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riadik2000 [5.3K]
2 years ago
9

Steven has a small business that provides computer application training and data entry support services. He earns $25 per hour f

or training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wants to use linear programming techniques to optimize his income.
Mathematics
1 answer:
zlopas [31]2 years ago
5 0

Answer:

Step-by-step explanation:

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1 3/7 x 2 3/4<br> fraction plz
maksim [4K]

Answer:

\frac{55}{14}

Step-by-step explanation:

First, we convert the mixed numbers into improper fractions: 1\frac{3}{7} =\frac{10}{7}, and 2\frac{3}{4}=\frac{11}{4}. Now, we multiply the fraction using the multiplication rule, \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}: \frac{10}{7} \times \frac{11}{4} = \frac{110}{28} = \frac{55}{14}.

Thus, the product of the two given fractions is 55/14.

7 0
2 years ago
Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible
Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

pq =    \sqrt{( {x2 - x1)}^{2}  + ( {y2 - y1)}^{2} }

or \:  \sqrt{( {5  + 3)}^{2} + ( {2 - 2)}^{2}  }

By simplifying it we get,

8

Now,

again finding the distance between PR,

pr = \sqrt{( {x2 - x1}^{2}  + ( {y2 - y1)}^{2} }

or,

\sqrt{( {x + 3)}^{2}  + ( {y - 2)}^{2} }

By simplifying it we get,

=  \sqrt{ {x}^{2} +  {y}^{2} + 6x  -  4y + 13  }

now, finding the distance of QR,

qr =  \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2}  }

or, by simplification we get,

\sqrt{ {x}^{2} +  {y}^{2}  - 10x - 4y + 29 }

now, equating PR and QR,

\sqrt{ {x}^{2} +  {y}^{2}  + 6x  -  4y  + 13}  =  \sqrt{ {x}^{2}  +  {y}^{2} - 10x - 4y + 29 }

we cancelled the root ,

{x}^{2} +  {y}^{2} + 6x - 4y + 13 =  {x}^{2}   +  {y}^{2}   -10x - 4y + 29

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

\sqrt{ {x}^{2} +  {y}^{2}  + 6x - 4y + 13 }  =  8}

cancel the roots,

{x}^{2} +  {y}^{2}   + 6x - 4y + 13  = 8

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

<em>Hope it helps</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
In rectangle KLMN, KM =6x +16 and LN =49. Find the value of X
wolverine [178]
The answer is 5.5

In a rectangle, lengths of diagonals are equal. If you draw the rectangle, you can see that KM and LN are diagonals, so they must be equal:
KM = LN

KM = 6x + 16
LN = 49

6x + 16 = 49
6x = 49 - 16
6x = 33
x = 33/6
x = 5.5
7 0
3 years ago
Read 2 more answers
PLS HELP, I’m soo confused!!! ANY HELP WILL BE APPRECIATED
Ilia_Sergeevich [38]

Answer:

e

Step-by-step explanation:

e

6 0
2 years ago
What is 4/15 equivalent to
max2010maxim [7]

Answer:

.2666667 or 26.66667%

Step-by-step explanation:

4/15 cant be simplified further. the denominator is divisible by 5 or 3, while the numerator is only divisible by 2. You can't make it smaller.

8 0
3 years ago
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