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Mamont248 [21]
3 years ago
13

Gina wants to make

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

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On April 11, 2012, two earthquakes were measured off the northwest coast of Sumatra. The first had a magnitude of 8.6. The secon
Hoochie [10]

Answer:

Option D. 2.51 is correct.

Step-by-step explanation:

Magnitude of first earthquake = 8.6

Let intensity of first earthquake be x

Magnitude = \log(\frac{x}{S}),\text{ where S is seismographic factor}\\\\\implies 8.6=\log(\frac{x}{S}).......(1)

Magnitude of second earthquake = 8.2

Let intensity of second earthquake be y

Magnitude = \log(\frac{y}{S}),\text{ where S is seismographic factor}\\\\\implies 8.2=\log(\frac{y}{S}).......(2)

Now, to find the factor by which intensity of first earthquake is greater than intensity of second : we divide equation (1) by equation (2)

\implies\log(\frac{x}{y})=8.6 - 8.2\\\\\implies \log(\frac{x}{y})=0.4\\\\\implies\frac{x}{y}=10^{0.4}\\\\\implies\frac{x}{y}=2.51

Hence the required factor is 2.51

Therefore, Option D. 2.51 is correct.

4 0
3 years ago
A storage unit is in the shape of a cube with 8 feet edge lengths what is the surface area of the storage unit
Inessa05 [86]
Cube has 6 faces that are square
area of square=side^2
side=8
SA=6s^2
SA=6(8^2)
SA=6(64)
SA=384 ft^2
4 0
3 years ago
Read 2 more answers
List the steps used to solve the equation below.
pychu [463]

Answer:

- 1

Step-by-step explanation:

2x + 3 = x - 4

2x - x = - 4 + 3

x = - 1

The solution to the above equation is - 1.

4 0
3 years ago
PLEASE HELP !!!!!!!!!!!!
V125BC [204]
The answer would be b - associate w it
3 0
3 years ago
Find the value of x.
olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In \triangle BAC, \: DE || AC

Hence, by basic proportionality theorem:

\frac{x + 2}{x}  =  \frac{3}{2}  \\  \\  \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\  \huge \red { \boxed{\therefore \:x = 4}}

7 0
3 years ago
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