A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

8:12

Step-by-step explanation:

8/2=4

4 times 3 = 12

Answer:

The probability that the sum of the two numbers on the dice will be greater than 9 is 16.7%.

Step-by-step explanation:

To find the probability of the two fair six-sided dice getting a sum of 9 when thrown, we have to first find all the possibilities and those that are greater than 9.

The total number of possibilities for the outcome of the two dice would be (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1) and so on. Due to every possibility from the first dice branching out into six possibilities for the second dice, we can find the total number of possibilities to be 6 * 6 = 36 possibilities.

Now to find the total number of possibilities with a sum greater than 9. Due to the question asking for a sum of over 9, the possibilities will not include those with a sum of 9 itself. Hence, the only possibilities are when the first dice rolls 4 or more, since 3 + 6 (the maximum that the second dice can roll) is exactly 9.

Listing out all the possibilities, there are: (4, 6), (5, 5), (5, 6), (6, 4), (6, 5) and (6, 6). A total of 6 possibilities will get you a sum of 9 or above.

Finally, to find the percentage, we divide the number of possibilities with their sum over 9 by the total number of possibilities:

\(\frac{6}{36} \cdot 100\%\)

\(= \frac{1}{6} \cdot 100\%\)

\(= 16.7\%\)

Hence, the probability that the sum of the two numbers on the dice will be greater than 9 is 16.7%.

Hope this helped!

The probability that the sum of the two numbers on the dice will be greater than is 1/6

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, two dies are rolled we need to find the probability that the sum of the two numbers on the dice will be greater than 9,

The total outcomes = 36

{[1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4],[2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6].}

Listing out all the possibilities, there are: {(4, 6), (5, 5), (5, 6), (6, 4), (6, 5) and (6, 6)} = 6

Therefore, the probability that the sum of the two numbers on the dice will be greater than 9 = 6/36 = 1/6

Hence, the probability that the sum of the two numbers on the dice will be greater than is 1/6

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Step-by-step explanation:

it just means

z = k×x²/y³

12 = k×8²/2³ = k×64/8 = k×8

k = 12/8 = 3/2

24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²

24/(3/2) = x²

48/3 = x²

16 = x²

x = 4 or

x = -4

Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

The polynomial simplifies to -x² + 8x + 1 with a highest degree of 2.

To simplify a mathematical expression is to represent it in the least complicated form possible.

In general the simplest form is one that has used the fundamental properties of numbers, exponents, algebraic rules, etc. to remove any duplication or redundancy from the expression.

The given expression;

= (3x²- x - 7) - (5x² - 4x - 2) + (x + 3)(x + 2)

The simplified form of the given expression is calculated as follows;

= 3x² - x - 7 - 5x² + 4x + 2 + x² + 2x + 3x + 6

= -x² + 8x + 1

Thus, the polynomial simplifies to -x² + 8x + 1 with a highest degree of 2.

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The average rate of change of the function over the interval is -6

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

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Step-by-step explanation:

the answer is 72.70 cents

Answer: See explanation

Step-by-step explanation:

Markup is 39% of the cost.

Markup is what is added to the price to get the retail price.

39% × 72.72

0.39 × 72.72 = 28.3608

28.3608 ≈ 28. 36

Markup ≈ $28.36

Retail price is the price you get after you add the markup to the original price.

Retail price: Cost + Markup

Retail price: $72.72 + $28.36

Retail price = $101.08

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:is this actually a question!

Step-by-step explanation:

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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Answer:

Step-by-step explanation:

Soooo, angle 1 is 157 degrees

That means:

Angle 2 is 23 degrees                                   Supplementary Angles

Angle 3 is 157 degrees                                  Vertical Angle to Angle 1

Angle 4 is 23 degrees                                   Vertical angle to Angle 2

Answers:

=======================================================

Explanation:

Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180

(angle1)+(angle2) = 180

angle2 = 180-(angle1)

angle2 = 180-157

angle2 = 23 degrees

Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.  

Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

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The water Ms. Morales put in the pool in terms of π is  \(\pi\)6561inch^3

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \pi r^2 h \: \rm unit^3\)

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Given;

Diameter= 54 in.

Height of pool= 12ft

Now,

3/4 th height of pool;

3/4 x 12= 9inch

Volume= \(\pi r^{2}h\)

=\(\pi\)27x27x9

=\(\pi\)6561inch^3

Therefore, the volume of pool will be \(\pi\)6561inch^3

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Using the percentage concept, it is found that 60.29% of the people surveyed were completely satisfied with the car.

A percentage is the number of desired outcomes, multiplied by 100%, and divided by the number of total outcomes.

In this problem, researching in the internet, it is found that:

A total of 1260 + 650 + 180 = 2090 people were surveyed.

Of those, 1260 were completely satisfied.

Hence:

60.29% of the people surveyed were completely satisfied with the car.

Answer: A

Step-by-step explanation:

Straight away, we can see there is some sort of reflection over the y-axis.

Then, we can see that, there is a reflection over the x-axis.

This matches up with A.

Answer:

Step-by-step explanation:

I'm not familiar with the conversions from American dollars. I can help you solve it though.

Count how many days from Nov 26 to Dec 26 and multiply that by 9p.

It's 30 days by 9p. Take that total and convert it.

Hopefully this helps you.

Ok, so

Given:

We want to find (fog)(x) and (gof)(x).

First, let's find (fog)(x).

This is:

So we're going to evaluate f in (x2 + 5).

Now, let's find (gof)(x). This is:

So we're going to evaluate g in the function f.

Answer:

(7,-6)

x = 7, y = -6

Step-by-step explanation:

(1) 6x - 5y = 72

(2) 2x + 6y = -22

multiply equation (2) by -3

-3 (2x + 6y = -22)

-6x - 18y = 66

add equation (1) and the new equation:

6x + -6x = 0

-5y + -18y = -23y

72 + 66 = 138

---> -23y = 138

divide both sides by -23

y = -6

plug in y = -6 into equation (2):

2x + 6(-6) = -22

2x - 36 = -22

2x = 14

x = 7

Answer:

x=113

Step-by-step explanation:

because 95 + 84 + 68 is 247 360 - 247 = 113

Any of these STEM innovators starts their process by observing.

STEM, or science, technology, engineering, and math, is a field and curriculum that focuses on educating students in these four academic areas (STEM). Scientists at the U.S. The acronym STEM was originally adopted by the National Science Foundation in 2001. (NSF).

Mathematics Is the Key to a STEM Major. The key to earning a STEM degree is mathematics. Without it, students will find these majors difficult and might even decide not to continue with them. Science, technology, engineering, and mathematics, or STEM.

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Answer:  observe

Step-by-step explanation:

For the given function, the critical point is (-1,2), relative extrema is is 2, and saddle points is zero.

To find the critical points of a function, we need to find where the partial derivatives of the function are equal to zero or do not exist. In other words, we need to find the points where the function is not changing with respect to x and y. The partial derivative of f(x,y) with respect to x is:

fx = 2x + 2

And the partial derivative of f(x,y) with respect to y is:

fy = 2y - 4

To find the critical points, we set both partial derivatives to zero and solve for x and y:

fx = 2x + 2 = 0

=> x = -1

fy = 2y - 4 = 0

=> y = 2

So, the critical point of the function is (-1, 2).

To determine whether this critical point is a relative maximum, minimum, or saddle point, we need to look at the second partial derivatives of the function. The second partial derivative of f(x,y) with respect to x is:

fx = 2

And the second partial derivative of f(x,y) with respect to y is:

fy = 2

The mixed partial derivative of f(x,y) with respect to x and y is:

fy = 0

To classify the critical point, we can use the second derivative test.

If fx and fy are both positive (or both negative) at the critical point, then the critical point is a relative minimum (or maximum), respectively.

If fx and fy have different signs, then the critical point is a saddle point. If the second derivative test is inconclusive, then we need to use additional methods to determine the nature of the critical point.

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Complete Question:

Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.) f(x, y) = x² + y² + 2x - 4y + 2

Answer:

30% of total students chose snowboarding as their favorite sport.

Step-by-step explanation:

We know that;

=> Total people = 500

=> Snowboarding people = 105

=> Percentage = unknown, so we can say it as x

So we can set up the equation;

x% · 500 = 105

\(\frac{x}{100}\) · 500 = 105

x · 5 = 105

x = 105/5

x = 30

So 30% of total students chose snowboarding as their favorite sport.

Hope this helps!

Answer:

0.4

Step-by-step explanation:

0.35 is hundredth, and since you always round 5 up, it makes 0.4

Answer:

0.4

Step-by-step explanation:

To figure out the answer, first we need to know how to round. Find the tenths place. That's the first 3 you come upon. Look at the number beside it. It is a five which means you would round up (this is because of the 5 or more raise the floor, four or less let it rest rule) The 3 would then turn into a 4.

Answer:

  ₹ 1,50,000

Step-by-step explanation:

You want to know the value of machinery to be shown if the value ₹ 2,00,000 is (100/3)% too high.

The value shown (₹ 2,00,000) is (100/3)% more than the actual value, so the relation is ...

  ₹ 2,00,000 = actual value + (100/3)% × actual value

  ₹ 2,00,000 = actual value · (1 +1/3)

Multiplying by 1/(1 +1/3), we have ...

  actual value = (3/4)·(₹ 2,00,000) = ₹ 1,50,000

The value of machinery to be shown in the New Balance Sheet is ₹1,50,000.

__

Additional comment

(100/3)% = (100/3)/100 = 1/3

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The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Answer:

60.5 m

Step-by-step explanation:

We can use the arc length formula to calculate the length of highlighted arc. Let the numerical measure of the highlighted arc be known as C, the angle measure be known as \(\theta\), and r as the radius of the circle.

Given variables:

Plug in all the variables into the formula and solve for the letter C.

\(\boxed{\text{Formula: C = }{2\pi r\huge{\text(}\frac{\theta}{360}\huge\text{)}}}\)

\(\implies C = }{2\pi (11)\huge{\text(}\dfrac{315}{360}\huge\text{)}}}\)   \(\implies C = }{22\pi \huge{\text(}\dfrac{315}{360}\huge\text{)}}} = 60.5 \ \text{m}\)

Therefore, Option A is the correct option.

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2