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4 years ago

What is 45 1/2% written as a fraction in simplest form

1 answer:

4 0

45.5% is equivalent to 45.5/100. To remove the decimal from the fraction, multiply both by the same factor of ten so they are integers: 455/1000. This can be cancelled down to 91/200 in its simplest form.

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I am going to mix a gallon bucket of window cleaner. The instruction direct you mix 1 part cleaner to 3 parts water. How much cl

Darya [45]

1 quart bc there will be one quart of the solution to 3 quarts water, equalling a gallon

7 0

3 years ago

Hi. Please I need help with these questions.

zhannawk [14.2K]

9514 1404 393

Answer:

8. 4 +2q²/p² -4r/p +r²/p²

9. (x, y) = (3/4, -17/8)

Step-by-step explanation:

All of these questions are asking you to make use of the fact that ...

α + β = -q/p

αβ = r/p

8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²

= 4 +2((α+β)² -2αβ) +(αβ)²

Substituting the above for the sum and product, you have ...

= 4 + 2((-q/p)² -2(r/p)) +(r/p)²

= 4 +2q²/p² -4r/p +r²/p²

9. This is asking for the vertex of the parabola. The x-coordinate is ...

x=-b/(2a) = -(-3)/(2(2) = 3/4

Then the y-coordinate is ...

y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8

The (x, y) values of interest are (3/4, -17/8).

3 0

3 years ago

A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is

slamgirl [31]

Answer:

(A) the selling price is $20 per yards, and the expected yards to be sold is 10,000 yards

the derivative f'(20) is negative, which means the fabric producing company will sell 350 fewer yards when selling price is $20 per yard

(B) = R'(20) = $3000

∴the company will get extra $3000 revenue when selling price is $20 per yard

Step-by-step explanation:

A. given that

f(20)= 10,000

f'(20)= -350(first derivative)

the selling price is $20 per yards, and the expected yards to be sold is 10,000 yards

the derivative f'(20) is negative, which means the higher the price, it wil reduce the number of yards to be sold making it 350 fewer yards

(B) R(p) = p f(p)

f(20)= 10,000

f'(20)= -350(first derivative)

R(p) = p f(p)

differentiate with respect to p, using product rule

R'(p) = p f' (p) + f(p) (first derivative)

where p = 20

R'(20) = 20 f' (20) + f(20)

R'(20) = 20(-350) + 10,000

R'(20) = -7000 + 10,000

R'(20) = $3000

∴ the revenue is increasing by $3000 for every selling sold yard and increase in price per yard

3 0

3 years ago

Pleaseeee helppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

LuckyWell [14K]

Since triangle STU and TVW are similar angle VWT and SUW are equal, this means:
106-5x=7x-14
(106)+(14)=(7x)+(5x)
120=(12x)
10=(x)
Angle VWT=106-5x=106-(5)(10)=56

6 0

3 years ago

Are these figure similar?

Phoenix [80]

Answer:

Yes. Its the same shape. It doesnt need to be the same size to be similar

Step-by-step explanation:

3 0

3 years ago