Perimeter of a rectangle:
P = 2 L + 2 W, P = 72 ft
P ( new ) = 2* 3.5 L + 2 * 3.5 W = 3.5 * ( 2 L + 2 W ) = 3.5 P
P ( new ) = 3.5 * 72 = 252 ft
Answer:
The perimeter of the new rectangle is 252 ft.
Use PEMDAS:
P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
First, start with the parenthesis:
(8.76 * 109)(6.52 * 10 - 3) / 13.27 * 105
(954.84)*(62.2) / 13.27 * 105
Then do ALL multiplication:
59,391.048 / 1,393.35
Now do all division:
42.62
So, your final answer is 42.62
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➷ First identify and assign the variables:
q = number of quarters
d = number of dimes
This is what we know:
q + d = 22
A quarter is 25 cents and a dime is 10 cents
You can write this as:
0.25q + 0.1d = 3.40
Rearrange the first equation for d
d = 22 - q
Substitute this value into the other equation:
0.25q + 0.1(22 - q) = 3.40
Simplify:
0.25q + 2.2 - 0.1q = 3.40
0.15q + 2.2 = 3.4
Subtract 2.2 from both sides:
0.15q = 1.2
Divide both sides by 0.15:
q = 8
Substitute into the first equation:
8 + d = 22
d = 14
Therefore, there are 8 quarters and 14 dimes.
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Answer:
y = -3x-1
Step-by-step explanation:
all u had to do was plug it into y = mx+b
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
