A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
The final sale price of an item can be expressed as 1.05(x – 0.2x), where x is the original price of the item.

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

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Mark brainliest

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)

Answer: i would say 550 miles or 1,100 miles

Step-by-step explanation:

Answer:

101°

46°

Step-by-step explanation:

The sum of angle C and angle F should be 180°as they are parallel.

Hence, angle C ;

Angle C + angle F = 180°

Angle C + 79° = 180°

Angle C = 180° - 79°

Angle C = 101°

Sum of angle in Trapezoid = 360°

Hence,

C + D + E + F = 360°

101° + 134° + E + 79° = 360°

314° + E = 360°

E = (360 - 314)°

E = 46°

Answer:

[tex](a)\ x < 150[/tex]

[tex](b)\ x = 149; x = 148[/tex]

Step-by-step explanation:

Given

[tex]Amount = 150[/tex] --- not more than

[tex]x \to[/tex] spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

[tex]Spending < Amount[/tex]

[tex]x < 150[/tex]

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, [tex]x = 149; x = 148[/tex]

Answer:

2018

Step-by-step explanation:

Answer:

3 sqrt(3)

sqrt(7)

Step-by-step explanation:

7 sqrt(3) - 2 sqrt(3) + sqrt(3) - 3 sqrt(3)

Factor out the sqrt(3)

sqrt(3) (7 -2+1-3)

Combine like terms

sqrt(3) (3)

3 sqrt(3)

5 sqrt(7) + 4 sqrt(7) - 8 sqrt(7)

Factor out the sqrt(7)

sqrt(7)( 5+4-8)

Combine like terms

sqrt(7) (1)

sqrt(7)

Step-by-step explanation:

a) We can factor out √3 from all of the terms:

√3(7 - 2 + 1 - 3) = 3√3

b) We can factor out √7 from all the terms

√7(5 + 4 - 8) = √7

Answer:

y = -2

Step-by-step explanation:

The formula for point-slope is as follows:

y - y1 = m(x - x1)

We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):

y + 2 = 0(x - 8)

y + 2 = 0

y = -2

The order of the answers doesn't matter.

================================================

Explanation:

a || b means the two lines a and b are parallel

If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.

Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.

Solve for x

|5x+15| = 100

5x+15 = 100 or 5x+15 = -100

5x = 100-15 or 5x = -100-15

5x = 85 or 5x = -115

x = 85/5 or x = -115/5

x = 17 or x = -23

The value of x is 17.

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.

Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.

Given:

<1 = 5x + 15

<2 = 100

Using alternate exterior angle

5x + 15 = 100

5x = 100- 15

5x = 85

x= 85/5

x= 17

Hence, the value of x is 17.

Learn more about alternate exterior angle here:

https://brainly.com/question/2279752

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Answer:

Solution given:

[tex]\frac{1}{5}(6+3+1)²[/tex]

[tex]\frac{1}{5}(10)²[/tex]

[tex]\frac{1}{5}100[/tex]

=20 is a required answer.

Answer:

12,5

Step-by-step explanation:

First, you need to find how many kilobytes do you download every seconds.

You simply divide 48 kilobyte / 5 seconds and you get 9,6 kB/s.

Now you know that your download speed is this you can find the amount of time needed for downloading 120 kilobytes.

You simply divide [tex]\frac{120 kilobytes}{9,6 kilobytes/s} = 12.5 s[/tex].

12,5 seconds.

Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  outcomes (top to bottom): SS, SG, GS, GG

  all probabilities are 0.25

Step-by-step explanation:

Each outcome is identified by the labels on the ends of the corresponding tree branch, in order left-to-right. The top one is SS, for example, and the next one down is SG. Continuing down the tree, the outcomes are GS and GG.

Each letter has a probability of 1/2, so any pair of letters will have a probability of (1/2)(1/2) = 1/4 = 0.25.

__

This method of identifying outcomes and their probabilities can ensure that you find all outcomes. The sum of probabilities should be 1.00 if the tree is properly constructed.

Answer:

"Spurious relationship" is the correct answer.

Step-by-step explanation:

The relationship between the independent and dependent variables in this case can be referred to as: spurious relationship.

A spurious relationship can be described as a statistical association between two variables, which are claimed to be directly connected to each other, and may in fact, just be a coincidence or may have been connected together by an intermediate or third factor when carefully examined.

Therefore, the relationship between the independent and dependent variables in this case can be referred to as: spurious relationship.

Learn more about spurious relationship on:

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Answer:

Let's add the total skittles to get our outcome:

25 in total.

5(red skittles)/25(total skittles in all)

7(yellow skittles)/24(total skittles in all NOW since you took a red skittle)

So therefore your expression is:

5/25 x 7/24

Answer:

Ganancia total= $7.182

Step-by-step explanation:

Dada la siguiente información:

Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325.

Primero debemos calcular cuanto gana con cada celular:

Ganancia unitaria= 325 - 268

Ganancia unitaria= $57

Ahora, la ganancia total:

Gnanacia total= 57*126

Ganancia total= $7.182

Answer:

There won't be enough arrangement

Step-by-step explanation:

Given

[tex]Letters = 2[/tex]

[tex]Digits= 3[/tex]

[tex]Cars = 800000[/tex]

Required

Determine if the possible arrangement will be enough

The 2 letters can be selected from any of the 26 alphabets without restriction.

So, the selection of letters is:

[tex]Letters = 26 * 26[/tex]

The 3 digits can be selected from any of the 10 digits without restriction.

So, the selection of digits is:

[tex]Digits = 10*10*10[/tex]

The total arrangement is:

[tex]Total = Letters * Digits[/tex]

[tex]Total = 26*26*10*10*10[/tex]

[tex]Total = 676000[/tex]

By comparison:

[tex]Total < Cars[/tex]

i.e.

[tex]676000 < 800000[/tex]

Hence, the arrangement will not be enough

Answer:

Answer is A

Step-by-step explanation:

smart

Answer:

i. A government by the people is the answer.

Step-by-step explanation:

Hope it helps you:)

Answer:

Option 3.)    f(-3) = g(-3), since that x-value of the point of intersection

Hope this helps!

Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]b(t) = 3000 * 2^t[/tex]

The question is incomplete;

A possible question could be to calculate the initial amount of beetle

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]a \to Initial\ amount[/tex]

By comparison:

[tex]a = 3000[/tex] --- The initial number of beetles

Another question could be to solve for f(t), after a certain number of weeks (say 3)

Substitute 3 for t in: [tex]b(t) = 3000 * 2^t[/tex]

[tex]b(3) = 3000 * 2^3[/tex]

[tex]b(3) = 3000 * 8[/tex]

[tex]b(3) = 24000[/tex]

X=13,1

I hope this helped :)

Answer:

answer is 1

Step-by-step explanation:

3 and 3 gets cancel .when you divide the same number answer is always 1

Answer:

54

Step-by-step explanation:

Complementary angles add up to equal 90

If ∠1 and ∠2 are complementary angles then ∠1 + ∠2 = 90

if ∠1 = 36 then 36 + ∠2 = 90

90 - 36 = 54

Hence, ∠2 = 54

Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

Answer:

13 cm

Step-by-step explanation:

[tex] \sqrt{ {12}^{2} + {5}^{2} } = \sqrt{169 } = 13[/tex]

To find the volume multiply all 3 numbers together.

2 1/2 x 1 1/2 = 3 3/4

3 3/4 x 3 = 11 1/4

The volume is 11 and 1/4 cubic units

Answer: 0.3125 hours

Step-by-step explanation:

The formula for time taken to cover a distance is:

= Distance / Speed

Distance = 2.5 miles

Speed = 8 miles per  hour

Time taken = 2.5 / 8

= 0.3125 hours

In minutes this is:

= 0.3125 * 60 mins

= 19 mins approx