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Ilia_Sergeevich [38]
3 years ago
13

Which sentence represents the inequality -2b + 7 > 27.5? Help PLEASE!

Mathematics
2 answers:
AVprozaik [17]3 years ago
7 0
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25

wel3 years ago
3 0

Answer:

The sentence that represents the inequality "-2b + 7 > 27.5" is "negative two times a number plus seven is greater than twenty-seven and five tenths"

Step-by-step explanation:

The goal of this exercise is to translate the inequality (in math language) to a colloquial statement.

Let's do the translation part by part.

The expression "2b" can be translated to "two times a number".

Then, the expression "-2b" can be translated to "negative two times a number".

The expression "-2b + 7", as we are adding 7 to the previous expression, can be translated to "negative two times a number plus 7".

The expression "-2b + 7 > ...", means that the expression at the left of the inequality is greater than the one at the right. Then, it can be translated as "negative two times a number plus 7 is greater than ...".

Finally, the expression "-2b + 7 > 27.5", can be translated as "negative two times a number plus seven is greater than twenty-seven and five tenths"

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Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio
Butoxors [25]

Answer:

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

18/5=x/100

Cross product

18*100=5*x

1800=5x

x=1800/5

x=360

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

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19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
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4.

a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  -20  | -17.5 |  -15  |-12.5|  -10  | -7.5 |

First term: -20     Common Difference: 2.5

Explicit Rule:  a_n=2.5n-22.5       Recursive Rule: a_1=-20,\ a_n=a_{n-1}+2.5

5.

a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  123  |  131   | 139 | 147  |  155  | 163 |

First term: 123      Common Difference: 8

Explicit Rule:  a_n=8n+115       Recursive Rule: a_1=20,\ a_n=a_{n-1}+8

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