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luda_lava [24]
2 years ago
8

An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received

by his opponent. The new councilman received 2763 votes. How many votes did his opponent receive?
Mathematics
1 answer:
damaskus [11]2 years ago
4 0

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

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Which of these ratios is NOT the same (not equivalent)? 12/4 12:3 4 to 1 24:6
Margaret [11]

The answer is A: 12/4.

5 0
3 years ago
Read 2 more answers
One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of
stira [4]

Answer:

StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction

Step-by-step explanation:

\frac{1.55}{1}  =  \frac{x}{3.5}  \\  \\  \therefore \: x = 1.55 \times 3.5 \\  \\ \therefore \: x = \$ 5.425 \\  \\\therefore \: x\approx  \$5.43

4 0
2 years ago
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A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili
____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2

Area of square,

A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2

Now, probability is given by :

P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785

Therefore, the probability that the point is inside the circle is 0.785 .

4 0
2 years ago
I need help figuring this out asap please
Vera_Pavlovna [14]

Answer:

38.13 ft squared

Step-by-step explanation:

Since it is half of a circle we first find the area of a normal circle then divide by two.

So to find the area of  a circle it is pi times radius squared which in this case it would be 3.14 times 9 = 28.26

Then since it is a half circle we divide by two so

28.26/2 = 14.13

Then to find the area of the triangle we do 4 times 6 which is 24.

now we add the two which is 14.13 + 24 which is

38.13

4 0
3 years ago
Simplify: 20 sin(2x) cos(2x)
alexandr1967 [171]
Use the the double angle formula:
sin(2A)=2sin(A)cos(A)

substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)

8 0
2 years ago
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