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igomit [66]
3 years ago
8

49.5 is what percent of 33

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0



  49.5 over 33 and X over 100 cross multiply so multiply 33 by x you get 33x then multiply 100 by 49.5 you get 4,950 then divide 4,950 by whatever is in front of X so 33 4,950 divided by 33 equals 150%
49.5/33   X/100   49.5x100= 4,950    33* x = 33x  4,950/33=150
                               -HOPE THIS HELPED<3



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Hasib earns 30 cents for every carrot he sells.
Anna [14]

Answer:

He must sell 1390 carrots

Step-by-step explanation:

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

1387.5

multiply 30 by .3 to get $9 for 30 carrots

Then add $3 to this amount to get $12 dollars.

Divide 555 by 12 to get 46 R3.

Multiply 46 by 30 because its 46 bundles of 30 carrots

Then divide the 3 dollars by .3 for each carrot to get 10 carrots

1380+10 = 1390

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3 years ago
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What is the formula for the system of equation usign the substitution?
olga_2 [115]
We can substitute<span> y in the second </span>equation<span> with the first </span>equation<span> since y = y. The solution of the </span>linear<span> system is (1, 6). You can use the </span>substitution method<span> even if both </span>equations<span> of the </span>linear<span> system are in standard form. Just begin by solving one of the </span>equations<span> for one of its variables.</span>
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3 years ago
A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight va
-BARSIC- [3]

The associated z score for filling to 10.98 oz. is -1.16.

<h3>Z score</h3>

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation.

Given that μ = 12.01, σ = 0.89, hence:

For x = 10.98:

z = (10.98 - 12.01)/0.89 = -1.16

The associated z score for filling to 10.98 oz. is -1.16.

Find out more on Z score at: brainly.com/question/25638875

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2 years ago
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Morgarella [4.7K]

Answer:

y = 11 - 10cos(0.1\pi t)

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

y = h_g + d_b = h_g + R - d_c (1)

where h_g = 1 is vertical distance from the ground to the bottom of the wheel, d_b is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, d_c is the vertical distance of the person to the center of the wheel.

So solve for d_c in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)

Note that d_c is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)

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3 years ago
Question 8 (2 points)
SashulF [63]

Answer:

\mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if x=\frac{1}{2} is the solution to the equation: 4x+12-8x=-1+2x+10

Solving the equation first to find value of x

4x+12-8x=-1+2x+10

Combining like terms:

4x-8x+12=2x+10-1\\-4x+12=2x+9

Subtracting 2x on both sides

-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9

Now, subtracting 12 on both sides

-6x+12-12=9-12\\-6x=-3\\

Divide both sides by -6

\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}

So, we get  \mathbf{x=\frac{1}{2}}

Therefore we can say that \mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

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3 years ago
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