Are 8÷2 and 2÷8 equivalent

45 adult tickets and 80 children tickets were sold

Solution:

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 6

Cost of 1 children ticket = $ 3.50

They sold a total of 125 tickets

Therefore,

a + c = 125

c = 125 - a --------- eqn 1

They made a total of $550. Therefore, frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550

[tex]a \times 6 + c \times 3.50 = 550\\[/tex]

6a + 3.50c = 550 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

6a + 3.50(125 - a) = 550

6a + 437.5 - 3.50a = 550

2.5a = 112.5

Substitute a = 45 in eqn 1

c = 125 - 45

Thus 45 adult tickets and 80 children tickets were sold

The equation y=0.02x+250 gives the weekly income y in terms of sales x.

Step-by-step explanation:

Given,

Weekly salary of real estate agent = $250

Commission rate = 2%

Let,

x be the sales per week.

y be the total weekly income.

Amount of commission = 2% of sales per week

Amount of commission = [tex]\frac{2}{100}*x[/tex]

Amount of commission = 0.02x

Total weekly income = Amount of commission + Weekly salary

[tex]y=0.02x+250[/tex]

The equation y=0.02x+250 gives the weekly income y in terms of sales x.

Keywords: equation, percentage

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The weekly income y of a real estate agent can be calculated using the equation y = 250 + 0.02x where 'y' is the weekly income, 'x' is the sales amount, '250' is the fixed salary and '0.02x' is the commission on sales.

The weekly income y of a real estate agent is comprised of a fixed salary and a variable part which is a commission based on the amount of sales done. Given the fixed salary is $250 and the commission is 2% of sales, we can represent this as a mathematical equation:

y = 250 + 0.02x

Here, 'y' represents the weekly income, 'x' represents the amount of sales and '250' is the fixed salary. The term '0.02x' is the 2% commission of sales. So, for a given sales amount 'x', the weekly income 'y' can be computed using this equation.

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Answer:

The third side is

B. [tex]2x[/tex]

Step-by-step explanation:

Given:

Perimeter of triangle = [tex]10x+12y[/tex]

Two sides of the triangle are :

1) [tex]4x+14y[/tex]

2) [tex]4x-2y[/tex]

To find the third side.

Solution:

Let the third side be = [tex]z[/tex]

The perimeter can be given as sum of all 3 sides :

[tex]4x+14y+4x-2y+z[/tex]

Combining like terms.

[tex]4x+4x+14y-2y+z[/tex]

[tex]8x+12y+z[/tex]

The perimeter given = [tex]10x+12y[/tex]

So, we have:

[tex]8x+12y+z=10x+12y[/tex]

Solving for [tex]z[/tex]

Subtracting both sides by [tex]8x[/tex]

[tex]8x-8x+12y+z=10x-8x+12y[/tex]

[tex]12y+z=2x+12y[/tex]

Subtracting both sides by [tex]12y[/tex]

[tex]12y-12y+z=2x+12y-12y[/tex]

∴ [tex]z=2x[/tex]

Thus, the third side is = [tex]2x[/tex]

Answer:

it’s 92 on edge

Step-by-step explanation:

Answer:

y=ax+b

Step-by-step explanation:

i got it right on TTM

Answer:

C

Step-by-step explanation:

Answer:

[tex]\large\boxed{(h\circ g)(x)=6x-16}[/tex]

Step-by-step explanation:

[tex]h(x)=3x-1\\\\g(x)=2x-4\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\\\\\text{Substitute instead of x the expression (2x - 4) to h (x):}\\\\(h\circ g)(x)=3(2x-4)-4\qquad\text{use the distributive property}\\\\(h\circ g)(x)=(3)(2x)+(3)(-4)-4\\\\(h\circ g)(x)=6x-12-4\\\\(h\circ g)(x)=6x-16[/tex]

Answer:334

Step-by-step explanation:

11+15=26-360

Answer:

2/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-1)

m=2/3

Answer:

8,535,300

Step-by-step explanation:

the answer is 41,464,700 + 8,535,300 = 50,000,000

The answer to this problem is simple 134

Answer:

joshua has 3 more cookies than dareonte

Answer:

[tex]a=-\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given the parabola

[tex]y=a(x-1)(x-4)[/tex]

To find y-intercept, substitute [tex]x=0:[/tex]

[tex]y=a(0-1)(0-4)\\ \\y=4a[/tex]

Hence, [tex](0,-4a)[/tex] is the point of intersection with y-axis.

To find x-intercept, substitute [tex]y=0:[/tex]

[tex]0=a(x-1)(x-4)\\ \\x_1=1\ \text{or}\ x_2=4[/tex]

Hence, points [tex](1,0)[/tex] and [tex](4,0)[/tex] are the points of intersection with x-axis.

Find the area of the triangle formed:

[tex]A_{\triangle}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}\\ \\\text{Base}=|4-1|=3\\ \\\text{Height}=|4a|\\ \\A_{\triangle }=\dfrac{1}{2}\cdot 3\cdot |4a|=6|a|[/tex]

Since the area of the triangle is 3, you have

[tex]6|a|=3\\ \\6a=-3\ [\text{Parabola goes downward}]\\ \\a=-\dfrac{1}{2}[/tex]

Answer: a. 10%

Step-by-step explanation:

Girls in the class = 40%

Girls play tennis = 25%

Percentage of class play tennis = 40%*25% = 0.4*0.25 = 0.1

Percentage of class play tennis = 10%

The percentage of the class that plays tennis is 70%.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We

If 40% of a class is girls, then 60% of the class must be boys.

Let's say there are 100 students in the class, so 40 of them are girls, and 60 are boys.

If 25% of the girls play tennis, that means 25% of 40, which is 10 girls, play tennis.

Therefore, the total number of students who play tennis is 10 girls + some number of boys.

We don't know how many boys play tennis, but we can find out what percentage of the whole class plays tennis by dividing the total number of tennis players by the total number of students:

(10 girls + X boys) / 100 total students

We know that 40% of the class is girls, so:

X boys = 60% of 100 total students = 60 students

So the total number of students who play tennis is:

10 girls + 60 boys = 70 students

And the percentage of the class that plays tennis is:

70 students / 100 total students = 70%

Therefore,

The percentage of the class that plays tennis is 70%.

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Answer:

75%

Step-by-step explanation:

42/56 = [tex]\frac{42}{56}[/tex]

Convert to decimal form:

42÷56 = 0.75

= 75%

Darren got 75% of the questions correct on his test, as 42 out of 56 simplifies to 3/4 or 75%. This percentage might place him in a higher percentile, indicating good performance.

Darren scored 42 out of 56 questions correctly on his test. To find what percent of the questions he got correct, you set up a fraction of correct answers over the total number of questions and then convert it to a percentage. The fraction for Darren's test is 42/56, which simplifies to 3/4 or 0.75 when divided. To convert this to a percentage, you multiply by 100, giving Darren a score of 75% correct on his test.

Some students might be interested in how this compares to percentile ranks. For example, if the 70th percentile for a test is 16 correct answers out of 20, this means that 70% of the students answered 16 or fewer questions correctly. Darren's score of 75% would likely place him in a higher percentile since he got a larger proportion of the questions correct, which is generally considered good.

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The number Fred thinks of is 111

Solution:

Given that, Fred thinks of a number that is greater than 110 and less than 120

He can make his number with same number of hundreds,tens and ones

To find: Fred's number

Given that the number is greater than 110 and less than 120

The possible numbers are:

111 , 112, 113, 114, 115, 116, 117, 118, 119

But he can make his number with same number of hundreds,tens and ones

So the numbers in ones, tens and hundreds place are same

So the only possible number is 111

Thus the number Fred thinks of is 111

Final answer:

Fred's number is 111, as it is the only number that is greater than 110 and less than 120 and has the same number of hundreds, tens, and ones.

Explanation:

The number Fred thinks of must be greater than 110 and less than 120. Additionally, it must have the same number of hundreds, tens, and ones. To meet these conditions, the only number that fulfills this is 111. This is because it's the only number between 110 and 120 that has the same digit in the hundreds, tens, and ones place.

Fred's number is unique in this range because it is represented with three identical digits, showcasing an interesting property of numbers in our base-ten system where a digit's value depends on its position. Hence, 111 is the number Fred is thinking of, which consists of one hundred, one ten, and one one.

Answer:

$3,750

Step-by-step explanation:

1.5% of 250,000 is 3,750

The question does NOT ask for the total price. It is just asking for commission.

Answer:

7.48331477355

Step-by-step explanation:

Answer:

(7.48331)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

30 times .40 =12

Answer:

Step-by-step explanation:

To calculate %, or to find x% of y, use

xy/100

(30)(40)/ 100

1200/100

12

Therefore, 40% of 30 = 12

Answer:

Step-by-step explanation:

First, parallel lines have the same slope, so the slopes should be the same , and then you use the given point to find the y intercept

EX:

y=x+1

find equation of line the is parallel and passes through (1, 1)

Same slope, so y=x+b

then plug in the point

1=1+b

b=0

our line would be y=x

To write the equation of a line when you know a point on the line and have the equation of a line parallel to it, use the point-slope form of a linear equation. Substitute the values and simplify to get the equation.

To write the equation of a line when you know a point on the line and have the equation of a line parallel to it, you can use the point-slope form of a linear equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is the known point and m is the slope of the parallel line. Substitute the values into the equation and simplify to get the equation of the line.

For example, if you know a point on the line is (2, 5) and you have the equation of a line parallel to it as y = 2x + 3, the slope of the parallel line is 2. Substitute the values of the known point and the slope into the point-slope form: y - 5 = 2(x - 2). Simplify the equation to get the equation of the line: y - 5 = 2x - 4.

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Answer:

5.8

Step-by-step explanation:

Shakira played 3 full games because rounding off to 4 would increase the total.

Step-by-step explanation:

Given,

Rent of shoes = $3

Amount paid for each game = $4.75

Total paid by Shakira = $21

Let,

x be the number of games played by Shakira.

Amount paid for each game * Number of games + Rent of shoes = Total paid

[tex]4.75x+3=21\\4.75x=21-3\\4.75x=18[/tex]

Dividing both sides by 4.75

[tex]\frac{4.75x}{4.75}=\frac{18}{4.75}\\x=3.8[/tex]

Therefore,

Shakira played 3 full games because rounding off to 4 would increase the total.

Keywords: algebraic equation, division

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Answer:

0.3e+518

Step-by-step explanation:

0.3(e+60)+1500/3

0.3e+18+500

0.3e+518

Answer:

27

Step-by-step explanation:

Substitute n = - 2 into the expression

n² - 8n + 7

= (- 2)² - 8(- 2) + 7 = 4 + 16 + 7 = 27

Answer:

Step-by-step explanation:

1 9/11 - 1 7/10

= (1-1) + (9/11 - 7/10)

= 9/11 - 7/10

= (9×10)/110 - (7×11)/110

= (90-77)/110

= 13/110

Answer:

Step-by-step explanation:

Mary is 1 9/11feet = 20/11feet

Anne is 1 7/10feet = 17/10

Mary is tall than Anne with

= 20/11 - 17/10

The LCM is 110

= (200 - 187)/110

= 13/110

= 13/110feet

Answer:

2.78 days 66.67 hours

Step-by-step explanation:

Answer:

A

Step-by-step explanation: