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3 years ago

10

The class voted on a reward. Those that voted to watch a movie out numbered those that voted for extra recess by a ratio of 6 to

2. If 18 students voted for a movie, how many voted for extra recess? HELPPP PLEASE

1 answer:

Naddik [55]3 years ago

3 0

Answer:

6

Step-by-step explanation:

6x(3)=18 (3)x2= 6

|_____|

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Rickey has been commissioned to paint a mural that is allowed to have an area of 50 square meters. To make the rectangle shape o

Leno4ka [110]

Answer:

12.808 meter is the length should Rickey use for the mural.

Step-by-step explanation:

Area of the mural = A = $50 m^2$

Length of the mural = l

Width of the mural = w

l = 5 + 2w

Area of the rectangle = l × w

$A=(5+2w)\times w$

$50 m^2=5w+2w^2$

$2w^2+5w-50=0$

Solving above equation with the help of Completing squares method:

$(\sqrt{2}w)^2+2\times \sqrt{2}w\times \frac{5}{2\sqrt{2}}+(\frac{5}{2\sqrt{2}})^2-50=(\frac{5}{2\sqrt{2}})^2$

$(a+b)^2=a^2+b^2+2ab$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=(\frac{5}{2\sqrt{2}})^2+50$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=\frac{25}{8}+50$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=\frac{425}{8}$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})=\pm\sqrt{\frac{425}{8}}$

w = 3.904 m (accept)

w = -6.404 m (reject)

l = (5 + 2w)m = 5 + 2 × (3.904) m= 12.808 m

12.808 meter is the length should Rickey use for the mural.

3 0

3 years ago

A student’s IQ score is in the 91st percentile on an intelligence scale. Make an observation about the student’s IQ score

vichka [17]

Answer:

It means his IQ score is better than 91% of the other students scores and scored less than only 9% of the other students.

Step-by-step explanation:

Percentile is not the same as percentage. While percentage is the score gotten out of 100, whereas, percentile means that you are scored better than that percentage of people.

Thus, for his IQ score to be in 91st percentile, it means he scored above 91% of the other students, and only scored lesser than 9% of the students.

3 0

4 years ago

three consecutive odd integers such that four times the middle integer is two more than the sum of the first and third

Rainbow [258]

Bearing in mind that, if you multiply, any integer whatsoever by 2, you end up with a even integer, 17*2, or 19*2, 88*2 you name it, you get an even number

now, you can get an odd integer by simply going from an even integer, back or forth, so if you have an even number of say 24, 24 - 1, 23, 24+1, 25, 23 and 25 are the odd ones next to 24

so.. let's pick some number, let's say hmm "a", we know 2*a is even, so 2a, thus, 2a +1 or 2a -1 is an odd one.... let's use hmm 2a + 1 as our first odd integer

to jump from an odd integer to another, you simply add 2, 3+2, 5, 5+2, 7 and so on

so... our first one is 2a + 1, so the next consecutive one, will then be (2a+1)+2

and next consecutive after that is (2a+1+2)+2

so our three consecutive odd integers are then

2a + 1
2a + 3
2a + 5

now, 4 times the middle is 4(2a+3)
the sum of the first and last is (2a+1) + (2a+5)
now, two more than that is just (2a+1) + (2a+5) + 2

thus

4(2a + 3) = (2a + 1) + (2a + 5) + 2

solve for "a"

8 0

3 years ago

Can somebody tell me the answer of the question: if a human can eat 5% more than a animal how much can it a animal ??

GenaCL600 [577]

Answer:

Step-by-step explanation:

If human can eat 5% more than animal then the animal eats 5 % less than human so the answer is 5% less than human

8 0

3 years ago

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The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.

aksik [14]

Answer:

B

Step-by-step explanation:

n+(n+1)=59

2n=59-1=58

n=58/2=29

n+1=29+1=30

5 0

3 years ago

Read 2 more answers