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2 years ago

8

A ticket company charges a 4% service fee on all orders. How much is the service fee for a ticket that costs $65?

1 answer:

solong [7]2 years ago

6 0

Answer:

$16.25

Step-by-step explanation:

4 goes into 65 16 r1

which = 16.25

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Y=-3+6and y=1/3x-8 determine if the equation are parallel, perpendicular or neither

Gelneren [198K]

Slope intercept form: y = mx + b

m = slope and b = y-intercept

The equation is: y = -3x + 6

The m value for this is -3, so the line has a slope of -3. If y = 1/3x - 8 was parallel to y = -3x + 6 then they would have the same slope, which they do not. So they aren't parallel.

The find the slope of a perpendicular line, take the negative reciprocal of the slope of y = -3x + 6. The negative reciprocal of -3 is 1/3. y = 1/3x - 8 has a slope of 1/3, so they are perpendicular to each other.

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2 years ago

Number 11; What do you have to do to solve it?

taurus [48]

very positive about these results

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3 years ago

The volume of a cube shaped shipping container is 2744 in.³ find the edge length of the shipping container

Dima020 [189]

Answer:

The edge length of the shipping container is 14 in.

Step-by-step explanation:

The volume enclosed by a cube is the number of cubic units that will exactly fill a cube.

To find the volume of a cube we need to recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself twice. Or as a formula:

$V=s^3$

where, <em>s</em> is the length of any edge of the cube.

To find the edge length of the shipping container we use the fact that the volume of a cube shaped shipping container is 2744 in³ and the above formula.

$2744=s^3\\\\s^3=2744\\\\s=\sqrt[3]{2744}\\\\s = 14\:in$

7 0

3 years ago

Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfr

maw [93]

The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3 Apply the Law of Multiplicative Distribution:

Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 - Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 - check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

See the attached for full question.

Learn more about Common Denominators at:

brainly.com/question/542317

4 0

2 years ago

HELP ASAP PLEASE!!! 20 POINTS!!

Kobotan [32]

Answer: $S_{12}=399.90$

Step-by-step explanation:

You know that the formula to find the sum of a finite geometric series is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Where $n$ is the number of terms, $a_1$ is the first term and $r$ is the common ratio ( $r\neq 1$ ).

The steps to find the sum of the first 12 terms of the given geometric serie, are:

1. Find the common ratio "r". By definition:

$r=\frac{a_2}{a_1}$

Then:

$r=\frac{100}{200}\\\\r=\frac{1}{2}$

2. Finally, knowing that:

$a_1=200\\\\n=12$

You must substitute values into the formula.

Then you get:

$S_{12}=\frac{200(1-(\frac{1}{2})^{12})}{1-\frac{1}{2}}\\\\S_{12}=399.90$

6 0

3 years ago