A customer must choose a color of wrapping paper and gift box type for gift wrapping at a store. The table shows the customer’s options.

Wrapping Paper Color
red (R)
silver (S)
yellow (Y)

Gift Box Type
regular (G)
premium (P)

Which list shows the complete sample space of choosing a wrapping paper color and gift box for the gift?

A)GR, GS, GP, GY

B)PG, PR, PS, PY

C)RG, RP, RS, SG, SP, YG, YP, YR, YS

D)RG, RP, SG, SP, YG, YP

Given -

To find -

Concept -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

Solution -

[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]

[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18(x+1)=180}[/tex]

[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]

[tex]\rightarrow\sf{x+1=10}[/tex]

[tex]\rightarrow\sf{x=10-1}[/tex]

[tex]\rightarrow\boxed{\bf{x=9}}[/tex]

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

Answer:

Answer is A.

Step-by-step explanation:

Answer:

It is the left one.

Step-by-step explanation:

This (<) symbol shows us which number is bigger. In this case, 4.626 is larger than 4.606, so we put this "<"

Answer:

the middle one.

im just guessing

Answer:

a = side length a

b = side length b = bottom triangle base b

c = side length c

h = height of prism

H = height of bottom triangle

V = volume

Atot = total surface area = all sides

Alat = lateral surface area = all rectangular sides

Atop = top surface area = top triangle

Abot = bottom surface area = bottom triangle

Step-by-step explanation:

Answer:

792ft²

Step-by-step explanation:  

Have a blessed day

I hope this helps

God bless

Answer:

OK I think that their is 9 options

Step-by-step explanation:

1.(red,tulips,plaid)  2.(red,daisies,striped)   3.(red,roses,solid)  

4 .(blue,tulips,plaid)   5.(blue,daisies,striped)  6.(blue, roses,solid)  7.(yellow,tulips,plaid)  8.(yellow, daisies,striped)   9.(yellow, roses, solid)

Hope this somewhat helps  :)

Answer:

40%

Step-by-step explanation:

2/5 = 0.4 or 40% (2 x 2 = 4, 5 x 5 = 10)

Therefore 40% of the students earned an A.

Answer:

$3.78 per pound

Step-by-step explanation:

5 tons = 10,000 lbs

37,800/10,000 = 3.78

Answer:

27720cm

Step-by-step explanation:

to find area, we multiply all the widths.

11×14×20×9= 27720cm

Answer:

235 square centimeters

Step-by-step explanation:

Split The Shape Into 2.

Shape 1: 11 cm by 14 cm

11 cm * 14 cm = 154 square centimeters

Shape 2: (20 - 11) cm by 9 cm

(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters

Original Shape = Shape 1 + Shape 2

154 + 81 = 235 square centimeters

Answer:

540 cm²

Step-by-step explanation:

Area of the figure

Area of 4 figures

Answer:

5 2/9 would be the answer

Answer:

80

Step-by-step explanation:

So, let's say the total number of pizzas is x

If 15% of x, the total, is 12, then x * 0.15 must = 12

Use this to make an equation

12 = 0.15x

Divide both sides by 0.15 to get x on its own

12 / 0.15 = x0.15 / 0.15

80 = x

80 pizzas were sold

Answer:

Library A: 1500 books

Library B: 900 books

Library C: 3250 books

Library D: 750 books

Library E: 3000 books

From GREATEST to LEAST

Library C, Library E, Library A, Library B, then Library D

Answer:

201

Step-by-step explanation:

Answer:

6.43 yards

Step-by-step explanation:

a²+b²=c²

x²+5.4²=8.4²

x²+29.16=70.56

-29.16 -29.16

x²=41.4

x=6.43

Answer:

n ≥ 29

She needs to do more than 29 pushups on the sixth day.

Step-by-step explanation:

First, we need to use the formula for finding the average. We currently have numbers for the first 5 days.

(22+26+21+25+27+n)/6 = 25

Multiply both sides by 6.

25*6 = 150

150-27-25-21-26-22=x

x=29

Since it is an inequality, Sarah needs to do more than 29 pushups on the sixth day.

Answer:

Casey's snack mix is slightly cheaper per ounce.

Step-by-step explanation:

Divide the total price per box by the amount of ounces. This results in:

- Kim's snack mix costing $0.16 per ounce.

- Casey's snack mix costing $0.14 per ounce.

Therefore, by $0.02, Casey's snack mix is cheaper even though the total price is higher due to having more mix.

Answer:

112.9 cubic meters

Step-by-step explanation:

Formula for Sphere: (4/3) * π*r*3

Since the hemisphere is half of the sphere, plug in variables and multiply.

Answer:

calorie, gram, 1

Step-by-step explanation:

this is what I know, good luck:)

Answer:

12

Step-by-step explanation:

V = l*w*h
V = 4*1.5*2
V = 12

Hope this helps :)

Answer:

0.30

Step-by-step explanation:

Each marker costs 30 cents each (0.30$)

you have to divide the amount of money (6) by the amount of markers (20)

6 ÷ 20= 0.30

Answer:

80

Step-by-step explanation:

For these types of counting problems, just multiply all of the levels.

For example, this would be

4 choices

5 choices

4 choices

Multiply 4*5*4, and you get 80.

Total number of ways of combining one level from each of the growth factors is equals to 80.

" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."

According to the question,

Number of growth factors =3

First growth factor: Lightening

Second growth factor: Age

Third growth factor : Temperature

As per the data given we have,

Number of levels in lightening 'm'= 4

Number of levels in age 'n'= 5

Number of levels in temperature 'p' =4

Substitute the value as per the definition of fundamental principle of counting

Total number of ways = m × n × p

                                     = 4 × 5 × 4

                                     = 80 ways

Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.

Learn more about fundamental principle of counting here

https://brainly.com/question/23905307

#SPJ2

Answer:

8x+6 is less than or equal to 42

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

Cameron pays $6 to rent shoes.

Cameron pays $8 per game.

Cameron has a limit of $42.

Expression: 8x + 6 [tex]\leq[/tex] 42

Cameron must spend less than or equal to $42.

hope this helps :)

Answer:

Step-by-step explanation:

Remark

Use the formula for the Area of a Triangle to find the number of square feet the paint will have to cover.

Formula

Area = 1/2 base * height

Givens

b = 20 feet

h = 21 feet

Solution

Area = 1/2 * 20 * 21

Area = 1/2 * 420

Area = 210 square feet

Answer:

49 and 98, with an area of 4802

Step-by-step explanation:

So, let X be one of the sides, and Y be the other
X*Y would be the area of the rectangle since width*length = area, and X is the width and Y is the length
2X+Y would be the perimeter, excluding the wall (since we don't need fencing for the side sticking to the wall)

To find the max area, we can plot our two equations
so, our two equations:
1. 2X+Y=196 (since perimeter)
2. X*Y=area, and we're trying to maximise it
We can re-arrange the first equation to get
3. Y=196-2X
plug our new equation (#3) into the second equation(#2)
to get:
X*(196-2X)=area=196X-[tex]2X^2[/tex]
And now that we have this equation, we can either:
Graph it to see the largest area (the highest point)
Or calculate the max area using calc
We have a quadratic function that goes up, then down as X increases, so we'll try to find the point where the function stops going up, and instead goes down as X increases (image is attached, not to scale). Recall that the  first derivative basically tells is the slope of a function/equation at a given X, so when the function is at a slope of 0, we know that the area is at its max point.
Take the first derivative
(196X-2X^2)'=196-2(2X)=196-4X
196-4X is the equation of the slope, so when X = 49, then the slope is 0
This means that one of the side lengths should be 49
To find out which one, we can use trial and error: (there are 2 cases)
1. 49*((196-49)/2)=3601.5
or:
2. 49*(196-2*49)=4802
The second option is correct since the number, or the area is larger.
Side length 1: 49
Side length 2: (196-2*49), or 98

Note: there's definitely another way to do this problem

Answer:

Step-by-step explanation:

Since the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor. This gives us that D'(36,0).

Answer:

297

Step-by-step explanation:

3*3*3*11=297

How you find the area is by multiplying all of the sides

Answer:

E. 24 and 32

Step-by-step explanation:

this is because the factors for each number

24= 1,2,4,6,8,12,24

36= 1,2,3,4,8,12,16,32

Answer:

Pink: 48 units sq

Blue: 42 units sq

Step-by-step explanation:

Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.

PINK trapezoid:

BLUE trapezoid:

Hope this helps!

Answer:

pentagon, octagon and heptagon.

Step-by-step explanation:

pentagon - five sides

hexagon - six sides

heptagon - seven sides

octagon - eight sides

quadrilateral - four sides

nonagon - nine sides

In this question, we have three polygons: pentagon, octagon and heptagon. (in order from left to right)

Hope this helps!

Answer:

variation?

Step-by-step explanation: