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ICE Princess25 [194]
3 years ago
11

I wasn't in class so I need help solving the inequality 7/10n+14<49

Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

n<50

Step-by-step explanation:

7/2*5n + 14<49

7n/2*5+14<49

(7n)+(2*5)14/2*5 <49

7n+10*14/2*5 <49

7n+140/2*5 <49

7n+140/10 <49

7n+140 < 10*49

7n+140 < 490

(7n+140)+(-140)<490+(-140)

7n+140-140<490-140

7n<350

7n/7 < 350/7

n<2*5^2*7/7

n<2*5^2

n<2*25

n<50

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Solve for x: 14-14x^1/3 =2
zmey [24]

Answer: 216/343 or 0.6297

Step-by-step explanation:

14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x

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3 years ago
a rectangle has a length if x + 7 centimeters. The perimeter of the rectangle is 23 centimeter. What is the value of x
Tems11 [23]

23 = 14 + 2x
reasoning \: for \: each \: term \: in \: the  \\ \: above \: equation\\  \\ p = 23 \\  14 = 7 \times 2 \\ 2x = 2 \times x
\:  \:  \:  \:  \: 23 - 14 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 14 + 2x - 14 \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  9 = 2x
\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 9  \div 2 \:  \:  \:  \:  \:  \:  \:  \:  \: 2x \div 2 \\  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 4.5 = x
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koban [17]
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Oduvanchick [21]

Answer:

x = 19

Step-by-step explanation:

Vertical angles are equal

So

7x - 8 = 6x + 11

7x - 6x = 11 + 8

x = 19

7 0
3 years ago
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