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Nookie1986 [14]
3 years ago
15

Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39

Mathematics
2 answers:
dexar [7]3 years ago
4 0

The solution for the compound inequality is x \in(2,6)

Explanation:

The equations are 3.5x-10>-3 and 8x-9

To find the solution set for these compound inequalities, we need to solve the inequality.

First, we shall solve the inequality 3.5x-10>-3

Adding both sides of the equation by 10, we have,

3.5x>7

Dividing both sides by 3.5, we get,

x>2

Now, we shall solve the inequality 8x-9,

Adding both sides of the equation by 9, we have,

8x

Dividing both sides by 8, we get,

x

Thus, the solution set for the inequalities 3.5x-10>-3 and 8x-9 is x \in(2,6)

mojhsa [17]3 years ago
3 0

Answer:

The solution for the compound inequality is x \in(2,6)

Step-by-step explanation:

The answer on Edge is C

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The sum of three consecutive integers is 141. What is the smallest integer?
Sonja [21]

Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

• Let the numbers be ( n - 1 ) , n and

( n + 1 )

Given ,the sum of numbers is 141

n - 1 + n + n + 1 = 141

3n = 141

n = 141/3

n = 47

So, the numbers are

n- 1 = 47 - 1 = 46

n = 47

n + 1 = 48

And , the smallest number is 46

• Verification :-

46 + 48 + 47 = 141

Which satisfies the given condition !!

Hence , verified !!

8 0
3 years ago
In which of the number lines does the plotted point represent a number greater than -1 1/2? Check all that apply.
Nikitich [7]

Hi!

The first number line is equals to -1\frac{1}{2}

The second number line is equals to \frac{-1}{2}

The third number line is equals to -2\frac{1}{2}

The fourth number line is equals to 2

The fifth number line is equals to 0

The sixth number line is -2\frac{3}{4}

The answer is; second, fourth and fifth number lines.

<em></em>

<em>I hope, I could help.</em>

<em>Wish Good Lessons! ^-^</em>

6 0
3 years ago
Read 2 more answers
-5(1+7n)&gt;-38-2n<br><br> Solve
Dvinal [7]
This is what I got for it if it helps

7 0
3 years ago
A 13foot lader i upagenst a tree the bottom of the ladder is 5 feet away form the tree how high is the ladder on the tree
SCORPION-xisa [38]

Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.

Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.


Then (13 ft)^2 = (5 ft)^2 + y^2, or


169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.


Note: Please pay attention to your spelling: "lader i up agenst a tree" should be "the top of a 13-ft ladder is placed against a tree."

7 0
3 years ago
Answer choices:<br>A (3 , -4)<br>B (4 , -7/2)<br>C (-5 , 8)<br>D (5/2 , -17/4)​
zhuklara [117]

Answer: D (5/2, -17/4)

Step-by-step explanation:  Using elimination your goal is to get rid or 1 variable  so you can solve for the one that's left.  By adding the -2y and 2y you will get 0.  You will also add the 3x+x (4x) and -1+11 (10).  You have now gotten rid of the y and have 4x=10.  By dividing each side by 4 we now know x =2.5.  D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11

                                                                           2.5-2y=11

                                                                            -2y=8.5                                                                        Answer D (5/2,-17/4)                                      y=-17/4 (4.25)

4 0
2 years ago
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