Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

Answer:

The value of x would be 23

Step-by-step explanation:

You must first find the angles of triangle CDE. So to find angle C you must know that a straight line is equal to 180 degrees, 180-117=63 So angle C would  be 63 degrees. Angle D is congruent to Angle B so Angle D would equal 24 Degrees. Then to find the angle of Angle E simply subtract 87 from 180 (You Get 87 From Adding 24 and 63), 180-87=93. Know that you know that Angle E is 93 Degrees set up the equation, 4x+1 = 93 SOLVE.

4x+1=93

4x = 92

x = 23.

Answer:

4x

Step-by-step explanation:

2x(-1+3)

distributive property: -2x+6x

-2x+6x=4x

Answer:

Step-by-step explanation:

Your answer

Price = 22$

TIP IN PRICE = 28.6$

Tip in discount = 30%

Mark it as Brainlist answer. Follow me.

Answer

Step-by-step explanation:

-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh

Answer:

x = -4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

8x - 10x = 5 + 3

-2x = 8

x = 8/-2

x = -4

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

Answer:

Step-by-step explanation:

[tex]V=h\pi r^2\\ \\ h=7\ and\ r=3\\ \\ V=8(3^2)\pi\\ \\ V=72\pi cm^3\\ \\ V\approx 226.2cm^3[/tex]

Answer:

x=10

Step-by-step explanation:

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

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Answer:

Here it is

Step-by-step explanation:

#1. 3:4

#2. 3 to 4

#3. 3/4

Answer:

1e+18

Step-by-step explanation:

Answer:

The fraction of space taken by coral is 3/20 in the aquarium.

Step-by-step explanation:

The fraction of space taken by coral is C=3/8of2/5 in the aquarium.

•C=3/8.2/5=6/40=3/20

The fraction of space taken by coral is 3/20 in the aquarium.

I hope it's helpful!

Answer:

0.2y+10

Step-by-step explanation:

Answer:

We have this equation:

0.4y - 0.2y + 10 = 11.8

You can simplify

0.2y + 10 = 11.8

Then, you can substract 10 in both sides:

0.2y = 11.8 - 10

0.2y = 1.8

You can now divide right and left side by 0.2 and get y:

0.2y/0.2 = 1.8/0.2

y =  14

Answer:

Third option is the correct answer

Step-by-step explanation:

[tex] \angle XYW\cong \angle ZYW[/tex]

Answer:

Step-by-step explanation:

Angle XYW is congruent to angle ZYW

Answer:

y= -1/2x+1

Step-by-step explanation:

Answer:

The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question, we have that:

Mean of 32000, Standard deviation of 3000.

Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750

This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.

Value of k:

This is k standard deviations from the mean. k is given by:

[tex]k = \frac{6750}{3000} = 2.25[/tex]

Proportion:

The percentage is:

[tex]p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25[/tex].

So the proportion is 0.8025

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

Answer:

a.+37 b.-19 c.+130 d.+43

Step-by-step explanation:

a.72-35 b.21-40 c.250-120 d,68-15

Answer:

Her u are asked to find the value of 'm'

We can do it by transposing values from LHS to RHS

Thus it will go like this

2m=8-2

2m=6

m=6/2

m=3

Answer:

2m=8-2

2m=6

m=6/2

m=3

Answer:

no sé jajajajajajjajajajaja

Answer:

False

Step-by-step explanation:

It's been a while since I did this but here we go:

So to find if the triangle lengths are possible, we take the shorter two lengths and we add them.

Those shorter two lengths sum have to be greater than the longest length.

I hope this helps.

Answer:

64 is 128% of 50

Step-by-step explanation:

The answer is 50!

I used a calculator.

1. 0.5.

2. 50

3. 81.92

4. 2

Answer:

1.18770

Step-by-step explanation:

zzzzzzzzzzzzzzzzz

The rounding up of 1.18769843885 to 5 decimal places is 1.18770.

The rounding up of numbers is an estimate that says if a digit is more than 5, that number can be considered as one and added to the next preceding number.

To round up a number in a decimal place, we need to start counting our decimal place after the decimal point.

Here,

So, 1.18769843885 becomes:

= 1.18770

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Answer:

Answer is 10/12 , 15/18 , 20/24 , 25/30 .

Step-by-step explanation:

1. 5/6 { Multiply both numerator and denominator with 2 }

5/6 = 10/12

2. 5/6 { Multiply both numerator and denominator with 3 }

5/6 = 15/18

3. 5/6 { Multiply both numerator and denominator with 4 }

5/6 = 20/24

4. 5/6 { Multiply both numerator and denominator with 5}

5/6 = 25/30

Answer:

a. [tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex] b. 7.44 s

Step-by-step explanation:

a. If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min.

Let m(t) be the mass of salt in the tank at any time, t.

Now, since a brine solution flows in at a rate of 4 L/min and has a concentration of 0.2 kg/L, the mass flowing in per minute is m' = 4 L/min × 0.2 kg/L = 0.8 kg/min

Now, the concentration in the tank of volume 100 L at any time, t is m(t)/100 L. Since water flows out at a rate of 3 L/min, the mass flowing out per minute is

m(t)/100 × 3 L/min = 3m(t)/100 kg/min

Now the net rate of change of mass of salt in the tank per minute dm/dt = mass flowing in -mass flowing out

dm/dt = 0.8 kg/min - 3m(t)/100 kg/min

So, dm/dt = 0.8 - 0.03m(t)

The initial mass of salt entering m(0) = 0 kg

dm/dt = 0.8 - 0.03m(t)

separating the variables, we have

dm/[0.8 - 0.03m(t)] = dt

Integrating, we have

∫dm/[0.8 - 0.03m(t)] = ∫dt

-0.03/-0.03 × ∫dm/[0.8 - 0.03m(t)] = ∫dt

1/(-0.03)∫-0.03dm/[0.8 - 0.03m(t)] = ∫dt

-1/0.03㏑[0.8 - 0.03m(t)] = t + C

㏑[0.8 - 0.03m(t)] = -0.03t - 0.03C

㏑[0.8 - 0.03m(t)] = -0.03t + C'  (C'= -0.03C)

taking exponents of both sides, we have

[tex]0.8 - 0.03m(t) = e^{-0.03t + C'} \\0.8 - 0.03m(t) = e^{-0.03t}e^{C'}\\0.8 - 0.03m(t) = Ae^{-0.03t} A = e^{C'}\\0.03m(t) = 0.8 - Ae^{-0.03t}\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\when t = 0 \\m(0) = 0\\m(0) = 26.67 - \frac{A}{0.03} e^{-0.03(0)}\\\\0 = 26.67 - \frac{A}{0.03} e^{0}\\26.67 = \frac{A}{0.03} \\\frac{A}{0.03} = 26.67\\\frac{A}{0.03} = 6.67\\A = 26.67 X 0.03\\A = 0.8\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\\\m(t) = 26.67 - \frac{0.8}{0.03} e^{-0.03t}\\[/tex]

So, the mass of the salt after t min is

[tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex]

b. When will the concentration of salt in the tank reach 0.1 kg/L?

When the concentration of the salt reaches 0.1 kg/L, m(t) = 0.1 kg/L

Solving the equation for t,

[tex]m(t) = 26.67 - 6.67e^{-0.03t}\\0.1 = 26.67 - 26.67e^{-0.03t}\\26.67e^{-0.03t} = 26.67 - 0.1\\26.67e^{-0.03t} = 26.57\\e^{-0.03t} = 26.56/26.67\\e^{-0.03t} = 0.9963\\[/tex]

taking natural logarithm of both sides, we have

-0.03t = ㏑0.9963

-0.03t = -0.0038

t = -0.0038/-0.03

t = 0.124 min

t = 0.124 × 60 s

t = 7.44 s

Answer:

y=2x+6

Step-by-step explanation:

Slope of line is 2

Plug slope and first set of coords into point-slope intercept form