Answer: Kim can mow the greens alone in 6 hours.
Step-by-step explanation:
Let K be the rate Kim mows the greens, and S the rate for Shayla. The rates K and S will be in greens/hour.
We know they can mow 1 green in 4 hours. We can state this as a sum of their rates times the 4 hours equals one green:
(4 hours)*(K + S) = 1 green
We are told that K = 2S [Kim is twice as fast as Shayla]
Subsititute:
(4 hours)*(K + S) = 1 green
(4 hours)*(2S + S) = 1 green
4*(2S + S) = 1 green
12S = 1 green
Shalya's rate is 1 green/12 hours
Kim is twice as fast: K = 2S
Kim's rate is 1 green/6 hours.
The given problem is very confusing since it was copy
pasted directly from the source so the equations look scrambled and plus it was
one words. After my own translation, I believe the given numbers are:
4 ⋅ 10^6
and
1 ⋅ 10^4
The symbol ⋅ means
that the two numbers are multiplied while the symbol ^ means an exponent of.
Now we are asked to find how much the 1st number is larger than the
2nd number. To solve this, we simply have to divide the bigger
number by the smaller number. Since 4 ⋅ 10^6
has bigger exponent than 1 ⋅ 10^4
then it is the bigger number.
Ratio = 4 ⋅ 10^6 /
1 ⋅ 10^4
Ratio = 4 ⋅ 10^2 =
400
Therefore 4 ⋅ 10^6
is 400 times bigger than 1 ⋅ 10^4.
Answer:
<span>400 times</span>
Answer:
8
Step-by-step explanation:
15 x (1/3+1/5) make common denominators and add
15 x (5/15+3/15) add fractions
15/1 x (8/15) 15 and 15 cancel out and become 1
1/1 x 8/1
1 x 8
8
Answer:
x = 60
Step-by-step explanation:
Vertical opposite angles are formed when two straight lines intersect each other.
Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:
∠AOD = ∠COB (Vertical opposite angles are congruent)
∠AOE = 90° (right angle)
∠DOE = x
∠COF = 30°
∠BOF = 2x
m∠AOE + m∠DOE = m∠AOD (angle addition postulate)
90 + x = ∠AOD (Substitution)
m∠COF + m∠BOF = m∠COB (Angle addition postulate)
30 + 2x = ∠COB
m∠AOD = m∠COB (vertical opposite angles)
90 + x = 30 + 2x (Substitution)
Collect like terms
90 - 30 = 2x - x
60 = x
x = 60
