Compare 8 ⋅ 107 to 2 ⋅ 104choice of answers are:
A) 8 ⋅ 107 is 4,000 times larger than 2 ⋅ 104.
B) 8 ⋅ 107 is 400 times larger than 2 ⋅ 104
C) 8 ⋅ 107 is 40 times larger than 2 ⋅ 104.
 D)8 ⋅ 107 is 4 times larger than 2 ⋅ 104.

Step-by-step explanation:

as I can see this the answer is

x = 25/78

in decimal

x = 0.320

Final answer:

The problem involves joint variation with variables y, x, and z. After finding the constant of variation, we substitute the given values into the joint variation equation and determine that x = 16.67

Explanation:

First, we establish the equation of joint variation, which in this context is y = kxz, where 'k' is the constant of variation. When y=13, x=26, and z=6, we insert these values into the equation to solve for 'k'. This gives us k = y/(xz) = 13/(26*6) = 0.08333.

Now that we have the constant 'k', we can find the value of 'x' when y=25 and z=18. We rearrange our equation to solve for 'x', resulting in x = y/(kz). Substituting the known values, we get x = 25/(0.08333*18) = 25/1.5 = 16.67. Therefore, if y varies jointly with x and z, and y=25 when z=18, then x = 16.67.

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Answer:

The correct answer is first option (-5, 5)

Step-by-step explanation:

It is given that,

3x - 4y = -35 and 3x + 4y = 5

To find the solution

Let, 3x - 4y = -35   ------- (1)

      3x + 4y = 5    --------(2)

Eq(1) + (2) ⇒

6x = -35 + 5  = -30

x = -30/6 = -5

ex(1) ⇒  3x - 4y = -35  

3 *-5  - 4y = -35

-15 - 4y = -35

4y = -15 + 35 = 20

y = 20/4 = 5

Therefore x = -5 and y = 5

The correct answer is first option (-5, 5)

Answer:

x = 9/32

Step-by-step explanation:

I believe you may have meant -6 equals, so here is how I did it

-6 = 8(-8x-3)

-6 = 64x - 24

64x = 18

x = 9/32

The value 78 is 12 times of number 6.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In orderto determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

12 times what equals 78

let the number whose 12 times equals 78 be x then

12 x = 78

Divide both side by 12

12x /12 = 78/ 12

x = 6

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