MATHEMATICS HIGH SCHOOL

Solve the following inequality using the algebraic approach:5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4

Answers

Answer 1
Answer:

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

Given that, 5x-1<2x+11.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here, inequality 5x-1<2x+11 can be solved as follows

Add 1 on both the sides of inequality, we get

5x<2x+12

Subtract 2x on both the sides of inequality, we get

3x<12

Divide 3 on both the sides of inequality, we get

x<4

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

To learn more about the inequalities visit:

brainly.com/question/20383699.

#SPJ2
Answer 2
Answer:

Answer:

b. x less-than StartFraction 10 Over 3 End fraction

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Prove this (sinx-tanx)(cosx-cotx)=(sinx-1)(cosx-1)

Answers

(sinx−tanx)(cosx−cotx)

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Choose all the answers that apply.The endocrine system _____.

removes liquid waste and hormones from the blood
includes the pituitary gland and adrenal glands
regulates digestion and body temperature
works closely with the nervous system

Answers

Answer:

removes liquid waste and hormones from the blood and works closely with the nervous system.

Step-by-step explanation:

The nth term of a sequence is 10n – 8 .Find the 20th term and 50th term.

Answers

Answer:

192

492

Step-by-step explanation:

  • aₙ = 10n - 8
  • a₂₀ = 10*20 - 8 = 200 - 8 = 192
  • a₅₀ = 10*50 - 8 = 500 - 8 = 492

A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmers market?

Answers

Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

→ 6.5 x 3/4 = 4.875 kilograms

Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

→ 6.5 - 4.875 = 1.625 kilograms

Answer:

1.625 kg

Step-by-step explanation:

Total weight sold by the farmer =6.5 kilograms

If 3/4 of the weight is pears:

Weight proportion of apple=1-(3)/(4)= (1)/(4)

Therefore:

Weight of Apples sold at the market = (1)/(4) X 6.5 kg\n

=1.625 kg

The farmer sold 1.625 kilograms of apple.

What time is shown on the clock?

Answers

5:52

hope this helped :T

Answer:

im pretty sure its 5:52

Step-by-step explanation:

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Answers

The compound nickel (III) chloride dihydrate has two moles of water for every one mole of ionic compound.
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