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3 years ago

From $90 to $39. What is the percent of change? (round to nearest WHOLE percent)

Mathematics

2 answers:

DENIUS [597]3 years ago

7 0

The percentage would be 51% but if you want to round it the answer is 50%

sineoko [7]3 years ago

6 0

Answer: 43% (rounded)

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Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py

Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. $c^2=a^2+b^2$

Here, $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

Substitute the values,

$(x^2+1)^2=(x^2-1)^2+(2x)^2$

$x^4+1+2x^2=x^4+1-2x^2+4x^2$

$x^4+1+2x^2=x^4+1+2x^2$

LHS=RHS

It is a right triangle.

7 0

3 years ago

What is solution to the system of equations? Y=5×+2 3×=-y+10

Sergio [31]

Y = 5x + 2
3x = y + 10

3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6

substitute x = -6 into y = 5x + 2

y = 5(-6) + 2
y = -30 + 2
y = -28

x = -6, y = -28

hope this helped, God bless!

4 0

3 years ago

Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of pre

Maru [420]

Answer:

The large sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = $\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

$0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }$

√n = $\frac{2 X0.4330}{0.08} = 10.825$

squaring on both sides , we get

n = 117.07

Final answer:-

The large sample n = 117.07

6 0

2 years ago

What is the greatest common factor of 40 and 27?

Olenka [21]

To find the greatest common factor of 40 and 27, we can first start by making a list of factors for each number.

The factors of 27 are: 1, 3, 9, 27

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

When looking at these numbers, we can see that 1 is the greatest common factor of both 40 and 27.

7 0

3 years ago

Leslie decides to join a gym. She must pay a monthly fee plus a one time fee to open a membership. This situation can be modeled

omeli [17]

Step-by-step explanation:

Given function is,

$y=55x+80$

Where,

y = amount paid to the gym in dollars

x = number of months

So when x = 0, y =55(0)+80 = 80

i.e when number of months is 0, you have to pay a fee of $80.

This is the one time fee to open a membership.

After that for each month you have to pay $55 for each months.

So 55 is multiplied with x.

3 0

2 years ago