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Nesterboy [21]
2 years ago
8

Nosaira solved an equation. Her work is shown below: 3(2x + 1 ) = 2(x + 1) + 1 6x + 3 = 2x + 2 + 1 6x + 3 = 2x + 3 4x = 0 x = 0

She determines the equation has no solution. Which best describes Nosaira’s work and answer? Her work is correct, but there is one solution rather than no solution. Her work is correct and her interpretation of the answer is correct. Her work is incorrect. She distributed incorrectly. Her work is incorrect. She moved terms across the equals sign incorrectly.
Mathematics
2 answers:
maksim [4K]2 years ago
7 0
3(2x+1)=2(x+1)+1
6x+3=2x+2+1
6x+3=2x+3
minus 2x
4x+3=3
minus 3
4x=0
divide by 4
x=0

her work is correct
her conclusion is wrong; there is one solution which is x=0
valentina_108 [34]2 years ago
5 0

Answer:

Her work is correct, but there is one solution rather than no solution

Step-by-step explanation:

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Step-by-step explanation:

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Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
gladu [14]
Let n = minutes since 12:00 pm when Malory catches up to Dori.

Dori travels
(50 steps/min)*(n minutes) = 50n steps

Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20  min) = 90n - 1800 steps

Equate the steps traveled by Dori and Malory.
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The time corresponding to n = 45 min is 12:45 pm

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2 years ago
Mai spends 7 and 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switchi
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First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,
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Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes. 

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8 0
2 years ago
Ron and amie opened an educational savings account for their daughter when she was born making a $5,000 initial investment. They
Arlecino [84]

Interest rate= 0.083%

Step-by-step explanation:

Principal= $5000 Amount= $10000 Time period= 12 years

A=Amount, P= Principal, I= Simple Interest r= Rate of interest t= Time period

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6 0
2 years ago
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
2 years ago
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