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3 years ago

Eva's bedroom rug is 2 3/4 ft long and 2 1/2 ft wide what is the area of the rug

Mathematics

2 answers:

monitta3 years ago

7 0

(2x2) + (3/4 x 1/2)
= 4 + (3/8 x 1/8)
=4 + 4/8
= 4 4/8

den301095 [7]3 years ago

5 0

Exact Form: 55/8
Decimal: 6.875
Mixed Number: 6 7/8

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Mustafaâ€™s soccer team is planning a school dance as a fundraiser. The dj charges $200 and decorations cost $100. The team deci

Kaylis [27]

Question is Incomplete;Complete question is given below.

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

$5n - 300 = 1,500\\\\5n + 300 = 1,500\\ \\5n - 200 + 100n = 1,500\\\\5n - 100 -200n = 1,500$

Answer:

$5n - 300 = 1,500$

Step-by-step explanation:

Given:

Charges of DJ = $200

Decoration charges = $100

Profit need to be made = $1500

Charges per student to attend the dance = $5

We need to write the equation to find the number of students for to attend the dance in order to make profit.

Solution:

Let the number of student be represented by 'n'.

Now we can say that;

Profit to be made should be equal to Charges per student to attend the dance multiplied by number of students minus sum of Charges of DJ and Decoration charges.

framing in equation form we get;

$5n-(200+100)=1500\\\\5n-300=1500$

Hence the equation to find the number of students attending the dance is $5n - 300 = 1,500$

8 0

3 years ago

List the perfect cubes between 1000 and 3000 that are even numbers

ad-work [718]

12^3 = 1728; 14^3 = 2744;

5 0

3 years ago

A board of length 7 divided by the quantity x minus 2 end of quantity meters was cut into two pieces. If one piece is 3 divided

bulgar [2K]

Answer:

Length of other board $=\frac{4x+20}{x^{2} -4}$ metres

Step-by-step explanation:

Given: Length of board = $\frac{7}{x-2}$ metres

Length of board was divided into two.

Length of one piece = $\frac{3}{x+2}$ metres

Let $l$ = length of the other board

Length of the other board = Length of board - Length of one piece

So, $l=\frac{7}{x-2}-\frac{3}{x+2}$

$l=\frac{7(x+2)-3(x-2)}{(x-2)(x+2)} \\\\l=\frac{7x+14-3x+6}{x^{2} -4} \\\\l=\frac{4x+20}{x^{2} -4}$

Thus, length of the other board $=\frac{4x+20}{x^{2} -4}$ metres

4 0

3 years ago

Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19

Ratling [72]

{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      - 19    - 19 *subtract 19 to both sides
-9x    = x² - 6x -10
+9x + 9x *add 9x to both sides
0 = x² + 3x - 10
0 = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0 ; x - 2 = 0
x = -5    ; x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5 x = 2
y = -9(-5) + 19    y = -9(2) + 19
y = 45 + 19 y = -18 + 19
y = 64 y = 1

(-5,64) (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64) (2,1)
64 = (-5)² - 6(-5) + 9 1 = 2² - 6(2) + 9
64 = 25 + 30 + 9 1 = 4 - 12 + 9
64 = 64    1 = 1

y = -9x + 19
64 = -9(-5) + 19 1 = -9(2) + 19
64 = 45 + 19 1 = -18 + 19
64 = 64 1 = 1

{(-5,64), (2,1)}

3 0

3 years ago

Which one is prime number 2, 3, 5, 7, 13, 14, 15, 23, 25, 29, 30, 36, 61

soldier1979 [14.2K]

2,3,5,7,13,15,23,and 61 are all prime

5 0

3 years ago