answer is D i just took the test and i got it right
Answer:
850 leaves were on the tree initially.
Same as;
2/5 + 1/5 + 3/10 + (remaining leaves 1/10) = 1
4/10 + 2/10 + 3/10 + 1/10
10 x 85 = 850
Step-by-step explanation:
2/5 wk 1 fall off
1/5 wk 2 fell off
3/5 x 1/2 = 3/10 wk 2 stayed on tree
1/3 x 3/10 = 1/10 wk 3 stayed on
2/5 + 1/5 + 3/10 = 9/10 = 0.9 fall off in total
10/10 - 9/10 = 1/10 left on tree
1/10 = 85
10 x 85 = 850 leaves.
Answer:
the missing side of the rectangle should be twelve
Step-by-step explanation:
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
2/9 - 7/12
First, multiply to find a common denominator. Multiply both pieces of the left fraction by 12, and both pieces of the right fraction by 9.
24/108 - 63/108 = -39/108 = -13/36
a= -13
b= 36
