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Serga [27]
3 years ago
9

Dimitri deposited 60% of his paycheck into a savings account be deposited $41.67 what was the total of his check

Mathematics
1 answer:
Ket [755]3 years ago
5 0
The amount of his paycheck is $69.45.
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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

7 0
3 years ago
There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. How many different ways can yo
Charra [1.4K]

Answer:

  120

Step-by-step explanation:

If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...

  720/6 = 120 different combinations of roller coasters

_____

This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...

  nCk = n!/(k!(n-k)!)

  10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120

4 0
3 years ago
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What does it mean to live on campus?
Vladimir [108]
To live on campus is when you have almost like a hotel room but you may share it and it is linked to you school
4 0
2 years ago
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Please answer this question. Your explanation does not need to have that much effort put into it. This is a 10 point question.
Elis [28]

Answer:

B and C

Step-by-step explanation:

3 2/5 times 7 = 23 4/5

3 2/5 times 10 = 34

The rest of the answers are incorrect

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2 years ago
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33. The number of batches of cookies that can be made in a bakery every hour is shown in the graph.
MAVERICK [17]
The equation of this line in slope intercept form is y= 3/7x

4 0
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