Answer:
There would be 10 quarters and 23 dimes.
Step-by-step explanation:
There are generally two methods to solving this type of problem. (1) is guess and check, where you try different amounts of dimes and quarters in combinations of 33 coins until you reach an amount of $4.80. However, we can also solve the problem algebraically using two equations and two variables. In this case, 'd' = amount of dimes and 'q' = amount of quarters. We know that there are 33 total coins, or d + q = 33. We also know that the amount of the coins is $4.80, or .10d + .25q = 4.80. Solving the first equation for 'q', we get q = 33 - d. We can then substitute this expression for 'd' in the second equation to solve for d: .10d + .25(33 - d) = 4.80 or .10d + 8.25 - .25d = 4.80. Combining like terms and using inverse operations, first subtraction then division, we get d = 23. If there are 23 dimes, then there must be 10 quarters, for a total of 33 coins or $2.30 in dimes and $2.50 in quarters.
Answer:
a. O = h - 40
b. 0, 4, 8, 12
Step-by-step explanation:
Let numver of overtime hours Jim workes for defined by O.
Standard working hours in a week for Jim = 40 Hours
If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.
⇒ O = h - 40
now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be
O = 40 - 40 = 0 Hours
O = 44 - 40 = 4 Hours
O = 48 - 40 = 8 Hours
O = 52 - 40 = 12 Hours respectively.
Since 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts, you need to find the Total of 3/5 and 1/4.
First, step find a common denominator for both fractions
EXAMPLE: 3/5+1/4=Total 3/5 becomes 12/20 and 1/4 becomes 5/20.
Second, notice that both fractions now have the same denominator, now you can find the sum of both fractions which is 17/20
Finally, you need to check if the fraction can be SIMPLIFIED if not then the fraction is already im simplest form.
THE ANSWER: 17/20 of students wore either a blue or white shirt on Friday
Answer:Therefore you need the trig function that contains both the OPPOSITE and the HYPOTENUSE, which would be SINE, since sin = OPPOSITE / HYPOTENUSE.
Step-by-step explanation:
Step 1: Determine which trigonometric ratio to use.
Step 2: Create an equation using the trig ratio sine and solve for the unknown side.
Sunday will be twice her age in 2038. Hope this helps