Mrs. William's class is doing coin drive to raise money for a charity. Students have brought a total of 64 quarters and nickels . The students have raised a total of $ 12. Find the number of quarters Mrs. William's class has collected .

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/[tex]12\sqrt{2} \\[/tex]

×12 root 2

sin(45) times 12 root 2=  12

x=12

Answer:

$6.98

Step-by-step explanation:

0.29x+1.23y=Total amount

x=pounds of potatoes

y=pounds of onions

Substitute:

0.29(3.7)+1.23(4.8)

Multiply:

1.073+5.904

Add:

6.977

Round:

6.98

Answer: $13.25 each ticket

Step-by-step explanation: 530 divided by 40

Answer:

1 pound for 90 cents

Step-by-step explanation:

7.20 / 8 = 0.90

5 star, thank, and brainliest if helpful

Answer: in attached

Step-by-step explanation:

See image

Answer:

Step-by-step explanation:

1). Unit rate = slope of the graph at x =1

   Unit rate means value of y at x = 1

   From the graph of the given function,

   (1, 2) is the point which defines the unit rate.

2). Table (1),

   If the data shows the proportional relationship,

   [tex]\frac{y_1}{x_1}=\frac{y_2}{x_2}[/tex]

   [tex]\frac{2}{6}=\frac{1}{3}[/tex]

   [tex]\frac{1}{3}= \frac{1}{3}[/tex]

   Therefore, table (1) represents the proportional relationship.

   Table (2),

   If the data given in table is proportional,

   [tex]\frac{y_1}{x_1}=\frac{y_2}{x_2}[/tex]

   [tex]\frac{8}{5}=\frac{4}{2}[/tex]

   [tex]\frac{8}{5}=\frac{2}{1}[/tex]

   Which is not true.

   Therefore, table (2) doesn't show the proportional relationship.

Answer:

15x+9y= 360----------1

x+y= 30--------------2

Step-by-step explanation:

Step one:

given data

let adult be x

and child be y

A hairstylist charges $15 for an adult haircut and $9 for a child haircut

She wants to earn $360 dollars

15x+9y= 360----------1

and cut 30 haircuts this week

x+y= 30--------------2

Step two:

Hence the system of equations for the situation is given as

15x+9y= 360----------1

x+y= 30--------------2

Answer:

The value of x = 8.5

The value of FG = 8.5 units

Step-by-step explanation:

Given

Determining the value of x

As F is between E and G, so

EF = FG

7 = 2(x-5)

7 = 2x-10

2x = 7+10

2x = 17

divide both sides by 2

2x/2 = 17/2

x = 8.5

Thus,

The value of x = 8.5

Determining the value of FG

As

FG = 2(x-5)

substituting x = 8.5

FG = 2(8.5 - 5)

FG = 2(3.5)

FG = 7

Thus,

The value of FG = 8.5 units

Summary:

The value of x = 8.5

The value of FG = 8.5 units

Answer:

    [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]      =   [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Step-by-step explanation:

Step(i):-

Given  expression

        [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]

      = [tex]\frac{(x+3) }{(x^{2} +1)}[/tex]

Step(ii):-

    = [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Answer:

im pretty sure its a

Step-by-step explanation:

Angle A (6x +11)  = 53

12x - 7 = 77

Answer:

ones

Step-by-step explanation:

^^^^^^^^^^

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Note: This question is very generic and incomplete. So, I will be using the general properties of operation for a general expressions for the sack of understanding and concept.

Solution:

There are several properties of arithmetic operations. But here, we will be discussing about the common properties of operations.

1. Commutative property of Addition

2. Commutative property of Multiplication

3. Associative property of Addition

4. Associative property of Multiplication

Let's Start,

1. Commutative property of Addition:

a + b = b + a

it means that if we add 2 to 3 or 3 to 2, the result will be same.

2 + 3 = 3 + 2

5 = 5

Similarly.

2. Commutative property of Multiplication:

a x b = b x a

it means that if we multiply 2 to 3 or 3 to 2, the result will be same.

2 x 3  = 3 x 2

6 = 6

3. Associative property of Addition:

Let's suppose we have 3 variables now,

a, b and c

so,

a + (b + c)  = (a + b) + c

2 + (3 + 5)  = (2 + 3) + 5

2 + (8) = (5) + 5

10 = 10

Similarly.

4. Associative property of Multiplication:

a x (b x c)  = (a x b) x c

2 x (3 x 5)  = (2 x 3) x 5

2 x ( 15) = (6) x 5

30 = 30

Hence, these operations are very useful in solving the bigger and complex questions in mathematics.

Answer:

89

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: you will spend 56$

Step-by-step explanation: 20% less is 2$ difference so you buy a medium pizza for 8$ times 7 is 56$

Answer:

slope m = (5+1)/(-6+8) = 6/2 =3

Answer:

B

Step-by-step explanation:

B

Answer:

35 more video games

Step-by-step explanation:

40 times 3 and then substract 85

120-85=35

Answer:

C≈16.34cm

Step-by-step explanation:

I think.

Answer:

C = 16.34

Step-by-step explanation:

If the radius is 2.6 cm, than the circumference is 16.34 cm.

The formula is c = pi x radius x 2

The answer is x-3. We don't know the brother's height, so we make it into a variable. You may pick any variable, but x is a common choice. We then subtract 3 from x, which would give us Aria's height. Since we don't know the height of the brother, we won't know Aria's height.

Answer:

x=12√2

y=45°

Step-by-step explanation:

as we know diagonal of a square

=a√2

=12√2

and

y=45°

Answer:

2

Step-by-step explanation:

because their gretest common factor is 2

Answer:

The greatest common factor of 6 and 14 is 2

Step-by-step explanation:

The GCF is the largest whole number that goes into both of the other numbers

Hope this helps :-)