Answer:
Inequality : 4x+8 < 120
x<28
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a rectangle (P)= 2 length +2 width
Where:
Width = x
Length = x+4
Replacing with the values given
P = 2 (x+4) + 2x
P = 2x+8+2x
P=4x+8
Since the perimeter of the rectangle must be less than 120:
4x+8 < 120
Solving for x
4x<120-8
4x<112
x<112/4
x<28
Feel free to ask for more if needed or if you did not understand something.
Answer:
Presumably you're solving for x here? Without further information we'll assume that.
With that in mind, x is approximately equal to 0.86 and -0.46
Step-by-step explanation:
Let's start by putting it in the usual ax² + bx + c format.
let's solve it. First we'll multiply both sides by five, making the first term a perfect square:
Now we'll add 11 to both sides:
Which makes the left side a perfect square:
And now we can solve for x:
Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.
That gives us two answers:
Answer:
D.
Step-by-step explanation:
The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".
A. 0.33 is a valid response, since it represents 33%.
B. 56% is also a valid response.
C. 7/8 is also a valid response since it represents 0,875 or 87,5%.
Hope it helped,
BiologiaMagister
Answer:
Sylvia's investment would double first
Step-by-step explanation:
The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:
Sylvia investment:
Sylvia's investment would double in 9 years' time (72/8)
Manuel's investment"
Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)
From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first
Larger Number: L
Smaller Number: L-9
Larger Number + Smaller Number = 45
L + L - 9 = 45
2L = 54
L = 54/2
L = 27
Smaller Number = L - 9
27 - 9 = 18
Check. .. 27 + 18 = 45. CORRECT!
Larger Number is 27
Smaller Number is 18
