MATHEMATICS HIGH SCHOOL

Raymond purchases concert tickets online for $43.50. There is a 3% processing fee. What is the total cost of the tickets? Round to the nearest cent. The actual answer is not 44.80 it’s 44.81 thanks anyway I guess I got it wrong though :(

Answers

Answer 1

Answer:

$44.81

Step-by-step explanation:

43.50 * 0.03 = 1.305

$43.50 + 1.305 = 44.805 = $44.81

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There are 81 new houses being built in a neighborhood. Last month, 1 over 3 of them were sold. This month, 2 over 3 of the remaining houses were sold. How many houses are left to be sold?

Answers

81 houses total.

$(1)/(3)$ of 81 (27) sold last month.

81 - 27 = 54 houses remaining.

$(2)/(3)$ of 54 (36) sold this month.

54 - 36 = 18 houses remaining.

There are 18 houses left to be sold.

Final answer:

There were 81 new houses. Initially, 1/3 of them were sold, leaving 54 houses. Later on, 2/3 of the remaining houses were sold, leaving a total of 18 houses left to be sold.

Explanation:

The subject of this question is Mathematics and it appears to be suitable for a Middle School level. The problem is about understanding fractions applied to a real-life situation, specifically the sales of new houses in a neighborhood.

Let's begin by working out how many of the 81 houses were sold last month. Because the question states that '1 over 3' were sold, this equates to 81 divided by 3, which is 27 houses. We then deduct this number from the total of 81 to find the remaining houses. So, 81 - 27= 54 houses remained.

In this month, '2 over 3' of the remaining houses were sold. So, we calculate 2/3 of 54. Multiply 54 by 2 and then divide this by 3 to get 36 houses being sold this month.

Subtracting these 36 houses from the remaining 54 (i.e., 54 - 36), we find that there are 18 houses left to be sold.

Learn more about Fraction Calculation here:

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Solve quadratic equation by completing the square
x²+2x-15=0

Answers

$x^2+2x-15=0\n\nx^2+2x\cdot1+1^2-1^2=15\n\n(x+1)^2-1=15\n\n(x+1)^2=15+1\n\n(x+1)^2=16\iff x+1=4\ or\ x+1=-4\n\nx=4-1\ or\ x=-4-1\n\n\underline{\underline{x=3\ or\ x=-5}}$

Can you please solve this for me.

Answers

Answer:

h = 5

Step-by-step explanation:

One place to look to find the difference between f(x) and g(x) is the y-axis. The y-intercept of g(x) is 5. The y-intercept of f(x) is 0. Then you have ...

... g(0) = f(0) +h

... 5 = 0 +h . . . . put in the values you read from the graph

... 5 = h

How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?Two

One

None

Infinitely many

Answers

x=12 only has 1 solution

Answer:

one

Step-by-step explanation:

Identify all factors of the expression 12x^2-14x-6

Answers

Let's solve this by using the quadratic formula:

$(-b+-√(b^2-4ac) )/(2a)$

Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

$\frac{ - ( - 14)± \sqrt{ {( - 14)}^(2) - 4(12)( - 6) } }{2(12)}$

And so by evaluating those values we obtain:

$(14+-√(484) )/(24)=(14+-22)/(24) \n\n$

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

$(14+22)/(24)=(36)/(24)=(3)/(2)$

Second Factor:

$(14-22)/(24)=(-8)/(24)=-(1)/(3)$

And so your factors are

$(3)/(2),-(1)/(3)$

meaning that those are your roots/x-intercepts.

Consider the following pair of equations:x + y = −2
y = 2x + 10

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(−4, 2)
(4, 2)
(−2, 4)
(2, 4)

Answers

they will intersect at point (-4,2)

Answer:

(-4,2)

Step-by-step explanation:

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