Anita and Leah each had a bottle of water. The fraction of the bottle that Anita drank is represented by point A on the number line. Leah drank
1
4
less of her bottle than Anita drank.

the answer is

y≥2x/5+2

Step-by-step explanation:

we moved the y to the right site and the -10 to the left site

so we had

2x+10≤5y

and then we devided by 5

2x/5+10/5≤y

y≥2x/5+2

hopefully its correct

Answer:  Choice D

[tex]y \ge \frac{2}{5}x +2\\\\[/tex]

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Work Shown:

[tex]2x - 5y \le -10\\\\-5y \le -2x-10\\\\y \ge \frac{-2x-10}{-5} \ \text{ ... see note1 below}\\\\y \ge \frac{-2x}{-5} - \frac{10}{-5}\\\\y \ge \frac{2}{5}x +2 \ \text{ ... answer is choice D}\\\\[/tex]

Note1: when dividing both sides by a negative number, the inequality sign flips.

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Here's another approach that doesn't involve dividing both sides by a negative number.

[tex]2x - 5y \le -10\\\\2x \le -10+5y\\\\2x +10\le 5y\\\\5y \ge 2x+10 \ \text{ .... see note2 below}\\\\y \ge \frac{2x+10}{5}\\\\y \ge \frac{2x}{5} + \frac{10}{5}\\\\y \ge \frac{2}{5}x +2\\\\[/tex]

Note2: I swapped the left and right sides. Doing this swap means that the inequality sign must flip as well.

Answer:

Raul is wrong because when he divided by 6 in stead of -6

correct awnser is...  X= -12

Step-by-step explanation:

just change the second part to dividing by -6

Answer:

[tex]-x^{2} +2x-3[/tex]

Answer :

-2x^2 + 2x - 3

Answer:

x = 45

Step-by-step explanation:

x + 45 + 2x = 180

3x + 45 = 180

3x = 135

x = 45

Answer:

x = 45

Step-by-step explanation:

We know that the three angles of a triangle add up to 180. So we can add all the points equal to 180 to find the value of x.

a + b + c = 180

45 + x + 2x = 180

Combine terms.

45 + 3x = 180

Subtract 45 from both sides.

3x = 135

Divide both sides by 3 to get

x = 45.

To prove this, put x into the original addition of the angles.

45 + x + 2x = 180

Substitute 45 into x.

45 + 45 + 2(45) = 180

Multiply 2 and 45.

45 + 45 + 90 = 180

Add terms.

180 = 180.

Answer:

x=9

Step-by-step explanation:

Answer:

Dont we all

Step by step Explanation

Answer:

X= 5i-2, x=5i-2

Step-by-step explanation:

Step-by-step explanation:

[tex] {x}^{2} - 4x + 29 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{4± \sqrt{ - 100} }{2} \\ x = \frac{4±10i}{2} \\ x = 2±5i \\ x = 2 + 5i \: \: or \: \: x = 2 - 5i[/tex]

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The diagram is shown below

Point A is located at (0,8). It's exactly 8 units away from the origin (0,0).

Let's say point C is at the origin. That would mean segment AC is 8 units long.

Divide segment AC into four equal parts. Each part is 8/4 = 2 units long.

Move to point A(0,8) and then drop down 2 units to arrive at (0,6). Use your straightedge to draw a horizontal line from (0,6) until you reach the diagonal line AB. Mark point P on the diagonal line. Refer to the diagram to see what I mean.

Now move back to (0,6) and drop down another 2 units to get to (0,4). Draw a horizontal line through this point until you reach the diagonal line. Mark point Q on the diagonal line.

Repeat this process until you get to the origin. You'll find that segment AB has been cut into four equal parts. This works because we've divided AC into four equal parts, which helps divide AB into four equal parts. The two concepts are directly connected. More specifically, we're using similar triangles to help do the subdivisions here.

So this trick is very handy if you have a diagonal road you're trying to divide into four (or any number) equal parts. It's also useful if you are dealing with fencing and you want to divide which if your friends will take care of which portions of the fence. Those are just two examples of real world applications.

Answer:

1.    x > -3

2.    8 > 0.5

3.    x < -4

6. x < 2

7. Yes

8. No

9. Yes

10. Yes

1. p=packs of gum

inequality = 35 > 10+2p

Benny can buy 6 packs of gum.

Answer:

(-9/2t + 3) +( 7/4t + 33) = -11/4t + 36

5(2t + 1)+(-7t +28) = 3t+ 33

Step-by-step explanation

Those are the ones i could solve hope this helps!

1. Problem  

(-9/2t + 3) +( 7/4t + 33)

-9/2t + 7/4t

-18/4t +7/4t= -11/4t

3+ 33= 36

-11/4t + 36

2. Problem

5(2t + 1)+(-7t +28)

10t + 5 + ( -7t +28)

10t - 7t= 3t

5+ 38= 33

Answer:

Option B) His teachings became government philosophy.

Answer:

His teachings became government philosophy ..

hope it is helpful to you.

Answer:

B.

First you find the square root of 72 but it has none so instead you find the what multiplies to 72 but is still a perfect square. That is 9 times 8. The square root of nine is 3 so we leave that outside of the radical, and leave the 8 in there. Then we go to x. Exponents follow a different rule and you cannot get the square root of them so find if it's divisible by 2 by taking away 1 from nine making it x^8 and x. Then divide the 8 by 2 and you get x^4, leave the remaining single x in the radical. Bring that behind the 3 on the outside and do the same with the y. Now the y can be divided by 2 so that will be 8. Now there should b 3x^4y^8(radical sign)8x

Answer:

[tex]6x {}^{4} y {}^{8} \sqrt{2x} [/tex]

(accidently put "x" for y^16 when showing work)

Answer:

ancho de ese culotote

Step-by-step explanation:

Answer:

y=-f(x) is a reflection over the x axis of y=f(x) this will make the graph like this down below.

Step-by-step explanation:

If this helps please mark as brainliest

Answer: BCD

Step-by-step explanation:

A is incorrect since there is no angle Y to exist

Hope this helps

Answer:

238

Step-by-step explanation:

Important note: ∠FAH is an inscribed angle and arc mFGH is it's intercepted arc

opposite angles in a quadrilateral formed inside of a circle area supplementary

Supplementary meaning that they add up to equal 180

So 13x + 15 + 8x - 3 = 180

We now solve for x

step 1 combine like terms

13x + 8x = 21x

15 - 3 = 12

12 + 21x = 180

step 2 subtract 12 from each side

12 - 12 cancels out

180 - 12 = 168  

21x = 168

step 3 divide each side by 21

21x / 21 = x

168 / 21 = 8

we're left with x = 8

Now we substitute 8 for x in 13x + 15

13 ( 8 ) + 15

13 * 8 = 104

104 + 15 = 119

So ∠FAH = 119

Recall that an included angle is equal to half the measure of its intercepted arc.

so arc mFGH = 2 (119)

2 * 119 = 238

Therefore your answer is A

Answer:

Sin(A) = 42/47

Cos(A)=21/47

Tan(A)=42/21=2

Answer: There are two solutions and they are

theta = 135

theta = 225

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Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

theta = 135

theta = 225

You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

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I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

cos(225) = -0.70710678

The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

Half of the text is covered...

Answer:

Good Luck!

Step-by-step explanation:

You would add 16 to both side in the attempt of completing the square

Step 1: Move any constant number (this case, it's 35) to the other side

Step 2: You will have a format of ax2 + bx = c, where your a = 1, b = 8, and c = 35

*a must always be 1*

Step 3: Divide b by 2 and then square that number. Your b = 8, so 8/2 is 4. Squaring 4 gives you 16.

Hence, that's why you add 16 to both side from your question.

Answer:

1,600 ml

there is 20 bottles all together in both boxes. Multiply 20 times 80 to get 1,600 ml in all

Answer:

c

Step-by-step explanation:

Answer:

it might be 7yd^3 im not to sure.

Step-by-step explanation:

Answer:

4 books

Step-by-step explanation: