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3 years ago

6

Translate the following written expression into a mathematical expression. Then, find the expression's value when w = 6 and x =

3.
"The square of the difference of three times a number, w, and four times a number, x"

A. 900
B.6
C.36
D.81

1 answer:

den301095 [7]3 years ago

5 0

Answer:

27

Step-by-step explanation:

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If a dart board was thrown randomly at the dartboard shown below, what is the probability that it will land in the bull’s-eye? T

vampirchik [111]

Answer:

Correct option: C -> 2%

Step-by-step explanation:

To find this probability we just need to divide the area of the bull's-eye circle by the total area of the outer circle.

The area of a circle is given by the equation:

$area = \pi * radius^2$

The outer radius is 14 cm, so:

$outer\ area = \pi * 14^2 = 196\pi\ cm^2$

The inner radius is 2 cm, so:

$inner\ area = \pi * 2^2 = 4\pi\ cm^2$

So the probability is:

$inner\ area / outer\ area = 4\pi / 196\pi = 0.02 = 2\%$

Correct option: C

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3 years ago

You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

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3 years ago

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Fofino [41]

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3 years ago

Whats the awnser to the image that is selected?????

VikaD [51]

Answer:

30 units

Step-by-step explanation:

In order to find the length of the 3rd side of the triangle, the hypotenuse, you can use the Pythagorean Theorem. Using this method, you get 5^2+12^2=169. The square root of 169 is 13.

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2 years ago

Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.

boyakko [2]

Answer:

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:

can be factored as follows:

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.

i.e.

which can be factored as follows:

.

3 0

3 years ago

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