Answer:
Part A: option C. 135.2°F
Part B: 40 min
Step-by-step explanation:
<em>Part A:</em><em> What is the temperature in degrees Fahrenheit of the soup after 25 minutes?</em>
<u>1. Set an equation</u>:
- Temperature = Initial temperature - decrease in temperature
- decrease in temperature = rate of decrease × time
- Variables:
temperature: T
initial temperature: To = 192.7°F
decrease rate: 2.3°F / min
time = t
- Equation: T = 192.7°F - 2.3(°F/min) × t
2.<u> Substitute t = 25 min</u>
- T = 192.7°F - 2.3 (°F/min) × 25 min = 135.2 °F
Part B. <em>How many minutes will it take for the soup to cool to 100.7°F?</em>
2.<u> Solve the equation for t</u>
- T = 192.7°F - 2.3(°F/min) × t ⇒ t = (192.7 °F - T) / (2.3 °F/min)
3. <u>Substitute T = 100.7°F</u>
- t = (192.7°F - 100.7°F) / (2.3 °F/min) = 40 min
Question
If DE = 4x-1, EF = 9, and DF = 9x-22, find the value of x.
Answer
x = 6
Answer: The required equation is,

Step-by-step explanation:
Let x be the size of the larger bottle,
Since, the size of smaller bottle of lotion = 5.4 ounces,
According to the question,
The larger bottle gives 20% more free lotion,
The size of the larger bottle = The size of smaller bottle of lotion + 20 % of the size of smaller bottle of lotion
= 120 % of the size of smaller bottle of lotion
= 120 % of 5.4


Which is the required equation that could be used to find the size of the larger bottle.
Answer:
50 Teachers
Step-by-step explanation:
To solve this problem, we first need to find the number of teachers <em>before </em>the new teachers were added. To do so, I created Model 1. On the bottom of the ratios, we have students. On the top, is teachers. The X is the number of teachers we are trying to find. Following the model, I multiplied 2,100 x 1 (2,100) and divided it by 14 to get 150 teachers. Then, I set up a similar model with the new student-teacher ratio (Model 2). From there, I multiplied 2,100 x 2 (4,200) and divided it by 21 to get 200 teachers. Now I have the original number of teachers and the new number of teachers. Subtract the new by the original to find the teachers added and you get the answer of 50 teachers added.
Answer:
144 gold bars
Step-by-step explanation:
first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36
once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144