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Angelina_Jolie [31]

3 years ago

8

Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.

1 answer:

ad-work [718]3 years ago

4 0

The right answer for the question that is being asked and shown above is that: "B. Yes, because the sum of any two multiples of 4 is also a multiple of 8." <span>the set of multiples of 4 closed under addition</span>

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Hey how would you put this in a system equation and using the Elimination method. Thank you❤

denpristay [2]

$\bf \begin{cases}
t=tacos\\
m=milk
\end{cases}~\hspace{7em}
\begin{cases}
\stackrel{1~taco}{t}+\stackrel{1~glass}{m}=\stackrel{\$}{2.10}\\[0.8em]
\stackrel{2~tacos}{2t}+\stackrel{3~glasses}{3m}=\stackrel{\$}{5.15}
\end{cases}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\begin{array}{llll}
t+m=2.10&\stackrel{multiplied~by}{\times -3}\implies &\stackrel{notice}{-3t\stackrel{\downarrow }{-3m}=-6.3}\\[0.8em]
2t+3m=5.15&\implies &~~2t+3m=5.15\\
\cline{3-3}
&&-t+0m=-1.15
\end{array}
\\\\[-0.35em]
~\dotfill$

$\bf -t=-1.15\implies t=\cfrac{-1.15}{-1}\implies \blacktriangleright t=1.15 \blacktriangleleft
\\\\\\
\stackrel{\textit{and now substituting on the 2nd equation}}{2(1.15)+3m=5.15}\implies 2.3+3m=5.15
\\\\\\
3m=2.85\implies m=\cfrac{2.85}{3}\implies \blacktriangleright m=0.95 \blacktriangleleft$

notice, we used -3 in the multiplication to <u>eliminate</u> the m's.

6 0

3 years ago

Read 2 more answers

A Fruit Stand sells 6 oranges for $3 and 3 grapefruits for $2.40 Lionel buys 10 oranges and 11 grapefruit how much Lionel spend

lina2011 [118]

$3/6 = .50 per orange
$2.40/3 = .80 per grapefruit

10(.50) + 11(.80) =
$5.00 + $8.80 = $13.80

8 0

4 years ago

Read 2 more answers

What is the graph of 4x - 3y = 12?<br><br> urgents please graph

Harlamova29_29 [7]

4x-3y=12

thts the anser

6 0

4 years ago

There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n

Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

<u>1) Translate the information into equations</u>

"One is 7 more than twice the other"

⇒ $y=2x+7$

"The sum of the numbers is 43"

⇒ $x+y=43$

<u>2) Use substitution to solve for the smaller number</u>

$x+y=43$

Plug the equation $y=2x+7$ into the above equation

$x+(2x+7)=43\\x+2x+7=43\\3x+7=43$

Subtract both sides by 7

$3x+7-7=43-7\\3x=36$

Divide both sides by 3 to isolate x

$\frac{3x}{3} = \frac{36}{3} \\x=12$

Therefore, the smaller number equates to 12.

<u>3) Use substitution to solve for the greater number</u>

$x+y=43$

Plug in x as 12

$12+y=43$

Subtract both sides by 12 to isolate y

$12+y-12=43-12\\y=31$

Therefore, the greater number equates to 31.

I hope this helps!

3 0

3 years ago

What is the value of expression below?

Scilla [17]

Answer:

B)1.1

Step-by-step explanation:

I'm 100% sure

8 0

3 years ago

Read 2 more answers