Answer:
The first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches
Step-by-step explanation:
Since the second piece is 4 times longer than the first one, it will be represented by 4x.
The third piece is 5 times as long as the first one, so it will be represented by 5x.
Create an equation adding up the 3 x values up to 60:
x + 4x + 5x = 60
Add like terms and solve for x:
10x = 60
x = 6
So, the first piece is 6 inches.
Then, plug in 6 for x to find the lengths of the second and third pieces.
4x
4(6)
= 24
The second piece is 24 inches
5x
5(6)
= 30
The third piece is 30 inches
So, the first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches
9/80 is equal to the decimal .1125
Answer:
d
Step-by-step explanation:
ㅎㅊㄹㅇ효율ㅗㅇㅗㄴㅎㅊㅗ어ㅐ더랴ㅜㄷ훨씬ㅓ로랴류ㅑ류래ㅗㅎ7어ㅗㄹ6휴러ㅓ훠래라7하래러ㅐㅜ여ㅜㅏ
Since the distance of MN is 31 and we have a distance of ML
of h -15 and LN of 2h – 8, therefore
ML + LN = h -15 + 2h – 8 = 31
h = 18
substituting the value of h to the expression for LN
obtaining
LN = 2h – 8
LN = 2(18) – 8
LN = 28
Therefore the length of the segment LN is 28 units
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"
A polynomial can have:
constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...
... except ...
... not division by a variable (so something like 2/x is right out)
So:
A polynomial can have constants, variables and exponents,
but never division by a variable.
Also they can have one or more terms, but not an infinite number of terms.
These are polynomials:
3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)
These are not polynomials
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
