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Valentin [98]
3 years ago
6

Francis went to the sporting goods store and spent $75.15 on 6 items.

Mathematics
1 answer:
MArishka [77]3 years ago
5 0

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

  • $75.15 - $45 = $30.15
  • $30.15 / 5 = $6.03

The answer is $6.03

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Which of the following function types exhibit the end behavior f(x)-->0 as x --> -infinity?
ipn [44]
Let's consider the functions one by one.

i) y=x^n,

x --> -infinity means that x is a very very small negative number. To model it in our mind let's think of -10^{15}. This number to an even power becomes 10^{30}, 10^{60}... etc.

Indeed, we can see that the smaller the x, the greater the value x^n. In fact, as x --> -infinity,  f(x)-->+infinity.

ii)
y=x, 

this clearly means that the behaviors of x and y are identical.

As x --> -infinity, y --> -infinity as well.


iii) y=|x|,

We can think of x --> -infinity, again, as a very very small number, like -10^{15}. For this value of x, y is |-10^{15}|, that is 10^{15}.

Indeed, the smaller the x, the greater the y. As in the function in part (i), as x --> -infinity,  f(x)-->+infinity.

iv) 

y=1/x

consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively -0.1, -0.01, -0.001.

We can see that the smaller the x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity
</span>
v) n'th root of x in not defined for negative x, when n is even.

vi) y=b^x, b>0

Here note that b cannot be equal to 1, otherwise the function is not exponential.

Let b=5, consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively \displaystyle{ \frac{1}{5^{10}},  \frac{1}{5^{100}}, \frac{1}{5^{1000}}.

That is, the smaller the value of x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity</span>
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3 years ago
Which one is a better deal?
saul85 [17]
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2 years ago
Howard chose a candy from a bowl with 5 chocolate candies, 4 gummy candies and 6 hard candies. What is Howard's dependent probab
Hatshy [7]

Answer:

8.9%

Step-by-step explanation:

Here, we are to calculate the probability of Howard choosing a chocolate candy followed by a gummy candy.

The probability of selecting a chocolate candy = number if chocolate candy/ total number of candy

Total number of candy = 5 + 4 + 6 = 15

Number of chocolate candy = 5

The probability of selecting a chocolate candy = 5/15 = 1/3

The probability of selecting a gummy candy = number of gummy candies/total number of candies

Number of gummy candy = 4

The probability of selecting a gummy candy = 4/15

The probability of selecting a chocolate candy before a gummy candy = 1/3 * 4/15 = 4/45 = 0.088888888889

Which is same as 8.89 percent which is 8.9% to the nearest tenth of a percent

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3 years ago
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goldfiish [28.3K]
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7 0
3 years ago
Find the area of the given figure and please put all the steps you made as well
mylen [45]

Answer:

B. 196.5

Step-by-step explanation:

First lets fine the semi circle's area.

The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.

The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14

(3.14)(8)²=200.96 and half of that is 100.48

The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.

The formula for area of an triangle is A=1/2bh

We can see that the base is 16 and height is 12, and now plug it in.

A=1/2(16)(12)= 96.

The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.

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2 years ago
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