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True [87]
3 years ago
14

Simplify. assume that all variables represent positive real numbers.

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
Prime factor 396
2*2*3*3*11 = 396
So then 2*3 = 6 can be factored out of the sqrt from 396 leaving 11. half of the even exponent can also be factored out. since y has odd exponent one y will be left in sqrt.
= - 6 x^4 y^9 sqrt(11y)
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Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills
Varvara68 [4.7K]

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.

<h3>How to apply systems of linear equations in real life equations</h3>

In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:

<em>y = x - 5</em>     (1)

<em>0.5 · y =</em> <em>z</em>    (2)

<em>x + y + z = 6250</em>     (3)

The solution of the system of <em>linear</em> equations is described below:

<em>x =</em> 2503, <em>y =</em> 2498, <em>z =</em> 1249

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. \blacksquare

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

8 0
2 years ago
magine that you are conducting a one-variable chi-square test to investigate the hypothesis that there are equal numbers of cat
lilavasa [31]

Answer:

a. 135 is correct

Step-by-step explanation:

We have the following information:

dogs lover: 150

cats lover: 120

as the null hypothesis:

H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:

f = (150 + 120) / 2

f = 270/2 = 135

so option a. 135 is correct

5 0
4 years ago
Pair if trousers for 75 cedis and sold at 80 cedis. calculate the percentage profit​
Artyom0805 [142]

Answer:

6.7%

Step-by-step explanation:

cost: 75 cedis

sale price: 80 cedis

amount of profit: 80 cedis - 75 cedis = 5 cedis

Now we find what percent 5 cedis is of 75 cedis.

percent = part/whole * 100%

percent = 5/75 * 100%

percent = 0.06666 * 100%

percent = 6.6666%

percent = 6.7%

3 0
3 years ago
Please help! i need to submit this today!!!
guapka [62]

Answer:

31.5 cubic feet

Step-by-step explanation:

the formula to find the volume of a rectangular prism is v = <em>whl</em>

w = width

h = height

l = length

(3.5)(2)(4.5) = 31.5

8 0
4 years ago
What is the distance between (–6, 2) and (8, 10) on a coordinate grid?
bazaltina [42]
Distance Formula: d = √(x₂ - x₁)² + (y₂ - y₁)²

(-6 , 2) and (8 , 10)
 x₁   y₁         x₂    y₂

d = √(8 - (-6))² + (10 - 2)²
d = √(8+6)² + (10 - 2)²
d = √(14)² + (8)²
d = √(196) + (64)
d = √ 260
d = 2√65

I think this is right, but I am not sure.
5 0
4 years ago
Read 2 more answers
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