Need help asap!! For this algebra

The total percentage of all the athletes who enjoy cycling are 45%.

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B.

The intersection of two sets A and B is the set of all elements which are common.

Given is that a coach asked her athletes if they enjoy running. Sixty-five percent of the team do not like to run. Of those, 60% enjoy cycling, while 80% of those who enjoy running also enjoy cycling.

Assume the total team is represented by 100%.

Then -

65 members do not like to run {R'}

60 members enjoy cycling {C}

80 members enjoy running and cycling both {R ∩ C}.

We can write -

{R} ∪ {C} = n{R} + n{C} + n{R ∩ C}                             ... Eq { 1 }
{R} ∪ {C} = (100 -  n{R}') + n{C} + n{R ∩ C}
{R} ∪ {C} = 35 + 60 - 80
{R} ∪ {C} = 15

Now -

n{C} = 60 - n({R} ∪ {C})                                 ... Eq { 2 }

n{C} = 45

Therefore, the total percentage of all the athletes who enjoy cycling are 45%.

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Answer:

10

Step-by-step explanation:

is the answer

Answer:

The hair dye was $11.25

Step-by-step explanation:

4x+5=50

4x=45

x=11.25

Based on the graph given, the function is not continuous at x = 1.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output. A function is typically represented using functional notation as f(x), which means that the output value of the function f corresponds to the input value x.  Functions can take many forms and can be represented graphically or algebraically. They are used to describe many real-world phenomena, including physical systems, economic trends, and social behavior. Functions are important in mathematics because they provide a framework for understanding relationships between variables and for solving problems in various areas of mathematics, science, and engineering.

Here,

At x = 1, there is a "hole" or a point of discontinuity in the graph where the function is undefined. This is because the function has a removable discontinuity at x = 1, meaning that the limit of the function exists at x = 1 but the function is not defined at that point.

Therefore, the value of x at which the function is not continuous is: 1

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Answer:

-11

Step-by-step explanation:

4c - 3   Substitute -2 for c

4(-2) - 3

-8 - 3

-11

Answer:

-11

Step-by-step explanation:

We are given the value of c, so we just need to plug it in. We can do this by replacing "c" with "-2" in our given expression.

4c - 3 ⇒ 4(-2) - 3

Now, we can simplify this.

-8 - 3 = -11

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Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

option c (19.2, -6.7) is correct

Step-by-step explanation:

Mid point - it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.

if (\(x,y\)) and (\(x_{1},y_1\)) are the end points of a line segment then mid point is

given by :- \((x+x1)/2 , (y+y1)/2\)

according to question :

given : end point T(-16.8, 31.7)  and mid point M(1.2, 12.5)

let coordinates of another end point S (a, b)

therefore, using mid point formula

1.2 = (-16.8 + a)/2

2.4= (-16.8 + a)

19.2 = a

and,

12.5 = (31.7 + b)/2

25 = 31.7 + b

-6.7 = b

so the option c (19.2, -6.7) is the correct answer

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Answer:true

Step-by-step explanation:

Answer:

[7 38 9] is the answer

Step-by-step explanation:

Hope this helps I did my calculations and this is the answer

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

Here's li^{} nk to the answer:

bit.^{} ly/3fcEdSx

Answer:

Let b = number of boys and g = number of girls.

g/b = 5/3, so g = (5/3)b

b + g = 136

b + (5/3)b = 136

(8/3)b = 136, so b = 136(3/8) = 51 boys, and g = 85 girls

There are 51 boys and 85 girls at the volleyball summer camp.

The ratio of boys to girls at the camp is 3 to 5. By applying this ratio to the total number of children at the camp (136), we find that there are 51 boys and 85 girls.

The question tells us that for every 3 boys at a camp, there are 5 girls. This means that the ratio of boys to girls is 3:5. This ratio tells us that out of every 8 (3+5) children, 3 are boys and 5 are girls.

Now it's mentioned there are 136 children in total. We divide total children by sum of the ratio to find out the number of boys and girls. 136 divided by 8 equals 17. This means there are 17 sets of 'every 8 children'.

To find the number of boys, multiply 3 (number of boys in one set) by 17 (total sets) and we get 51 boys. Using the same process for the girls, we multiply 5 (number of girls in one set) by 17 (total sets), resulting in 85 girls. Thus, among the 136 children at the camp, there are 51 boys and 85 girls.

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Answer:

6(10+4)

Step-by-step explanation:

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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The system of equations has the solution:

x = 111/42

y = 27/14

z = -15/6

We start with 3 linear equations:

2x+y-z=8

x+4y+z=7

-3x+2y-3z=21

To solve this, first we need to isolate one of the variables. I will isolate x on the second one:

x = 7 - 4y - z

Now we can replace that in the other two:

2*( 7 - 4y - z) + y - z = 8

-3*(7 - 4y - z) + 2y - 3z = 21

Now we need to isolate other variable, let's isolate y on the above one:

14 - 8y - 2z + y - z = 8

-7y - 3z = 8 - 14 = -6

z = (-6 + 7y)/-3 = 2 - (7/3)*y

Now we replace this on the last equation:

-21 + 12y -3z + 2y - 3z = 21

14y - 6z = 42

14y - 6*(2 - (7/3)*y) = 42

14y - 12 + 14y = 42

28y = 42 + 12 = 54

y = 54/28 = 27/14

Now that we know the value of y, we can find the value of z:

z = 2 - (7/3)*y = 2 - (7/3)*27/14 = 2 - 27/6 = -15/6

And the value of x:

x = 7 - 4y - z = 7 - 4*(27/14) + 15/6 = 7 - 48/7 + 15/6 = 111/42

So the solution is:

x = 111/42

y = 27/14

z = -15/6

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Answer:

what do you need help with exactly?

Step-by-step explanation:

To solve this, first we need to determine two different equations to represent the two values we need to know.

The sum of the number os students and non-students is equal to 466

If x = number of students and y = number of non-students, then:

x + y = 466

The total amount of money raised was $1059

1.5x = money from students tickets

3.5y = money for non-students tickets.

So, our equation would look like this:

1.5x + 3.5y = 1059

In order to solve the second equation, we have to solve the first equation for either x or y. Let's solve for x

x + y = 466

subtract y from both sides

x = 466 - y

We then replace x in the second equation with the x in terms of y

1.5x + 3.5y = 1059

Let's solve for y

1.5(466 - y) + 3.5y = 1059

699 - 1.5y + 3.5y = 1059

Let's combine the y's

699 + 2y = 1059

subtract 699 from both sides

2y = 1059 - 699

2y = 360

divide both sides by 2

y = 360/2

y = 180

Now we can replace y in the first equation with the value for y: 180

x + y = 466

x + 180 = 466

subtract 180 from both sides:

x = 466 - 180

x = 286

recall, we said let:

x = number of students

y = number of non-students

Therefore, We now know that the the number of students that attended is 286 and the number of non-students that attended is 180.

Answer:

its a

Step-by-step explanation:

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Answer:

  g(x) is f(x) expanded horizontally by a factor of 2

Step-by-step explanation:

Given:

  f(x) = 16^x

  g(x) = 16^(x/2)

__

Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...

  g(x) = f(x/2)

so g(x) is a horizontal expansion of f(x) by a factor of 2.

Answer:

c). The output values of g(x) are the square root of the output values of f(x) for the same value of x.

Step-by-step explanation:

Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Answer: 8.8 hours

Step-by-step explanation:

To start off, we’ll make an equation that “connects” both companies:

10 + 4.75h = 21 + 3.5h (we put h to represent the number of hours)

Move all similar terms to one side:

4.75h - 3.5h = 21 - 10

Simplify:

1.25h = 11

h = 8.8

I hope this helps!

Answer: C

Step-by-step explanation:

Answer:

k = 5/2

Step-by-step explanation:

.....................

Answer:

1+1=2

Step-by-step explanation:

because if you have 1 orange and your dad gives you another orange you will have 2 oranges so 1+1 is 2

Answer:

2

Step-by-step explanation:

1+1 =2 draw one circle and another circle and count it.

Answer:

LETTER A

Step-by-step explanation:

I think it's correct

The correct inequality is : (d) x - 3y < 5, as the dotted line passing through (5,0) and (-4,-3) with shading toward the origin indicates that the solution lies below this line.

The line passing through (5,0) and (-4,-3) is dotted, indicating that the boundary is not included in the solution set. The shaded part toward the origin represents the area where the inequality holds true.

In Option(d), the coefficient of "x" is positive, and that of y is negative, causing the line to slope downward to the right. This aligns with the given points and the shaded region, which makes it the correct representation of the graph described.

Therefore, the correct option is (d).

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Answer:

55

Step-by-step explanation:

in triangle PQR,

PQ=PR. Therefore PQR is an isosceles triangle.

therefore, angle Q= angle R(because angles opposite to equal sides of an isosceles triangle are equal)

angle P +angle Q + angle R= 180°(angle sum property)

2*angle Q + angle P = 180°(angle Q= angle R)

2*angle Q=180°-70°

angle Q= 110°/2

angle Q=55°=angle R

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

The answer is positive 5, or 5