PLEASE SHOW THE STEPS TO ALL THE QUESTIONS FOR 20 POINTS!

Mathematics

1 answer:

alexandr402 [8]3 years ago

6 0

2y-7>15
2y> 15+7
2Y > 22
2Y/2>22/2
y > 11
put any number below 11 in the left side it will be less then 15

2x-5> 1
2x > 1 +5
2x > 6
2x/2 > 6/2
x > = 3
put 3 instead of x in the left side it will be equal to the right side or put anything less then 3 then the left side will be less then 1

2x+5>1
2x > 1-5
2x > -4
2x/2>-4/2

x> -2

put -2 instead of x it will be equal to the right side anything less then -2 then it will be less the the right side

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Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

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3 years ago

What is the average of all the integers from 17 to 55?

natulia [17]

The average would be 36

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3 years ago

The measure of an interior angle of a regular polygon is 140°140°. find the number of sides of the polygon.

MA_775_DIABLO [31]

$\alpha = \cfrac{180(n-2)}{n} \ \ \ \ \ [ \alpha =interior \ angle, \ \ n=number \ of 
 \ sides] \\ \\ \\ 140 = \cfrac{180(n-2)}{n} \\ \\ 140n = 180(n-2) \\ \\ 140n=180n-360 \\ \\ 40n=360 \\ \\ n= \frac{360}{40}=9 \ \ sides$