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3 years ago

Which is greater -1.24 or -1 and 3/10

Mathematics

1 answer:

rewona [7]3 years ago

5 0

The ACTUAL answer is -1.24. -1 3/10 as a decimal is -1.30. Since -1.24 is closer to zero, it’s greater.

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Use Gauss's approach to find the following sum (do not use formulas):5+11+17+23...+83

LUCKY_DIMON [66]

Denote the sum by S. So

S = 5 + 11 + 17 + 23 + ... + 83

There's a constant difference of 6 between consecutive terms in S, so the 3 terms before 83 are 77, 71, and 65. So

S = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83

Gauss's approach involves inverting the sum:

S = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5

If we add terms in the same position in the sums, we get

2S = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)

and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies n of 88, which means

2S = 88n

and dividing both sides by 2 gives

S = 44n

Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern

11 = 5 + 6

17 = 5 + 2*6

23 = 5 + 3*6

and so on, up to

83 = 5 + 13*6

so n = 13, which means the sum is S = 44*13 = 572.

8 0

3 years ago

You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. Whe

Snowcat [4.5K]

You have to watch 30 movies to earn a free movie pass.

Step-by-step explanation:

Given,

Points earned for each movie = 2 points

Current points = 40 points

Free movie pass = 100 points

Let,

x be the number of movies you have to watch.

2*number of movies + current points = 100

$2x+40=100$

Subtracting 40 from both sides

$2x+40-40=100-40\\2x=60$

Dividing both sides by 2

$\frac{2x}{2}=\frac{60}{2}\\x=30$

You have to watch 30 movies to earn a free movie pass.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

5 0

3 years ago

I think of a number, I subtract 10 and add 2 . My answer is 20, What was my number

Alina [70]

Answer:

Step-by-step explanation:

x-10+2=20

add -10 and 2 together to simplify the equation

x-8=20

add 8 to both sides to isolate x

x=28

hope this helped!

4 0

3 years ago

When graphing inequalities on the number line, which of the following statements are true? Select all that apply.

Softa [21]

Answer:

The correct options are;

1) "Greater/Less than or equal to" means the circle on the number will be SOLID

2)"Greater/Less than" means the circle on the number will be open

3) If It is "greater than", the line will be colored to the RIGHT of the number & if it is "less than", the line will be colored to the LEFT of the number line

Step-by-step explanation:

When a linear inequality is graphed on a number line, and the value of the inequality is "less than" or "greater than" the limit displayed on the number line, the limit of the inequality is indicated by an open

When the the limiting value of the inequality is specified as "less than or equal to" or "greater than or equal to" the value displayed on the number line as a SOLID circle.

The region where the inequality is valued on the number line is the colored region.

5 0

3 years ago

Consider the equation below .

Fudgin [204]

By using change base formula which is :
log x to the base b = (log x)/(log b) to a new base

∴ log₄(x+3) = log (x+3) / log 4
and
log₂(2+x) = log (2+x) / log 2

∴ the correct answer is number one

See the attached figure.

3 0

3 years ago