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Dmitry_Shevchenko [17]

2 years ago

5

Steven put together 981 pieces of a puzzle. About how many pieces did he put together? Round to the nearest thousand. Use what y

ou know about place value to explain your answer.

1 answer:

Colt1911 [192]2 years ago

3 0

About 1,000 puzzle pieces

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Calculate the sum of the infinite series

andriy [413]

ANSWER

$S_ \infty = \frac{40}{3}$

EXPLANATION

The given series is

$20-10+5-...$

The first term of the series is,

$a_1=20$

The common ratio of this series is,

$r = \frac{ - 10}{20}$

This simplifies to,

$r = - \frac{1}{2}$

The sum to infinity of this sequence is given by the formula,

$S_ \infty = \frac{a_1}{1-r}$

We substitute the above values into the formula to obtain,

$S_ \infty = \frac{20}{1- - \frac{1}{2} }$

This simplifies to,

$S_ \infty = \frac{20}{1 + \frac{1}{2} }$

We simplify the denominator to get,

$S_ \infty = \frac{20}{ \frac{3}{2} }$

This will finally give us,

$S_ \infty =20 \times \frac{2}{3}$

$S_ \infty = \frac{40}{3}$

The correct answer is A.

5 0

3 years ago

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Solve the inequality 4x+3<3x+6

Sveta_85 [38]

Answer:

x<3

Step-by-step explanation:

Move all terms containing

x

to the left side of the inequality.

Tap for more steps...

x

+

3

<

6

Move all terms not containing

x

to the right side of the inequality.

Tap for more steps...

x

<

3

The result can be shown in multiple forms.

Inequality Form:

x

<

3

Interval Notation:

(

−

∞

,

3

)

7 0

3 years ago

On his way to work, a man notices that 9 of the 16 traffic lights are green. Is there statistical significance to say that these

olasank [31]

Yes because the results are unlikely to occur by chance, is what I think .

6 0

3 years ago

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8y-2d=0 5y+4d=26 1/4

Anit [1.1K]

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d = 105/4 ------------------(II)

(I)*2 16y - 4d = 0

(II) <u>5y + 4d = 105/4</u> {add (I) &(II)}

21y = 105/4

$y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1$

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

-2d = -8

d = -8/-2

d = 4

7 0

2 years ago

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Find the value of x <br> if necessary, you may learn what The markings on a figure indicate

Anvisha [2.4K]

Answer:

68°is the value of x. hope this helps

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2 years ago

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