Hello! I can help you with this! For this problem in order to find the amount of months it will take for them to have the same amount of money, we can write and solve an equation.
1. Okay. Amira has $80, and saves $40 a month. Max has $40 and saves $50 a month We have the numbers, so we can write the equation. Set it up like this:
80 + 40x = 40 + 50x
We set it up like this, because each girl has some money, but they're saving more to add to the total. Let's start solving. Subtract 40x from both sides. 40x - 40x cancels out. 50x - 40x is 10x. That shortens to 80 = 40 + 10x. Subtract 40 to get both sides by themselves. 40 - 40 cancel out. 80 - 40 is 40. That simplifies to 40 = 10x. Now, divide each side by 10 to isolate the x. 10x/10 cancel out. 40/10 is 4. Let's test this out and see if it works. 40 * 4 is 160. 160 + 80 is 240. 50 * 4 is 200. 200 + 40 is 240. 240 = 240. There. x = 4. Amira and Sasha will have the same amount of money in 4 months.
Answer:
x=3
Step-by-step explanation: too much math to put here
We have been given that during one period extreme cold, the average daily temperature decreased
degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.
First of all we will convert our mixed fraction into improper fraction.

Now we will divide total temperature change (9) by average daily temperature change (
) to find number of days.

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.


Therefore, it will take 6 days for the temperature to decrease by 9 degree F.
The sample proportion of returns with errors at the two tax offices will be 0.1389 and 0.0927 respectively.
<h3>How to calculate the sample proportion?</h3>
From the information, the the observed frequencies showing the number of sampled returns with errors and the number of sampled returns were given.
The sample proportion will be:
P1 = 35/(35 + 217)
= 35/252
= 0.1389
P2 = 28/(28 + 274)
= 28/302
= 0.0927
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4 grams sample will be left after 1 year
Step-by-step explanation:
The decay function for percentage decay is given by:

Here,
a is the initial value
r is the rate
x is the number of time periods
Given
Initial value = 100 grams
Rate = 6% = 0.06
Time = 1 year = 52 weeks
Putting the values in the formula

Hence,
4 grams sample will be left after 1 year
Keywords: Decay, percentage
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