Melissa is buying a sweater. The original cost of the sweater is $18.00. The sweater is 15% off, and the sales tax is 8%. How much will the sweater cost?

The dark areas and the union symbol on the number line stand for x < 3 or x > 8 respectively.

We must plot the points x = 3 and x = 8 and shade the necessary areas in order to graph the compound inequality x 3 or x > 8 on a number line.

In order to represent all values of x less than 3, we first plot an open circle at 3 and shade the area immediately to its left:

<---|====]--->

  3    8

Finally, to represent all values of x larger than 8, we plot another open circle at 8 and shade the area to its right:

<---|====]---|--->

  3    8   8

Finally, to show that the solution encompasses all values of x greater than or equal to 3, we combine the two coloured zones together with the union symbol "∪":

<---|====]---|--->

  3    8   8

   (x<3)  (x>8)

Solution: The dark areas and the union symbol on the number line denote x 3 or x > 8 respectively.

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Answer: $840 left

Step-by-step explanation:

2,100 * 0.20 = 420

So, 20% of 2,100 is 420

420 * 3 = 1,260

2,100 - 1,260 = 840

Answer:

it increased by 15%

Step-by-step explanation:

im just omega smart

The area of the shaded region is 559 ft².

In order to find the area of the shaded region, we will subtract the area of the square from the area of the rectangle. That is:

area of the shaded region = area of rectangle - area of square

area of the shaded region = (32 * 20) - (9 * 9)

area of the shaded region = 640 - 81

area of the shaded region = 559 ft²

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Complete Question

See attached image

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer:

4.84096e+25

Answer:

Step-by-step explanation:

Answer:

The money he already had when he started saving.

Step-by-step explanation:

Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.

The constant (c) in the equation - y = mx + c, indicates the value of (y) at

x = 0. This means that it indicates the value of (y) even before the value of (x) started to increase.

Given is the equation → T = 83 + 30m representing the money saved by Eli each month to buy a new computer.

The equation given is -

T = 83 + 30m

When compared to the equation  of the straight line -

y = mx + c

We get -

c = 80

This shows that Eli begin with $83 during month [m] = 0 and saved the money onwards starting from first month.

Therefore, Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.

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Answer:

$37.5+$3r

Step-by-step explanation:

We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).

We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.

Then, you can add it which is $37.5+$3r

For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8

Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.

To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.

According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:

4 lemons / 5 cups = 0.8 lemons per cup of lemonade

This means that for every cup of lemonade, 0.8 lemons are used.

Alternatively, we can also express this rate as a fraction, which gives us:

0.8 lemons / 1 cup of lemonade

Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.

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Answer:

The mean prior to the given set of numbers would be \(58.8\).

How So?

1. Knowing this, first order the set from least to greatest.

\(22, 35, 44, 63, 63, 71, 80,92\)

2. Then, add up all the values.

\(22+35+44+63+71+80+92=470\)

3. Finally, divide 470 by 8 (the number of values in the set).

\(470\) ÷ \(8 = 58.75\)

4. Round 58.75, leaving you with the following solution:

\(58.75=58.8\) ←Our Final Solution / Mean

______________________________________________

Hope this helps!

Answer: T. S. A of cube is 864cm² Step-by-step explanation: length of cuboid= 18cm breadth of cuboid=4cm height of cuboid=24cm A. T. Q. Vol cuboid= Vol Cube L*B*H = a³ [let side of cube because] 18*4*24 = a³ 1728 = a³ 12 cm =a³ Now, T. S. A of cube =6*a² =6*12*12 =864cm

Answer:

area of parallelogram= length of base × perpendicular height

8.7×4.9

= 42.63mm²

Using the Factor Theorem, it is found that the function is given by:

\(f(x) = 0.0409(x^3 + x^2 - 77x - 330)\)

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

From the graph, the zeroes are \(x_1 = -8, x_2 = -3, x_3 = 10\), hence:

\(f(x) = a(x + 8)(x + 3)(x - 10)\)

\(f(x) = a(x^2 + 11x + 33)(x - 10)\)

\(f(x) = a(x^3 + x^2 - 77x - 330)\)

From the y-intercept, that is, when \(x = 0, y = -13.5\), we find a.

\(f(x) = a(x^3 + x^2 - 77x - 330)\)

\(-330a = -13.5\)

\(330a = 13.5\)

\(a = \frac{13.5}{330}\)

\(a = 0.0409\)

Hence:

\(f(x) = 0.0409(x^3 + x^2 - 77x - 330)\)

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Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

Answer:

the sum of one interior angle and one exterior angle is 180

x+120=180

x=180-120

x=60°

sum of angles in a triangle is 180

y+60+25=180

y+85=180

y=180-85

y=95°

Answer:

it's B.

Step-by-step explanation:

manuel knows that doubling either the width or length of a rectangle will double its area

Answer:

h=5

Step-by-step explanation:

Answer:

fiduhguhgfbuifhff

Step-by-step explanation:

lfhmiofioe

Answer:

1/6

Step-by-step explanation:

If the dice is rolled 4 times than the probability you will roll a 6 is 1/6 since there are only six numbers

Answer:

600

Step-by-step explanation:

5x5=25 25x6= 150x4 walls=600

The answers are explained in the solution.

Given are lines drawn in a coordinate plane, we need to identify the equations,

So, we have,

y = 2x – 4 = r

y = 2x + 4 = p

This is because these lines are parallel and have same slope, also the y-intercept is -4 and 4,

y = x = n

y = -x = s

This is also because, the line of y = x passes from origin.

b) We can use a translation to map the line p or r onto the line r or p.

c) We can use an axial symmetry in the y-axis to map the line n or s onto the line s or n.

d) The line s or n is mapped onto itself under central symmetry in the point (0, 0).

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The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

Answer:

Step-by-step explanation:

9 ≤ b

( I think unless it faces the other side...if wrong then I'm sorry)

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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Answer:

120mph.

Step-by-step explanation:

let s = the speed of the private plane

then

(2s+60) = the speed of the commercial airliner

:

Write a time equation; time = dist/speed

300%2Fs = 750%2F%28%282s%2B60%29%29

cross multiply

750s = 300(2s+60)

750s = 600s + 18000

750s - 600s = 18000

150s = 18000

s = 18000/150

s = 120 mph is the speed of the private plane

then

2(120) + 60 = 300 mph is speed of the commercial airliner

:

:

Check this find the actual time for each

300/120 = 2.5 hrs

750/300 = 2.5 hrs, confirms our solutions

Find the speed of each aircraft

The ratio of the distances flown is 750:300 = 5:2. Since the times are the same, the ratio of the speeds is 5:2. So let the two speeds be 5x and 2x.

The speed of the airliner in mph is 60 more than twice the speed of the private plane:

5x+=+2%282x%29%2B60

5x+=+4x%2B60

x+=+60

The speeds of the two aircraft are 5x = 300mph and 2x = 120mph.

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

No

No

Yes

Yes

No

Step-by-step explanation:

In this case we are looking at substitution, so any where you find x put three(3) in replace of it.

And remember the answer should be 36,

I find it difficult to type the answer so I will take a picture instead.

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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