At a football stadium, 5% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?

Mari put 1/2  of a bottle of water at the water fountain .

Let the capacity of the bottle holding water be 100 .

It is given that Marianna went running and had 1/6 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it until it was 2/3 full.

The amount of water is given by :

 2/3 of 100 - 1/6 of 100 =  2/3 × 100 - 1/6 × 100

                                       = 100( 2/3 - 1/6)

                                        = 100(1/2)

                                        = 50

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Step-by-step explanation:

Simon only used 125ml milk

250÷2=125

Craig used 375ml milk

250x1.5=275

Answer:

No decimal: 905

One decimal: 905.3

Answer:

4.6667

Step-by-step explanation:

we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

So we have a square with an area of 16 square units, then the side length of that square will be given by:

S^2 = 16 square units

Now, there are two solutions for the above equation, these are:

S = 4 units

S = -4 units.

But being a solution of the equation does not mean that the solutions have sense in the context of the problem.

When we talk about dimensions of figures, negative numbers are not really well defined. We can't say that a square has a side length of "negative 4 units"

That does not make sense, remember that math is just a language, and it should be used to communicate things to others.

So the logical solutions (4 and -4) is not the only thing we need to look at when we state the solutions of a problem, but also the problem itself.

That is why we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

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The equation that is not a power equation is p = v²×i

From the question, we are to determine which of the given equations is not a power equation

Where the Voltage, V, and the Current, I, are given, the power, P is given by

P = IV

When the Voltage and the Resistance, R, are given

P =  V²/R

When the Current and the Resistance are given,

P = I²R

∴ P =  V²/R, P = IV, and P = I²R are power equations.

Hence, the equation that is not a power equation is p = v²×i

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Restaurant A offers the best value as one hamburger is $1.29

The first step is to calculate the price of one burger in restaurant A

11= 14.19

1= x

cross multiply

11x= 14.19

x= 14.19/11

x= 1.29

The next step is to calculate the price on one burger in restaurant B

2= 2.64

1= x

Cross multiply

2x= 2.64

x= 2.64/2

x= 1.32

Hence the price of the hamburger at Restaurant A is $1.29 and the price at Restaurant B is $1.32.

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Answer:

(A) Restaurant A for $1.29

Step-by-step explanation:

Got it right on my quiz.

The option D.15 + 40 = 5(3 + 8); demonstrates the distributive property.

From the given options;

Consider option D; 15 + 40 = 5(3 + 8).

It is the case of distributive addition.

where

5(3 + 8) = 5×3 + 5×8

5(3 + 8) = 15 + 40

Thus, the option D is the correct representation of the distributive law.

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answer=

Children =5

Adults = 3

3/8 are adults

Answer:

No

Step-by-step explanation:

12/24 = (1 * 12) / (2 * 12) = 1/2

24/72 = (1 * 24) / (3 * 24) =  1/3

1/2 ≠ 1/3

It looks like you want to find

[tex]\displaystyle \int_1^4 x f''(x) \, dx[/tex]

Integrate by parts:

[tex]u = x \implies du = dx[/tex]

[tex]dv = f''(x) \, dx \implies v = f'(x)[/tex]

Then

[tex]\displaystyle \int_1^4 x f''(x) \, dx = x f'(x) \bigg|_{x=1}^{x=4} - \int_1^4 f'(x) \, dx[/tex]

By the fundamental theorem of calculus,

[tex]\displaystyle \int_1^4 f'(x) \, dx = f(4) - f(1)[/tex]

so that

[tex]\displaystyle \int_1^4 x f''(x) \, dx = 4 f'(4) - f'(1) - f(4) + f(1) = 12 - 7 - 8 + 4 = \boxed{1}[/tex]

Answer:

975 lbs.

Step-by-step explanation:

9 3/4 = 9.75

9.75 × 100 = 975

Solution=0.76

How to solve 11/12 - 7/45?

[tex]\frac{11}{12} -\frac{7}{45} \\=\frac{(11*45-7*12)}{540} \\=\frac{411}{540} \\=0.76[/tex]

What is a fraction?

       Ex: 1/2 = 0.5

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Answer: 180

Step-by-step explanation: 3 times 6 is 18 so just add a zero

Answer: 180

Step-by-step explanation:

3x60

60+60+60

Answer:

x=7

Step-by-step explanation:

AB is 1 part of the line

BC is the other part of the line

the total length of the line is 50 units

when you add AB to BC you should get 50

5x+2x+1=50

7x+1=50

7x=49

x=7

The phrase "54 less than twice Chrissy's age" is translated into an algebraic expression as 2x - 54.

Given the phrase in the question;

"54 less than twice Chrissy's age"

Let variable 'c' represent Chrissy's age

Translation

Chrissy's age ⇒ x

Twice Chrissy's age ⇒ 2 × x = 2x

54 less than ⇒ -54

Now combine terms

2x and - 54

2x - 54

Therefore, the phrase "54 less than twice Chrissy's age" is translated into an algebraic expression as 2x - 54.

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Answer:

The simplified answer would be: -22n

Please correct me if I am wrong, hope this helps! ;)

Answer:

-22n.

Step-by-step explanation:

'+-' = '-'   so,

– 8n+– 8n+– 6n

= -8n - 8n -6n

= -22n.

Answer:

8, 26 and 19

Step-by-step explanation:

Perimeter is the length of all sides of a polygon. It is simply the length of the boundary around a closed shape. Perimeter of a triangle = Sum of all three sides.

Hence,

[tex]\Rightarrow[/tex] n + 3n + 2 + 4n - 13 = 69 (acc. to Q)

[tex]\Rightarrow[/tex] n + 3n + 4n + 2 - 13 = 69

[tex]\Rightarrow[/tex] 8n - 11 = 69

[tex]\Rightarrow[/tex] 8n = 80

[tex]\Rightarrow[/tex] n = 80/10

[tex]\Rightarrow[/tex] n = 8

Length of all three sides:

Construct the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter of an obtuse triangle (altitudes). Take note of how these three centers interact with one another.

An obtuse-angled triangle or obtuse triangle is one in which one of the angles is an obtuse angle or greater than 90°. The sum of the obtuse triangle's interior angles is only 180°. This means that the angle sum property of any triangle remains unchanged.

An obtuse-angled triangle is one in which one of the interior angles is greater than 90°. If one angle in an obtuse triangle measures more than 90°, the sum of the remaining two angles is less than 90°.

Construct the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter of an obtuse triangle (altitudes). Take note of how these three centers interact with one another.

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Answer:

Step-by-step explanation:

Let the number of miles be x.

Total amount of rental is:

Total amount of rental is:

Since A = B, substitute the values and solve the equation:

Answer:

Approximately [tex]0.7\; {\rm ft}[/tex].

Step-by-step explanation:

If the current bounce is of height [tex]h\; {\rm ft}[/tex], the next bounce would be of height [tex](78\%\, h)\; {\rm ft}[/tex], which is equal to [tex](0.78\, h)\; {\rm ft}[/tex].

It is given that the first bounce is of height [tex]6.5\; {\rm ft}[/tex]. Relative to this first bounce:

In general, the [tex]n[/tex]th bounce would have been dampened [tex](n - 1)[/tex] times. The height of that bounce would be [tex]((0.78)^{n - 1}\, 6.5)\; {\rm ft}[/tex].

Thus, the [tex]10[/tex]th bounce would have been dampened [tex](10 - 1) = 9[/tex] times. The height of that bounce would be [tex]((0.78)^{10 - 1} \, 6.5)\; {\rm ft} \approx 0.7\; {\rm ft}[/tex] (rounded to the nearest tenth, one digit after the decimal point.)

The coordinates of the midpoint of a segment with the given endpoints will be (1.5, -2).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(0, 0) and C(3, -4).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(0 + 3) / 2, (0 - 4) / 2]

(x, y) = (3/2, -4/2)

(x, y) = (1.5, -2)

The coordinates of the midpoint of a segment with the given endpoints will be (1.5, -2).

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Answer:

the answer is D

hope this helps!

For the given subscriptions, we have that:

a) The mean is of $6.42.

b) The median is of $5.

c) The modes are of 5 and 10.

d) Marshall would have to add a subscription of $12.25.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

For this problem, the observations are given as follows:

10, 5, 10, 4, 12, 5, 6, 2.75, 3.

Hence the mean is:

M = (10 + 5 + 10 + 4 + 12 + 5 + 6 + 2.75 + 3)/9 = $6.42.

With another observation, we want a mean of $7, hence:

(10 + 5 + 10 + 4 + 12 + 5 + 6 + 2.75 + 3 + x)/10 = 7

57.75 + x = 70

x = 12.25.

Hence, for item d:

Marshall would have to add a subscription of $12.25.

The median of a data-set is the middle value, which is the value that 50% of the data-set is greater and 50% is lesser.

The ordered data-set in this problem is:

2.75, 3, 4, 5, 5, 6, 10, 10, 12.

The middle value is of 5, which is the median.

The mode of a distribution is the observation that appears the most times in the distribution.

In this problem, those observations are 5 and 10, both of which appears twice, hence the distribution is bimodal.

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Answer:

47

Step-by-step explanation:

6(7)+5=42+5=47

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Question

The turtle population on an island is increasing at a rate of 1.4% per year. The population was 3800 in the year 2009.

What is the predicted population in the year 2014?

Answer:

3541

Answer:

-4

Step-by-step explanation:

Split the problem into two cases: one positive and one negative

|4x+7| =9

4x+7=9

(4x+7) =9

Subtract 7 from both sides

4x+7 - 7 = 9 - 7

Solution

x = 1/2

x = -4