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2 years ago

The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many more girls than boys are there?

Mathematics

1 answer:

lisov135 [29]2 years ago

4 0

Answer:

Step-by-step explanation:

sum the parts of the ratio, 3 + 4 = 7 parts

Divide the number of students by 7 to find the value of one part of the ratio

35 ÷ 7 = 5 ← value of 1 part of the ratio, then

3 parts 3 × 5 = 15 ← number of boys

4 parts = 4 × 5 = 20 ← number of girls

20 - 15 = 5

There are 5 more girls than boys

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The square of a number equals nime times that number.find the number

melomori [17]

Answer:

Step-by-step explanation:

9^2 is equal to 9x9 the ^2 square means multiply by itself

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3 0

3 years ago

May someone help me with this quick math problem

vekshin1

Hello,

The correct answer is D) 2

Median: To find the Median, place the numbers you are given in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.)

The median number of trips taken to the food store in 1 week is 2.

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8 0

3 years ago

The answer choices are 11 1 2.48 6

Fudgin [204]

Answer:

The ball reached its maximum height of ( $11\ yards$ ) in ( $1\ second$ ).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

$h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6$

Now factor out the coefficient of the quadratic term:

$h(t)=-5(t^2 -2t) + 6$

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

$h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6$

Now take the balancing term out of the parenthesis:

$\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))$

Simplify:

$h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11$

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

$(1, 11)$