find the area........

Let Total = t, adult tickets = a, children's ticket = c, total cost = T

t = a + c

T = 8a + 5.50c

is your system equation.

hope this helps

23s+56s=21

79s=21

79/79    21/79

s=0.265822785

If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.

your answer is 32,500,000

34' of 34 into 45. that's your answer.

Answer:

[tex]\frac{1}{5} -12=-7[/tex]

Answer:

z = 131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

z - 49 - 13 = 59

Step 2: Solve for z

Answer:

[tex] \small \sf \: z = \fbox{121}[/tex]

Step-by-step explanation:

z - 49 - 13 = 59

We need to find z.

solve for z

z - 49 - 13 = 59

z - 62 = 59

z - 62 + 62 = 59 + 62

z = 59 + 62

z = 121

5. Simple multiplication: 12 * 4 = 48 books in total

6. Simple multiplication: 29 * 4 = 116 cards in total

7. You could turn 5 * 198 into (5 * 200) - (5 * 10) using the Distributive Property and use mental math to solve

8. subtraction, multiplication

9. Simple multiplication: 5 * 78 = $3.90, so C

Answer:

The numbers are a= 4 and b= 8.

Step-by-step explanation:

Let the unknowns number be a and b.

assume a>b.

As per the given condition: The sum of two number is 12 and the difference of the same is -4.

from the above conditions we have:

[tex]a+b =12[/tex]      ......[1]

[tex]a-b=-4[/tex]        ......[2]

Now, adding equations, we will eliminate b leaving an equation in a that we can solve:

⇒ [1]+[2] gives;

[tex](a+b)+(a-b)=12+(-4)[/tex] or

[tex]a+b+a-b=12-4[/tex]

Simplify:

[tex]2a=8[/tex]

Divide by 2 on both sides, we get

[tex]\frac{2a}{2}= \frac{8}{2}[/tex]

Simplify:

a=4

Substitute the value of a= 4 in equation [1] . to solve for b;

[tex]4+b=12[/tex] or

b= 12-4 =8

Therefore, the numbers a and b are 4 and 8

a. 2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

x=16

one solution

b. 17+5x=23+4x-6+x

17+5x=17+5x

infinite number of solutions

c. 7x+4=5x+8+2x-10

7x+4=7x-2

no solution

(a) 2x + 3x - 6 = 10 + 4x  ---> Answer: x = 16, it has one solution, it is an identity.

Adding the like terms on the same side of the equation to solve for x:

2x + 3x - 4x = 10 + 6

x = 16

(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction

Adding the like terms on the same side of the equation to solve for x:

5x - 4x - x = 23 - 17 - 6

5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)

(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.

Adding the like terms on the same side of the equation to solve for x:

7x - 5x - 2x = -10 + 8 - 4

7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.

1.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

Super Fit charges a one-time registration fee of $150, and membership is $10 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

(b) Write an expression to represent the membership cost of Super Fit for x months

Let x = months

10x + 150 is your expression

(c) You are solving for both one month and twelve months of membership.

One month: Plug in 1 for x.

20(1) + 60 = 20 + 60 = 80

10(1) + 150 = 10 + 150 = 160

Platinum Gym is cheaper overall for one month by $80

One year: There are twelve months in a year. Plug in 12 for x.

20(12) + 60 = 240 + 60 = 300

10(12) + 150 = 120 + 150 = 270

Super Fit is cheaper than Platinum Gym overall for one year by $30

(d) Set the two expression equal to each other.

20x + 60 = 10x + 150

Isolate the x. Subtract 10x and 60 from both sides

20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)

20x - 10x = 150 - 60

Simplify

20x - 10x = 150 - 60

10x = 90

Isolate the x. Divide 10 from both sides

10x/10 = 90/10

x = 9

It takes 9 months for the cost to be the same.

(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.

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hope this helps

Answer:

y = 5x

D is the correct option.

Step-by-step explanation:

We have been given that sheltie puppy gets 2.5 cups of food twice per day.

It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.

The equation will be linear.

Let y be the number of cups of food she eat and x is the number of days.

Hence, we have

Slope = 5

And the equation that represents the number of cups of food she eats is given by

y = 5x

D is the correct option.

Answer:

D) y = 5x

Step-by-step explanation:

D is the correct answer.

Hope this helps!

$100 worth of groceries.

Answer:Noah runs the fastest, u gave me the wrong answer!!!!!!!!!

Step-by-step explanation:

732 ÷ 42 = 17.42857143

Rounding up the answer to nearest whole number gives 17

1. Make the equation. The product of the number and 6 equals the sum of the number and 45, so the equation would be 6x = x + 45.

2. Subtract x from both sides. You'll get 6x - x = 45.

3. You can combine like-terms by subtracting 6x - x. This is the same as 6x - 1x, which is 5x. You'll get 5x = 45.

4. Divide both sides by 5 to get x = 9.

Therefore, the number is 9.

The equation format for point-slope form is y-y1 = m(x-x1)

The slope is M, which is given as -1/5

You are given a point of (7,2) which would be x1 and y1.

replace x1 and y1 in the equation with the appropriate numbers:

x1 = 7, y1 = 2

The equation becomes y - 2 = -1/5x -7

The answers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

All of these number CANNOT be divided by any number (or cannot have any smaller numbers multiplied together to make it) besides 1 and itself (1 * 5 = 5).

480

This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.

Well the equation is rate*time=work/distance(in this case total vibrations)

Now we plug in the numbers:

(we know that 120 times per second is the rate because it uses the word per)

(4 seconds is the time because the unit is just seconds)

12*4=48*10=480

120*4=480

The answer is 480 vibrations

Hope this helps :)

The answer is B.

To find the answer you can immediately cross out A and C. You're left with a mixture of ingredients that turn into a cake or choclate melting. Chocolate melting is a physical change so by using the process of elimination you can conclude that B is the correct answer.

Answer:

The correct answer is option B.

Step-by-step explanation:

We call chemical change to the process where two or more substances are transformed into other substances.

During this change, the substances will have a modification in the structure of their molecules and their bonds.

In the case of the example we can see how different substances (flour, sugar, eggs and butter) will change the shape of their structure to form another substance: the cake. This cake will receive the name of product.

Given this information, we can say that the correct answer is option B.

4x6-24/4

24-24/4

24-6

Answer: 18

it is -6

-3x2=-6

do 3x2 (6) but add the negative after

Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.

To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.

-3: This is a negative constant, representing the number -3.

×: This symbol represents the multiplication operation.

2: This is a positive constant, representing the number 2.

Now, perform the multiplication:

-3 × 2 = -6

So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.

Learn more about multiplication operation on:

https://brainly.com/question/29793687

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the answer is 5.5.5.5.5 because i just did the math

3 the opposite as in |-3|

is 3

First you have to divide 1,230 by 6:

1,230 ÷ 6 = 205

She will need 205 pages to display all 1,230 of her cards

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

The repeating decimal 2.26 (with 26 repeating) is converted to a fraction by setting it as 'x', scaling by 100, subtracting the original x, and then simplifying to get the fraction 224/99.

To convert the repeating decimal 2.26 (with 26 repeating) to a fraction, we use the following steps:

We now have our fraction, which is 224/99.

5 x 4= 20

20 students play basketball.

5 x 4= 20

20 students play basketball.