How much sales tax will be charged at Store B?

Answer:

x³ + 9x² + 23x + 15

Step-by-step explanation:

Given

(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² + 4x + 3)(x + 5)

Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is

x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis

= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms

= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d

Answer:

Step-by-step explanation:

Well, the midpoint formula is M=((x↓1 +x↓2)/2,(y↓1 +y↓2)/2 ). (not exponents, they tell you which x or y value).

If you plug in your 2 points, it becomes m=((2+0)/2,(6+2)/2).

When you add, it is m=(2/2, 8/2)

When simplified, it is m=(1,4)

Answer:

180

Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.

Answer:

Seven days

Step-by-step explanation:

From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:

1.25+1.5=2.75 cups a day

Now that you know the amount of cups that you drink in a day, you can divide  the amount of cups in the pitcher by the amount of cups you drink in a day:

19.25/2.75= 7

According to this, the answer is that you will run out of iced tea after seven days.

Answer:

52

Step-by-step explanation:

I'm pretty sure that it would be 52 mi because it is the same said that the angel ST is. Angels NM and ST are congruent. Therefore, the answer is 52 mi.

Answer:

x = 75

Step-by-step explanation:

X/5=15

Multiply each side by 5

x/5 * 5 = 15*5

x = 75

Answer:

Step-by-step explanation:

15*5=75

therefore answer is x=75

Answer:

Step-by-step explanation:

-40 - 5 = -45

answer is D

Answer:

I got -11.97056 as the answer

Answer:

D

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Step 1:

18 - 5w + 7w - 4 = 28

Step 2:

14 + 2w = 28

Step 3:

2w = 14

Answer:

w = 7

Hope This Helps :)

Answer:

- 2/3

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6,-8) and (-2,0)

The distance between them is

[tex]d = \sqrt{ ({ - 6 + 2})^{2} + ({ - 8 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 8})^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} [/tex]

We have the final answer as

[tex]4 \sqrt{5} \: \: \: units[/tex]

Hope this helps you

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

Ammera's sweet= A

Dhabia's sweet= B

Dana's sweet= C

Ax2=B+2=C

Answer:

167

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

       Triangles given in Options (b) and (c) are similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

       [tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

https://brainly.com/question/2499350?referrer=searchResults

Answer:

A,

Step-by-step explanation:

because the whole number 144 is a perfect square and the square root of 144 is also a whole number

Answer:

45 minutes

Step-by-step explanation:

We want to know how long it takes to an airplane to fly a distance of 375 miles, if the speed of the airplane is 500 miles per hour.

For this, we should divide the distance/speed to get the time that the plane needs.

T = 375mi/(500mi/h) = 0.75 hours

The plane needs 0.75 hours or 0.75*60 = 45 minutes to fly that distance.

Answer:

-4x+20

Step-by-step explanation:

[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]

Answer:

  26 square units

Step-by-step explanation:

Reflection and translation are rigid motions that do not affect the size or shape of the triangle. It has the same area as the original: 26 units².

Answer:

the answer is observation study

Step-by-step explanation:

Answer:

mesosphere

The air in the mesosphere has extremely low density: 99.9 percent of the mass of the atmosphere is below the mesosphere. As a result, air pressure is very low.

16x⁴y⁶

(4x²y³)² =

= 4²x²ˣ²y³ˣ²

= 16x⁴y⁶

Answer:

Susie rounded to the nearest thousandth.

Step-by-step explanation:

since the 100th place is 0 it would round down to 39,000 when you are rounding to the nearest thousand.

Answer:

To solve for the problem above, let x be the regular price of the shoe.

1/2x is the one-half price of the shoe then we add 6 for the pair of socks,

1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Step-by-step explanation:

Answer:

f={(3,1),(2,4),(1,5)}

Answer:  x= 20

Step-by-step explanation:

If m and n are parallel then the  3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.

2x + 20 = 3x

-2x            -2x

 20 = 1x

 x= 20

Answer:

58 %

Step-by-step explanation: