Alana has 100 mL of water in her water bottle. She needs to share it with 3 other students so that all 4 of them have the same amount. How much should each student have?

Answer:

B. 3 1/3 (3/2)

Step-by-step explanation:

10/3 = 3 1/3

3 1/3 / 2/3 is basically equal to 3 1/3 * 3/2 as you have to use keep change flip for dividing fractions.

Answer:

-6634

Step-by-step explanation:

all we have to do is plug in -3 everywhere m is and 5 where n is:

(5(-3))² - (2(5)-3(-3))³

(-15)² - (10+9)³

225 - 6859

-6634

Answer:

m∠4 = 38°

Step-by-step explanation:

The angle that measures 38° and ∠6 are vertical angles, which means that they are congruent, therefore m∠6 = 38°

∠6 and ∠4 are corresponding angles, which means that they are congruent, therefore m∠4 = m∠6 = 38°

Answer:

The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.

Step-by-step explanation:

2520/1 = 2520

2520/2 = 1260

2520/3 = 840

2520/4 = 630

2520/5 = 504

2520/6 = 420

2520/7 = 360

2520/8 = 315

2520/9 = 280

2520/10 = 252

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where, [tex]a_1[/tex] is first term, d is common difference.

Substitute [tex]a_1=24, d=6 \text{ and }n=500[/tex] in the above formula.

[tex]a_{500}=24+(500-1)(6)[/tex]

[tex]a_{500}=24+(499)(6)[/tex]

[tex]a_{500}=24+2994[/tex]

[tex]a_{500}=3018[/tex]

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

Answer:

A is correct

Step-by-step explanation:

Answer:

7/32

Step-by-step explanation:

Combinators. Your best friend in this scenario.

Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.

Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.

Simplifying the fraction gets you 7/32.

Answer:

7/32

Step-by-step explanation:

the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.

Answer:

25:16

Step-by-step explanation:

i think its right

Answer:

$336

Step-by-step explanation:

Find 5% of 320

320(0.05) = 16

320 + 16 = 336

The total will be $336

Answer:

The answer is: [tex]3x^2-14x+7[/tex]

which agrees with answer B) among your list of possible options.

Step-by-step explanation:

I think you forgot an "x" in the first trinomial, so, let's try that:

[tex](5x^2-5x+1)-(2x^2+9x-6)=\\= 5x^2-5x+1-2x^2-9x+6=\\=3x^2-14x+7[/tex]

Answer:

4² + 5² = x²

Step-by-step explanation:

From the picture, the height of the staircase is:

h = 20 ft -15 ft = 5 ft

And the distance between the staircase and the building is 4 ft.

A right triangle is formed, where the distance between the staircase and the building (4) and the height of the staircase (5) are the legs, and the length of the staircase (x) is the hypotenuse. Using Pythagorean theorem:

4² + 5² = x²

Answer:

What are the coordinates of the resulting figure?

✔ (0, 0), (4, 0), (4, –4), (0, –2)

Step-by-step explanation:

its C on Edge

I just took this assignment and got it right

The coordinate of the given figure is, (0, 0), (4, 0), (4, –4), (0, –2).

We have to determine the coordinates of the resulting figure.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.it can be represented by (x,y)  that is the x-value and y-value.

Therefore the value of x and y at point (0,0) is 0 and 0.

The value of x and y at point (0,2) is 0 and 2.

The value of x and y at point (4,4) is 4 and 4.

The value of x and y at point (4,0) is 4 and 0.

Therefore the coordinate of the given figure is,

(0, 0), (4, 0), (4, –4), (0, –2)

To learn more about the coordinates visit:

https://brainly.com/question/17206319

Answer:

hewo. its a perpendicular triangle. so

6²+3² will equal to KJ.

36+9=45

45 is = 3√5 because when i put three in square, thats gonna be 3×3×5 = 45.

if u have question u can ask. good luck(:

Answer:

SUBSCRIBE TO Yxng Playz

ON you tube

Answer: $735.49

Step-by-step explanation:

Given, the price of 10 tolas gold bought from American market = $553

Custom duty charge = 20%

VAT = 13%

Custom duty charge = 20% of $553

= 0.20 x 553  [we divide a perecntage to convet it into decimal]

= $110.6

VAT = 13% of $553

= 0.13 x 553

= $71.89

Selling price = Original price +Custom duty charge  + VAT

=  $553+$110.6+ $71.89

= $735.49

Hence, it should be sold at $735.49 .

Answer:

0.00324 kilometres

Step-by-step explanation:

Remember:

100 centimeters = 1 meter

1000 meters = 1 kilometer

So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!

Answer:

0.00324 km is the answer

Answer:

$44.08

Step-by-step explanation:

Answer:

$237.5

Step-by-step explanation:

You will divide 38 by .16 to get the answer.

Answer:

y = 1

Step-by-step explanation:

The horizontal asymptote is the line, horizontally, where the graph doesn't cross. In this case, the graph approaches y = 1, but never touches 1, so your answer is y = 1.

Answer: 3

Step-by-step explanation:

This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.

Draw a factor tree for each number and see what they have in common.

           Reg         Diet

               6              15

               ∧               ∧

            2   3           3  5

The GCF of 6 and 15 =  3

Each table will contain 2 cans of regular soda and 5 cans of diet soda.

Answer:

0.625

Step-by-step explanation:

divide 5 by 8 to get 0.625

Answer:

0.625

Step-by-step explanation:

Divide the numerator by the denominator

so 5÷8 which equals 0.625.

Answer:

I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)

Answer:

192

Step-by-step explanation:

y/12-5=11

y/12=11+5

y/12=16

y=16x12

y=192

Answer:

y = 192

Step-by-step explanation:

1st add 5 to both sides 12 to get 7: [tex]\frac{y}{11} =16[/tex]

then multiple both sides by 11 to isolate the y : [tex]y=192[/tex]

(11 times 16 equals 192)

Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

Answer:

Step-by-step explanation:

 To find the size of YXZ we should use some trigonometry but first let's find the length of YZ

(XZ)²+(ZY)²=(YX)²

YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]

    =4[tex]\sqrt{29}[/tex]

Answer:

[tex]\frac{12}{253}[/tex]

Step-by-step explanation:

So I would start by multiplying all the numbers on

the denominator first ----->

11 x 14 = 154

~~~

14 x 17 = 238

~~~                                    *BASICALLY: FIND THE COMMON DENOMINATOR*

17 x 20 = 340                        (this will be how u add everything at the end)

~~~

20 x 23 = 460

Now your goal is to get all of these numbers to be the same as the denominator so you can add them together at the end (get a common denominator)

**(remember when multipling the top and the bottom numbers, whatever you do to the bottom you must do to the top)**

   3                   3                    3                   3

--------- (x ?)  +  --------- (x ?)  +  --------- (x ?)  +  ---------  =

 154               238               340               460

***sorry i dont hav time to finnish but i hope this helped at least a little****

Answer:

[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex]

Step-by-step explanation:

The given limit problem is

[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}[/tex]

Left hand limit of the function is

[tex]LHL=\lim_{x\to 0^-}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0-h)}{(0-h)^2}[/tex]

[tex]LHL=\lim_{h\to 0}\dfrac{-7-h}{h^2}[/tex]

Applying limit, we get

[tex]LHL=-\infty[/tex]

Right hand limit of the function is

[tex]RHL=\lim_{x\to 0^+}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0+h)}{(0+h)^2}[/tex]

[tex]RHL=\lim_{h\to 0}\dfrac{-7+h}{h^2}[/tex]

Applying limit, we get

[tex]RHL=-\infty[/tex]

Since, LHL=RHL, therefore limit of the function exist at x=0.

Hence, [tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex].

Answer:

24 coins

Step-by-step explanation:

Start:

first pirate --> 1/2 coins

second pirate --> 3/2 coins

Next:

first pirate --> 1/2 + 3/4 = 5/4 coins

second pirate --> 3/2 - 3/4 = 3/4 coins

Next:

first pirate --> 5/4 - 5/8 = 5/8 coins

second pirate --> 3/4 + 5/8 = 11/8 coins

If 5/8 coins is 15, then 1/8 coins is 3, and 8/8 coins is 24 coins.

Answer:

24 coins

Step-by-step explanation:

im to lazy to explain

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

FG = 1/2*FI

FH = 1/2*FE

HG = 1/2*EI

This answer is right! took the test on FLVS and confirmed it :)

Answer:

(4, 7)     (8, 9)    

(2, 3)     (6, 5)

Step-by-step explanation:

The definition of a parallelogram is a quadrilateral that has two pairs of opposite equal length parallel sides, including equal opposite angle measurements

To simplify the task, we plot the  points on a graph paper for the parallelogram ABCD to get the following points;

B (4, 7)     A (8, 9)    

C (2, 3)     D (6, 5)

The length of the opposite sides AB and CD are;

Length AB = √((9 - 7)² + (8 - 4)²) = √20 = 2·√5

Length CD = √((3 - 5)² + (2 - 6)²) = √20 = 2·√5

The length of the opposite sides AC and BD are;

Length AD = √((9 - 5)² + (8 - 6)²) = √20 = 2·√5

Length BC = √((7 - 3)² + (4 - 2)²) = √20 = 2·√5

The slope of segment AB is (9 - 7)/(8 - 4) = 2/4 =1/2

The slope of segment CD is (5 - 3)/(6 - 2) = 2/4 =1/2

Therefore, since the slopes of segments AB and CD are equal, segments AB and CD are parallel

Similarly, we have;

For segment AD, slope = (9 - 5)/8 - 6) = 4/2 = 2

For segment BC, slope = (7 - 3)/4 - 2) = 4/2 = 2

Therefore, the slopes of segments AD and BC are equal, segments AC and BD are parallel.

Answer:

[tex]A(x) = 243[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^3 - 9x[/tex]

[tex]Interval: (12,6)[/tex]

Required

Determine the average rate of change

Average rate is calculated as thus;

[tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]

In this case; b = 12 and a = 6

Calculating f(12)

[tex]f(12) = 12^3 - 9 * 12[/tex]

[tex]f(12) = 1728 - 108[/tex]

[tex]f(12) = 1620[/tex]

Calculating f(6)

[tex]f(6) = 6^3 - 9 * 6[/tex]

[tex]f(6) = 216 - 54[/tex]

[tex]f(6) = 162[/tex]

Substitute 12 for b and 6 for a in [tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]A(x) = \frac{f(12) - f(6)}{12 - 6}[/tex]

Substitute values for f(6) and f(12)

[tex]A(x) = \frac{1620 - 162}{12 - 6}[/tex]

[tex]A(x) = \frac{1458}{ 6}[/tex]

[tex]A(x) = 243[/tex]