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3 years ago

11

suppose two different fractions with the same denominators are both less than 1 Can their sum equal 1? can their sum be greater

than 1

1 answer:

pochemuha3 years ago

6 0

The sum could be greater than 1 but not equal to 1.

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Using f(x) = 3x - 3 and g(x) = 2x, what is f(4) - g(2) ?

Zielflug [23.3K]

Answer:

5

Step-by-step explanation:

evaluate f(4) by substituting x = 4 into f(x) and g(2) by substituting x = 2 into g(x)

f(4) = (3 × 4) - 3 = 12 - 3 = 9

g(2) = (2 × 2 ) = 4

f(4) - g(2) = 9 - 4 = 5

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2 years ago

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Black_prince [1.1K]

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Step-by-step explanation:

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2 years ago

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The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

s2008m [1.1K]

Answer:

<h3> aₙ = 8n + 27</h3>

Step-by-step explanation:

$a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27$

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3 years ago

Value of x for 12(x-2)+3x=1/2(x+6)+2

Damm [24]

Answer:

The value of x = 2

Step-by-step explanation:

Given the equation

$12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2$

Expand 12(x-2) = 12x - 24

Expand 1/2(x+6) = 1/2x + 3

so the equation becomes

$12x-24+3x=\frac{1}{2}x+3+2$

simplifying

$15x-24=\frac{1}{2}x+5$

$15x=\frac{1}{2}x+29$

multiplying both sides by 2

$30x = x + 58$

subtracting x from both sides

$30x - x = 58 - x$

$29x = 58$

divide both sides by 29

$\frac{29x}{29}=\frac{58}{29}$

simplifying

$x = 2$

Therefore, the value of x = 2

4 0

2 years ago

Some identical cylinders each have a radius of

Anni [7]

Answer:

8 cylinders

Step-by-step explanation:

The surface area of a cylinder is given by the formula ...

A = 2πr(r +l) . . . . . for radius r and length l

__

The cylinders Rufus has each have an area of ...

A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²

That means 2500 cm² of paint will cover ...

2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders

Rufus has enough paint to cover 8 cylinders completely.

4 0

1 year ago