<span> 2k + m
= 2(11) + 5
= 22 + 5
= 27</span>
Answer:
AC=10
Step-by-step explanation:
PC^2+6^2=10^2 (pyt theorem to find PC)
PC=8
PA=PB=6 (equal)
8^2+6^2=AC^2
AC=10
Square
as the sides are all equal
Answer:
The answers of all four questions are below.
Step-by-step explanation:
(5)4+2x=−2x+44
Step 1: Simplify both sides of the equation.
2x+4=−2x+44
Step 2: Add 2x to both sides.
2x+4+2x=−2x+44+2x
4x+4=44
Step 3: Subtract 4 from both sides.
4x+4−4=44−4
4x=40
Step 4: Divide both sides by 4.
4x/4=40/4
x=10
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(6)114−3x=194−11x
Step 1: Simplify both sides of the equation.
114−3x=194−11x
114+−3x=194+−11x
−3x+114=−11x+194
Step 2: Add 11x to both sides.
−3x+114+11x=−11x+194+11x
8x+114=194
Step 3: Subtract 114 from both sides.
8x+114−114=194−114
8x=80
Step 4: Divide both sides by 8.
8x/8 = 80/8
x=10
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(7)4x-12=-2x+36
4x-12+12=-2x+36+12
4x=-2x+48
4x+2x=-2x+48+2x
6x=48
6x/6=48/6
x=8
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(9)-3x+90=117-12x
-3x+90-90=117-12x-90
-3x=-12x+27
-3x+12x=-12x+27+12x
9x=27
9x/9=27/9
x=3
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Oh, and a tip if your having trouble with algebraic expressions I recommend you use mathpapa and symbolab when I was learning expressions this really helped me. Have a great day.
Answer:
about 6.87%
Step-by-step explanation:
First, set up your problem:
<u>$13.13</u> = <u>x %</u>
$191 100%
Explaining the setup: $191 is the total, so it is equal to 100%. We're trying to find what percent $13.13 is of $191, so we can call that x %. Then, because they are equal to each other, cross multiply.
You should end up with this:
1313 = 191x
Simplify the equation:
x = 6.874 . . .
Then, round to the given value.
(nearest hundredth) 6.87%