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3 years ago

Twice the sum of x and y decreased by 21

1 answer:

8 0

Answer: 2((x+y)-21)

Calculation/Explanation:

Twice the sum of x and y decreased by 21 means that you must add x and y first before decreasing by 21. The last step is to double the whole equation that we just performed.

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Simplify the given expression

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Answer:

Step-by-step explanation:

you divide

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3 years ago

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Insert geometric means in each geometric sequence.

Digiron [165]

Answer:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the $n^{th}$ term of a geometric sequence.

$a_n=ar^{n-1}$

Where $a$ is the first term and

$r$ is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

$ar = 24\\ar^4 = \dfrac{3}{64}$

Solving the above equation:

$r = \dfrac{1}{8}$

Therefore, the sequence is:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

Considering the second given sequence:

$ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2$

Therefore, the sequence is:

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

Considering the third sequence:

$a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3$

Therefore, the sequence is:

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

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3 years ago

A cheese pizza costs $5. Additional toppings cost $1.50 each. Write and graph an equation that represents the total cost $c$ (in

Triss [41]

Answer:

5 + 1.5x = total cost

Step-by-step explanation:

5 is for one pizza and x is for toppings. For every topping it is multiplied by 1.5. for example, if you have 2 toppings for one cheese pizza it would be 5 dollars + 1.5x2 which is 3 so 3+5=8$ in total.

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3 years ago

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Simplify the square root of 50. A. 5 times the square root of 2 B. the square root of 5 times the square root of 10 C. 2 times t

Ksenya-84 [330]

Sqrt(50) = sqrt(25*2) = sqrt(25) * sqrt(2) = 5*sqrt 2, answer is A

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4 years ago

A trapezoid has two sets of parallel sides.<br><br> always<br> sometimes<br> never

natulia [17]

There is some disagreement whether parallelograms, which have two pairs of parallel sides, should be regarded as trapezoids. Some define a trapezoid as a quadrilateral having only one pair of parallel sides (the exclusive definition), thereby excluding parallelograms.

In other words, sometimes.

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4 years ago

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