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2 years ago

What is the solution to this inequality?

Mathematics

1 answer:

Evgen [1.6K]2 years ago

6 0

Answer:

Answer: x<7.1

Step-by-step explanation:

${ \tt{4.7 > x - 2 \frac{2}{5} }} \\ \\ { \tt{4.7 > x - \frac{12}{5} }} \\ \\ { \tt{x < 4.7 + \frac{12}{5} }} \\ \\ { \boxed{ \tt{x < 7.1}}}$

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An air plane travels at a constant speed of 575 miles per hour. Write and equation that can be used to detrmine the number of mi

cluponka [151]

miles divided by hours and there is your answer

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3 years ago

Solve the Equations

Vikentia [17]

Answer:

1) -2.13

2) 2.57

3) 33

Step-by-step explanation:

3(8 + 5h) = -28 Distribute the 3

24 + 15h = -28 Subtract 24 from both sides of the equation

15h = -32 Divide both sides by 15 and round

h = - 2.13

19 = 7(3n - 5) Distribute the 7

19 = 21n - 35 Add 35 to both sides of the equation

54 = 21n Divide both sides of the equation by 21

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1 year ago

Solve the inequality

Lana71 [14]

3x-12>15
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7 0

3 years ago

What two rational expressions sum to 3x+4/x^2-6x+5?

Lubov Fominskaja [6]

Answer:

$\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}$

Step-by-step explanation:

The given rational expression is:

$\frac{3x+4}{x^{2}-6x+5} = \frac{3x+4}{(x-1)(x-5)}$

We can use concept of Partial Fractions to solve this problem. Let,

$\frac{3x+4}{(x-1)(x-5)}=\frac{A}{x-1} +\frac{B}{x-5}$

Multiplying both sides by (x - 1)(x - 5), we get:

$3x+4=A(x-5)+B(x-1)$

Substituting x = 5, we get:

$3(5)+4=A(5-5)+B(5-1)\\\\ 15+4=0+4B\\\\ 19=4B\\\\ B=\frac{19}{4}$

Substituting x = 1, we get:

$3(1)+4=A(1-5)+B(1-1)\\\\ 7=-4A\\\\ A=-\frac{7}{4}$

Substituting the value of A and B, back in the original equation, we get:

$\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}$

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2 years ago

Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

galben [10]

Wouldnt it be 4 2/4 feet tall?

3 0

3 years ago