MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

56 is the other number

Step-by-step explanation:

let the first number be a

the other number is 5/14 from the question

a x 5/14 = 20

5a/14 = 20

5a = 14 x 20 = 280

a = 280/5 = 56

MIDDLE SCHOOL

If y varies directly as x, and y is 400 when x is rand y is r when x is 4 what is the numeric constant of variation in this relation?

The numeric constant of variation in this relation is 10.

We need to find the numeric constant of variation in this relation.

What is the varies directly?The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y.

Given that, y varies directly as x, and y is 400 when x is r and y is r when x is 4.

Now, yαx

⇒y = kx

⇒400 = kr ------ (1)

also, r = 4k ------ (2)

⇒400 = k(4k) = 4k²

⇒k² = 400/4 = 100

⇒k = √(100) = 10

Therefore, the numeric constant of variation in this relation is 10.

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Answer:

Step-by-step explanation:

y = kx

400 = kr . . . . . . (1)

also, r = 4k . . . .(2)

400 = k(4k) = 4k^2

k^2 = 400/4 = 100

k = sqrt(100) = 10

HIGH SCHOOL

A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?

There are 12 lions in the zoo.

What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

If one-sixth of the lions in the zoo are male lions, then we can set up the following equation:

2 = (1/6)x

where x represents the total number of lions in the zoo.

To solve for x, we can multiply both sides of the equation by 6:

12 = x

x = 12

Thus,

There are 12 lions in the zoo.

Learn more about fractions here:

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Let x be the number of animals in the zoo

Number of male lions in the zoo = 2

1/6(x) = 2

x/6 = 2

x = 12

There are 12 lions in the zoo in total.

Number of male lions in the zoo = 2

1/6(x) = 2

x/6 = 2

x = 12

There are 12 lions in the zoo in total.

MIDDLE SCHOOL

Which property is 7x +(4x + 1) = (7x + 4x) + 1t

This is an example of associative property which states,

Hope this helps.

r3t40

Answer:

associative property

Step-by-step explanation:

This illustrates the associative property. It doesn't matter in which order you combine the terms here.

COLLEGE

Find the standard equation (-1,-3)(5,4)

Although not specifically requested, we'll assume the question requires to find the equation of the line passing through both points

Answer:

Step-by-step explanation:

Equation of a Line

To completely define the equation of a line, we only need two points through which the line passes. Let's say that our line passes through the points (x1,y1) and (x2,y2). The equation of the line can be found by

We have the coordinates of the points to be (-1,-3) and (5,4). Plugging the values into the formula:

Operating

Rearranging to find the standard equation

MIDDLE SCHOOL

15 is what percentage of 25

Your answer to this question would be 60 percent hope this helps

Answer:

60%

Step-by-step explanation:

15/25 = 15 ÷ 25

0.6 = 6/10

6/10= 60/100

=60%

MIDDLE SCHOOL

Felipe has 28 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them.

Ok let’s say he folds N=14 so F would be the other q4

HIGH SCHOOL

The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3. a) Find the probability that no calls come in a given 1-minute period.

b) Find the probability that at least two calls will arrive in a given two minutes’ period.

c) Find the probability that at most two calls will arrive in a given five minutes’ period.

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a)

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

Hence,

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

As a result,

Practically 0

MIDDLE SCHOOL

What do you think about when you get sick? Check any that apply

Answer:

What are the answer choices? I'd be happy to help!

HIGH SCHOOL

What number is 13 more than 80

80 + 13 = 93

Clue : the keyword "more than" refers to addition

Clue : the keyword "more than" refers to addition