Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

[tex]A_1=\dfrac{\sqrt{3}}{4}a^2[/tex]

Where, a is the side length.

Putting [tex]a=2[/tex], we get

[tex]A_1=\dfrac{\sqrt{3}}{4}(2)^2[/tex]

[tex]A_1=\dfrac{\sqrt{3}}{4}(4)[/tex]

[tex]A_1=\sqrt{3}[/tex]

[tex]A_1\approx \sqrt{3}[/tex]

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

[tex]LA=Ph[/tex]

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

[tex]A_2=(2+2+2)5[/tex]

[tex]A_2=(6)5[/tex]

[tex]A_2=30[/tex]

Now, the total surface area is the sum of areas of bases and lateral surface area.

[tex]A=2A_1+A_2[/tex]

[tex]A=2(1.73)+30[/tex]

[tex]A=3.46+30[/tex]

[tex]A=33.46[/tex]

Therefore, the total surface area is 33.46 cm².

Answer:

A... Y=-3X+2

Step-by-step explanation:

trust

Answer:

C

Step-by-step explanation:

First, find the slope:

Formula for slope:

m = y2 - y1 / x2 - x1

m = -2 - -5 / 0 - -1

m = - 2 + 5 / 0 + 1

m = 3 / 1

m = 3

Next, find the y-intercept:

When x = 0, y = ???

According to the chart, when x = 0, y = -2. This is our y-intercept, also known as b.

Format the answers:

y = 3x + -2

y = 3x - 2

Check your work:

Plug in any x value and the y value should match the chart:

-5 = 3(-1) - 2

-5 = -3 - 2

-5 = -5

Correct

Answer:

Step-by-step explanation:

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

The formula for the perimeter of a kite = 2(a + b)

Where a and b where the side length of the kite

Answer:the first one is x=2 y=3

Step-by-step explanation:2 times 2 is 4 and 4 times 3 is 12 12 plus 4 is 16

Answer: (8,0)

x=8 & y=0

Step-by-step explanation:

1. Solve for y for the first equation which will give you y = 4 - 1/2x

2. Plug in y = 4 - 1/2 to the other equation 3x - 2 (4-1/2x)=8

3. Slove for x which will give be 8

3. plug 8 back to 4 - 1/2 (8) so you'll get y = 0

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

Answer:

64.8

Step-by-step explanation:

37.88+ 26.92

64.80

Answer:

He had 64.8

Step-by-step explanation:

Just add 37.88 and 26.92 together :)

37.88

+26.92

  64.8

Hope it helps!! :D

Answer:

let ticket be t.

no of t=9

parking fee be p=$3

Equation is:

9t+p=$30

9t+$3=$30.

9t=$30-$3

t=$27/9

t=$3

The cost per ticket is $3.

Answer:

42 cubic cm

Step-by-step explanation:

Answer:

89 maybe?

Step-by-step explanation:

i'm not sure if my math is correct but that's what i got

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Step-by-step explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

Answer:

B

Step-by-step explanation:

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

Answer:

Depends on the dice type. normal dices are 1/6 some are 1/18

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

4 out of 6 is 60% which means that is the correct answer.

Answer:

19.648

Step-by-step explanation:

because 24.56 / 5 = 4.912

4.912*4=19.648

Answer:

false

Step-by-step explanation:

hope this helps....

Answer:

I suck at math so sorry

Answer:

Elena’s MAD:  2

Step-by-step explanation:

 24  ÷ 12 = 2

Answer:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

Answer:

x = 6 , AC = [tex]\sqrt{89}[/tex]

Step-by-step explanation:

(3)

Tangents to a circle from an external point are congruent, then

4x - 9 = 15 ( add 9 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6

(4)

the angle between a tangent and a radius at the point of contact is right , so

Δ ABC is a right triangle with hypotenuse AC

Using Pythagoras' identity in the right triangle

AC² = AB² + BC² = 5² + 8² = 25 + 64 = 89 ( square root both sides )

AC = [tex]\sqrt{89}[/tex] ≈ 9.4 ( to 1 dec. place )

Answer:

7 ft.

Step-by-step explanation:

Please see the attached image.

I named the center Z btw

Because the circle is split into three congruent angles, each angle is 360/3=120°.

After dropping an altitude on the bottom triangle, the angle is bisected, so 120/2=60°.

By dropping the altitude, we also created a 30-60-90 triangle. By now you have probably learned the proportions for the sides of a 30-60-90 triangle, but if you haven't,

the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the other leg multiplied by √3.

So ZW is 4/2=2, and WY is 2√3.

XW=WY, so XY=2√3*2=4√3

4√3 is approximately 7.

7 ft.

The three panels are divided into three equal parts. This mean that the central angle from each panel is 120 degrees. So, the side length of w and the length of curve xy is 7 feet and 8 feet

Let the center of the circle be O (see attachment).

So:

[tex]\angle XOY = \frac{360}{3} = 120^o[/tex] ---- because the circle is divided into 3 equal parts

Considering [tex]\triangle XOY[/tex]

[tex]\angle W O Y = \frac{\angle X O Y}{2}[/tex]

[tex]\angle WOY = \frac{120}{2} = 60[/tex]

Considering [tex]\triangle WOY[/tex]

[tex]\sin(60) = \frac{wy}{yo}[/tex]

Where:

[tex]yo= 4[/tex]

So, we have:

[tex]\sin(60) = \frac{wy}{4}[/tex]

[tex]0.8860 = \frac{wy}{4}[/tex]

Multiply through by 4

[tex]wy = 4 * 0.8660[/tex]

[tex]wy = 3.464[/tex]

Because w divides xy into w equal parts

[tex]wx = wy = 3.464[/tex]

The length of w is:

[tex]w =wx + wz[/tex]

[tex]w = 3.464+3.464[/tex]

[tex]w = 6.928[/tex]

Approximate

[tex]w = 7[/tex]

Next, is to calculate arc length xy

This is calculated as follows:

[tex]xy = \frac{\theta}{360} * 2\pi r[/tex]

Where:

[tex]\theta = \XOY = 120^o[/tex]--- central angle

So, we have:

[tex]xy = \frac{\theta}{360} * 2\pi r[/tex]

[tex]xy = \frac{120}{360} * 2 * 3.142 * 4[/tex]

[tex]xy = \frac{1}{3} * 25.136[/tex]

[tex]xy = 8.33[/tex]

Approximate

[tex]xy = 8[/tex]

Hence, the side length of w and the length of curve xy is 7 feet and 8 feet respectively.

Read more about solving triangles at:

https://brainly.com/question/23295201

Answer:

3.85×10³ in ordinary form

= 3850​

Step-by-step explanation:

Answer:

3850

Step-by-step explanation:

.......................

...

Answer:

8

Step-by-step explanation:

anything raised to the power of 1 is itself

Answer:

1/216

Step-by-step explanation:

1/6 * 1/6 * 1/6

1/216

Answer:

A

Step-by-step explanation:

A = 8/7

B = -7/8

C = .78

A is the greatest

Answer:

A, C, and D all do because if you were to hold a pencil up vertically, the line would only intersect it once, if it intersected more, it is not a function

Step-by-step explanation:

Answer:

80 percent blue

Step-by-step explanation:

count how many marbles are in the bag and that will declare your answer

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

Answer:

After saving for 5 weeks he would have 130. 6x5=30+100=130

expression (6x5)+100

Step-by-step explanation:

Answer:

$130

$100 + $6w

Step-by-step explanation:

By question , Tariq had $100 . In one week he can save , $6 . So in 5 weeks he will save ,

=> $6 × 5

=> $ 30 .

Therefore after 5 weeks he will have ,

=> $ 100 + $ 30

=> $ 130 .

=> $100 + $6w

Answer:

For college degree the first box is 5

Step-by-step explanation: