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Elena-2011 [213]
3 years ago
10

The middleweight division in wrestling is centered at 140 pounds. Deviation from that must be less than 15 pounds either way. Wr

ite and solve the Absolute value inequality. What is the range of the possible weights for the lightweight division?
Mathematics
1 answer:
hichkok12 [17]3 years ago
8 0

Answer: 125lb < M < 155 lb

Step-by-step explanation:

The mean mass is 140 lb, and the deviation must be less than 15 pounds (exactly 15 is not accepted).

Then (140lb + 15lb) is not alowed, and (140lb - 15lb) is not alowed.

Then we can define M = mass.

We have the two equations:

M < 140lb + 15lb

M < 155lb

And

M > (140lb - 15lb)

M > 125lb

If we write these two relations togheter, we get:

125lb < M < 155 lb

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Amiraneli [1.4K]

A set of ordered pairs is called a relation. The set of all first components of the ordered pairs of a relation is the domain of the relation, and the set of all second components of the ordered pairs is the range of the relation. :)

4 0
3 years ago
Does anyone have the rest of the test? Surface Area and Volume Unit Test????
jarptica [38.1K]

Answer:

B) 112 cm²; 336 cm²

Step-by-step explanation:

The lateral area would be without the bases. In this case, the bases are the top and the bottom

Lateral Area

(2)(2.54)(8) = 40.64

(2)(2.54)(14) = 71.12

Add together and get 111.76 cm²

Surface Area

LA + Bases

<em>Bases</em>

(2)(14)(8) = 224

Add with lateral area and get 335.76 cm²

8 0
3 years ago
What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120
dem82 [27]

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

so

using proportion

Find the area of a sector formed by a central angle that measures 120°

81π/360°=x/120°

x=120°*81π/360°

x=27π cm²

5 0
3 years ago
What is a solution to 4x+6&lt;(with a line under it ) 18
JulsSmile [24]

Answer:

\textbf{$x \in (-\infty, 3] $}\\

Step-by-step explanation:

\textup{Given:}\\$ 4x + 6 $\textup{Subtracting $6$ from both the sides }\\$ 4x \leq 18 - 6 \hspace{5mm} (=12) $\\\textup{Dividing by $4$ on both the sides: \hspace{15mm} [Note that the sign of the inequality changes only when we divide it by a negative number]}\\$$ x \leq 3 $$\\\textup{$x$ can be any real number less than or equal to 3.}\\$ \iff x \in R^- \cup \{a : 0 \leq a \leq 3\} $

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Rearrange the first inequality to match the second inequality and fill in the blanks for the variables. Then select the appropri
balandron [24]

Answer:

The solution set would be all real numbers

Step-by-step explanation:

Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.

In this case it would be:

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(Four plus seven is 11)

11x + 1 < 11x + 2

We can see that x is eliminated, because we change the sign on 11 to be -11:

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This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers

3 0
3 years ago
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