solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]
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Answer:

0,

If you want, I can explain more into it.

Answer:

M = (-4, -5)

Step-by-step explanation:

M = (-2-6)/2 , (-10+0)/2

M = -8/2 , -10/2

M = (-4, -5)

Answer:

(-4, -5)

Step-by-step explanation:

x1 = -2 ,x2 =-6, y1= -10, y2=0

(-2-6/2 ,-10+0/2)

(-8/2, -10/2)

(-4,-5)

Answer: Choice B

[tex](6\sqrt{5}+5)i[/tex]

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Work Shown:

[tex]\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\[/tex]

This points us to answer choice B

Answer:

Step-by-step explanation:

Here is an example:

2/3 +4/5

Cross multiply

3 times 4 = 12

5 times 2 = 10

These 2 products will be added in the numerators

Now multiply denominators

3 times 5 = 15

Finally form them into a fraction

12+10/15

22/15

This method is not the original way to do it but its just how I do it quickly

Here is the original method:

2/3+4/5

Get common denominators

Multiply the first fraction (both numerator and denominator) by 5

2(5)/3(5) = 10/15

Now multiply the second fraction (both numerator and denominator) by 3

4(3)/5(3) = 12/15

Add those 2 fractions together and you should get 10/15+12/15 = 22/15

Step-by-step explanation:

⅛

In this fraction, 1 is called numerator and 8 is called denominator.

Let's say you want to add ⅛ and ⅞. Here, denominators are same, so you just add the numerator and denominator remains the same. So, it becomes (1+7)/8 = 8/8.

If the denominator is different you first make them same, by cross multipling.

Let's say you want to add ¼ and ⅔. Then you multiply the numerator and denominator of ¼ by 3 (because it is the denominator of the second fraction). So, ¼ becomes (1×3)/(4×3) = 3/12. The same goes for ⅔, you multiply the numerator and denominator by 4 (it is the denominator of the other fraction). So, ⅔ becomes (2×4)/(3×4) = 8/12. So, now you add 3/12 and 8/12 the same way you added ⅛ and ⅞ above. Add the numerator, denominator remains the same. So, answer is (3+8)/12 = 11/12.

Hope it helps!!

Range = Highest - Lowest

Range = 23,950 - 6,950

Range = 17,000

Must click thanks and mark brainliest

Answer:

The range is 17000.

Step-by-step explanation:

How you find range is by finding the difference between the maximum and minimum number from the data set.

So, the maximum number is 23950 and minimum is 6950 from the data set.

23950 - 6950 = 17000.

Answer:

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35)  75-35/30-10 would be your slope, or, 40/20, or simplified, 2.

Your slope is 2

Answer:

5 big sleds and 1 small sled

Big sled=3 children

5 big sleds=3*5

3*5=15

5 big sleds=15 children

1 small shed=2 children

15+2=17

Answer:

Graph B

Explanation:

Answer: quadrant 1

Step-by-step explanation:

the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5

Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.

I hope this helps

Answer:

25.47368421

Step-by-step explanation:

just use a calculator

Answer:

291 cm³

Does the answer help you?

This is a great riddle to get people thinking, because it's not an obvious answer!

River A, you have: a fox, a goose, and a bag of corn.

So, you've probably gone through this looking for some way to bring one of them over, but if she takes the cornmeal, the fox will eat the goose, if she takes the fox, the goose will eat the corn, and if she takes the goose, then the fox and the cornmeal will be left together (which isn't bad until you have to pick one of them to take over with the goose).

Let's start by picking one of the animals (or objects) to take over first. Because it takes two trips for things to get bad with the goose, will do it first.

We take the goose across river A, and come back to the fox and the cornmeal. Nothing bad has happened. Now we know that if we leave the goose with the fox or the cornmeal, the cornmeal or the goose will be eaten.

There is one other thing we can do! The girl can only take one thing back and forth, but she can bring something back when she takes one of them across!

This means that:

She can take the goose first and the cornmeal second, but when she takes the cormeal, she can grab the goose and bring it back with her, so now the cornmeal is across river A but the goose isn't! Then, she can drop off the gosse and grab the fox, because the fox won't do anything to the cornmeal, and then come back for the goose!

Just ask if you have an questions! :)

Answer:

See attached

Step-by-step explanation:

The points are plotted and connected to make a triangle

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]

Answer:The answer is true

Step-by-step explanation:

(I hope this helped you) :)

Answer:

Step-by-step explanation:

Circle equation:

Substitute the values to get the equation:

Answer:

(x+2.4)^2 + (y+4.8)^2 =45

Step-by-step explanation:

Answer:

In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.

So there are a total of 11 animals (5+6).

The first animal can be placed in 11 places.

The second animal can be placed in 10 places.

The third animal can be placed in 9 places.

.

.

.

The eleventh animal can be placed in 1 place. (the last spot, whatever that is)

So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.

Let me know if this  helps!

Answer:

Explanation:

Step 1

Multiply the denominator by the whole number

7 × 7 = 49

Step 2

Add the answer from Step 1 to the numerator

49 + 6 = 55

Step 3

Write answer from Step 2 over the denominator

Answer = 55/7

Answer:

55/7

Step-by-step explanation:

To convert 7 6/7 to an improper fraction

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

[tex]\pi / 2[/tex]

That's just the equivalent to 90 degrees in radians.

Answer:

678.24 in³

Step-by-step explanation:

V=hπr²

V=8(9)π

V=72(3.14)

V=226.08

Multiply by 3.

226.08*3=678.24

I hope this helps!

pls ❤ and give brainliest pls

Answer:

In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.

See the attached image for step by step explanation of the final probability

[tex]\large\mathcal{\red{ \implies \: 2 \: \pi \: {r}^{2} \: + \: 2 \: \pi \: r \: h}}[/tex]

Option ( C ) is the correct answer.

Answer:

Step-by-step explanation:

4x*(2x - y) - 3x(x - 2y) - 2x + 1  

Use distributive property

= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1

= 8x² - 4xy - 3x² + 6xy - 2x + 1

= 8x² - 3x² - 4xy + 6xy - 2x + 1

Combine like terms

= 5x² + 2xy - 2x + 1

Substitute  x = -1  & y = 2

= 5(-1)² + 2*(-1)*2 - 2(-1) + 1

= 5*1 - 4 + 2 + 1

= 5 - 4 + 2 + 1

= 4

Answer:

When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.

Answer:

It will always be less than both.

Step-by-step explanation:

Multiplying by something smaller than 1 will always make the result smaller, so taking something like

0.8⋅0.5 means that we are taking half of 0.8

OR 45 of 0.5 (same thing)

either way it makes it smaller, which means we will get something smaller than both.

Answer:

Does the answer help you?

[tex]\\ \sf\longmapsto Sin\Theta=\dfrac{P}{H}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{49}{52}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.94[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin71°[/tex]

[tex]\\ \sf\longmapsto \Theta=71°[/tex]

[tex]\\ \sf\longmapsto cos19°[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.9[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin70[/tex]

[tex]\\ \sf\longmapsto \Theta=70°[/tex]

[tex]\\ \sf\longmapsto cos20°[/tex]

Answer:

Step-by-step explanation:

Let the coordinates of point B are (x, y).

Since the rotation is clockwise the angle measure between OA and OB is -60° (IV quadrant).

The distance between A and B is:

Since OA = OB = 15 units and AOB is 60° angle the triangle OAB is equilateral. Hence AB is same as OA and OB, so AB = 15 units.

Answer:

x = 1

Step-by-step explanation:

5x - (4x - 1) = 2

Let's get rid of the parenthesis

Multiply whatever is in the parenthesis by -1 since there is a minus sign before it

5x - 4x + 1 = 2

Move common terms to one side, so subtract 1 from both sides

5x - 4x + 1 = 2

           -  1  - 1

5x - 4x = 1

Subtract the 5x by 4x

x = 1

Answer:

x = 1

Step-by-step explanation:

5x - (4x - 1) = 2

5x - 4x + 1 = 2  {Distribute property  (-1) is distributed with 4x  and (-1)}

Combine like terms

x + 1 = 2

Subtract 1 from both sides

x = 2 - 1

x = 1