Quantity of Notebooks Cost
5/$6.00
6/$5.82
7/$6.44
8/$6.80
9/$8.01
The table shows the cost for different quantities of notebooks offered online. Which is the BEST VALUE?
A) 5 notebooks
B) 6 notebooks
C) 7 notebooks
D) 8 notebooks

Answer:

Step-by-step explanation:

[tex]35 - 21 + 6m[/tex]

Simplify : Subtract

[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:

x = 19 degrees

Step-by-step explanation:

180 - 114 = 66

180 - 66 = 114

Other triangle angle is 114 degrees

114 + 47 = 161

180 - 161 = 19

x = 19 degrees

Answer:

1 5/8

Step-by-step explanation:

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

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Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Answer:

40

Step-by-step explanation:

so (48/120)× 100%=40%

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

Answer:

1. $85

2. $90.10

3.$108.12

4.$54.06

Step-by-step explanation:

100-15=85 (15% of 100 is 15)

6 percent of 85 is 5.10. So 85 + 5.10=90.10

20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12

Now divide by 2 to get how much they each will pay 108.12/2 = 54.06

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Answer:

20 builders

Step-by-step explanation:

Answer: 20 builders.

Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.

the last one is the answer

The measurement of ∠ CSK = 110.2°

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that Lines AB, CD, and LK intersects at R and S respectively,

m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)

m∠LRB = m∠CSK  → (Alternate exterior angles)

m∠CSK + m∠RSC = 180°  → (Linear pair angles)

Therefore, m∠LRB + m∠RSC = 180°

(3x - 2)° + (2x - 5) =  180°

5x - 7 = 180°

5x = 187°

x = 37.4°

So, m∠CSK =  (3x - 2)°

(3x - 2)° = 3*37.4 - 2

m∠CSK = 110.2°

Hence, The measurement of ∠ CSK = 110.2°

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Answer:

y=3.5572205

x=0.1114441

Step-by-step explanation:

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Answer:

877.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

Answer:

y = 8/6x + 10/3

Step-by-step explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2)   over   (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3

Answer:

Step-by-step explanation:

a = 1935 / 5 is the change

b = 1960 / 10 is the change

c = 1950 / 20 is the change

They are all increasing i'd assume they all went threw a positive change

Answer:

2.2 * 2.2 = 4.84

4.84 * 6 = 29.04

THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!

(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)

Example; First, write the formula.

A=bh

Next, substitute in the values you have been given.

A=6×2

Then, do the multiplication.

A=12

The answer is 12 sq. cm.

Answer:

10

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

Answer:

1/2 and 6/1

i belive you cross multiply

so you would get 12/1

so n=12

hopw i helped

Step-by-step explanation:

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation: