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makkiz [27]
3 years ago
6

Simplify by combining like terms 4s + 1/6s + 2 3/5s

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
<h3>The solution by combining like terms is 6.7667</h3>

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

4s + \frac{1}{6}s + 2\frac{3}{5}s

We have to simplify by combining the like terms

From given,

4s + \frac{1}{6}s + 2\frac{3}{5}s

Convert the mixed fraction to improper fraction

4s + \frac{1}{6}s + \frac{13}{5}s

Make the denominator same

\frac{4s \times 30 }{30} + \frac{1s \times 5}{6 \times 5} + \frac{13s \times 6}{5 \times 6}\\\\\frac{120s}{30} + \frac{5s}{30} + \frac{78s}{30}\\\\\frac{203}{30} = 6.7667

Thus the solution is 6.7667

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What is the answer if <br> Increase 12% by 30%
mrs_skeptik [129]

Answer:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

30% = 30/100 = 30 ÷ 100 = 0.3.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 30% of its value.

Calculate the New Value

New value =

12 + Percentage increase =

12 + (30% × 12) =

12 + 30% × 12 =

(1 + 30%) × 12 =

(100% + 30%) × 12 =

130% × 12 =

130 ÷ 100 × 12 =

130 × 12 ÷ 100 =

1,560 ÷ 100 =

15.6

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 12 =

15.6 - 12 =

3.6

Step-by-step explanation:

please mark me brainliest!

hope this helps

3 0
2 years ago
Read 2 more answers
Solve the inequality:<br> 16 &lt; -2(x + 4)
Colt1911 [192]

Answer:

x < -12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

16 < -2(x + 4)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -2:                          16 < -2x - 8
  2. Add 8 to both sides:             24 < -2x
  3. Divide -2 on both sides:       -12 > x
  4. Rewrite:                                 x < -12

Here we see that any number <em>x</em> smaller than -12 would work as a solution to the inequality.

7 0
3 years ago
Which property justifies this statement?<br><br> If 4x=20, then x=5.
rjkz [21]
It's the division property of equality.
7 0
4 years ago
Fill in the missing values from the similar figures in the table
Tems11 [23]

Step-by-step explanation:

9 × 1/2 = 4.5

8 × 1/2 = 4

hope it's helpful

3 0
1 year ago
Find the area of the region between the curve y= 2ln(x) and the horizontal axis for 1&lt;= x &lt;= 4
marissa [1.9K]

Answer:

5.09 units

Step-by-step explanation:

Given equation

y=2\ln x=f(x) in the interval 1\le x\le 4

So we integrate y in the given interaval

\int f(x)=2\int\limits^4_1 {\ln x}dx

Let us integrate \ln x first.

let

u=\ln x, dv=dx

du=\dfrac{1}{x}, v=x

\int\ln x dx=udv

Using integration by parts we get

uv-\int vdu

=x\ln x-\int x\dfrac{1}{x}dx

=x\ln x-dx

=x\ln x-x+C

So here

\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units

The area of the the region between the curve and horizontal axis is 5.09 units.

5 0
3 years ago
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