Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
<h3>
Answer: 20% increase</h3>
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Explanation:
A = old value = 110
B = new value = 132
C = percent change
C = 100*(B-A)/A
C = 100*(132-110)/110
C = 20%
The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.
The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%
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Checking the answer:
20% of 110 = 0.20*110 = 22
She's able to lift 22 extra pounds on top of the 110 pounds she can handle previously, so she can now lift 110+22 = 132 pounds. The answer is confirmed.
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
M + e + f = 11
e = 1/5m
f = 3m
m + 1/5m + 3m = 11 <== ur equation
5/5m + 1/5m + 15/5m = 11
21/5m = 11
m = 11 / (21/5)
m = 11 * 5/21
m = 55/21
m = 2.619 rounds to 2.62...milk
e = 1/5m
e = 1/5(2.62)
e = 0.53 .....eggs
f = 3m
f = 3(2.62)
f = 7.86...fabric softener
Answer:
x=41
Step-by-step explanation:
so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:
a^2+b^2=c^2
so:
9^2 +40^2=c^2
solve for the exponents:
81 +1600=c^2
1681=c^2
and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41
hope this helps :)
