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3 years ago

Five times the difference of twice a number and seven is negative twenty-five. Find the number.

Mathematics

1 answer:

Sati [7]3 years ago

4 0

The number is 1

Step-by-step explanation:

Let x be the required number

Then according to given statement

Five times the difference of twice a number and seven is negative twenty-five.

$5(2x-7) = -25$

Simplifying

$10x-35 = -25\\$

Adding 35 on both sides

$10x-35+35 = -25+35\\10x = 10$

Dividing both sides by 10

$\frac{10x}{10} = \frac{10}{10}\\x = 1$

Verification:

$5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25$

Hence,

1 is the number

Keywords: Linear equation

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The boxplot below shows salaries for CPAs and Actuaries in a town. 30 40 50 60 70 80 90 100 Salary (thousands of $) Actuary CPA

GuDViN [60]

Answer: 75%

Step-by-step explanation:

In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median) corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

5 0

3 years ago

There were 800 farmers' markets initially in the USA in 2012. In 2013, the number of farmers' markets was 1.25 times the initial

zavuch27 [327]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: it is the initial amount
b: is the growth rate
x: is the number of years
Substituting values we have:
$y = 800 * (1.25) ^ x$
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Answer:
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3 years ago

Read 2 more answers

!!!!!!!!!!!!!!!!!!!!

Andru [333]

Answer:

$f^{-1}(x)=4x+20$

Step-by-step explanation:

Given

$f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5$

Swap x and y and solve for y

$y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20$

Final answer

$f^{-1}(x)=4x+20$

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

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3 years ago

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Misha Larkins [42]

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3 years ago

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klio [65]

Answer:

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3 years ago