Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion

The value of the PU in the given triangle is 19.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Given,

'p' is the centroid of triangle XYZ and XU is 57.

Since p is the centroid the 'U', 'V', and 'W' are the mid pint of side'YZ', 'XZ', and 'XY'

from the centroid Theorem, we can write;

XP = 2/3 * XU

plug the values 'XU' in the above equation:

XP = 2/3 *57

XP = 2*19

XP = 38

from figure:

XP + PU = XU

PU = XU - XP

Plug 'XU' and 'XP'

PU = 57 -38

PU = 19

therefore, the PU of the given triangle is 19 units.

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Complete question:

Answer:

Linear

Step-by-step explanation:

Linear means the graph is a straight line. If you plot the points, the line will be straight, therefore it is linear.

Answer:

36 degrees

Step-by-step explanation:

angle 1 and 2 are the same

good luck!

Complementary angles are of 90°.

So, angle 1 + angle 2 = 90°

=> 36° + angle 2 = 90°

=> angle 2 = 90° - 36°

=> angle 2 = 54°

Answer:

Let's define the variables:

M = mother's age

D = daughter's age.

"a mother is twice as old as her daughter"

This can be written as:

M = 2*D

"5 years from now she will be thrice as old as her daughter"

(M + 5) = 3*D

We want to know how old is the mother five years from now.

First, our equations are:

M = 2*D

(M + 5) = 3*D

First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.

Let's isolate D in the first equation:

M/2 = D

Now we can replace this in the other equation:

Now we can replace this on the other equation:

(M + 5) = 3*(M/2)

M + 5 - (3/2)*M = 0

-(1/2)*M + 5 = 0

5 = (1/2)*M

2*5 = M = 10

So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)

and 5 years from now, the mother will be:

10 + 5 = 15 years old.

Answer:

81

Step-by-step explanation:

by corresponding angles from angle ABC

Answer:40

Step-by-step explanation:

325 students - 5 going in cars.

320 students left / 8 busses = 40 students per bus

Answer:

it should be x+12

Step-by-step explanation:

if x is bigger than -11, then the answer will always be positive

We have given a function; [tex]|x+12|, if x > -11[/tex] if x is bigger than -11, then the answer will always be positive.

A function is defined as a relation between the set of inputs having exactly one output each.

We have given a function;

[tex]|x+12|, if x > -11[/tex]

The modulus of any number always gives the positive term.

if x is bigger than -11, then the answer will always be positive.

Let x = 2

then we get

[tex]|x+12| = |2+12| \\\\= 14[/tex]

So, we can see that the answer is positive.

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Answer:

Step-by-step explanation:

Plug in 5 for h

6(5)+7(5)

30+35=65

65

Answer:

[tex] \sf \: 6h + 7h = 65[/tex]

Step-by-step explanation:

Given information,

→ 6h + 7h

→ h = 5

Now the final value will be,

→ 6h + 7h

→ 6(5) + 7(5)

→ 30 + 35

→ 65 => final value

Hence, the answer is 65.

Answer:

Nora needs to work 10 hours to get 70 dollars to be able to have 115 to buy the new phone.

Step-by-step explanation:

45+7x = 115

45+7(10)

45+70

115

(Hope this helped! If you have any questions about this please comment) :D

Answer:

150 of 400 can be written as:

150400To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

150400 × 100100= (150 × 100400) × 1100 = 37.5100Therefore, the answer is 37.5%

If you are using a calculator, simply enter 150÷400×100 which will give you 37.5 as the answer.

When sin θ = - 3/5 and the terminal side of θ lies in quadrant III, then cos θ is  -4/5

The terminal side of an angle refers to the line that intersects the initial line to make an angle

In the problem the terminal side is said to be in the third quadrant and the in the third quadrant sin θ = - 3/5

sin θ = opposite / hypotenuse

using Pythagoras the adjacent is 4, in third quadrant we have -4

cos θ = - adjacent / hypotenuse = -4/5.

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Answer:

90

Step-by-step explanation:

If we know that for every cup, we can take 3 of 1/3-ounce cups, we can use an equation that looks like this:

number of cups × 3 = total 1/3-ounce cups

If there are 30 cups, then we can simply insert 30 into the equation.

30 × 3 = 90

Therefore, you can make 90 1/3-ounce cups from the cereal box.

Answer:

3111.5.

Step-by-step explanation:

3112 - 0.5 = 3111.5.

The coordinate of the reflection is (-y, -x)

From the question, we have the following parameters that can be used in our computation:

Point = (x, y)

Reflection:  Across the line y=−x

Using the above as a guide, we have the following:

So, we have

Image = (-y, -x)

Hence, the image is (-y, -x)

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Answer:

It's actually worth 10 points

The parabola narrows as the quadratic coefficient increases. The parabola's width increases as the quadratic coefficient decreases.

The graphs' width and whether or not they slant upward or downward depend on the quadratic term's coefficient, a for the parent function.

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Answer:

2 ≥ p

Step-by-step explanation:

-14 ≤ -7p

Divided both sides by -7. Because divided by a negative number, the < will turn to >

So, the equation is

2 ≥ p

Because there is an equal, the circle will be close and to the left of 2.

Answer:

2 ≥ p

Step-by-step explanation:

Have a great day :) <3

Answer:

4  3/11

Step-by-step explanation:

Find the function of the first two points

slope = delta y/delta x

slope = y1-y2/x1-x2

slope = (11-(-1))/(-10-1)

slope = 12/-11

Find the y intercept

y=(-12/11)x+b

-1 = (-12/11)*-1+b

-1 = 12/11+b

-23/11=b

y=(-12/11)x-23/11

Plug in x to find y

y=(-12/11)2-23/11

y= 4  3/11

An expression is defined as a set of numbers, variables, and mathematical operations. The quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be solved as,

[tex]\dfrac{x^3+3x^2-4x+5}{x^2-2}\\\\\\= x + \dfrac{3x^2-2x+5}{x^2-2}\\\\\\= x + 3+\dfrac{-2x+11}{x^2-2}[/tex]

Hence, the quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).

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The total sale price of n shirts can be found using the following expression:

total sale price = n * (26.99 - 5.99)

This expression first calculates the sale price of a single shirt by subtracting the discount from the original price, and then multiplies that value by the number of shirts to get the total sale price.

For example, if Mia bought 3 shirts, the total sale price would be 3 * (26.99 - 5.99) = 3 * 21 = 63.

The circumference of the circle is 43.98 in.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Pia drew a circle with a circumference of C and a diameter of 14 in

We have to find the circumference of the circle.

Since,

Circumference = 2*π*r

Here

Diameter of circle = 14 in.

⇒ Radius of circle = 7 in.

⇒ Circumference = 2*π*7 = 43.98 in.

Hence, the circumference of the circle is 43.98 in.

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x = 6 does not satisfy the given equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an equation, 5(x – 3) = x + 13

Checking if x = 6 satisfy the equation or not,

5(x – 3) ? x + 13

5(6-3) ? 6+13

5×3 ? 19

15 ≠ 19

Hence, x = 6 does not satisfy the equation.

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Answer:

First, let's define two variables:

x = number of hours that you work at the Pollo Tropical per week

y = number of hours that you work at Jason's Deli per week

Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.

With the given information, we know that the weekly earnings are:

x*$8 + y*$8.75

We can define this as the objetive function, the one that says how much money you get as a function of x and y:

M(x, y) = x*$8 + y*$8.75

Now, we know that:

"Pollo Tropical requires that you work at least 10 hours per week"

Then:

x ≥ 10

"Jason's Deli does not allow students to work more than 20 hours per week."

y ≤ 20

"you can't  work more than 28 hours/week."

x + y ≤ 28

Then we have:

M(x, y) = x*$8 + y*$8.75

And the system of inequalities is:

x ≥ 10

y ≤ 20

x + y ≤ 28

Answer:

240x is=f simplfied.

Step-by-step explanation:

The largest prime number that divides the quantity is the largest prime number less than 5.5e+22.

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number that divides a quantity is a prime number that is a factor of that quantity.

We can start by computing the values of the factorials, and then use the property of modular arithmetic to find the prime divisors of the quantity.

0! = 1

1! = 1

2! = 2

3! = 6

...

50! = 30414093201713378043612608166064768844377641568960512000000000000

Now we can write the expression as

(0! + 1x1!) + (2x2!) + (3x3!) + ... + (50x50!)

We can notice that the number is very large, and it's impractical to factorize it using traditional methods.

We can use the property that if n is not divisible by a prime number p, then n! is not divisible by p^2. So we can eliminate all the powers of 2 and 5 from the expression, since 2 and 5 are the only prime factors of the factorials.

The next step would be to check if the remaining number is divisible by any prime numbers.

Since it's impractical to check for all the prime numbers, we can use the fact that the largest prime number is less than the square root of the number in question. Therefore, we can check for all primes less than √(50!) = √(30414093201713378043612608166064768844377641568960512000000000000)

Which is approximately 5.5e+22.

Therefore, the largest prime number that divides the quantity is the largest prime number less than 5.5e+22.

It's important to note that this is a very large number and checking for all prime numbers less than it would take a long time. And thus, answer cannot be given.

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Answer:

3) if you were to draw vertical lines through this graph you would have instances where an 'x' value would have more than one unique 'y' value

Step-by-step explanation:

functions must have one unique 'y' value for each 'x' value

The third graph represent a relation that is not a function

A relation is a function if it has only One y-value for each x-value.

The third one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).

In order to see it better, you can trace a vertical line onto that graph.

If that line and the graph intersects in more than one point, then that graph doesn't represent a function.

In every function, you must have a single "y" value for each "x" in the domain.

Hence, the third graph represent a relation that is not a function

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Answer:

C:  (-8, 2)

Step-by-step explanation:

Given parabola:

[tex]y=-\dfrac{1}{8}x^2-2x-4[/tex]

For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.  

Therefore, the x-value of the vertex of the given parabola is:

[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8[/tex]

To find the y-value of the vertex, input x = -8 into the given equation:

[tex]\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4[/tex]

Therefore, the vertex (h, k) of the parabola is (-8, 4).

The focus of the parabola is (h, k+p) where:

Therefore:

[tex]\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)[/tex]

Step-by-step explanation:

20 workers finish work in 21 days.

the necessary work effort is 20×21 = 420 workdays.

the same effort is needed even if the overall time is shorter.

x workers in 15 days.

x × 15 = 420

x = 420/15 = 28 workers.

so, 28-20 = 8 additional workers are needed to finish the work in 15 days.