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2 years ago

Twenty more than four times a number is equal to the difference between 139 and three times the number. Find the number.

Mathematics

1 answer:

Lady_Fox [76]2 years ago

5 0

Answer:

x = 17

Step-by-step explanation:

First, let's turn this into an equation:

twenty more ( +20 ) than four times a number ( 4x ) is equal ( = ) to the difference ( - ) between 139 and 3 times the number ( 3x ).

4x + 20 = 139 - 3x

Now let's solve:

Subtract 20 from each side:

4x = 119 - 3x

Add 3x to each side:

7x = 119

Divide each side by 7:

x = 17

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Express in the form n:1 give n as a decimal 21:12

Makovka662 [10]

$1.75:1$ which is similar to n:1 where $n=1.75$

<u>Step-by-step explanation:</u>

Here we have to Express in the form n:1 give n as a decimal 21:12 . Let's find out:

Given ratio as 21:12 . Let's convert it into n:1 , where n is decimal

⇒ $21:12$

⇒ $\frac{21}{12}$

⇒ $\frac{3(7)}{3(4)}$

⇒ $\frac{7}{4}$

⇒ $\frac{\frac{7}{4}}{\frac{4}{4}}$ { dividing denominator & numerator by 4 }

⇒ $\frac{\frac{7}{4}}{1}$

⇒ $\frac{1.75}{1}$

⇒ $1.75:1$ which is similar to n:1 where $n=1.75$

7 0

3 years ago

A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation o

olasank [31]

Answer:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

Step-by-step explanation:

Information given

$\bar X=9.41$ represent the sample mean

$s=0.24$ represent the sample standard deviation

$n=81$ sample size

$\mu_o =9.33$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:

Null hypothesis: $\mu \leq 9.33$

Alternative hypothesis: $\mu > 9.33$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

4 0

3 years ago

a business analyst makes 20$ an hour for the first 42 hours he works during a week and 28$ an hour for each worked over 42 hours

sashaice [31]

Y=(20 × 42) + [28 × (x-42)]

8 0

3 years ago

Read 2 more answers

Imagine you're on a game show, and you're given the choice of three doors: Behind one door is a million dollars, and behind the

Cerrena [4.2K]

No, i would stay with my answer #1 and trust myself.

6 0

2 years ago

Evaluate the expression 5×5^2÷5-6

Anika [276]

Step-by-step explanation:

according to BODMAS

5×5^2÷5-6

5^2=25

5×25÷5-6

5×5-6

25-6=19

7 0

2 years ago