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2 years ago

Find an equation for the nth term of the arithmetic sequence.

Mathematics

1 answer:

babymother [125]2 years ago

7 0

Answer:

The common difference would be calculated as:

(a21-a19)/2

(-164--(-58 ))/2 (Replacing the values )

(-164 +58)/2 (Changing signs)

(-106)/2(Subtracting)

-53

Then we are going to replace the common difference(d) in the sequence formal with the 21st term . It is done for finding the first term of the sequence.

a21=a0+d*(n-1)

-164=a0+-53*(21-1) (Replacing the values)

-164=a1-53(20) (Subtracting)

-164=a1-1060 (Multiplying )

-164+1060=a1 (Adding 1060 on both sides of the equation)

896=a1

The answer would be : an= 896-53*(n-1), which is the option B.

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Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n

Slav-nsk [51]

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

$7.2-n > 29$

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to $\leq$ or greater than equal to $\geq$ .

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

$7\dfrac{2}{10}$

Suppose the unknown number is n. Now, the differences of seven and two tenths, and this number (<em>n</em>) is more than twenty-nine. The more than word means, the greater than sign for equation. Thus, it can be expressed as,

$7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29$

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

$7.2-n > 29$

Learn more about the inequality equation here:

brainly.com/question/17724536

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2 years ago

Find the unit rate.<br> 180 miles in 3 hours<br> The unit rate is<br> miles per hour.<br> Pls hurry

Natali [406]

Answer:

60 miles per hour

Step-by-step explanation:

Consider the structure of the wording: "miles per hour"

The word "per" means for each. There is you clue.

Each is, one of and one of is unit measurement

So the controlling element in this question is that you need to convert the 3 hours into 1 hour.

Using ratio properties

180

miles

hour

We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.

⇒

180

⇒

So the unit rate of speed is

miles

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2 years ago

A clothing store put a sales price of $48 on a purse. Before the markup, the store paid $40 for the purse. What percent markup d

Nimfa-mama [501]

Answer:

20% mark up

Step-by-step explanation:

[(48-40)/40]×100%= 20%

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2 years ago

Sarah decides to take her six year old son to the circus. The price for the child's ticket is 4.75 dollars less than the price f

mariarad [96]

X + 4.75 = Adult's ticket price.

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3 years ago

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Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,

almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

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2 years ago