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4 years ago

Help me please! i’m very behind.

Mathematics

1 answer:

larisa [96]4 years ago

4 0

Answer:

A number is larger than 5 --> x > 5

A number is not less than 5 --> x ≥ 5

A number is at most 5 --> x ≤ 5

A number is below 5 --> x < 5

Step-by-step explanation:

Explaining each choice:

"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.

"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.

"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.

"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.

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If y = -x and x + 6y = 30, what is the<br> value of x?

jekas [21]

Answer:

x = -6

Step-by-step explanation:

y = -x equation 1

x + 6y = 30 equation 2

using equation 1 in equation 2 we have:

x + 6(-x) = 30

x - 6x =30

-5x = 30

x= -30/5

x= -6

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3 years ago

The rabbit population in Scott County, which is currently at 2,900 rabbits, is increasing by

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Answer:

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Step-by-step explanation:

This problem deals with exponential growth.

Final value: F

Present (initial) value: P

Rate of growth: r

Time in years = t

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3 years ago

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3 years ago

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Suppose 42 gallons of water came out of a pipe in 6 minutes. What was the rate in gallons per minute?

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3 years ago

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A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun.

ivanzaharov [21]

Answer:

a)109 of the surveyed households only own a hand gun and do not support the ban on hand guns.

b)328 of the surveyed households do not own a gun and support the ban on hand guns

c )112 of the surveyed households do not own a gun and do not support the ban on handguns.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents those who own a hand gun.

-The set B represents those who own a rifle

-The set C represents those who support the ban of handguns.

-D represents those who do not own a gun and do not support the ban on hand guns.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which $a$ are those that only own a hand gun, $A \cap B$ are those who own both a handgun and a rifle, $A \cap C$ are those who own a hand gun and support the ban on handguns, and $A \cap B \cap C$ are those who own both a hand gun and a rifle, and also support the ban on hand guns.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

In which $b$ are those who only own a rifle, and $B \cap C$ are those who own a rifle and support the ban on handguns.

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

In which $c$ are those who support the ban on hand guns and do not own any handguns.

This diagram has the following subsets:

$a,b,c,D(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

There were 1000 households surveyed, so:

$a + b + c + D + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1000$

We start finding the values from the intersection of three sets.

Solution:

48 own both a hand gun and a rifle and also support the ban on hand guns.

$A \cap B \cap C = 48$

70 own a hand gun and support the ban on hand guns:

$(A \cap C) + (A \cap B \cap C) = 70$

$A \cap C = 70 - 48$

$A \cap C = 22$

206 own a rifle but no hand gun and do not support the ban on hand guns.

$b = 206$ .

136 own both a hand gun and a rifle:

$(A \cap B) + (A \cap B \cap C) = 136$

$A \cap B = 136 - 48$

$A \cap B = 88$

493 supported the ban on hand guns.

$C = 493$

437 own a rifle:

$B = 437$

267 own a hand gun:

$A = 267$

a) How many of the surveyed households only own a hand gun and do not support the ban on hand guns?

This is the value of $a$ , that we can find from the following equation:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$267 = a + 88 + 22 + 48$

$a = 267 - 158$

$a = 109$

109 of the surveyed households only own a hand gun and do not support the ban on hand guns.

b) How many of the surveyed households do not own a gun and support the ban on hand guns?

This is the value of $c$ , that we can find from the following equation:

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$493 = c + 22 + (B \cap C) + 48$

Here, we also have to find $B \cap C$ , that are those who own a rifle and support the ban on hand guns. We can find this from the following equation:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$437 = 206 + (B \cap C) + 88 + 48$