Stephen paid $340 for a $320 sofa. The extra amount was for tax. What was the percentage of tax for the sofa?

1 answer:

3 0

340-320 means 20 dollars for tax. Next we need to figure out what percent of 320 is 20 so we do 20/320 = .0625 so its 6.25% for tax... to check the problem do 320 x .0625 and it equals 20.

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The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?

Sliva [168]

Answer:

$\huge{ \boxed{ \bold{g = - 2}}}$

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

$m = \frac{y_2 -y_ 1}{x_2 -x_1 } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

$\frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2$

We have the final answer as

Hope this helps you

7 0

1 year ago

Is (11,9), (11,5), (9,3) a function

Marina86 [1]

Answer:

$\huge{ \boxed{ \sf{No}}}$

✑ Question :

Is ( 11 , 9 ) , ( 11 , 5 ) , ( 9 , 3 ) a function ?

No , it's not a function.

✎ Reason :

This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.

♨ Explore about function :

↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.

Hope I helped!

Have a wonderful day ! ツ

~ $\sf{TheAnimeGirl}$ ♡