read 2 more answers
Maya is deciding between two different movie streaming sites to subscribe to. Plan A
Effectus [21]

Answer:

36 movies.

Step-by-step explanation:

45

+

2.50

x

=

3.75

x

Here

x

=

NUMBER OF MOVIES

45

=

Annual rate

2.50

=

price of movie with annual fee

3.75

=

price of movie with no fee

Now we solve for

x

. Move

x

to one side by subtracting

2.50

x

on each side

45

=

1.25

x

We want

x

by itself, so divide

45

by each side.

45

1.25

=

x

x

=

36

4 0
3 years ago
The equation of a circle is ​ (x+7)2+(y−13)2=196 ​ . <br><br> What is the center of the circle?
Anit [1.1K]
X=104 -y. Hope this helps you


7 0
3 years ago
Read 2 more answers
ANSWER QUICKLY!!!!!
Delicious77 [7]
First, solve for the missing side of the triangle:
a^2+b^2=c^2
100+b^2=144
b^2=44
b=6.63
15-6.63=8.37
8.37*10=83.7
The area of the parallelogram is (1/2(6.63*10))+ (1/2(6.63*10))+83.7
66.3+83.7
The area of the shape is 150 ft^2

6 0
4 years ago
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