Each serving of a certain fruit snack contains 90 calories.


Tyler needs some extra calories each day during his sports season. He wants to know how many servings he can have each day if all the extra calories come from the fruit snack. Write an equation that shows the number of servings, n, in terms of the number of calories, c.


(I need to know the equation for it please

Answer:

NO

Step-by-step explanation:

Answer:

Actually it is. Think of it as a standard math. It is not at all hard. AP MAth is very hard because it's a ton of stuff and a whole bunch of maybe even college assignments. I would know because i  was one in honors but now in AP. Trust me when i ay that i fool around in clas and still get an A.

Step-by-step explanation:

The trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

To calculate the total time for the trip, we need to take into account the time for driving and the time for lunch.

First, let's calculate the time for driving:

Distance to be covered = 800 miles

Average speed = 70 miles per hour

Time for driving = Distance / Speed

Time for driving = 800 miles / 70 miles per hour

Time for driving = 11.43 hours

So, the driving time is approximately 11.43 hours.

Now, let's add the time for lunch. The stop for lunch is 30 minutes, which is equivalent to 0.5 hours.

Total time for the trip = Time for driving + Time for lunch

Total time for the trip = 11.43 hours + 0.5 hours

Total time for the trip = 11.93 hours

Therefore, the trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

To learn more about distance from the given link:

https://brainly.com/question/30923151

#SPJ4

Answer:

$3

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

-c = -3

c = 3

So, a box of cereal costs $3

A box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00

Let c stand for the price of a box of cereal and m for the price of a milk jug.

The obtained system of equations is as follows,

2c + m = 8.5

3c + 2m = 14

Multiply the top equation by -2 to reach the solution by elimination:

-4c - 2m = -17

3c + 2m = 14

Put them all together to find c:

-c = -3

c = 3

Thus, a box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

To learn more about ratio test visit:

brainly.com/question/31856271

#SPJ11

The exponential function for each set of points is y = 3 * 2ˣ,

What is the exponential function?

An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

The exponential function can be described as y = 3 * 2ˣ,

where,

x is the input value

and y is the output value.

This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.

For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.

Hence, the exponential function for each set of points is y = 3 * 2ˣ,

To learn more about the exponential function visit,

https://brainly.com/question/12940982

#SPJ1

Yes, 10 can be replaced by a smaller number. Let's prove it first, then look for a smaller number of people.

Let us write the ages of these 10 people as a1, a2, a3, ... a10.According to the given statement,1 ≤ ai ≤ 60Thus, the age of every individual must be between 1 and 60.

Arrange these ages in a non-decreasing order.

Let's assume that no two groups can have the same sum of ages. Each group has either odd or even numbers of members. Hence, if there are an even number of members in the group, the sum of their ages will also be even. If the group has an odd number of members, the sum of their ages will also be odd.

This means that the 10 people can be divided into five groups, with the sum of the ages of each group being odd or even.

Let us consider two cases:

Case 1:

All five groups have odd sums. This implies that each group has an odd number of members, and the number of members in the group is either 1, 3, or 5. Since there are only 10 people, it is impossible to have five groups with an odd sum of ages. This is because there must be two groups that have the same sum of ages.

Case 2:

Three groups have an even sum, and two groups have an odd sum. This implies that there are two groups with an even number of members and three groups with an odd number of members. Since the ages of each individual are between 1 and 60, the sum of the ages of the members of the group with the most members must be at least 1 + 2 + 3 + 4 + 5 = 15.

Similarly, the sum of the ages of the members of the group with the least members must be at least 1 + 2 = 3. If we remove the members of the two smallest groups, we will be left with 6 members whose ages add up to at least 15 + 3 = 18, which is an even number.

This implies that the remaining three groups must have even sums, which contradicts our assumption that two groups do not have the same sum of ages. This proves that we can always find two groups of people (with no common person) the sum of whose ages is the same. The number 10 can be replaced with a smaller number, for example, 8.

To know more about numbers refer to-

brainly.com/question/17429689#
#SPJ11

Answer:

Yes, I can prove that the homogeneous equation of second degree ax² + 2hxy + by² = 0 always represent a pair of straight line passing through origin.

Proof: Let us consider two lines represented by equations y=mx1 and y=mx2 such that they pass through origin (0,0).

Then their general form will be given as follows : Ax+By+C=0 where A , B & C are constants . Now if we equate both these equations then it gives us following relation between m1 & m2 i.e., Amx12 -Bm x22=-C or amx12-bm x22=(a/b)c which is nothing but an equation in standard form with coefficients a , b& c being same for both the lines thus proving our statement. The angle between them would be tan inverse( h / √ab ).

Answer:

figure 2

Step-by-step explanation:

A rhombus is a flat shape with four equal straight sides. All sides have equal length and it looks like a diamond. It is a special type of a parallelogram whose opposite sides are equal.

Answer: figure 2 only but if the third image is a square thenits 2 and 3 cause I can't see the third very well

Step-by-step explanation:

Answer:

The answer is negative 8 and negative 7

Answer:

There is an infinite number of solutions.

Step-by-step explanation:

When you simplify the left side of the equation, you get -7n - 14, which is equal to the right side. If you were to plug in any number for n, it will equal the same on both sides of the equation.

In an experiment where a person eating at a cafeteria choose 4 out of the 19 vegetables on offer, the number of elements in the sample space is 3876.

A sample space of an experiment is the set of all possible outcomes of a random experiment. So the number of elements in a sample space is the total number of possible outcomes of  the experiment.

Here the experiment is choosing 4 vegetables from a set of 19 vegetables offered. The total number of ways to choose 4 out of 19 distinct vegetables = 19C4

= 19! / (4! × (19-4)!)

= 3876

To know more on sample space

https://brainly.com/question/28043513

#SPJ4

The factored form of 196x²- y² is (14x + y)(14x - y).

A factored form is a parenthesized algebraic expression. In effect a factored form is a product of sums of products, or a sum of products of sums. Any logic function can be represented by a factored form, and any factored form is a representation of some logic function.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept. The formula is y=mx+b.

The expression 196x² - y² can be factored using the difference of squares formula, which states that:

a²- b² = (a + b)(a - b)

In this case, we have a = 14x and b = y, so we can write:

196x² - y² = (14x + y)(14x - y)

Therefore, the factored form of 196x²- y² is (14x + y)(14x - y).

The expression (14x + y)(14x - y) is the factored form of a quadratic expression and does not represent a linear equation that can be written in slope-intercept form.

To know more about factors, click here,

https://brainly.com/question/14549998

#SPJ1

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

Answer:

Between 0 and 3: decreasing

Between 3 and 4: constant (stays the same)

Between 4 and 8: decreasing

Step-by-step explanation:

The difference between the upper and lower spending cut-offs that define the middle 85% of the customers is approximately $6.54.

To determine the difference between the upper and lower spending cut-offs that define the middle 85% of the customers, we need to calculate the corresponding z-scores and then convert them back to dollar amounts using the given mean and standard deviation.

First, we find the z-score associated with the lower cut-off. Since the lower cut-off represents the 7.5th percentile (half of 100% - 85% = 7.5%), we can use a standard normal distribution table or a statistical calculator to find the z-score that corresponds to this percentile. The z-score is approximately -1.036.

Next, we find the z-score associated with the upper cut-off. The upper cut-off represents the 92.5th percentile (100% - 7.5%). Using the same methods, we find that the z-score is approximately 1.036.

Now, we can convert these z-scores back to dollar amounts using the mean and standard deviation provided. The lower spending cut-off is calculated as $9.09 (mean) + (-1.036) * $3.49 (standard deviation) = $5.82 (rounded to two decimal places).

Similarly, the upper spending cut-off is calculated as $9.09 (mean) + (1.036) * $3.49 (standard deviation) = $12.36 (rounded to two decimal places).

Finally, we find the difference between the upper and lower cut-offs: $12.36 - $5.82 = $6.54.

Therefore, the difference between the upper and lower spending cut-offs that define the middle 85% of the customers is approximately $6.54.

For more questions on percentile, click on:

https://brainly.com/question/2263719

#SPJ8

Answer:

3x + y + 2 = 0

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

volume of a rectangular prism = lwh

where

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

learn more on volume here: https://brainly.com/question/2005063

#SPJ1

Answer:

-1, 0, 1, 2

Step-by-step explanation:

-1 + 0 + 1 + 2 = 2

Answer:

Step-by-step explanation:

-1,0,1,2

give me brainliest pls

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

about 45%

Step-by-step explanation:

it should be right

At time t, the first pool contains 50+2.3t gal of water, while the second pool contains 102.2-3.5t gal.

They contain the same amount of water when these quantities are equal:

50 + 2.3t = 102.2 - 3.5t

5.8t = 52.2

t = 9

so the pools have the same amount of water after 9 min have passed.

The pools will contain same amount of water in 9 minutes

Let the number of minutes that the pools contain the same amount of water be represented by t.

Since the first pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute, then this will be:

= 50 + (2.3 × t)

= 50 + 2.3t ......... equation i

The second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. This will be:

= 102.2 - (3.5 × t)

= 102.2 - 3.5t ........ equation ii

Equate both equations and this will be:

50 + 2.3t = 102.2 - 3.5t

Collect like terms

2.3t + 3.5t = 102.2 - 50

5.8t = 52.2

Divide both side by 5.8

5.8t/5.8 = 52.2/5.8

t = 9

In conclusion, they'll have same amount of water in 9 minutes

Read related link on:

https://brainly.com/question/13114694

Considering their slopes, these two lines, Line 1 and Line 2, are perpendicular.

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

In this problem, the slopes are given as follows:

The multiplication is given by:

3 x -1/3 = -1.

Hence they are perpendicular.

More can be learned about the slope of a line at brainly.com/question/12207360

#SPJ1

Answer:

c ≤ 6

Step-by-step explanation:

- 8 + c ≤ - 2 ( add 8 to both sides )

c ≤ 6

Answer:

6 or any number less than it. c≤6

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

0.7

Step-by-step explanation:

The auxiliary equation is 4r² + 3r - 10 = 0. The roots of the auxiliary equation are r₁ = 5/4 and r₂ = -2. The complementary function is y_c = C₁e^(5/4x) + C₂e^(-2x).

a) The auxiliary equation can be obtained by replacing d²y/dx² with r² and dy/dx with r in the equation. Thus, the auxiliary equation is 4r² + 3r - 10 = 0.

b) To find the roots of the auxiliary equation, we can solve the quadratic equation 4r² + 3r - 10 = 0. We can use the quadratic formula: r = (-b ± √(b² - 4ac)) / (2a). Plugging in the values a = 4, b = 3, and c = -10, we get r = (-3 ± √(3² - 4(4)(-10))) / (2(4)). Simplifying further, we have r = (-3 ± √(9 + 160)) / 8, which becomes r = (-3 ± √169) / 8. This gives us two roots: r₁ = (-3 + 13) / 8 = 10 / 8 = 5/4, and r₂ = (-3 - 13) / 8 = -16 / 8 = -2.

c) The complementary function is given by y_c = C₁e^(r₁x) + C₂e^(r₂x), where C₁ and C₂ are constants. Plugging in the values of r₁ and r₂, the complementary function becomes y_c = C₁e^(5/4x) + C₂e^(-2x).

In summary, the auxiliary equation is 4r² + 3r - 10 = 0. The roots of the auxiliary equation are r₁ = 5/4 and r₂ = -2. The complementary function is y_c = C₁e^(5/4x) + C₂e^(-2x).

Learn more about quadratic formula here:

https://brainly.com/question/22364785

#SPJ11

Answer:

So the answer is C. (x - 3)^2.

Step-by-step explanation:

The complete square corresponding to x^2 - 6x is (x - 3)^2.

A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.

x^2 - 6x + 9 = (x - 3)^2

So the answer is C. (x - 3)^2.

Given:

The expression is 3.8 - 2.923.

To find:

The subtraction.

Solution:

We have,

\(3.8-2.923\)

It can be written as

\(3.800-2.923\)

Now,

3 . 8 0 0

-2 . 9 2 3

-----------------

0 . 8 8 7

-----------------

So, \(3.800-2.923=0.887\)

Therefore, the value of \(3.800-2.923\) is 0.887.