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MrRa [10]
3 years ago
6

while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many

postcards as Nathan. how many postcards did Samantha buy?
Mathematics
2 answers:
Vesnalui [34]3 years ago
5 0
The answer is 12, I believe.
pickupchik [31]3 years ago
3 0
Write a system of equation based on the problem
⇒ Erika bought 6 postcards
    E = 6
⇒ Erika bought twice as many postcards as Nathan bought
    E = 2N
    2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
    S = 4N

Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
  N = 6/2
  N = 3
Nathan bought 3 postcards

Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards
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Write the phrase as an expression. Then evaluate when y=20.
alisha [4.7K]

Answer:

Q=\frac{40}{y-16}

Q=10

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is y-16

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is y-16. So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and y-16 is given as:

Q=\frac{40}{y-16}

Now, we need to find the quotient when y=20. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0
4 years ago
Determine where each piece below belongs to create a rational expression equivalent to the one shown above.
Luba_88 [7]

An example of a rational expression is 2x+3/x-2.

<h3>What is a rational expression?</h3>

The complete question wasn't found. Therefore, a overview will be given. It should be noted that a rational expression simply means quotient of two polynomials.

A rational expression is a fraction whose numerator and denominator are polynomials.

In this case, an example of a rational expression is 2x+3/x-2

Learn more about rational expression on:

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3 0
2 years ago
What is the vertex of: <br> y=x^2+10x+26
iragen [17]

Answer:

the vertex is (-5,1)

Step-by-step explanation:

hoped I helped:)

7 0
3 years ago
According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c
strojnjashka [21]

Answer:

a) n=100,\,\mu_s = 14.7, \,\sigma_s=0.32

b) n=400,\,\mu_s = 14.7, \,\sigma_s=0.16

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

Step-by-step explanation:

a) We have a population with mean of 14.7 and standard deviation of 3.2.

We have to calculate the parameters of the sampling distribution (mean and standard deviation), for a sample size of n=100.

The mean for the sampling distribution is the same of the population:

\mu_s=\mu=14.7

The standard deviation of the sampling distribution is related to the population standard deviation by the inverse of the square of the sample size:

\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{100}=3.2/10=0.32

b) For a sample size of n=400, the mean is the same (14.7), but the standard deviation becomes:

\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{400}=3.2/20=0.16

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

As we calculated, the standard error decreases as the sample size increases. This is because the variability of the variable is reduced as the sample size is bigger.

The mean stays the same independently of the sample size.

7 0
3 years ago
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Sunny_sXe [5.5K]

Answer:

125%

Step-by-step explanation:

divide 250% by 2

7 0
3 years ago
Read 2 more answers
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