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2 years ago

What fraction is equivalent to 123.5℅

1 answer:

8 0

$123.5\%= 123 \frac{5}{100} \% =123\frac{1}{20}\%= \\\\ = \frac{2.461}{20}\%= \frac{2.461}{20}*\frac{1}{100}= \\\\ =\boxed{\frac{2.461}{2.000}}$

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A store manager records the total visitors and sales, in dollars, for 10 days. The data is shown in the scatter plot. What concl

pickupchik [31]

Answer:An increase in visitors is correlated with an increase in sales.

Step-by-step explanation:

From the given scatter plot we can see that variables are positively correlated because they are moving in the same direction.

Since we know that the positive correlation is a relationship between two variables such that they increase or decrease together.

Since, the two variables given her is " number of visitors" and "Total sales"

Therefore, based on the given data it can be observed that "An increase in visitors is correlated with an increase in sales."

3 0

3 years ago

The average housecat sleeps about 2/3 of the day. Most people sleep about 1/3 of a day. Do housecats or people sleeper a greater

Alenkasestr [34]

Answer:

House cats sleep a greater fraction of the day than people.

Step-by-step explanation:

We are given the following in the question:

Average time a house cat sleeps =

$\dfrac{2}{3}\text{ of a day}$

Average time people sleeps =

$\dfrac{1}{3}\text{ of a day}$

Comparison:

$\dfrac{2}{3} > \dfrac{1}{3}$

Thus, house cats sleep a greater fraction of the day than people.

5 0

2 years ago

Please, someone. Solve for x.

grin007 [14]

Combine the fractions on the left side:

9/(x + 2) + 2/(x - 2) = 1

9 (x - 2) / ((x + 2) (x - 2)) + 2 (x + 2) / ((x + 2) (x - 2)) = 1

(9x - 18) / ((x + 2) (x - 2)) + (2x + 4) / ((x + 2) (x - 2)) = 1

(9x - 18 + 2x + 4) / ((x + 2) (x - 2)) = 1

(11x - 14) / ((x + 2) (x - 2)) = 1

Recall the difference of squares identity,

a² - b² = (a + b) (a - b)

which lets us simplify the denominator on the left side as

(11x - 14) / (x² - 4) = 1

For any real numbers a and b, if a/b = 1, then a = b. This means

11x - 14 = x² - 4

which we can rearrange as

x² - 11x + 10 = 0

Factorize the left side:

(x - 10) (x - 1) = 0

Then

x - 10 = 0 or x - 1 = 0

x = 10 or x = 1

7 0

2 years ago

74.37 rounded to the nearest ten

Drupady [299]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th

riadik2000 [5.3K]

Answer:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

Step-by-step explanation:

Incomplete question:

$\angle CBD = 53^\circ$

$\angle CAB = 35^\circ$

$AB = 75$

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

4 0

2 years ago

Read 2 more answers