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3 years ago

Six times a number, increased by 3 is is 27. find the number

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

6 0

Answer : The number is 4.

Step-by-step explanation:

Given : 

six times a number, increased by 3 is is 27.

To Find: 

The number.

Solution : 

Let the number is x

six times a number is 6x

Increased by 3 = 6x+3

According to the given question :

Solving the value x : 

6x+3 =27

6x = 27-3

6x = 24

x = 24/6

x = 4

Hence, the number is 4.

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Sam picked 1/2 gallon of blueberries. he poured the blueberries into one of his plastic containers and noticed that the berries

earnstyle [38]

Answer:

3/4 gallons of blueberries

Step-by-step explanation:

we know that

1/2 gallon of blueberries filled the container 2/3 full

using proportion

Find out how many gallons of blueberries does it take to fill Sam’s container completely full

Remember that

completely full (100% filled) is the same that the fraction 3/3 or 1

$\frac{(1/2)}{(2/3)}=\frac{x}{1}\\\\x=\frac{1}{2}:\frac{2}{3}\\\\x= \frac{1*3}{2*2}\\\\x=\frac{3}{4}\ gal$

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2 years ago

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Viefleur [7K]

Answer:

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3 years ago

In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderat

Alexus [3.1K]

Answer:

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1004, \pi = 0.53$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.4894$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.5706$

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

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2 years ago

Write this ratio as a fraction in simplest form. 2 1/3: 4 1/2

8_murik_8 [283]

2/3:2 = 1/3:1 The last one is in simplest form.

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3 years ago

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Pepsi [2]

Answer:9

Step-by-step explanation:

8 * 9 = 72

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3 years ago