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Vikki [24]
3 years ago
12

Solve the system of equations using elimination.

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

q= 6

r= 7

Step-by-step explanation:

Multiply 1st column by -2:

-30q+8r=-124

5q+8r=86

Subtract 2nd column from the first column:

-35q= -210

Solve for q:

q=6

Subtract q=6 by any of the two equations, so:

-30q+8r=-124

-30*6+8r=-124

Solve for r:

r=7

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Answer:5.83k

Step-by-step explanation:

annual means divide current by 6

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3 years ago
suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

4 0
3 years ago
7. Which expression is the exponential form of 3√m
borishaifa [10]
Rewrite the rational (fraction) exponents using the formula ^n<span>√a^x= a x/n

3m 1/2 </span>
7 0
4 years ago
Read 2 more answers
Calculate the simple interest earned on an investment of $26,000 at 8% p.a. Over 3 years.
Annette [7]
I=prt
I=26,000×0.08×3
I=6,240
6 0
4 years ago
A gym charges a one time sign-up fee of $10.25 and then $5 each time you go. A student paid a total of $137.25. How many times d
horrorfan [7]

Answer:

25.4 or 25 times

Step-by-step explanation:

137.25-10.25=127

127/5=25.4

4 0
3 years ago
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