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notsponge [240]
2 years ago
13

-1/5-(-3/8)=? I need a step by step to solve this equation

Mathematics
1 answer:
irakobra [83]2 years ago
3 0

Answer:

7/40

Step-by-step explanation:

Simplify the following:

-1/5 + 3/8

Hint: | Put the fractions in -1/5 + 3/8 over a common denominator.

Put -1/5 + 3/8 over the common denominator 40. -1/5 + 3/8 = (-8)/40 + (5×3)/40:

(-8)/40 + (5×3)/40

Hint: | Multiply 5 and 3 together.

5×3 = 15:

(-8)/40 + 15/40

Hint: | Subtract the fractions over a common denominator to a single fraction.

-8/40 + 15/40 = (-8 + 15)/40:

(-8 + 15)/40

Hint: | Subtract 8 from 15.

-8 + 15 = 7:

Answer:  7/40

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4tantheta/12-tan^2=1
egoroff_w [7]
4tan \theta = 12 - tan^{2} \theta
tan^{2} \theta + 4tan \theta - 12 = 0

Let x = tan \theta
x^{2} + 4x - 12 = 0
(x + 6)(x - 2) = 0
x = -6, x = 2

tan \theta = -6, tan \theta = 2

Since they both work, then we can write the solutions in general form:
\theta = n \pi + tan^{-1}(2), n \in Z
\theta = n \pi - tan^{-1}(6), n \in Z

Now, these solutions will always satisfy the equation and substituting a whole number in place of n will produce a solution that satisfies the given equation.
8 0
2 years ago
Which number line shows the solution to this inequality??<br><br> Pls help it’s very easy !!
AURORKA [14]
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2 years ago
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Solve the absolute value equation. |9x-3|=12
Alex

Answer:

9 ×3 = 27 .......

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7 0
3 years ago
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What is 302.135 rounded to the nearest tenth?<br> A. 300<br> B. 302.1<br> C. 302.14<br> D. 302.2
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The answer is B because numbers 0-4 round down and numbers 5-9 round up
8 0
3 years ago
List the single-digit divisors of 2100.<br> I really need help
liberstina [14]

Answer:

  • 1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

<u>Prime factors of 2100 are:</u>

  • 2100 = 2*2*3*5*5*7

<u>The single-digit divisors are:</u>

  • 1, 2, 3, 2*2= 4, 5, 2*3= 6, 7

-----------------------------------------------------------------

<u>Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:</u>

  • 2100/1 = 2100, yes
  • 2100/2 = 1050, yes
  • 2100/3 = 700, yes
  • 2100/4 = 525, yes
  • 2100/5 = 420, yes
  • 2100/6 = 350, yes
  • 2100/7 = 300, yes
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  • 2100/9 = 233.33, no

So all the numbers from 1 to 7

5 0
3 years ago
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