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Veseljchak [2.6K]
3 years ago
5

Uma escola possui 2500 alunos matriculados e 1200 foram selecionados para participar de um concurso de redação. Qual é a razão q

ue representa o total de alunos selecionados?
Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

12:25

Step-by-step explanation:

Número de alunos matriculados: 2.500

Número de alunos selecionados: 1.200

A proporção que representa o número total de alunos selecionados em relação ao número de alunos matriculados é dada como:

Número de alunos selecionados: Número de alunos matriculados

= 1200: 2500

= 12 : 25

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Find the circumference of this circle. Round to the nearest tenth.<br><br> Area= 63.6 inches squared
Virty [35]

Answer:

C = 28.048

Step-by-step explanation:

Circumference = 2pi(r)

Area = pi(r)^2

62.6 = pi(r)^2

r^2 = 62.6/pi

r^2 = 19.926

r = 4.464

Therefore, circumference = 2pi(4.464)

= 28.048

3 0
3 years ago
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Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate
Afina-wow [57]

Answer:

B

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

E=\frac{C*r}{1-(1+r)^{-n}}

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31

So, the correct answer is B

3 0
3 years ago
Find the radius of the circle if the center is at (1, 2) and the point (-3, 4) lies on the circle.
Anton [14]

Answer:

2√5

Step-by-step explanation:

The radius is the distance from the center to a point anywhere along the edge of the circle. To find the distance between these two points, use the distance formula.

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(1--3)^2 + (2-4)^2}\\ d = \sqrt{4^2 + -2^2}\\ d = \sqrt{16 + 4}\\ d = \sqrt{20} \\d = 2\sqrt{5}

7 0
3 years ago
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HELP ASAP Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and To
DENIUS [597]

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

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6 0
3 years ago
Write and graph a system of inequalities that models the situation.
liubo4ka [24]

Answer:

The feasible region in the attached figure

Step-by-step explanation:

Let

x ----> the number of shirts

y ----> the number of pants

we know that

The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80

so

The inequality that represent this problem is

5x+8y\leq 80

using a graphing tool

The feasible region is the triangular shaded area

see the attached figure

7 0
3 years ago
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