Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $

Answer:

B. Angle 5 and Angle 6 are complementary

Step-by-step explanation:

Definition of complementary- either of two angles who sum is 90°

As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.

Angle DOC = 90°

Angle DOC = Angle 6 + Angle 5

Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.

Good luck!

Answer:

1,500

Step-by-step explanation:

Answer:

81,00000000

Step-by-step explanation:

Hope this Helps! :)

Answer:

System of Equations is given as:

c = 2h - 1...... Equation 1

1.8c + 3h = 288.60....Equation 2

Step-by-step explanation:

Let us represent

The number of Cold lunch = c

The number of Hot lunch = h

The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.

Hence:

c = 2h - 1

At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.

Hence:

$1.80 × c + $3.00 × h = $288.60

1.8c + 3h = 288.60....Equation 2

The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:

c = 2h - 1...... Equation 1

1.8c + 3h = 288.60....Equation 2

The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]

Let h represents hot lunch, and c represents cold lunch.

So, we have:

[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]

[tex]\mathbf{c = 2h - 1}[/tex]

Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]

[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]

Expand

[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]

Collect like terms

[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]

[tex]\mathbf{6.60h = 290.4}[/tex]

Divide both sides by 6.60

[tex]\mathbf{h = 44}[/tex]

Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]

[tex]\mathbf{c = 2(44) - 1}[/tex]

[tex]\mathbf{c = 83}[/tex]

Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]

Read more about simultaneous equations at:

https://brainly.com/question/16763389

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

Answer:

The other end of the line segment is at (-8, 3)

Step-by-step explanation:

Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:

dx = -5 - (-2) = -3

dy = -1 - (-5) = 4

-5 + dx = -8

-1 + dx = 3

So the other end of the line segment is at (-8, 3)

If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)

The midpoint of a line segment is given as:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

One of the endpoints of the line segment is (-2, -5)

That is, [tex]x_1=-2, y_1=-5[/tex]

Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]

Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in  the equation:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]

Solve for [tex]y_2[/tex]

[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]

The coordinates of the other endpoint are (-8, 3)

Learn more here: https://brainly.com/question/20696453

Answer:

0.04

Step-by-step explanation:

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

Answer:

The answer is  203

Step-by-step explanation:

 I  started off by dividing 609 by 3 and your answer is on the top. You're welcome!!

Answer:

3 1/2 is the closest

Step-by-step explanation:

Theres 3 that are full and 2/5

Answer:

its 3 1/2 or c

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

Answer is 0.0005164x

Answer:

6ft

Step-by-step explanation:

Answer:

sorry dude

Step-by-step explanation:

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation:

ANSWER:

2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.

3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent

I obviously know this is the answer

Answer:

50

Step-by-step explanation:

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

Answer:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]

Answer:

The production cost is Rs 12,500

Step-by-step explanation:

Let the production cost be $x

At any point in time

sales price = cost price +( profit percentage* cost price)

Manufacturer gaining 6%

That would be;

x + 6% of x

x + 0.06x

= 1.06x

Wholesaler gaining 8%

= 1.06x + 8% of 1.06x

1.06x + 0.08(1.06x)

= 1.06x + 0.0848x

= 1.1448x

The for the retailer

= 1.1448x + 10% of 1.1448x

= 1.1448x + 0.11448x

= 1.25928x

1.25928x = 15,741

x = 15,741/1.25928

x = 12,500

Step-by-step explanation:

(4x-3)(3x+6)

4x(3x+6)-3(3x+6)

12x+24-9x-18

12x-9x+24-18

3x+6

x=6/3

x=2

Answer:

36

Step-by-step explanation:

Conjugate of z = -3-5i

Therefore the expression is equivalent to (-3+5i)(-3-5i).

(-3+5i)(-3-5i)

=(-3)^2-(5i)^2

=9-(-25)

=36

Answer:

z (the conjugate of z) = 34

Answer:

I think elimination method will the the beat and easiest method we can use in that question,

Answer:

The answer is C

Step-by-step explanation:

Answer: 1) y=1/3x-1

2) y=-2/5x+0

3) y=1x+8

4) y=-3/6x+3

5) y=5/2x+1

6) y=-8/2x-5

7) y=1x+2

8) y=-2/3x-4

9) y=6/5x

Step-by-step explanation: For the graph: if the line is pointing to the right Mx from the equation Y=Mx+B it’s going to be POSITIVE for example: Y=7x+4 If it’s pointing to the left it’s NEGATIVE for example: Y=-6x+2. If want to know the Y-INTERCEPT = B you have to find the point that is connected to the (0,0) on the graph