A full glass of water can hold 1/6 of a bottle.
How many glasses of water can be filled with 3 bottles of water?

Given statement solution is :-You should mix 20 milligrams of Medication A this week when using 26 milligrams of Medication B.

To determine how many milligrams of Medication A should be mixed this week, we need to maintain the same proportion as last week.

Last week's proportion:

Medication A : Medication B = 100 mg : 130 mg

To find out the amount of Medication A for this week's prescription, we can set up a proportion using the known ratio:

Medication A / Medication B = Last week's Medication A / Last week's Medication B

Let's plug in the values:

Medication A / 26 mg = 100 mg / 130 mg

To solve for Medication A, we can cross-multiply and then divide:

Medication A * 130 mg = 100 mg * 26 mg

Medication A * 130 mg = 2600 mg*mg

Medication A = 2600 mg*mg / 130 mg

Medication A = 20 mg

Therefore, you should mix 20 milligrams of Medication A this week when using 26 milligrams of Medication B.

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Amy's forth  account is the most over drawn of all the four accounts

What is the total balance of all accounts?

The total balance of all 4 accounts can be determined as the sum of all account balances, bearing in mind that a positive is added whereas an overdrawn balance is deducted

Total balance=$250-$45+$100+$x

The total balance=$130

the balance in the forth account=$x

Let us substitute $130 for the total balance

$130==$250-$45+$100+$x

$130=$305+$x

$x=$130-$305

$x=-$175

The fact that the forth account has  a balance of negative $175 means that it is also overdrawn, in essence, the correct option out of the 4 options is A, the forth account is most overdrawn because it is more overdrawn that the second account with a negative balance of $45.

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On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:

x = 1.49y

-1.49y + x = 0

-149y + 100x = 0

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The linear equation in the required form is: x - 1.49y = 0

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."

Using this information, we can write:

x = 1.49y

To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.

Subtracting 1.49y from both sides, we get:

x - 1.49y = 0

So the linear equation in the required form is:

x - 1.49y = 0

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Given:

The graph of a function.

To find:

The domain and range of the given function.

Solution:

Domain: It is the set of input values.

Range: It is the set of output values.

From the given graph, it is clear that the function is defined for all real values of x because it is a downwards parabola. So, domain is the function is the set of all real number.

\(Domain=\{x|x\in R\}\)

\(Domain=(-\infty,\infty)\)

The function is maximum at point (0,7). So, the maximum value of the function is 7. So, the range of the function is the set of all real numbers less than or equal to 7.

\(Range=-\infty<y\leq 7\)

\(Range=(-\infty,7]\)

Therefore, the domain of the function is \((-\infty,\infty)\) and the range of the function is \((-\infty,7]\).

Answer:

2 litres of water

Step-by-step explanation:

If Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate, this can also be expressed as;

1 1/2 litres = 3/4 hour

To get the amount of litres Ryan drank for 1 hour

x = 1 hour

Divide both equations

(3/2)/x = (3/4)/1

3/2x = 3/4

2x * 3 = 3 * 4

6x = 12

x = 12/6

x = 2

Hence Ryan drinks 2 litres of water in an hour

Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

Probability someone chosen at random will not have brown hair = 1/6

The number of girls = 15

The number of boys = 15

The total number of children = 15 + 15 = 30

Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6

P(Brown hair) + P(Not Brown hair) = 1

5/6  +  P(Not brown hair) = 1

P(not brown hair) = 1 - 5/6

P(not brown hair) = 1/6

Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6

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Answer:

Step-by-step explanation:

Two pounds

2 pounds of coffee sells for $3.38

1 pound of coffee sells for 3.38 / 2 = $1.69

Five Pounds

5 pounds of the same coffee sells for $8.50

1 pound of the same coffee sells for $8.50 /5 = 1.70

By a very narrow margin, the 2 pounds of coffee is the better buy.

You would rather pay 1.69 for a pound of something, when your only other choice is 1.70 for the same thing.

Answer:

dicksuck21

Step-by-step explanation:

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

What is the explicit formula?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

A. The data provided is modeling a geometric sequence.

This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.

B. To find the time Aurora will complete station 5 using a recursive formula,

we can use the formula T(n) = T(n-1) * r,

where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.

In this case T(5) = T(4) * 2

and T(4) = 24 (from the data provided)

Therefore, T(5) = 24 * 2 = 48 minutes

C. To find the time Aurora will complete the 9th station using an explicit formula,

we can use the formula T(n) = T(1) * r^(n-1)

In this case, T(9) = T(1) * 2^(9-1)

and T(1) = 3 (from the data provided)

Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes

The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.

Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

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Answer:

28.26

Step-by-step explanation:

The area of the circle with radius XT is πr² = 25π (the radius is 4 + 1 = 5) and the area of the circle with radius XP is 16π so the shaded area is 25π - 16π = 9π = 9 * 3.14 = 28.26.

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

116.62m

Step-by-step explanation:

\(c= \sqrt{a^2+b^2} = \sqrt {100^2+60^2} approx. 116.61904\)

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Answer:

0.3636363636

it keeps on continuing

If Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

The Morning activities of Samuel

He ran for 30 minutes, covering 4.5 miles,

He swim for 20 minutes covering 2/3 miles

He biked for 45 minutes covering 9 miles

Total distance travelled = 4.5+ 2/3 +9

= 14.17 miles

Total time taken = 30+20+45

= 95 minutes

The average speed = Total distance / Total time taken

= 14.17/95

= 0.15 miles per minutes

Hence, if Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

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Answer:

(a)9

(b)I. 0.28125

II. 0.46875

III. 0.25

Step-by-step explanation:

There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

\(1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7\)

(a)The Venn diagram is attached below.

\(n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\\)

Therefore, 9 students play both the violin and  piano.

(b)

I. Probability that the student  plays the violin but not the piano

Number of Students who play violin only =18-x=18-9=9

\(P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125\)

ii.Probability that the student does not play the violin

Number of Students who does not play violin only =17-x+7=17-9+7=15

P(does not play violin only)

\(= \dfrac{15}{32}\\=0.46875\)

iii.Probability that the student plays the piano but not the violin

Number of Students who play piano only =17-x=17-9=8

\(P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25\)

Answer:

B

Step-by-step explanation:

x + y =90

y= 4x +6

_______

x + y = 90

4x − y = -6

The equations are \(\rm x + y = 90\) and \(\rm 4x - y = -6\). Then the correct option is B.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The sum of x and y is 90.

And y is 6 more than four times x.

Let x and y be the numbers.

Then according to the first condition, we have

\(\rm x + y = 90\)

Then according to the second condition, we have

\(\rm y = 4x + 6\)

It can be written as

\(\rm 4x - y = -6\)

Then the equations are \(\rm x + y = 90\) and \(\rm 4x - y = -6\).

Thus, the correct option is B.

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Answer:

No.

Step-by-step explanation:

Negative decimal numbers are rational numbers since rational numbers include all the integers both positive and negative integers, decimal as well as a fraction because decimals can be written as fractions.

Solution

For this case we have a right triangle

The angle given is 39º

The adjacent side = 7

And we want to find the value of the hypothenuse x, we can use the following identity:

Solving for x we have:

The answer rounded to the nearest tenth would be:

9.0

Answer: 20 over 4

Step-by-step explanation: me smart

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer: 7

Step-by-step explanation:

3 x 3 = 9 - 2(3)+4

9-6+4

=7

The first step to solve the equation -1/2(x+4) = 6 is to multiply both sides by -2

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

The equation -1/2( x+4) = 6 is an example of linear equation. It is a linear equation with one variable and x is the variable.

The equation -1/2(x+4) = 6

multiply both sides by -2

-1/2( x+4) ×-2 = 6 ×-2

x+4 = -12

collect like terms

x= -12-4

x = -16

therefore the first step to solve the equation is to multiply both sides by -2

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Answer:

110

Step-by-step explanation:

Since the whole thing should equal 360 degrees and the sides are the same length in twos then add 100 + 40 and then do 360 - 140 then divide by two fpr the missing two angles so each are 110 degrees.

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to and bisect each other.

The diagonals divide the rhombus into four equal right triangles, with legs equal to half-diagonals and each side of a rhombus is a hypotenuse of the formed triangles.

Let the diagonals be x and y and sides be s.

According to Pythagorean we have:

Given:

Find y:

Area of the rhombus: