3/5 ÷ 1/4 – 2/5 ^2 (these are fractions and ^2 this is a exponent)

Answer:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]b = blue[/tex]

[tex]y = yellow[/tex]

[tex]r = red[/tex]

Required

Represent as a matrix

For Sammy:

[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]

So, we have:

[tex]2b + 1y + 3r = 1500[/tex]

[tex]2b + y + 3r = 1500[/tex]

For Jamie:

[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]

So, we have:

[tex]1b + 2y + 2r = 1225[/tex]

[tex]b + 2y + 2r = 1225[/tex]

For Yvonne:

[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]

So, we have:

[tex]2b + 3y + 1r = 1200[/tex]

[tex]2b + 3y + r = 1200[/tex]

The system of equations are:

[tex]2b + y + 3r = 1500[/tex]

[tex]b + 2y + 2r = 1225[/tex]

[tex]2b + 3y + r = 1200[/tex]

To represent as a matrix, we have:

[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]  [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]

This gives:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Ali = Y

Bha = 2Y

Cer = Y - 3

Then

Y + 2Y + Y-3 = 125

4Y - 3 = 125

4Y = 128

Ali = Y = 32

Bha = 2Y = 64

Cer = Y - 3 = 29

Hope it Helps :)

The ages of each person are,

⇒ Ali years = 32

⇒ Bhavana years = 64

⇒ Ceris years = 29

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Ali is y years old.

Bhavara is twice as old as Ali.

Ceris is 3 years younger than Ali.

And, The total of their ages is 125 years.

Now,

Since, The age of Ali = y

And, Bhavara is twice as old as Ali.

Hence, The age of Bhavara = 2y

And, Ceris is 3 years younger than Ali.

Hence, The age of Ceris = y - 3

Here, The total of their ages is 125 years.

Hence, We get;

⇒ y + 2y + y - 3 = 125

⇒ 4y - 3 = 125

⇒ 4y = 125 + 3

⇒ 4y = 128

⇒ y = 32

Thus, We get;

The age of Ali = 32 years

The age of Bhavara = 2y

                              = 2 × 32

                              = 64 years

The age of Ceris = y - 3

                          = 32 - 3

                          = 29 years

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Answer:

Sale Tax: $13.14

After-Tax Price: $195.64

Step-by-step explanation:

Answer:

3.33333333333+1/3=3.6666666666666666

Answer:

yup you're correct, nice job

Answer:

Number of regular packs sent = 13

Step-by-step explanation:

Let,

x be the number of regular packs shipped

y be the number of super packs shipped

According to given statement;

x+y=32     Eqn 1

4x+6y=166    Eqn 2

Multiplying Eqn 1 by 4

4(x+y=32)

4x+4y=128     Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=166-128

4x+6y-4x-4y=38

2y=38

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]

Putting y=19 in Eqn 1

x+19=32

x=32-19

x= 13

Hence,

Number of regular packs sent = 13

Answer:

Option C i.e. 2 and 9, constants have a fixed value is a correct option.

Step-by-step explanation:

In algebra, a constant is basically a fixed value.

Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.

For example: in ''2x+7=3'', 7 and 3 are constants.

In our case:

Given the equation

[tex]3x+2=9[/tex]

Therefore, 2 and 9 are constants, having a fixed value.

Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.

Answer:

[tex]y = 4x + 6[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Fee = \$6.00[/tex]

[tex]Rate = \$4.00[/tex]

Required

Derive the linear equation

Let the number of games be x.

Let the total cost be y

So, if the rate of 1 game is $4

Then x games costs 4x

The total cost (y) is then calculated as:

y = Initial Fee + Cost of x games

Substitute values for initial fee and cost of x games

[tex]y = 6 + 4x[/tex]

Rewrite as:

[tex]y = 4x + 6[/tex]

Answer:

$552.50

Step-by-step explanation:

650×.15=97.5

650-97.5=552.5

Answer:

Rob made 31, and Matt made 24

Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

Answer:

24 cups of lemonade

Step-by-step explanation:

Rob made 7 more then Matt. You could say that Matt made 24 and Rob made 31 and it would be correct.

[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]

[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]

[tex]54x - 162 = 60x + 60[/tex]

[tex] - 222 = 6x[/tex]

[tex]x = - 37[/tex]

I guess it's right.We learnt this way in Turkey.

Answer:

B

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer: 200 seats

Step-by-step explanation:

There are 96 students and 34 adults in a concert. The total number of people present is therefore:

= 96 + 34

= 130 people

These 130 people only fill 65% of the seats. Assume the total number of seats is x:

130 = 65% * x

x = 130/65%

x = 200 seats

Answer:

a number divided by eight, plus four

Answer:

-11 im pretty sure

Step-by-step explanation:

Answer:

60 - 12 = 48

48/1.5= 32

32 songs

Answer:

Option A

Step-by-step explanation:

From the triangle given in the picture,

By applying sine rule,

sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{a}{7}[/tex]

a = [tex]\frac{7\sqrt{3} }{2}[/tex]

Similarly, by cosine rule,

cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}= \frac{b}{7}[/tex]

b = [tex]\frac{7}{2}[/tex]

Therefore, Option A will be the correct option.

Answer:

The end equation you get is p = 6x - 8

Step-by-step explanation:

p = 2l + 2w

p = 2(x + 5) + 2(2x - 9)

p = 2x + 10 + 4x - 18

p = 6x - 8

An expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.

Given that, a rectangle has a length of x + 5 and a width of 2x-9.

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

The formula for the perimeter of a rectangle is, P = 2L + 2W,

Now, substitute L=x+5 and W=2x-9 in perimeter formula and simplify,

P=2(x+5)+2(2x-9)

=2x+10+4x-18

=6x-8

=2(3x-4)

Therefore, an expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.

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Answer:

(−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

I really hope it helps!

Good Luck!

Answer:

The answer is 2, 3, 5, 7, 11.​

Step-by-step explanation:

Answer:

3x=78+x-2

Step-by-step explanation:

Answer: 3x = 78 + x - 2

Step-by-step explanation:

Answer:

Y=16

X=32

Step-by-step explanation:

ï just know you need to do more meth

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Answer:

r≈3.57in

Step-by-step explanation: