What would be the total cost of purchasing the number of shirts needed to use your
coupon—after your coupon is applied and a 7.5% sales tax is charged on the purchase?
Please write a original answer

A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.

A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.

In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.

Slope of given line = -1

Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1

We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.

y = mx + c

-5 = 1(3) + c

c = -5 - 3

c = -8

Substituting c = -8 and m = 1 to get the equation of required line.

y = mx + c

y = x - 8

As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.

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Answer: for number 1  13,416

Step-by-step explanation: i think that is the correct answer i could be wrong

Answer:

C

Step-by-step explanation:

One of the quick ways of getting the answer is to graph the  equation. I have done that for you at the bottom of this answer. However, I think you want the written solution.

Equation

y = x^2 + 8x - 6                        Put brackets around the first 2 terms

y = (x^2 + 8x) - 6                      Take 1/2 the second term and square

8/2 = 4;   4^2 = 16                    Put 16 after the second term

y = (x^2 + 8x + 16)   - 6             Subtract 16 and put it after the 6

y = (x^2 + 8x + 16) -6-16           Combine

y = (x^2 + 8x + 16) - 22

The first 3 terms make a perfect square (x^2 + 8x + 16) = (x + 4)^2

So the answer is between C and A

y = (x + 4)^2 - 22

a) 20% 60 of  is 12

b) 25% of 24 is 6

c) 4% of 600 is 24

Here the problem we are dealing with is related to percentage, which could be a division or a proportion in which the value of the entire is continuously 100. is represented by the symbol "%".

a) let us consider the missing number to be x

so, the problem will be 20% of  x= 12

=> 20/1000* x= 12

=>20x= 12*100

=> x= 12*100/20 = 60

b) let the percentage be x

so, the problem will be x% of 24 =6

=>x/100* 24= 6

=>24x=600

=>x=600/24 =25

c)  here, we are given  4% of 600=?

=4/100* 600

=24

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The standard form of the equation representing magazines and paperback books bought is is 6x + 3y = 54

Information given in the question include:

Eugene bought magazines for $6 each and paperback books for $3 each total of $54

Definition of variables

let the number of magazines bought be x

let the number of paperback books bought be y

The total amount paid for the magazines = $5 * x = 6x

The total amount paid for the paperback books = $3 * y = 3y

Finding the equation

Summing the amounts paid to be equal to the total amount spent which is $54 is given in the equation as written below

6x + 3y = 54

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Answer:

0.5 ⋅ 103

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1: multiply both sides by 9π to get V9πr³=2

step 2: divide both sides by V9π to get r³=2/(V9π)

step 3: take the cubed root of both sides to get r=∛[2/(V9π)]

Answer:

Step-by-step explanation:

it is D i took the test

The probability that a group of four siblings includes all XY is 1/16 (6.5%), while the probability all XX offspring is 1/16 (6.5%). It is a simple genetic probability calculation.

Genetic probabilities and chromosomes

Females inherit two chromosomes X, whereas males inherit one chromosome X and one chromosome Y.

The probabilities of inherent two chromosomes X (females) are 1/2 (50%), while the probabilities of inherent one chromosome X and one chromosome Y (males) are also 1/2.

In consequence, the probability that a group of four siblings includes all XY is 1/16 (because it is equal to 1/2 x 1/2 x 1/2 x 1/2 = 1/16), the same for the probability all XX offspring (1/16).

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After doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.

So, times extra large pizza is heavy than small pizza:

Now, perform operations as follows:

Therefore, after doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.

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The correct question is given below:

Use the Table that shows the weights of three sizes of pizza.

Extra Large Pizza - 6 1/2

Medium Pizza - 3 1/4

Small Pizza - 1 5/8

(A) How many times as heavy is the extra large pizza than the small pizza?

Number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

As per the question statement, we are supposed to find  the  integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

Let's write the given statement in numeric form first, we get

[tex]\frac{5m}{6} -4 < \frac{m}{3} +5[/tex]

Let's solve the inequality for "m"

We get 3m/6 <9

or 3m <54

or m < 18

Therefore all values of m < 18 will make the inequality true and m>18 will make the  inequality false.

The value of m > 18 in the above given set S:{−18, 2, 15, 20} is 20, hence number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

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Answer: its 20 or 15 i belieive its 20 tho

Step-by-step explanation:

Answer:

The vertical angles are

1 and 3

2 and 4

a. The rocket splashes down after 31.23 seconds.

b.  The rocket is 1374.7 meters above sea level.

NASA launches a rocket at t=0 seconds.

Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t²+142t+346.

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

When splash down occurs, h(t) = 0, therefore

-4.9t²+142t+346 = 0

find t using the quadratic formula; a=4.9, b=142, c=346

t = -142 ± √(142)² - 4(-4.9)(346) / 2(-4.9)

t = -142 ± 164.15 / -9.8

t = -142+164.15/-9.8 , -142-164.15/-9.8

t = 22.15/-9.8 , -306.15/-9.8

t = -2.26 , 31.23

time cannot be negative so t = 31.23

The rocket splashes down after 35.8229 seconds.

The max occurs on the axis of symmetry, use x=-b/(2a) to find it

t = -142/2(-4.9)

t = 142/9.8

t = 14.48 sec

replace t with 17.2449 in the equation

h(t) = -4.9(14.48)² + 142(14.48) + 346

= 1374.7 m

The rocket peaks at 1374.7 meters above sea-level.

Hence we get the answers.

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A mathematical phrase in which the sides are not equal is referred to as being inequal. The point (80, 35) exists in the solution space. The coach could buy 80 pull buoys and 35 kick boards.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

A mathematical phrase in which the sides are not equal exists directed  to as being inequal. In essence, a comparison of any two values reveals whether one exists less than, larger than, or equivalent to the value on the opposite side of the equation.

A) The sum of costs must not exceed the budget:

5.50x +10.00y ≤ 800

B) Let the inequality be 5.50(0) +10.00(50) = 500 ≤ 800

Yes, the coach could buy these

C) Let the inequality be 5.50(125) +10.00(25) = 937.50 > 800

No, they cost too much

D) The point (80, 35) exists in the solution space. The coach could buy 80 pull buoys and 35 kick boards.

The complete question is:

A swim coach has at most $800 to buy equipment for the swim team. Each pull buoy costs $5.50 and each kickboard costs $10. Let x represent the number of pull buoys and y represent the number of kickboards.

A) Write an inequality for the scenario

B) could the coach purchase zeros pull buoys and 50 kickboards?

C) could the coach purchase 125 pull buoys and 25 kickboards?

D) What other combination of pull buoys and kickboards works for your inequality?

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Answer:

-2/3

Step-by-step explanation:

y=mx+c

m is the gradient/slope

m= y2-y1 / x2-x1

you can label any point as your x1y1 and x2y2, you will still get the same answer

Answer:

7

Step-by-step explanation:

(4+6+7+8+10)/5=7

the median is the middle number=7

Total cost, 3 bottles of soda and 8 bags of chips: 9.15, Total cost, x bottles of soda and y bags of chips: 1.25x + 0.9y as calculated from the provided material through mathematical concepts.

These basic mathematics skills are addition, subtraction, multiplication, and division. Concepts included in basic math include learning shapes, patterns, fractions, decimals, percentages, exponents, ratios, scientific notation, and formulas.

The five fundamental concepts which we aim to consider briefly are those of natural number, unknown, postulate, function and group

These functions such as addition, subtraction, multiplication, and division have their application present even in the most advanced mathematical theories.

The total price can be calculated as it is equal to the unit price multiplied by the quantity.

3*1.25 + 6*0.9

= 3.75 + 5.4

= 9.15

Then if we take it as x and y, we get the equation

1.25x + 0.9y

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Step-by-step explanation:

forty-two thousand, six hundred eighty-three times seven equals blank

42683 × 7 = _____

42683 × 7 = 298781

The representation of the radical expression; the cube root of five to the seventh power as an expression with a rational exponent is; five to the seven thirds power.

It follows from the task content that the radical expression given; ³√5⁷ is to be expressed as a rational exponent expression.

Recall that the converse of the rational exponent law of indices is such that; ³√x = (x)^⅓.

Hence, it follows that the expression given;

³√5⁷ = (5⁷)^⅓.

Also, it follows from the power of power law of indices that the expression above can be written as;

5^(7/3).

Ultimately, the equivalent rational exponent expression is; five to the seven thirds power; 5^(7/3).

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Answer:

C

Step-by-step explanation:

to determine which ordered pair is not a solution , substitute the coordinates of the point into the inequalities and check the validity. Note that both inequalities must be true for the point to be a solution.

A (- 3, 3 )

3  ≥ - 3 - 5

3 ≥ - 8  ← true

3(3) < - 6(- 3) + 3

9 < 18 + 3

9 < 21 ← true

------------------------------------------

B ( - 1, 2 )

2 ≥ - 1 - 5

2 ≥ - 6 ← true

3(2) < - 6(- 1) + 3

6 < 6 + 3

6 < 9 ← true

------------------------------------------

C (4, 5 )

5 ≥ 4 - 5

5 ≥ - 1 ← true

3(5) < - 6(4) + 3

15 < - 24 + 3

15 < - 21 ← false

-------------------------------------------

D (- 6, 0 )

0 ≥ - 6 - 5

0 ≥ - 11 ← true

3(0) < - 6(- 6) + 3

0 < 36 + 3

0 < 39 ← true

--------------------------------------------

Both inequalities are true in A, B , D

Both inequalities in C are not true so (4, 5 ) is not a solution to the system

Flight will reach Auckland at 11:22 am with respect to Auckland time.

We have the following given information which states as follows

A flight to Sydney to Auckland takes 3 hours and 12 minutes.

∴ Total journey time = 3hr 12min.

Auckland times is 2 hours ahead of Sydney's time.

∴ Change in time will be 2hr

The flight departed Sydney at 10:10 am

∴ Flight will reach Auckland after the journey time

∴ Flight will reach Auckland after 3hr 12min

∴ Flight will reach Auckland at 01:22 pm

But Auckland times is 2 hours ahead of Sydney's time.

∴ Change in time will be 2hr

∴ Flight will reach Auckland 2hr less than the considered reach time with respect to Sydney.

∴ Flight will reach Auckland at 11:22 am.

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Answer:

Answer down below!

Step-by-step explanation:

Using your knowledge of parallel lines, you know that parallel lines are most often time never touching, but on the same plane. The top of R and the bottom line of Q are parallel because they don't intersect each other.

We also notice that the shapes are the same length, so we have this conclusion!

Q and R are identical because they share opposite, parallel lines.

Step-by-step explanation:

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

a slope = 0 means that the y coordinate change is always 0, so y does not change anywhere on the line.

that makes y a constant c, and x can be any value completely independent of y.

the line is the summary of all points that have c as their y coordinate.

so, the general equation for such a line is simply

y = c

what is c ?

as we have one point on the line, remember the statement above : the line is the summary of all points that have c as their y coordinate.

that means (3, -4) must have the same y coordinate.

so, c = -4.

the equation of the line is therefore

y = -4

An 8-inch violin string has a frequency of 640 cycles per second using the  inverse variation equation.

Given: A 16-inch violin string is known to vibrate at 320 cycles per second.

We know that,

Using the frequency equation where l for the length of the string and f for the frequency.

f = k/l

320  = k/16

k = 5120

So, the equation becomes f = k/l

For l = 8

f = 5120/8

f = 640

Therefore, the frequency of an 8-inch-long violin string is 640 cycles per second.

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Answer: Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0,0)

Step-by-step explanation: Example graph for c=3p .

Your profit on each model spaceship sold is; (1.2d + 1.5) dollars

We are told that the original cost of the spaceship model was d dollars. Now, you buy each kit on sale at 30% of the original price.

Thus;

Amount of each kit with the 30% of original price = 30%d = $0.3d

Total cost of each kit with shipping fee = (0.3d + 3.5) dollars

Now, he sells each model at (2.5d + 5) dollars.

Now, formula for profit is;

Profit = Selling Price - Cost Price

Profit = (2.5d + 5) -  (0.3d + 3.5)

Profit = (1.2d + 1.5) dollars

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The benzene has a volume value of 149.99 mL

From the question, the given parameters are

Density of benzene = 0.8787 g/mL

Mass of benzene = 131.8 g

The volume of the benzene is then calculated using

Density = Mass/Volume

Make Volume the subject of the formula

So, we have

Volume = Mass/Density

Substitute the known values in the above equation

So, we have the following equation

Volume = 131.8/0.8787

Evaluate the quotients in the equation

Volume = 149.99

Hence, the volume of the benzene is 149.99 mL

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