The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.

Company A: y=0.75x
Company B: y=10+0.50x

How many bars would the team need to purchase from each company in order for the total cost to be equal?

6

If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

I'M AGREED WITH ABOVE GUY ANSWER

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Answer:

....... 25 % more time i guess as it takes alot of time to visit q docterv

Step-by-step explanation:

nothing

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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The exact distance from home plate to second base on a baseball diamond is √16,200 feet. To convert this distance to decimal form, we must first understand the concept of a square root and how it relates to the distance formula.

A square root is a mathematical operation that represents the value whose square is equal to a given value. In this case, the square root of 16,200 is equal to the distance from home plate to second base.

To find the decimal form of the square root of 16,200, we can use a calculator or we can use the long division method. With a calculator, we simply input √16,200, which will give us the result of 126.84955592153876

To round to the nearest hundredth we look at the hundredths digit (8) if it's 5 or above we round up otherwise we round down so 126.84955592153876 rounded to the nearest hundredth is 126.85

The distance from home plate to second base on a baseball diamond is 126.85 feet in decimal form.

It's worth noting that the distance from home plate to second base is a critical aspect of the game and it's really important for the catcher to make a quick and accurate throw to second base.

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

3/16

Step-by-step explanation:

16 pupils, 11 play both, 1 plays piano only and 1 flute only

⇒ 11 + 1 + 1 = 13 pupils who play at least one instrument

⇒ 16 - 13 = 3 pupils who don't play either instrument

⇒ Out of the 16 total pupils, 3 play neither, putting this into numbers:

\(\frac{3}{16}\) which is then also the answer.

The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

The expected number of people out of 700 to order plain vanilla ice cream flavor is given as follows:

b. 224 people.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of 3 x 50 = 150 people surveyed, 17 + 15 + 16 = 48 ordered plain vanilla ice cream, hence the probability of a person ordering plain vanilla ice cream flavor is given as follows:

p = 48/150

Then, out of 700 people, the expected number of people to order the plain vanilla flavor is given as follows:

700 x 48/150 = 224 people.

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Answer:

See below.

Step-by-step explanation:

1)

So we have the limit:

\(\lim_{x\to 4} (f\circ g)(x)\)

This is equivalent to:

\(\lim_{x\to 4} f(g(x))\)

To solve, we can use the following property:

\(\lim_{x \to c} f(g(x))=f( \lim_{x \to c} g(x))\)

Therefore, our limit is the same as:

\(\lim_{x\to 4} f(g(x))\\=f(\lim_{x\to 4} g(x))\)

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

\(=f(-2)\)

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.

Similarly, for the second one:

2)

We have:

\(\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))\)

Using the same property:

\(=g(\lim_{x\to 4} f(x))\)

And we are told that this is 16, so:

\(=g(16)\)

And we just need to evaluate this to find the limit.

I hope you find this helpful!

Using equations, we can find that Plan A lasts for 3/2 hours, and Plan B lasts for 3/4 hours.

Equations are mathematical statements with the equals (=) symbol and two algebraic expressions on either side. This illustrates the equality of the relationship between the expressions printed on the left and right sides. The formula LHS = RHS (left hand side equals right hand side) is utilised in all mathematical equations. To determine the value of an unknown variable that represents an unknown quantity, you can solve equations. A statement is not regarded as an equation if it has no "equal to" symbol. It'll be regarded as a term.

Here in the question,

Let plan A lasts for x hours.

Let plan B lasts for y hours.

Given,

On Monday there were 3 clients who did Plan A and 2 who did Plan B.

So,

3x + 2y = 6

On Tuesday there were 5 clients who did Plan A and 6 who did Plan B.

So,

5x + 6y = 12

Solving the equations,

3x + 2y = 6

⇒ 3x = 6 - 2y

⇒ x = (6-2y) / 3

Putting the value of x in equation 2, we get:

5x + 6y = 12

⇒ 5 ((6-2y) / 3) + 6y = 12

⇒ 30-10y + 18y = 36

⇒ 8y = 6

⇒ y = 6/8

⇒ y = 3/4 hours.

Putting the value of y to get x:

x = (6-2y) / 3

x = (6 - 2 × 3/4) / 3

⇒ x = (12-3/2) / 3

⇒ x = 9/2 × 1/3

⇒ x = 3/2 hours.

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

The number of miles which Fred has hiked according to the task content is; 918 miles.

It follows from the task content that the given trail in discuss is 2448 miles long and the actual number of miles hiked by Fred is to be determined.

Given; Trail distance = 2448 miles.

However, Fred has hiked three eights of the trail before;

It therefore follows from proportion that;

If; 1 trail = 2448 miles;

Then; 3 / 8 trail = 3 / 8 × 2448 miles.

= 918 miles.

On this note, the number of miles hiked by Fred is; 918 miles.

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

5 doses of medication and 1000ml

Answer:

2(1 - x)

Step-by-step explanation:

Twice the difference of 1 and a number

a number = x

The difference of 1 and a number is expressed as :

1 - x

Twice this difference, means the difference of (1-x) multiplied by 2

2 * (1 - x) = 2(1 - x)

Answer:

28

25

27

Step-by-step explanation:

Answer:

A=pi x r^2

A= 3.14 x 9^2 feet

A= 3.14 x 81 feet^2

A= 254.34 ft^2

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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Answer:

9.52 x 1

4.26 x 2

4 x 2.38

Hope that helps

Since two times a number decreased by four is between -14 and 32, we need to solve the following compound inequality:

In order to solve it, we can apply the same operations on all the parts of the inequality, until we isolate the variable x and find its value.

We obtain:

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55