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3 years ago

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

Answer: Choice B

Open circle at 3. Shading to the right

========================================================

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

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-5+13=k <img src="https://tex.z-dn.net/?f=%20-%205%20%2B%2013%20%3D%20k" id="TexFormula1" title=" - 5 + 13 = k" alt=" - 5 + 1

Vikentia [17]

Use the communicative property of addition to switch to order and you get
13 - 5, so the answer is 8, or k = 8

OR

-5 + 13 = k
Combine like terms
8 = k
or
k = 8

5 0

3 years ago

I will mark brainliest to whoever gets this answer! Please help!

lisov135 [29]

Answer:

20 yd²

Step-by-step explanation:

This problem is really easy once you break it down!

First, find the area of the triangle.

$A = \frac{1}{2}bh$

b = 5 + 3 = 8

h = 4 + 4 = 8

$A = \frac{1}{2}*8*8$

$A = 32$

Now find the area of the square.

$A = lw$

$A = 4*3$

$A = 12$

The last step is to subtract.

Area of triangle - area of rectangle =

32 - 12 = 20

20 yd²

Hope this helped! :)

4 0

4 years ago

Read 2 more answers

Order the following rational numbers from least to greatest. 61%, 0.68, 2/3, 0.57, 3/5

Mashutka [201]

Answer:

Step-by-step explanation:

61% = 0.61

0.68

2/3 = 0.666

0.57

3/5 = 0.600

least to greatest : 0.57, 3/5, 61%, 2/3, 0.68

5 0

3 years ago

Marco can swim at a speed of 45 m/min. define how long it will take him to swim 200 m he solve the equation 45 times to equal 20

user100 [1]

Answer:

The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes

Step-by-step explanation:

Given as :

The speed at which Macro swim = s = 45 meter per minute

The total distance cover by Macro = d = 200 meter

Let The time taken by Macro to cover 200 m = t minutes

Now, From formula

Distance = Speed × time

Or, d = s × t

Or, t = $\dfrac{d}{s}$

Or, t = $\dfrac{\textrm 200 meter}{\textrm 45 meter per min }$

Or, t = 4.44 minutes

So, The time taken by Macro to cover 200 m = t = 4.44 minutes

Hence The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes . Answer

8 0

3 years ago

IVedle Question Help Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $45 registra

forsale [732]

Answer:

Therefore, Miranda can register for at most 3 courses.

Explanation:

If x is the number of courses in which Miranda register, the total cost for her tuition will be:

45 + 450x

Because there is a fixed cost of $45 and a cost per course of $450.

Then, this cost should be less than or equal to $1500, so we can write the following inequality:

45 + 450x ≤ 1500

Now, we can solve the inequality for x. Subtract 45 from both sides:

45 + 450x - 45 ≤ 1500 - 45

450x ≤ 1455

Divide both sides by 450:

450x/450 ≤ 1455/450

x ≤ 3.23

Therefore, Miranda can register for at most 3 courses.

7 0

1 year ago