The student council has a budget of $100 to spend on the balloons for the holiday dance. They order from a company that charges $2 per ballon, plus a $12 delivery fee per order. The student council uses the inequality below, where b represents the number of balloons ordered, to determine if they have enough money to place an order for a specific number of books. 2b+12<100

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)

Answer:

x=1

Step-by-step explanation:

2x-6=-6x+2

8x=8

x=1

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

Construyendo las ecuaciones, se encuentra que el total de años que acumulan los cuatro hijos de Rigoberto es dado por 4x + 6.

------------------------------------

El total de años es dado por:

[tex]x + x + 1 + x + 2 + x + 3 = 4x + 6[/tex]

4x + 6, segunda opción.

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Answer

4

Step-by-step explanation:

Lets assume that the variable "cu" is equal to 20cd. The value of this is 4. now we cancel out c from both sides, and get u = 20d = 4. Meaning d is 5, and u is 4. Lastly, u isnt a defined variable, so this shall work for any case.

Answer:

8962

Step-by-step explanation:

8×1+9...etc..etc

= 8962

Answer:

8.962

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Answer:

He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas

Step-by-step explanation:

Answer:

you can get 2 pizzas

Step-by-step explanation:

It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.

10+10=20

20+the delivery fee=24

Answer:

JD Drew will have 88 hits after 50 games

Step-by-step explanation:

Linear Modeling

It consists of modeling real-life situations by a function whose graph is a straight line.

The equation of a line can be expressed as:

h=m.g+b

h=number of hits JD Drew has

g=number of games

m,b= constant values

The problem provides two conditions: after 22 games, JD Drew has 32 hits. This is the point (22,32). Also, it has been given after 36 games he has 60 hits. This is the point (36,60).

Substituting the ordered pairs given, we have:

32=m.22+b

60=m.36+b

Subtracting both equations:

60 - 32 = 14m

28 = 14m

Solving:

m = 2

Using the first equation:

32 = (2)*22+b

32 = 44 + b

Solving:

b = -12

The model is now complete:

h = 2g - 12

Finally, calculate the number of hits for g=50 games:

h = 2*50 - 12

h = 100 - 12 = 88

JD Drew will have 88 hits after 50 games

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This triangle should be 180 degrees.

So you should add 80 and 45 and subtract it from 180 to get x.

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

The image of the floor dimensions is missing, so i have attached it.

Answer:

$88.92

Step-by-step explanation:

Looking at the attached floor plan, we have to divide it into two parts to solve easily.

To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m

Thus,bigger triangle measures; 3.6m x 2.4m

For the smaller triangle, dimensions are; 0.6m x 1.2m

Area of bigger triangle = 3.6 × 2.4 = 8.64 m²

Area of smaller triangle = 0.6 × 1.2 = 0.72 m²

Total area = 8.64 + 0.72 = 9.36 m²

Since the carpet costs $9.50 per sq.m.

Thus;

Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Answer:

Step-by-step explanation:

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Answer:

c

Step-by-step explanation:

dont quote me

Answer:

c.

Step-by-step explanation:

Answer:

3x^3-15x^2+18x

Step-by-step explanation:

Answer:

[tex]3x^{3}-15x^{2} +18x[/tex]

Step-by-step explanation:

In order to expand this expression you need to distribute the 3x to all the terms inside the parenthesis.

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

Answer:

Your fixed monthly charge is $13.25 and the charge per check is $0.15.

Step-by-step explanation:

The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:

x+23y=16.70

Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:

x+18y=15.95

You can use these equations to find the value of x and y:

x+23y=16.70 (1)

x+18y=15.95 (2)

where x is the fixed monthly fee and y is the charge for each check

First, you can solve fo x in (1)

x=16.70-23y (3)

Then, you can (3) in (2):

16.70-23y+18y=15.95

16.70-5y=15.95

16.70-15.95=5y

0.75=5y

y=0.75/5

y=0.15

Finally, you can replace the value of y in (3) to find x:

x=16.70-23(0.15)

x=16.70-3.45

x=13.25

According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.

Answer:

The artist makes profits when n>8.18

that is when the number of necklaces exeeds 8.18

Step-by-step explanation:

Given

let the number of necklaces be n

booth rent= $135

The cost of materials for the necklaces = $4.5n

the selling price for all the necklaces =$12n

total expenses= booth rent+cost of material = $135+4.5n

profit = selling price -total expenses

12n > 135 + 4.50n

solving for n we have

12n=135 + 4.50n

12n+4.5n=135

16.5n=135

n=135/16.5

n=8.18

The artist makes profits when n>8.18

Answer:

Hope this helps! <3

Answer: Multiply by 2

Step-by-step explanation:

4*2=8    7*2=14

8:14

4*3=12   7*3=21

12:21

4*4=16   7*4=28

16:28

Answer:

1The answer is 19.2

Step-by-step explanation:

24 - 4.8 = 19.2

the number is 30.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

a number Is decreased by 20% of itself, the result is 24.

let, the number =x

then, we get,

x *80% = 24

i.e. x* 4/5 = 24

so, x= 30.

hence, the number is 30.

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The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.

More formally, a function f from a set X to a set Y is denoted as f: X → Y

For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.

Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.

Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.

The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:

C(x) = 2(x - L) + 40

where:

C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).

L is the speed limit (in mph).

(x - L) represents the number of miles per hour over the speed limit that the car was traveling.

The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.

To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:

C(50) = 2(50 - 35) + 40

C(50) = 2(15) + 40

C(50) = 30 + 40

C(50) = $70

Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

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it should have 83 turkey and 83 ham and one extra.

Answer:

Slope is 3 and y-intercept is 2

Step-by-step explanation:

When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept

Answer:

B

Step-by-step explanation:

The basket is a base price of 5 dollars so there is no x, the basket can't go up in price nor down.

The cookies can though, you can either buy 1 or you can buy 50. Your final answer must be 31.

2x + 5 = 31  

     - 5    -5

2x = 26

÷2 .  ÷2

x = 13  

Answer:

150000

Step-by-step explanation:

i use cal

Answer:

It would be y=-6.