Hey there! I'm happy to help!
Let's call the length and width L and W respectively.
L=2W+8
2W+2L=124
We plug our value of L into the second equation and solve for W.
2W+2(2W+8)=124
We undo the parentheses with the distributive property.
2W+4W+16=124
Combine like terms.
6W+16=124
Subtract 16 from both sides.
6W=108
Divide both sides by 6.
W=18
We plug this W value into the first equation to solve for L.
L=2(18)+8
L=36+8
L=44
So, the length is 44 feet and the width is 18 feet.
Have a wonderful day! :D
Answer:
you have to sell 6 tables to meet all requirements
Step-by-step explanation:
chairs=$50x
tables=$550x
24 chairs×50= $1200
4100-1200= $2900
take $2900 and divide by $550 to find the exact number of tables which is 5 but selling 5 tables and 24 chairs doesnt reach the $4100 mark so I rounded up to 6 tables which doesnt surpass the maximum number of furniture(32) but beats the $4100 mark
Answer:
No solution or
(-3±
)/8
Step-by-step explanation:
To get the solution, move everything to the left side of the equation:
8x²+6x+5 = 0
If you try to factor the equation or graph it, you will see that it will never equal 0.
If you need an imaginary solution you can plug it into the quadratic equation:
-6±
over 16
Simplify and you get
-6±
over 16
-6±
over 16
Simplify the fraction and you can get
(-3±)/8
7 times -6x, because “a number” can be replaced with x
Answer:
dogs - 13
cats - 39
Step-by-step explanation:
Let the number of dogs Ma Bernier have be represented with d
She has 3 times as many cats as dogs, the number of cats she has :
cats = 3d
The sum of the cats and dogs is 52
d + 3d = 52
4d = 52
divide both sides of the equation by 4
d = 13
She has 13 dogs
Cats = 3d
= 3 x 13 = 39
