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san4es73 [151]
3 years ago
8

Which expression equivalent to 9x^5 y^16 over 45x^5 y^4

Mathematics
2 answers:
agasfer [191]3 years ago
8 0

the answer after simplify is:

\frac{ 9{x}^{5} {y}^{16}  }{45 {x}^{5} {y}^{4}  }  =  \frac{ {y}^{12} }{5}

ELEN [110]3 years ago
3 0

Answer:

\large\boxed{\dfrac{1}{5}y^{12}}

Step-by-step explanation:

\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{9x^5y^{16}}{45x^5y^4}=\dfrac{9\!\!\!\!\diagup^1}{45\!\!\!\!\!\diagup_5}x^{5-5}y^{16-4}=\dfrac{1}{5}y^{12}

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Sally took out a $50,000 life insurance policy. The $50,000 amount of coverage is called the:
olga55 [171]

Answer:

The $50,000 amount of coverage is called the Death benefit or face value.

Step-by-step explanation:

Consider the provided information.

Sally took out a $50,000 life insurance policy.

The face value, or death benefit is the amount of money a life insurance policy would pay upon the insured person's death to the beneficiary.

Hence, the $50,000 amount of coverage is called the Death benefit or face value.

6 0
3 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
Nikitich [7]

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

4 0
2 years ago
Read 2 more answers
At barlow school 4/9 of the 873 students are boys at willow school 2/3 of the 630 students are girls which school has the greate
marishachu [46]

Answer:

There are 178 more boys in Barlow school as compared to Willow school.

Step-by-step explanation:

We are given the following in the question:

Barlow school:

Total number of students = 873

Number of boys =

=\dfrac{4}{9}\times 873 = 388

Willow school:

Total number of students = 630

Number of girls =

=\dfrac{2}{3}\times 630 = 420

Number of boys =

Total number of students - total number of girls

=630-420 = 210

Thus, Barlow school has greater number of boys than Willow school.

Difference between the number of boys =

=388-210\\=178

Thus, there are 178 more boys in Barlow school as compared to Willow school.

7 0
3 years ago
A rational and an irrational number between 3.99 and 4
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The rational numbers would be 3.99 and 4 while there are no irrational number. A rational number is a number that can be written as a fraction for 3.99 it can be written as 399/100 and its the simplest form of the fraction. Also, 4 is a rational number since it can be written as 4/1 which is a fraction.
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3 years ago
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