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Oksi-84 [34.3K]
3 years ago
11

The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below: Step 1: 4(2x − 1) = 11 + 3x + 5 Step

2: 8x − 4 = 16 + 3x Step 3: 8x + 3x = 16 − 4 Step 4: 11x = 24 Step 5: x = 2.18 In which step did the student first make an error and what is the correct step?
Mathematics
2 answers:
pantera1 [17]3 years ago
6 0
The answer is Step 3: 8x − 3x = 16 + 4, because you have to subtract 3x not add.
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neonofarm [45]3 years ago
3 0
In step three the prblem was incorrect. this is because you have to add four from both sides leading to 8x=20+3x then you have to subtract 3x which is 5x=20. divinding both sides by 5 is:

X=4 
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a tap can fill a bucket in 2 minutes, another in 3 minutes. If both are turned on how long does it take to fill the bucket?
Rama09 [41]

Answer:

It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.

Step-by-step explanation:

  1. One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
  2. Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
  3. Both together fill 1/2+1/3=5/6 of the bucket in one minute.
  4. If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
  5. They can fill the bucket (6/6) in 1+1/5 minute
  6. This is 1 minute 12 seconds
6 0
3 years ago
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
valentina_108 [34]

Answer: This triangle is <u>not</u> a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides.  Thus, 5^2+9^2=13^2.  Simplify this to get 25+81=169, then 106=169.  Because 106 does <u>not</u> equal 169, it is not a right triangle.

<em>Hope it helps <3</em>

8 0
3 years ago
Read 2 more answers
The ratio of Boys to Girls in Mr. Asante Class is 2 to 3. There are 18 girls in the class. What is the total number of students
ladessa [460]

Answer:

30

Step-by-step explanation:

2/3 = x/18

2*18 = 3x

36 = 3x

x=12

so there are 12 boys

12+18=30

7 0
3 years ago
Below are the results of tossing a number cube 7times. Find the experimental probability of tossing an even number. 6 4 3 2 5 3
Daniel [21]
3/7 or 3:7 because you tossed the dice 7 times and got an even number 3 of those times.
7 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> a. 25<br> b. 12<br> c. 7<br> d. 5
s2008m [1.1K]
A^2+b^2=c^2
4 squared and 3 squared =25
square root of 25 is 5
answer is d
6 0
3 years ago
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