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3 years ago

Express the ratio 2 to 3 and 8 to 9 in lowest terms

1 answer:

8 0

$\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}$

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The store price of a jeans is $50. If the discount given by the store is 45%, calculate the discount amount offered by the store

nata0808 [166]

Step-by-step explanation:

50+45%=72.5

50-45%=27.5

50×45%=22.5

7 0

2 years ago

Read 2 more answers

Consider the compound inequality x < 4 and x>a. If a=4 and the compounding word were "or" instead of "and",what would the

FinnZ [79.3K]

Answer:

We have:

x < 4 AND x > a.

if a = 4 and we use an "or" instead of the "and" we have:

x < 4 or x > 4.

This is:

"x is larger than 4 or smaller than 4."

Then the solution of this is all the real numbers except the value x = 4.

The set of solutions can be written as:

{xI x ∈ R \ [4]}

Where this reads:

"x belongs to the set of the reals minus the number 4".

Or we also could write it as:

x ∈ (-∞, 4) ∪ (4, ∞)

Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.

4 0

3 years ago

Consider the function and its inverse.

Ber [7]

Answer:

The domain of $f(x)$ is restricted to $x\leq 0$ , and the domain of $f^{-1}(x)$ is restricted to $x\geq 4$ .

Step-by-step explanation:

From Function Theory we know that domain of a function is the set of values such that an image exist. Let $f(x) = x^{2}+4$ and $f^{-1}(x) = \sqrt{x-4}$ the function and its inverse, respectively.

At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.

But domain of its inverse is restricted to every value of x so that $x-4 \geq 0$ , which means that $x\geq 4$ .

Finally, we concluded that following answer offers the best approximation to our result:

The domain of $f(x)$ is restricted to $x\leq 0$ , and the domain of $f^{-1}(x)$ is restricted to $x\geq 4$ .

6 0

2 years ago

Jennifer used 0.42 gallons of paint to completely cover a square wall with an area of 168 square feet. Which measurement is clos

Marina86 [1]

Answer:

The answer to this question is: 12.96 ft ≈ 13 ft

Step-by-step explanation:

Data

Area 168 ft²

Length = ?

Volumen = 0.42 gallons

But we do not need the volume of paint because we know that the wall is squared-shape.

Only we need to know the formula to obtain the area of an square.

Formula area = length²

So 168 = length²

Finally √168 = length

length = 12.96 ≈ 13 ft

6 0

3 years ago

Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the i

SashulF [63]

Answer:

In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.

In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.

In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.

Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.

Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.

So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.

Step-by-step explanation:

3 0

2 years ago