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2 years ago

A square number and a multiple of 3 have a total of 90 what r the 2 numbers

Mathematics

1 answer:

Alecsey [184]2 years ago

7 0

Hello,

Let's x² the square number

and 3*y the multiple of 3.

$x^2+3y=90\\\\\boxed{y=-\dfrac{1}{3} x^2+30}\\\\$

2 solutions : for (x,y) as integers : (-6,18) and (6,18)

but one solution for (x²,3y) as integers :<u> (36,54) </u>

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Ryan is remodeling his kitchen floor, which is 110 square feet. He used

irakobra [83]

Answer:

He will need 9 tiles

Step-by-step explanation:

Step one:

let us highlight the given parameters

Given data

the size of the kitchen floor is 110 ft^2

the size of the bathroom is 28 ft^2

he used 32.5 tiles for the kitchen

and used x tiles for the bathroom

Step two:

if he used 32 tiles for 110 ft^2 kitchen

he will use x tiles for 28 ft^2 bathroom

cross multiplying we have

x= (32*28)/110

x= 896/110

x= 8.145

<em>Approximately he will need 9 tiles</em>

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2 years ago

Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?

ZanzabumX [31]

Answer:

The fraction of cup filled with water is 3/4.

Step-by-step explanation:

Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?

Capacity = 2/3 L

Amount of water = 1/2 L

Fraction of amount of water to the capacity of mug is

$\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}$

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2 years ago

The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?

Allisa [31]

Answer:

-3/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.

8 0

2 years ago

Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. What eq

andrezito [222]

Answer:

yea

Step-by-step explanation:

4 0

2 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago