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4 years ago

Jayson used 0.5 cup of kernels to make

Mathematics

2 answers:

Dennis_Churaev [7]4 years ago

6 0

The right answer is Option C.

Step-by-step explanation:

Cups of kernel used = 0.5

Cups of popcorn made = 16

Ratio of kernel used to popcorn made = 0.5:16

New cups of kernel used = 0.75

Let,

x be the new number of cups of popcorn.

Ratio of kernels to popcorn made = 0.75:x

Using proportion,

Ratio of kernel used to popcorn made :: Ratio of kernel to popcorn

$0.5:16::0.75:x$

Product of mean = Product of extreme

$16*0.75=0.5*x\\12=0.5x\\0.5x=12\\$

Dividing both sides by 0.5

$\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24$

24 cups of popcorn can be made from 0.75 cups of kernels.

The right answer is Option C.

Keywords: Ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

Grace [21]4 years ago

3 0

28 cups

Step-by-step explanation:

cause i said so

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3 years ago

Read 2 more answers

Assume Earth and a cloud layer 770 m above the Earth can be treated as plates of a parallel-plate capacitor.

Travka [436]

Answer:

(a) 1.15×10⁻⁸ F.

(b) 1.5×10⁻⁸ C.

Step-by-step explanation:

(a)

Capacitance of a capacitor: This is the ability for a capacitor to store charge.

The S.I unit of capacitance of a capacitor is Farad (F).

Mathematically, it is represented as

C = ε₀A/d² ................. Equation 1

Where C = Capacitance of the capacitor, ε₀ = permitivity of free space, A = area of the plates, d = distance between the plates.

Given: A = 1×10⁶ m². d = 770 m

Constant: ε₀ = 8.85×10⁻¹² F/m

Substituting these values into equation 1

C = 8.85×10⁻¹²(1×10⁶ )/770

C = 8.85×10⁻⁶/770

C= 0.0115×10⁻⁶

C = 1.15×10⁻⁸ F.

Thus the capacitance of the cloud layer = 1.15×10⁻⁸ F.

(b)

Electric Field Strength: This is the force per unit charge which is exerted at a point in a in a electric field.

It can be represented mathematically as

E = kq/d²........................... Equation 2

Where E = Electric Field Strength, q = charge, d = distance. k = proportionality constant.

Making q the subject of the equation above,

q = Ed²/k ........................... Equation 3.

Given: E = 2×10⁶ N/C, d = 770 m

Constant: k = 1/4πε₀ = 9×10⁹ Nm²/C²

Substituting these values into equation 3

q = 2×10⁶(770)²/(9×10⁹)

q = (2×10⁶)(592900)/(81×10¹⁸)

q = 14639.5×10⁻¹²

q ≈ 1.5×10⁻⁸ C.

Thus the charge the cloud can hold = 1.5×10⁻⁸ C.

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4 years ago

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emmainna [20.7K]

Answer:

$g^{-1}$ (x)=- $\frac{3x}{2}$ - $\frac{15}{2}$

Step-by-step explanation:

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3 years ago

Write an equation of the line passing through (-6, 1) that is perpendicular to the line 2x -5y = 2

Bess [88]

Answer:

y= -5/2 x + 14 (point slope form)

2y+5x=28 (standard form)

Step-by-step explanation:

Perpendicular lines met the following condition

m1*m2=-1 (the product of their slopes is -1)

To obtain m2, the slope of our desired line lets first re arrange the equation of the first line. 2x-5y=2, so. 2x-2=5y.

Isolating y, leads the following, result: y= 2/5 x - 2/5

m1=2/5

m2 is =-5/2

The equation of our desired line is the following

y=mx+b, we have m, which is -5/2, but still need to find value for b.

Lets now evaluate the above equation in the given point (-6,1).

1=-6 * -5/2 + b.

b=14.

Now we can say the equation that our desired line is

y= -5/2 x + 14 (point slope form)

Or... If we group variables 'x' and 'y' together

y+5/2 x = 14, we want integer coefficients, so lets multiply this expression by 2, to obtain the following:

2y+5x=28

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Arlecino [84]

Answer:

Step-by-step explanation:

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3 years ago