Question

1. you are slow - cooking a pot roast. after some time, you check its internal temperature with a cooking thermometer. the thermometer reads 123 degrees fahrenheit. what would the thermometer read, to the nearest degree, if it were in degrees celsius?

a. 38
b. 45
c. 51
d. 59
e. 61

1. you are a carpenter and are building a toybox for a customer. the customer requests that the wooden box be 24.3 inches by 36.4 inches. how many inches long must your pieces of wood be to make the sides of the box to these specifications?

a. 118.3
b. 121.4
c. 122.8
d. 128.9
e. 134.5

1. you drive 29 miles to work every day. each day, your average speed is 45 miles per hour. on a typical day, how long does it take you to get to work? round your answer to the nearest minute.

a. 28 minutes
b. 32 minutes
c. 39 minutes
d. 41 minutes
e. 45 minutes

1. in your job at an electronics factory, a 2 - person team can package and ship 235 computers each day. there is an order for 2,585 computers. if each team has two people on it, how many teams are needed to package and ship this order?

a. 7
b. 8
c. 9
d. 10
e. 11

Explanation:

Step1: Use temperature - conversion formula

The formula to convert Fahrenheit ($F$) to Celsius ($C$) is $C=\frac{5}{9}(F - 32)$. Given $F = 123$, we substitute it into the formula: $C=\frac{5}{9}(123 - 32)$.

Step2: Calculate the value inside the parentheses

First, calculate $123-32 = 91$. So, $C=\frac{5}{9}\times91$.

Step3: Calculate the final value

$C=\frac{5\times91}{9}=\frac{455}{9}\approx50.56$. Rounding to the nearest degree, $C\approx51$.

Step4: For the second - question, find the perimeter of the rectangle

The box has dimensions of length $l = 36.4$ inches and width $w = 24.3$ inches. The perimeter of a rectangle $P=2(l + w)$. Substitute the values: $P = 2(36.4+24.3)$.

Step5: Calculate the sum inside the parentheses

$36.4 + 24.3=60.7$. Then $P = 2\times60.7=121.4$ inches.

Step6: For the third - question, use the formula $t=\frac{d}{v}$

The distance $d = 29$ miles and the speed $v = 45$ miles per hour. First, find the time in hours: $t=\frac{d}{v}=\frac{29}{45}$ hours. To convert hours to minutes, multiply by 60. So, $t=\frac{29}{45}\times60=\frac{29\times60}{45}=\frac{1740}{45}\approx38.67$ minutes. Rounding to the nearest minute, $t\approx39$ minutes.

Step7: For the fourth - question, divide the total number of computers by the number of computers per team

The total number of computers is $2585$ and each team can package and ship $235$ computers. The number of teams $n=\frac{2585}{235}=11$.

Answer:

1. C. 51
2. B. 121.4
3. C. 39 minutes
4. E. 11