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3 years ago

Complete the statement describing the solution set to this compound inequality.

Mathematics

2 answers:

Likurg_2 [28]3 years ago

6 0

Answer:

I believe it is D. at least -4 and also D. greater than 8

Step-by-step explanation:

ella [17]3 years ago

4 0

The answer is d it’s greater than 8 sorry if it’s wrong

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What is 7^7 (7 to the power of 7).

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2 years ago

Blank over five plus eighteen over twenty equals thirty over twenty

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3 years ago

Read 2 more answers

Marcus ate half of a pizza on Monday night. He then ate one third of the remaining pizza on Tuesday. Which of the following expr

Strike441 [17]

Option E

The expression show how much pizza Marcus ate in total is:

$Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}$

Solution:

Given that,

Marcus ate half of a pizza on Monday night

He then ate one third of the remaining pizza on Tuesday

Therefore,

$Monday\ night = \frac{1}{2}\\$

Remaining is given as:

$Remaining = 1 - \frac{1}{2} = \frac{1}{2}$

He then ate one third of the remaining pizza on Tuesday

Therefore,

$Tuesday = \frac{1}{3} \times \frac{1}{2}$

Thus expressions show how much pizza Marcus ate in total is:

Total = monday night + tuesday

$Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}$

Thus Option E is correct

3 0

4 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$