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mestny [16]
3 years ago
6

Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays

her $15.00 per hour. Her cashier job pays her $9.25 per hour. In one week, Kersha worked 65 hours. She earned a total of $8.02.50
How many hours did Kersha work in each job?
Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0
Use a number line to help, or a tape diagram.
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A straight line, L, is perpendicular to the straight line y=2x-1 and passes through the point (8,1). Find an equation of L
luda_lava [24]
Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.

Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)

Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.

y = mx + b
y = -1/2x + b

Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.

\boxed{y=-\frac{1}2x+5}
7 0
3 years ago
BillieÍs monthly cell phone bill includes the cost of cell phone service, 15% tax on the cost of the cell phone service, and a $
dem82 [27]
X - <span>the cost of cell phone service before tax is added

</span>x+15\%x+9.25=61&#10;\\x+ 0.15x=61-9.25&#10;\\1.15x=51.75&#10;\\x= \frac{51.75}{1.15}&#10;\\x= 45<span>
</span>
6 0
3 years ago
If sally saves 18% of the money she has earned ($200) how much money does she have left?
Vikentia [17]

Answer:

164$

Step-by-step explanation:

18 percent of 200 is 36.

so subtract the 36 from 200 and get 164

6 0
3 years ago
You are a real estate agent with ABC Real Estate company. You help sell a home for $155,000. The total commission is 6.5%. Your
gtnhenbr [62]

Answer:

$3,929.25.

Step-by-step explanation:

First, calculate the total commission.  That's found by multiplying the selling price ($155,000) by 0.065.  The result:  The total commission is $10,075.

Your company receives 60% of that.  So we multiply $10,075 by 0.60, obtaining $6,045.

Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:

0.65($6,045) = $3,929.25.

Your personal share of the commission is thus $3,929.25.

4 0
3 years ago
Is (1, 2) a solution to the inequality 6x - y&gt; 3?
Lostsunrise [7]

Answer:

<u><em>Yes.</em></u>

Step-by-step explanation:

<em>To find the answer we will put it into the equation, since</em><em><u> x = 1 and y = 2</u></em><em> we will write it like this, </em><u><em>6(1) - 2 > 3.</em></u><em>  Since </em><u><em>6 x 1 = 6</em></u><em>, we will now </em><u><em>subtract 6 from 2 which equals 4</em></u><em>.  Therefore, the equation is </em><u><em>correct because 4 is bigger than 3.</em></u>

5 0
3 years ago
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