Answer: the answer is 36
Step-by-step explanation:
we can solve this using an algebra equation
so first from the world problem, we can tell that mother and daughter's ages added together is 45 we can represent this by saying x (mother's age), plus y (daughter's age) is 45.
(x+y)=45
Then we from the problem we know that 5 years ago the product of their ages is four times the mother's age at that time. From this, we can write
(x-5)*(y-5)=4*(x-5)
Then we just subtract the common denominators which is (x-5) so then the equation becomes
(y-5)=4
add 5 to both sides
y=9
Then all we do is plug the answer for y into the very first equation
x+9=45
Subtract both sides by 9
x=36
To double-check let's put the answers in the second equation
(36-5)*(9-5)=4*(x-5)
we get
(31)*(4)=4*(31)
so it's right I think
Answer:
It is greater
Step-by-step explanation:
Answer:
Therefore, the total Resistance: R = 93.9 Ω
Step-by-step explanation:
Given
R₁ = 1 × 10²
R₂ = 2.5 kΩ = 2.5 × 10³ Ω
R₃ = 4 kΩ = 4 × 10³ Ω
Given that the given resisters are connected parallel, so using the formula to calculate the total Resistance R:

susbtituting R₁ = 1 × 10², R₂ = 2.5 × 10³ Ω, and R₃ = 4 × 10³ Ω

Multiply by LCM of R, 100, 2500, and 4000: 20000 R

simplify

Switch sides

Divide both sides by 213

Simplify

Ω
Therefore, the total Resistance: R = 93.9 Ω
To compare fractions, you need a common denominator.
6 goes into 18 three times. If we multiply (5/6) by 3 on top and bottom you get

Now we can compare numerators, since 15 > 13