Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read
Step-by-step explanation:
Given the equation
P=-30h+74
where p =number of pages left to read and
h= the number of hours he has spent reading
Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be
P=-30h+74
14= -30h + 74
30h= 74-14
30h= 60
h = 60/30
h =2 hours
Ethan will have to spend 2 hours reading if 14 pages are left to read
To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
Answer:
3
√
2
Explanation:
First put change the words into an equation:
√
3
×
√
6
Now you can multiply them together as you would normally multiply:
√
3
×
√
6
=
√
18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
/ \
6
3
/ \
2
3
As you can see, we have a square:
3
×
3
=
9
So take
√
9
out of
√
18
. You should have:
√
9
√
2
But since
√
9
=
3
we can simplify further to make:
√
9
√
2
→
3
√
2
Step-by-step explanation:
Answer:
you're seeing
Step-by-step explanation:
the answer is
-n ≤ 3
Answer:
I believe your answer would be 1/6 :)
Step-by-step explanation:
