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ELEN [110]
2 years ago
7

At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount

of leftover cake. How much cake did each employee take home?
Mathematics
1 answer:
Alex777 [14]2 years ago
5 0

Answer:

3/20

Step-by-step explanation:

This is a division question.

The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.

When you divide fractions you have to flip the second number and multiply the two fractions.

So, you have to do 3/4 x 1/5 which is 3/20.

Thus, the answer is 3/20.

You might be interested in
If Q(x) = x2 – 2 – 2, find Q(-3).
dusya [7]

Answer: A (10)

Step-by-step explanation:

Plug in Q(-3) into formula x^2-x-2

(-3)^2-(-3)-2= 9+3-2

=10

7 0
3 years ago
a rectangle shape whose length is 4 inches less than twice its width. the area is 30 square inches. whats the dimension
Ne4ueva [31]
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"

So, the length the rectangle is 2" and the width is 3"
5 0
4 years ago
To verify the identity tan (x1+x2+x3) = tan x1 + tan x2 + tan x3 - tan x1 tan x2 tan x3 / 1 - tan x1 tan x2 - tan x2 tan x3
andrezito [222]

Answer:

The answer is the last one

tan(x_{1}+x_{2}+x_{3})=\frac{tanx_{1}+tan(x_{2}+x_{3})}{1-tanx_{1}tan(x_{2}+x_{3})}

Step-by-step explanation:

∵ tan(x_{1}+x_{2}+x_{3}=\frac{tanx_{1}+tan(x_{2}+x_{3})}{1-tanx_{1}tan(x_{2}+x_{3})}

=\frac{tanx_{1}+\frac{tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}}  }{1-tanx_{1}(\frac{tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}})}

Multiply up and down by 1-tanx_{2}tanx_{3}

\frac{tanx_{1}(1-tanx_{2}tanx_{3})+tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}-tanx_{1}tanx_{2}-tanx_{1}tanx_{3}}

=\frac{tanx_{1}+tanx_{2}+tanx_{3}-tanx_{1}tanx_{2}tanx_{3}}{1-tanx_{1}tanx_{2}-tanx_{2}tanx_{3}-tanx_{1}tanx_{3}}

7 0
3 years ago
Read 2 more answers
The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x
KiRa [710]
ANSWER

The value of x is,

17.5

EXPLANATION

We were given that the opposite angles of a parallelogram are

3x - 20 and x + 15.

The opposite angles of a parallelogram are equal.

We can write the equation below in x and use to find the value of x.

3x - 20 = x + 15

We group like terms to obtain,

3x - x = 15 + 20

This implies that,

2x = 35

We divide both sides of the equation by 2 to obtain,

x = 17.5
4 0
3 years ago
What is the value of "m" if m% of it is 49?​
Leona [35]

The answer is in the picture. Click on it

8 0
3 years ago
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