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jasenka [17]
3 years ago
10

-3x+5>17 what is the value of x in the set of inequality

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

x < -4

Step-by-step explanation:

-3x + 5 > 17

17 - 5 = 12

-3 x 4 = -12 (wrong)

-3 x -4 = 12 (correct)

12 + 5 > 17( wrong)

something less than a negative four

when you multiply or divide a negative to get a specific amount of number for the variable you have to flip the symbol.

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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
    What is the area of the moon?
nataly862011 [7]

The moon is roughly a sphere, with an average radius of 1,738 kilometers.

The area of a sphere is      4 pi R² .

Area of the moon  =  (4 pi) (1,738 km)² =

                                 (12.566) (3,020,644 km²)  =  3.796 x 10⁷ km²

3 0
3 years ago
If x=-3, then the solution of the equation 2x+6 is ?
Vlada [557]

Hello!

if x = -3, just substitute it for x (replace the x with -3)

2(-3) + 6 = 0

2 * -3 = -6

-6 + 6 = 0

I hope this helps, and have a nice day!

6 0
3 years ago
Complete two ratios to describe the model. 4 dark blue triangles and 12 light blue triangles. The ratio of light blue triangles
____ [38]

Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

5 0
3 years ago
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scoray [572]

Answer:

Slope: 4

Step-by-step explanation:

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