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Diano4ka-milaya [45]
3 years ago
5

for every 5 pounds of pasta served , 15 people can be fed. how many people can be fed with 4 pounds of pasta?

Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Answer:

12

Step-by-step explanation:

its direct proportion. 15 divided by 5 is 3 so you must multiply 3 by 4 to get the amount of people, which is 12

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A group of friends wants to go to the amusement park. They have $469.75 to spend on parking and admission. Parking is $10.75, an
attashe74 [19]

Answer:

12

Step-by-step explanation:

469.75-10.75 =

459 ÷ 38.25 =

12

8 0
2 years ago
Find the value of x in the parallelogram
lord [1]

Answer:

72 = x

Step-by-step explanation

154 is one of the degrees for that angle. And I seen 82 for the other one.

All you have to do is subtract 154 and 82 and you get 72.

8 0
3 years ago
A rectangular shaped garden has an area of 80 square feet. The length is 5 less than twice the width. What are the dimensions of
Gnom [1K]

Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

56 2/3-5

So, Length=51 2/3

4 0
2 years ago
How to solve this :') please help
blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\

Use \cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1

so

\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}

7 0
2 years ago
Find the slope of the graph of C
alexandr402 [8]

Step-by-step explanation:

the slope of a line or linear equation is always the factor of the driving variable.

usually in the form of

y = ax + b

x is the variable, and a the slope.

but in our case the variable is called "n".

it does not matter, the same principle applies.

the slope is the factor of n : 1050.

and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.

so, the third answer is correct.

7 0
2 years ago
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