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2 years ago

ethan took a quiz with 15 questions. if he answered 3/5 of the questions correctly, how many did he get wrong?

2 answers:

7 0

I love this question! It requires careful reading! There are multiple ways to get the right answer, so here are a couple! The sentence tells us the fraction of the questions he got RIGHT! To find this out you must multiply 3/5 by the total number of questions (3/5 x 15 = 9 correct questions). You then can subtract the 9 questions from the 15 total to find out the number that were INCORRECT/WRONG. 15 - 9 = 6 incorrect questions. Another strategy would be to find the fraction of questions Ethan missed, which is one minus the fraction he got RIGHT. 1 - 3/5 or 3/5 + ___ = 1 (5/5). He missed 2/5 of the questions, so you can multiply 2/5 by the total to get (2/5 x 15 = 6) 6 incorrect answers. Hope this helps!

valentina_108 [34]2 years ago

3 0

$\frac{15}{1} * \frac{3}{5} = \frac{45}{5} = 9 
 



$

15-9= 6
Ethan got six questions wrong.

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Step-by-step explanation:

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2 years ago

A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

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3 years ago

What are the solutions to the equation |x – 10| – 4 = 2x?

Yuliya22 [10]

|x – 10| – 4 = 2x

x - 10 - 4 = 2x

x - 14 = 2x

x - 2x = 14

-x = 14

x = -14

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2 years ago

Olivia wants to cut 3 3/4 inches from a piece of string.She has already cut off 2 9/16 inches from the piece of string.How much

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Answer: she still has to cut off 19/16 inches.

Step-by-step explanation:

Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 inches to improper fraction, it becomes 15/4 inches.

She has already cut off 2 9/16 inches from the piece of string. Converting 2 9/16 inches to improper fraction, it becomes 41/16 inches.

Therefore, the length of string that is left for her to cut off would be

15/4 - 41/16 = (60 - 41)/16

= 19/16 inches

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3 years ago

Suppose f(x) varies inversely with x and f(x)=3 when x=10.

Novay_Z [31]

Answer:

Step-by-step explanation:

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2 years ago