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3 years ago

What's one third multiply 3

Mathematics

2 answers:

allsm [11]3 years ago

7 0

Simple! 1/3 times 3 equals 3/3, or 1.

ollegr [7]3 years ago

5 0

1/3*3/1
Multiply
Final answer: 1

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Which of the following is the solution set for the conjunction –6 < 4x + 2 < 6? x>−32 and x<32 x >–2 and x < 1

alisha [4.7K]

$-6$

<em><u>Solution:</u></em>

<em><u>Given conjunction is:</u></em>

$-6$

We have to find the solution set

<em><u>Let us solve the given conjuction</u></em>

$\mathrm{If}\:a$

Therefore,

$-6$

<h3><em><u>Let us first solve -6 < 4x + 2</u></em></h3>

$-6 < 4x + 2$

Switch the sides by flipping the inequality symbol

$4x+2>-6$

$\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\\\4x+2-2>-6-2\\\\\mathrm{Simplify}\\\\4x>-8\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}>\frac{-8}{4}$

$x>-2$

<h3><u><em>Now let us solve 4x + 2 < 6</em></u></h3>

$4x+2$

$\mathrm{Combine\:the\:intervals}$

$x>-2\quad \mathrm{and}\quad \:x$

$Merge\:Overlapping\:Intervals$

$-2$

<h3><u>Thus the solution set for –6 < 4x + 2 < 6 is:</u></h3>

$-6$

3 0

3 years ago

Which values are solutions to the inequality square root of x is less than 8? A. 55 B. 8 C. -8 D. 4 E. 65 F. -64

Dima020 [189]

9514 1404 393

Answer:

A. 55

B. 8

Step-by-step explanation:

We want ...

√x < 8

x < 8² . . . . . square both sides

x < 64

In order for the inequality to make any sense, we must also have ...

0 ≤ x

So, the solution space is ...

0 ≤ x < 64

Only answer choices A (55) and B (8) are in that range.

4 0

3 years ago

Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked f

Vlada [557]

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

<h3>How to determine the population of squirrel?</h3>

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55