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vfiekz [6]
2 years ago
9

Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

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The temperature of chicken soup is 192.7°F. As it cools, the temperature of the soup decreases 2.3°F per minute. Part A What is
SIZIF [17.4K]

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
7 0
2 years ago
Answer this please and thank you<br><br> If DE=4x-1, EF=9, and DF=9x-22, find the value of x.
dexar [7]

Question

If DE = 4x-1, EF = 9, and DF = 9x-22, find the value of x.

Answer

x = 6

8 0
2 years ago
You usually buy a 5.45.4 ounce bottle of lotion. There is a new bottle that says it gives you 20%20% more free.
valentina_108 [34]

Answer: The required equation is,

x = \frac{120\times 5.4}{100}

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

=\frac{120\times 5.4}{100}

\implies x = \frac{120\times 5.4}{100}

Which is the required equation that could be used to find the size of the larger bottle.

6 0
2 years ago
Read 2 more answers
In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
mrs_skeptik [129]

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.

6 0
2 years ago
A rectangular safe can hold 5184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the sa
S_A_V [24]

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

6 0
2 years ago
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