What is 7.86 x 10 to the negative 2nd power kL in dL?

Answers

Answer 1

Answer: So a kiloliter (kL) is 1000 liters, while a deciliter (dL) is 0.1 liters.

You have 0.0786kL, or 78.6L.

78.6L is equal to 786dL.

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The weekly sales of a magazine increased from 500,000 to 600,000. By what percentage did the magazine sales increase?

Answers

$600,000-500,000=100,000\n\n(100,000)/(500,000)\cdot100\%=(1)/(5)\cdot100\%=20\%\leftarrow solution$

Solve the following system of equations by the substitution method.8x = 2y + 5

3x = y + 7

What is the solution set?

{(-41/2, -9/2)}
{(-9/2, -41/2)}
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Answers

8x = 2y + 5
3x = y + 7

We will use the second equation to substitute in the first one. Here's how to do it:
3x = y + 7
y = 3x - 7 (now substitute this in the first equation)

8x = 2y + 5
8x = 2(3x - 7) + 5
8x = 6x - 14 + 5
8x = 6x - 9
6x - 9 = 8x
6x - 8x = 9
-2x = 9
x = -9/2 (this is the first coordinate, now we need to find y)

We use the second equation again:
3x = y + 7
y + 7 = 3x
y + 7 = 3(-9/2)
y + 7 = -27/2
y = -27/2 - 7
y = -27/2 - 14/2
y = -41/2 (this is the second coordinate)

This means that the solution set is the second option: {(-9/2, -41/2)}

Answer:

{(-9/2, -41/2)}

Step-by-step explanation:

What is 121.06 in expanded form

Answers

$121.06=100+20+1+0.06\n\n=1\cdot10^2+2\cdot10^1+1\cdot10^0+0\cdot10^(-1)+6\cdot10^(-2)$

hey sales person sells $2900 and merchandise and earns a commission of 522 what is the commission rate?

Answers

Answer: 18%

Step-by-step explanation: To find the commission rate, we can divide the commission earned by the total merchandise sold.

Given:

Total merchandise sold = $2900

Commission earned = $522

To calculate the commission rate:

Commission rate = (Commission earned / Total merchandise sold) * 100%

Substituting the given values into the formula:

Commission rate = (522 / 2900) * 100%

Calculating the commission rate:

Commission rate = 0.18 * 100% = 18%

Therefore, the commission rate for this salesperson is 18%.

A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?

Answers

x - 3pt baskets (he reaches 3x points)
y - 2pt baskets (he reaches 2y points)

We know, that y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points: 96

3x + 2y = 96. Substitute to "y" an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10 |:5
x=2

So y=x+43=2+43=45

He has made 2 three points baskets and 45 two points baskets

For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?

Answers

Answer:

At x= 5 the value of both function are equal.

Step-by-step explanation:

Given that two function f(x) and g(x)

And at x=5

f(x)=g(x)

It means when we put x=5 in the function f(x) then we get some value and when we put x= 5 in the function g(x) then we get the same value .

Hence , the value of both function at x=5 are equal and we can say that both function intersect at the point (5,0).For example,

Let we take f(x)=x-5

and g(x)=5-x

Put x=5 in the function f(x) then we get

f(x)=5-5=0

Now we put x=5 in the function g(x) then we get

g(x)=5-5=0

Hence, we get same value for both function .

When x = 5 then the function f(x) and g(x) are equal so when you insert 5 into the two functions, you will get the same answers for both of the functions.

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