A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens up by 50% before selling them. Prove that the owner calculated their markup correctly. If they did not, how much of a markup actually occurred?

Two bikers are riding a circular path.

The first rider completes a round in 12

minutes. The second rider completes

a round in 18 minutes. If they both

started at the same place and time

and go in the same direction, after

how many minutes will they meet

again at the starting point?

[tex] \huge \mathsf \blue{Given}[/tex]

[tex] \huge \mathsf \blue{To\: Find}[/tex]

After how many minutes will they meet

again at the starting point?

Take the LCM of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

Thus, the LCM of 12 and 18 is 36.

Answer:

Find the LCM of 12 & 18 .

12 = 2×2×3

18 = 3×3 ×2

So , LCM of ( 12 , 18 ) = 2×3×2 = 36

Answer:

the second one

Step-by-step explanation:

Hello There!

The area of a triangle can be found using this formula

[tex]A = \frac{1}{2} (a+b)h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

top base = 9cm

bottom base = 14 cm

height = 12 cm

slant height = 13 cm

using this information, we plug in the values into the formula

So [tex]A = \frac{1}{2} (9+14)12[/tex]

the equation we created matches the 2nd equation therefore the second one is your answer

Answer:

3 books

Step-by-step explanation:

You divide 21 by 7 to equally distribute the books on each shelf.

Answer:

30326.4 rounded to the nearest tenth is 30326.4

Step-by-step explanation:

There is no hundredth to change the .4 it is already good as it is.

Answer:

I would feel like I have a lot of power and I would use that to try to help people.

Answer:

<1  and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm

Answer:

76.6

Step-by-step explanation:

so the nearest tenth is 76.57143

Answer:76.6

Explanation:

Answer:

hi

Step-by-step explanation:

how are you

Answer:  A: L: W: H = 10: 5: 8

Step-by-step explanation:  The height of the tank is 18 feet longer than the width

H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet

Hence, L = 10 * 6 = 60 feet

W = 5 * 6 = 30 feet

H = 8 * 6 = 48 feet

Volume = 60 * 30 * 48 = 86400 ft³

Surface Area = 2 * (30 * 60 + 48 * 60 + 30 * 48) =12240 ft²

Answer:

3,761.46 m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

π = 3.14

radius, r = diameter/2

= 25/2 = 12.5 m

Height, h = 23m

Volume of a cone = 1/3πr²h

= 1/3 * 3.14 * 12.5² * 23

= 1/3 * 3.14 * 156.25 * 23

= 11,284.375 / 3

= 3761.4583333333

Approximately,

Volume of the cone = 3,761.46 m³

Answer:

angle 4 is congruent to angle 7

angle 8 is congruent to angle 3

angle 2 is congruent to angle 5

angle 1  is congruent to angle 6

Step-by-step explanation:

alternate exterior angles are congruent, which means identical

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

Answer:

40 m2

Step-by-step explanation:

96m² is your Answer:

Solution given:

base[b]=12m

height[h]=8m

we have

Area of parallelogram=b×h=12×8=96m²

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Answer:(9,3)

Step-by-step explanation:

Answer:

1,736km^2

Step-by-step explanation:

Answer:

2,352 km^2

Step-by-step explanation:

So there is a square and 4 triangles.

You first, find the area of the square.

You then get: 35 x 48 = 1,680

Then you need to add the triangles.

Because we have 2 triangles on each side the area formula of a triangle in which is 1/2 times by the base and height can be solved by just B * H.

Doing that you can get: 48 * 7 = 336

Because you have 2 triangles, the final area results in:

1,680 + 336 * 2 = 2,352

Answer:

D

Step-by-step explanation:

Answer:

10^4x 4^5 hope that helps you out

Answer:

Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico

Answer:

C

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

-8x + 2y = 4

y = 4x + 2

Put the value of y into the first equation

-8x + 2(4x + 2) = 4                 Remove the brackets

-8x + 8x + 4 = 4                    The 8xs cancel out.

4 = 4                                     But this is useless. There is no single solution

Answer:

d. 13 inches

Step-by-step explanation:

When we need to solve the side length and length of triangles, we need to remember one thing.

Coming to a right triangle, there are two short sides and one long side, and the two short sides need to add up to something less than the one long side.

Therefore, since we know our two short sides, add them :

7in. + 5in.

= 12in.

Looking at the answers, we can point out that d. is greater than 12 inches, therefore making it the correct answer.

Answer:

4ˣ + 4⁻ˣ es igual a 7

Step-by-step explanation:

4ˣ + 4⁻ˣ

Dónde;

2ˣ + 2⁻ˣ = 3

Nosotras tenemos

[tex]2^x + \dfrac{1}{2^x} = 3[/tex]

[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]

[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]

Deje que 'a' represente 2ˣ, tenemos;

a² - 3·a + 1 = 0

a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2

∴ a = 2ˣ = (3 ± √5)/2

((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1

x = ln(3 ± √5)/2/(ln(2))

4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7

∴ 4ˣ + 4⁻ˣ = 7.

Answer:

5x - 68 = x

Step-by-step explanation:

number = x

5x - 68 = x

Solve for x:

5x - 68 = x

-68 = x - 5x

-68 = -4x

68 = 4x

x = 68/4

x = 17

Answer:

55x-68 = x

Step-by-step explanation:

Answer:

1300.62

Step-by-step explanation:

thank me later lolol.

Answer:

its 3

Step-by-step explanation: