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Roman55 [17]
3 years ago
11

Match each simplified fraction on the left with an equivalent rate on the right.

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

2/65 = 4 teachers for 130

3/100 = 9 teachers for 300

2/55 = 8 teachers for 220

3/85 = 6 teachers for 170

Step-by-step explanation:

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Two terms of a geometric sequence are given. Find the first five terms. Please help asap
Zepler [3.9K]

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ r^{6} = 256 → (1)

a₁ r^{9} = 2048 → (2)

Divide (2) by (1)

\frac{a_{1}r^{9}  }{a_{1}r^{6}  } = \frac{2048}{256}

r³ = 8 ( take the cube root of both sides )

r = \sqrt[3]{8} = 2

Substitute r = 2 into (1)

a₁ × 2^{6} = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

7 0
3 years ago
Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land
Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are <u>89 acres</u> (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37%  of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

\frac{37}{100}\times 240

0.37\times 240

88.80

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).

5 0
4 years ago
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
3 years ago
The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
12345 [234]
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex

therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6


A is ansre

5 0
4 years ago
Read 2 more answers
Prove that A is a subset of B if and only if B complement is a subset of A complement.
WITCHER [35]
Please read the attached file

3 0
3 years ago
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