the balance in joans savings account tripled during the year. Joan then withdrew $500, and the resulting balance was $100. what was the balance in the account before ir tripled

Answer:

39

Step-by-step explanation:

If ZABC is a 90 degree angle all together and ZDBC is 51 degrees

Subtract 51 from 90 to get the angle for ZABD

90-51=39

Answer:

Step-by-step explanation:

a. We are not given enough information to determine the temperature of the refrigerator.

b. We can express the temperature of the roast 30 minutes after being put in the oven as R(30). Its value depends on the specific function R(t) given in the problem.

c. To find the increase in temperature during the first 10 minutes of cooking, we need to find the difference between the temperature of the roast after 10 minutes and the temperature of the roast when it was put in the oven. This is given by:

R(10) - R(0)

d. To find the increase in temperature from the first hour to 10 minutes after the first hour of cooking, we need to find the difference between the temperature of the roast at 1 hour and 10 minutes and the temperature of the roast at 1 hour. This is given by:

R(70) - R(60)

Final answer:

The temperature of the refrigerator is the initial temperature of the roast. The temperature of the roast 30 minutes after being put in the oven can be expressed as R(30), but its value cannot be determined without a specific function. The temperature increase during specific time intervals can be calculated by finding the difference between the temperatures at the respective times.

Explanation:

a. To find the temperature of the refrigerator, we need to use the given information. Since the roast was in the refrigerator for several days before being placed in the oven, we can assume that the temperature of the refrigerator matches the temperature of the roast initially, which is denoted as R(0). Therefore, the temperature of the refrigerator is R(0).

b. Expressing the temperature of the roast 30 minutes after being put in the oven in functional notation is R(30). To calculate its value, we need the specific function or equation that relates the temperature to time. Without this information, we cannot determine the exact numerical value of R(30).

c. To determine the temperature increase during the first 10 minutes of cooking, we need the temperature difference between the initial temperature of the roast (R(0)) and the temperature after 10 minutes of cooking (R(10)). The increase is given by R(10) - R(0).

d. To find the temperature increase from the first hour to 10 minutes after the first hour of cooking, we need the temperature at the start of the first hour (R(60)) and the temperature at 10 minutes after the first hour (R(60 + 10)). The increase is given by R(60 + 10) - R(60).

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If Charlie has $20 and needs to rent shoes then he must bowl 25 games.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let represent number of games that Charlie can bowl "x".

The cost of renting shoes is given as $1.25.

The cost of each game is given as $0.75.

So the total cost of bowling x games, including the cost of shoe rental, is:

Total cost = Shoe rental + (Cost per game x Number of games)

Total cost = $1.25 + ($0.75 x x)

Total cost = $1.25 + $0.75x

We know that Charlie has $20 to spend.

So we can set up an equation that equates the total cost of bowling to $20:

$1.25 + $0.75x = $20

Solving for x, we can subtract $1.25 from both sides and then divide by $0.75:

$0.75x = $18.75

x = $18.75 / $0.75

x = 25

Hence, if Charlie has $20 and needs to rent shoes then he must bowl 25 games.

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Answer:

the answer is 32.50

Step-by-step explanation:

I added the two totals and then multiplyed them by 5

Answer:

6.55

Step-by-step explanation: