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katrin [286]
1 year ago
5

Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout

, so the tickets would cost him $215 before tax. What was the original price of each ticket?
Mathematics
1 answer:
KATRIN_1 [288]1 year ago
6 0

Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

 240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60

Hope it helps!

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Juanita wants to perform row operations on the augmented matrix for the system below (See pictures). Which matrix should Juanita
Artist 52 [7]

Answer:

The second option

Step-by-step explanation:

The given system of equation is

x+2y=3

-x+y+z=2

y-2z=-3

The augment matrix is obtained by combining the coefficient matrix with the constant matrix to obtain;

\left[\begin{array}{cccc}1&2&0&|3\\-1&1&1&|2\\0&1&-2&|-3\end{array}\right]

Note that the absence of z, in the first equation means its coefficient is zero. The same thing applies to x in the last equation.

The correct choice is the second option.

5 0
1 year ago
In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

6 0
1 year ago
Suppose a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a) Find an explicit formula for an: . b) Determine whether the sequence is
lorasvet [3.4K]

I'm going to assume you meant to write fractions (because if a_n are all non-negative integers, the series would clearly diverge), so that

a_1=\dfrac12-\dfrac12

a_2=\dfrac23-\dfrac13

a_3=\dfrac34-\dfrac14

and so on.

a. If the pattern continues as above, we would have the general term

a_n=\dfrac n{n+1}-\dfrac1{n+1}=\dfrac{n-1}{n+1}

b. Note that we can write a_n as

a_n=\dfrac{n-1}{n+1}=\dfrac{n+1-2}{n+1}=1-\dfrac2{n+1}

The series diverges by comparison to the divergent series

\displaystyle\sum_{n=1}^\infty\frac1n

4 0
1 year ago
He price of a visit to the dentist is calculated according to the formula 50+100n50+100n50, plus, 100, n where nnn is the number
weqwewe [10]
50(1+2)
(-1/2,0)
(0,50)
6 0
2 years ago
Read 2 more answers
2-8<br> Examine the function h(x) defined at right. Then estimate the values Below.
Arada [10]

We are given graph of the function.

Let us do given parts one by one.

a) h(1).

Here, we need to find the value of function (y-coordinate) for x=1.

From the given graph, we can see the for x=1 value of y is 2.

Therefore, h(1)=2.

b) h(3).

Here, we need to find the value of function (y-coordinate) for x=3.

From the given graph, we can see the for x=3 value of y is -4.

Therefore, h(3)=-4.

c) x when h(x) =0.

Here, we need to find the value of x-coordinate for y=0.

From the given graph, we can see the for y=0 value of x is also 0.

Therefore, x=0 when h(x)=0.

d) h(-1).

Here, we need to find the value of function (y-coordinate) for x=-1.

From the given graph, we can see the for x=-1 value of y is -2.

Therefore, h(-1)=-2.  

e) h(-4).

Here, we need to find the value of function (y-coordinate) for x=-4.

From the given graph, we can see the for x=-4 value of y is 13.

Therefore, h(-4)=13.  

5 0
1 year ago
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