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3 years ago

Write 6 1/4% as a decimal and write out the solution.

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

6 1/4%=0.0625 you convert the percent into a decimal and that is what you get for the answer

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How many solutions does the equation

skelet666 [1.2K]

Answer:

The above equation has two solution !

x = 0 , x = 1

Step-by-step explanation:

[ Refer to the attachment ]

5 0

3 years ago

The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be

salantis [7]

Solving the system of equations, it is found that a viable time that the trains are side by side is given by:

B. 15 sec

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

$y = 14t^2$

$y = 130t + 1200$

They will be side by side when:

$14t^2 = 130t + 1200$

$14t^2 - 130t - 1200 = 0$

It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:

$\Delta = (-130)^2 - 4(14)(-1200) = 84100$

$x_1 = \frac{130 + \sqrt{84100}}{28} = 15$

$x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71$

Time is a non-negative measure, hence option B is correct.

More can be learned about a system of equations at brainly.com/question/24342899

5 0

2 years ago

Together, the areas of the rectangles sum to 30 square centimeters.

Juli2301 [7.4K]

Answer:

3x+2y

Step-by-step explanation:

Find the rectangles attached

Area of a rectangle = Length * Width

A = A1+A2

given

A = 30cm²

A1 = 3 * x

A1 = 3x

A2 = 2*y

A2 = 2y

Substitute

30 = 3x+2y

Hence the required equation is 3x+2y = 30

6 0

3 years ago

Cans of frozen orange juice are weighed to ensure they are not underfilled. Cans are independent, and the probability that a can

olga2289 [7]

Answer: 0.999986176

Step-by-step explanation:

To solve this, the probability distribution formula for selection will be used

Where P(x=r) = nCr * p^r * q^n-r

To get the probability that all 3cans are not overfilled, since the probability of success given in the question is that of a can being overfilled, then we will first derive the probability of having exactly 3cans being overfilled and subtract this gotten answer from 1

n= 3, r=3, p=0.024, q=1-0.024=0.976

When, 3 cans are overfilled, P(x=3) becomes:

P(x=3) = 3C3 * 0.024^3 * 0.976^0

P(x=3) = 1 * 0.000013824 * 1

P(x=3) = 0.000013824.

Then, probability that all three cans are not overfilled becomes :

1 - 0.000013824. = 0.999986176,

7 0

3 years ago

What is 70 + -50 x -2= ?

Nikitich [7]

Answer: 170

Step-by-step explanation:

First, we need to do multiplication.

-50 x -2 = 100 because 2 negatives make a positive.

70 + 100 = 170.

5 0

2 years ago