4t ^ 2 - 16 ÷8 ÷ t - 2 ÷6
=(4t ^ 2)-(16 ÷8 ÷ t)-(2 ÷6)
=(4t ^ 2)-(2/t)-1/3
=4t ^ 2-2/t-1/3
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.
Step-by-step explanation:
Given,
Charges for cutting small lawns =$20
Charges for cutting large lawns = $30
Total yards mowed = 6
Total amount earned = $140
According to given statement;
x+y=6 Eqn 1
20x+30y=140 Eqn 2
x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.
Keywords: linear equation, addition
Learn more about linear equations at:
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Answer:
The given set of equation are: x+ (-45) ≤ 35 , x - (-45) ≥ 35
For the given equality to be true, x ≤ 35
Step-by-step explanation:
Here, given the first number = x
Second number = -45
Now, Sum of x and - 45 is at most 35.
⇒ x+ (-45) ≤ 35
Also, The difference of x and -45 is at least 35.
⇒ x - (-45) ≥ 35
Now, simplifying the given set of equations:
x - 45 ≤ 35 ⇒ -x - (-45) > - 35 ( as 3 < 4 ⇒ -3 > -4)
or, -x + 45 > - 35
and second equation is x + 45 ≥ 35
Now, solving both the equations by not taking sign of inequality in to the consideration, we get
x - 45 = 35
x + 45 = 35
Adding both equations,we get: ⇒ 2x = 70
or x = 35
Hence for the given equality to be true, x ≤ 35
Absolute value (no negatives)
1/16=.0625*16=1+16=17+16=33