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LiRa [457]
2 years ago
15

-8, 22, 52, 82, ... Find a 20

Mathematics
1 answer:
gladu [14]2 years ago
8 0

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = 30.

a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562

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Monica is mixing some custom-colored paint for her house. The color she wants requires 3⁄4 ounce of blue dye and 2⁄3 of an ounce
Genrish500 [490]

Ounce of blue dye mixed with one gallon of white paint base = 3/4

Ounce of blue dye mixed with eight gallons of white paint base = \frac{3}{4} (8)

= 3 × 2

=6

Ounce of pink dye mixed with one gallon of white paint base = 2/3

Ounce of pink dye mixed with eight gallons of white paint base = \frac{2}{3} (8)

= 16/3

= 5.3

Hence, 6 ounce of blue dye and 5.3 ounce of pink dye are needed to mix with 8 gallons of paint.

=6


4 0
3 years ago
Read 2 more answers
Sophia is organizing textbooks on her bookshelf. She has an English textbook, a biology textbook, a history textbook, and a writ
ANTONII [103]

Answer:

I believe it's 24 combinations.

Step-by-step explanation:

I found how many there were when starting with English, and there were six. I multiplied this by four (for the four books) and found 24.

Hope this helps! Have a nice day :)

5 0
2 years ago
Read 2 more answers
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the
Bezzdna [24]
Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

V = \dfrac{1}{3} \pi r^2 h

Total volume:

V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19

Volume of upper cone:

V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8

Volume of frustum:

V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)



3 0
3 years ago
Read 2 more answers
Find the permeter of a quadrilateral with vertices at C (2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hund
denpristay [2]

Answer:

12.76

Step-by-step explanation:

This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\ c =  \sqrt{ {a}^{2} +  {b}^{2}  }

dc =  \sqrt{ {3}^{2}  +  {1}^{2} }  =  \sqrt{10}  \\  cf = 1 \\ fe =  \sqrt{ {4}^{2}  +  {2}^{2} }  =  \sqrt{20}  \\ de =  \sqrt{ {1}^{2} +  {4}^{2}  }  =  \sqrt{17}  \\  \sqrt{10}  + 1 +  \sqrt{20}  +  \sqrt{17}  = 12.76

7 0
3 years ago
Please awnser this correctly! I will make you Brainliest!
Andrews [41]
Volume of cone: pi * r^2 * h/3
Given volume, height

942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...

Solution: radius is 10 in.
8 0
2 years ago
Read 2 more answers
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