If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen

Answer:

lesser x =1

greater x = 3

Step-by-step explanation:

x^2 -4x+3 =0

Factor

What two numbers multiply to -3 and add to -4

-3*-1 = 3

-1+-1 = -4

(x-3)(x-1) =0

Using the zero product property

x-3 =0   x-1 =0

x=3  x=1

Answer:

lesser x = 1

greater x = 3

Step-by-step explanation:

x^2 - 3x - x + 3 = 0

x(x - 3) - 1(x - 3) = 0

= (x - 3)(x - 1) =0

= x = 3, 1

Hope this helps!

Answer:

The  difference is  22.5 km

Step-by-step explanation:

CD = 4.5 cm

DE = 8 cm

       -----------

         12 .5 cm

CE = 5 cm

The difference is

12.5 - 5 = 7.5 cm

Then multiply by the scale factor

7.5 cm * 3 km /1 cm =22.5 km

Answer:

The answer is A, parallel.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took the test

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

A=bh/2

A=2/3ft*3/5ft/2

A=2/3×5/5*3/5×3/3/2

A=10/15*9/15/2

A=90÷15/2

A=6ft^2

Answer:

The area of triangle is 1/5 feet².

Step-by-step explanation:

You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times height \times base[/tex]

Let height = 3/5,

Let base = 2/3,

[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]

[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]

[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]

[tex]area = \frac{1}{5} {feet}^{2} [/tex]

Answer:

and 4x-5x-4x+3y+7y-3y-8z+10z-8z

-5x+7y-6z :this is the answer

Answer:

1/2

Step-by-step explanation:

4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green = 18 marbles

P( red or green) = red or green / total

                          = (4+5) / 18

                          = 9/18

                          =1/2

Answer:

50%

Step-by-step explanation:

4 red + 5 green = 9 marbles

total marbles = 18 marbles

9 is 50% of 18

Answer:

Average: Add all and divide by 6

that gives us 92/6 = 15.333... or 15

Median: order it:

9, 14, 14, 18, 18, 19

median is 16

2 averages

Median: 16

Average: 15.33.. or 15

Outlier: 9

Answer:

Arrow C.

Step-by-step explanation:

Out of three arrows, nearest arrow from the origin will be the best arrow.

Ordered pair for arrow A → (-5, 4)

Distance between A and bullseye = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}[/tex]

                                                    =  [tex]\sqrt{(0+5)^2+(0-4)^2}[/tex]

                                                    = [tex]\sqrt{41}[/tex]

                                                    = 6.40 units

Ordered pair for arrow B → (5, -5)

Distance between B and bullseye = [tex]\sqrt{(0-5)^2+(0+5)^2}[/tex]

                                                         = [tex]5\sqrt{2}[/tex]

                                                         = 7.1 units

Ordered pair for arrow C → (-2, -6)

Distance between C and the bullseye = [tex]\sqrt{(0+2)^2+(0+6)^2}[/tex]

                                                               = [tex]\sqrt{40}[/tex]

                                                               = 6.32 units

Distance between C and the bullseye is the shortest.

Therefore, arrow C will be the best arrow.

Answer:

6.3 cm

Step-by-step explanation:

Answer & Step-by-step explanation:

[tex]\frac{1}{4}(x+5)^2-1=3[/tex]

Add 1 to both sides.

[tex]\frac{1}{4}(x+5)^2=4[/tex]

Multiply both sides by 4.

[tex](x+5)^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]

[tex]x+5=4[/tex]

Subtract 5 from both sides.

[tex]x=-1[/tex]

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

Answer:

Using Piragorean Theorem:

[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]

Answer:

[tex]\sqrt{149[/tex]

Step-by-step explanation:

7² + 10² = 12.21²

49 + 100 = 149

Answer:  A

Step-by-step explanation:

Reflection across y = 3

The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)

U = (-5, 4) is 1 unit above y = 3

U' = (-5, 2) is 1 unit below y = 3

T = (0, 5) is is 2 units above y = 3

T' = (0, 1) is 2 units below y = 3

S = (-4, 2) is 1 unit below y = 3

S' = (-4, 4) is 1 unit above y = 3

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)

U' = (-5, 2) is 4 units to the left of x = -1

U'' = (3, 2) is 4 units to the right of x = -1

T' = (0, 1) is 1 unit to the right of x = -1

T'' = (-2, 1) is 1 unit to the left of x = -1

S' = (-4, 4) is 3 units to the left of x = -1

S'' = (2, 4) is 3 units to the right of x = -1

Answer:

C) Intersecting

Step-by-step explanation:

happy to help ya:)

Answer:

Is thier an answer that you can put as Perpindicular because that should be the right answer

Step-by-step explanation:

Perpendicular lines are two lines that intersect and form right angles

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

Answer:

1) D

2) B

3) A

4) D

Step-by-step Explanation:

1) 1,300,000

= 1.3 × 10⁶

2) 0.052

= 5.2 × 10⁻²

3) 4,500

= 4.5 × 10³

4) 0.00061

= 6.1 × 10⁻⁴

Answer:

[tex]40 \:mm[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

[tex]\frac{120}{3} =40[/tex]

Answer:

40mm

Step-by-step explanation:

Perimeter of an equilateral=3a

120=3a

a=120/3

a=40mm

Answer:

V of cylinder = V=πr^2h

V of rectangular prism = l*w*h

V of cylinder = 16 * 3.14 * 8

                      = 401.92

V of rectangular prism = 14 * 8 * 12

                                      = 1344

Add = 401.92 + 1344

       = 1,745.92

Answer:

-1/4

Step-by-step explanation:

Multiplicative inverse is another word for reciprocal

It is the number you multiply by to get 1

-4 * x = 1

Divide each side by -4

x = 1/-4

x = -1/4

Answer:

- 1/4

Step-by-step explanation:

- 4 * x = 1

= - 1/4

Hope this helps!

Answer:

A, B, D

Step-by-step explanation:

The options are:

A. Magnitude is never a negative value

This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.

Hence, the polarity of the number is not necessary.

B. The magnitude of –1.9 is |–1.9| which is 1.9

This is true because they have the same numerical value.

C. The absolute value of a number is greater than its magnitude

This is false because absolute value and magnitude of a number are the same.

D. The numbers –4 and 4 have the same magnitude

This is true. They have the same absolute value, hence, they have the same magnitude.

E. The magnitude of -2/3 is less than the magnitude of 2/3

This is false as already explained in C above.

Answer:

a b d

Step-by-step explanation:

Answer:

Each apple pie requires 8 apples, and each apple tart requires 4 apples.

Step-by-step explanation:

We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.

Answer:

The first factor is the amount of charge on each object. The greater the charge is then the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is.

Step-by-step explanation:

Answer:

Step-by-step explanation:

n*8<72

:8     :8

n<72/8

n<9

n could be  1,2,3,4,5,6,7,8

Step-by-step explanation:

In order to find Volume for a rectangle use the formula: L * W * H

2 1/4 * 3/4 * 1 1/4 = 2 7/64

A cube with the side lengths of 1/4:   1/4 * 1/4 * 1/4 = 1/64

Divide 1/64, by the prisms volume, 2 7/64 to get 135.

I'm not sure if this is right, but I hope that helps! :)

Answer:

I have a feeling the answer is false

Step-by-step explanation:

If this is wrong please dont be mad :/

Yes, a circle can be circumscribed in quadrilateral.

According to the definition, a cyclic quadrilateral is a quadrilateral that is encircled by a circle. It signifies that all four vertices of the quadrilateral are within the circle's perimeter.

A cyclic quadrilateral is a quadrilateral with all four of its vertices on a circle. It is also known as an inscribed quadrilateral.

We know that a cyclic quadrilateral is one in which the opposite angles of a quadrilateral amount to 180 and a circle can be inscribed.

The opposite angles add up to 180 in this example, indicating that it is a cyclic quadrilateral.

Learn more about this cyclic quadrilateral here:

brainly.com/question/2491603

#SPJ7

Answer:

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 0.93 = 93%

Step-by-step explanation:

Let 'V' be the event of  rain in Vancouver

Given that the probability of rain in Vancouver

             P( V) = 20% = 0.20

             P( V⁻) = 1- P( V) = 1 - 0.20 =0.80

Let 'C' be the event of  rain in Calgary

Given that the probability of rain in Calgary

             P( C) = 65% = 0.65

            P( C⁻) = 1- P( C) = 1 - 0.65 =0.35

Let 'S' be the event of  rain in Saskatoon

Given that the probability of rain in Saskatoon

             P( S) = 75% = 0.75

             P( S⁻) = 1- P( S) = 1 - 0.75 =0.25

First we will prove that the probability that it will not rain in all 3 cities on that day

P( V⁻ ∩  C⁻ ∩  S⁻  ) =  P( V⁻) P( C⁻) P(S⁻)

                              =  0.80 × 0.35 × 0.25

                             = 0.07

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 1-(P( V⁻ ∩  C⁻ ∩  S⁻  )

                   = 1 - 0.07

                  = 0.93

Answer:

There is not enough information to solve. We need some more information to solve this question. The best we can do is

g(x) = g(f(x))

Answer:

c. 36 lb. Of carbon; 16 kg of carbon

Step-by-step explanation:

An healthy body is approximately 18% carbon by weight. To determine how many pounds of carbon a body weighing 200Ibs contain can be gotten below.

A healthy person has approximately 18% carbon by weight. Therefore, the number of pounds of carbon for a person weighing 200 Ibs is

pounds of carbon = 18/100 × 200

pounds of carbon = 36 Ibs

According to the question the weight should be in kg.Therefore, we have to convert using the conversion rate you highlighted.

1 Ib = 0.454 kg

36 Ibs = ? kg

cross multiply

weight of carbon in kg = 0.454 × 36

weight of carbon in kg = 16.344 kg

weight of carbon in kg ≈ 16 kg

It sells twice as many kitten as lizards:

Kittens sold = 15 x 2 = 30 total kittens.

It sells 6 times the amount of fish:

Fish sold = 6 x 30 = 180 total fish.

Lizards = 15

Kittens = 30

Fish = 180

Answer:

They sell 225 pets each week.

Step-by-step explanation:

Let f be fish, k be kittens, and l be lizards.

[tex]f[/tex]÷6=[tex]k[/tex]

[tex]k[/tex]÷2=[tex]l[/tex]

If [tex]l=15[/tex], then:

[tex]k=30\\f=180[/tex]

180+30+15=225 pets

They sell 225 pets each week.

(I hope this isn't wrong but that answer seems wrong)