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3 years ago

Each prize for a carnival booth costs $0.32. How many prizes can you buy with $96?

Mathematics

2 answers:

Dafna11 [192]3 years ago

7 0

Step one: divide 96 by .32.
Step two: get 300.
Step three: 300 is the answer

Dima020 [189]3 years ago

4 0

You can buy 300 toys

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How can the average rate of change be identified for a function?

Digiron [165]

Answer:

$Rateofchange=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where x₁ and x₂ are values in the interval [x,y] respectively

Step-by-step explanation:

Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.

So lets assume you have a function;

$f(x)=x^3-4x$

And the interval as [1,3]

Then the average rate of change for the function f(x) will be;

$=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3

To find the average rate of change in this example will be;

$=\frac{f(x_2)-f(x_1)}{x_2-x_1} \\\\=f(x_2)=f(3)=3^3-4(3)=27-12=15\\\\=f(x_1)=f(1)=1^3-4(1)=1-4=-3\\\\\\=x_2-x_1=3-1=2\\\\\\=\frac{15--3}{2} \\\\=\frac{18}{2} =9$

8 0

3 years ago

Kaia's mom is having triplets. Each baby could be either male or female

fiasKO [112]

Answer:

MMM

Step-by-step explanation:

Given

See attachment for elements of the sample space (in a probability tree)

Required

Which of MMM, FFM, MFF, FMF represents more than one male?

From the question, we understand that:

$M \to Male$

$F \to Female$

So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)

From the given options, only MMM has more than 1 M.

Hence, MMM represents more than one Male

5 0

3 years ago

1. The Royals softball team played 125 games and won 60 of them. What percent of the games did they lose? A. 48% B. 52% C. 65% D

Sauron [17]

Answer:

52% or B.

Step-by-step explanation:

3 0

3 years ago

The given line segment has a midpoint at (3, 1).

Katena32 [7]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ .

Therefore the line passing through (2, 4) and (4, -2) has an equation:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

$m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}$

Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

$\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x$

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

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3 years ago

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Answer:

Step-by-step explanation:

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