MATHEMATICS MIDDLE SCHOOL

If R is the set of all integers, choose the set S that will make the following statement false.S ⊆ R
1 S = {−2, −1, 0, 1, 2}
2 S = {0, 0.5, 1, 1.5}
3 S = {0}
4 S = {1, 2, 3, 4}

Answers

Answer 1

Answer:

Answer: 1 S = {−2, −1, 0, 1, 2}

Step-by-step explanation:

Integers are whole numbers that could be positive or negative .

This means that

R = { ... -3 ,-2 , -1 , 0 , 1 , 2 , 3 , 4 , ...}

S ⊆ R means that all elements of S is also an element in R , therefore :

S = { -2, -1 ,0, 1 , 2 ...}

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44. A store ordered 28 boxes holding 12 banana muffins each and 5 boxes holding6 blueberry muffins each. What was the total number of muffins the store
ordered?

Answers

Answer:

366 muffins

Step-by-step explanation:

multiply the boxes times the amount of muffins in each box

28*12

336

5*6

add the number of muffins together

336+30

366

Complete the equation of the line through (-9,-7) and (-6,-3)

Answers

The equation of the line through (-9, -7) and (-6, -3) is $y+3=(4)/(3)(x+6)$

Solution:

Given, two points are (-9, -7) and (-6, -3)

We have to find that a line that passes through the given two points.

First let us find the slope of the line that passes through given two points.

The slope of the line "m" is given as:

$\mathrm{m}=(y_(2)-y_(1))/(x_(2)-x_(1))$

$\text { where, }\left(x_(1), y_(1)\right) \text { and }\left(x_(2), y_(2)\right) \text { are two points on line. }$

So slope of our line $=(-3-(-7))/(-6-(-9))=(-3+7)/(-6+9)=(4)/(3)$

Now, let us find the line equation using point slope form:

$\mathrm{y}-\mathrm{y}_(1)=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_(1)\right) \text { where } \mathrm{m} \text { is slope and }\left(\mathrm{x}_(1), \mathrm{y}_(1)\right) \text { is point on the line. }$

By substituting the values we get,

$\text { Then, line equation } \rightarrow y-(-3)=(4)/(3)(x-(-6))$

$y+3=(4)/(3)(x+6)$

Hence, the line equation is $y+3=(4)/(3)(x+6)$

So I have no idea how this even works so yeah can somebody please help me

Answers

I'll do the first one to get you started.

We want to compare the two fractions 3/4 and 7/8. For now, let's assume they are equal. Chances are they aren't, but we'll assume they are until we know otherwise.

So we have this equation 3/4 = 7/8

Let's cross multiply to get 3*8 = 4*7. Check out the attached image to see what I mean about "cross multiply" if you're not sure.

The equation 3*8 = 4*7 turns into 24 = 28 after you simplify each side. Clearly both sides aren't the same so the equation is not true. Meaning that the original equation 3/4 = 7/8 is not true. The right side of 24 = 28 is larger, so the right side of 3/4 = 7/8 is larger

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Here's how it looks like listed out

3/4 = 7/8

3*8 = 4*7

24 = 28

The right side is larger, so we must change all the equal signs to less than signs

3/4 < 7/8

3*8 < 4*7

24 < 28

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So that is why 3/4 is less than 7/8

Alternatively, you can use your calculator to find that 3/4 = 0.75 and 7/8 = 0.875; comparing 0.75 and 0.875, we see that 0.875 is larger. Therefore 7/8 is larger.

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Final Answer: A less than sign

Simplify: (22 + 34)−2 A) (56)^−2 B) 852 C) 1 7225 D) 1 85

Answers

Answer:

A) (56)^−2

Step-by-step explanation:

(22 + 34)^−2

Parentheses first

22+34= 56

56 ^-2

The answer would be A
U have to do the parentheses first so that’s how you get 56

Answer this challenge question thanks

Answers

if you ask what is x it's 8 and if you ask the D it's 86.

A typical stone on the lowest level of the great pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. what was the volume of the average stone? How much did one cubic foot of this stone weigh?