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3 years ago

15

What is the simplify answer of 5/6+3/4+2/3 write as mixed number, if possible.

2 answers:

o-na [289]3 years ago

5 0

Answer:

5/6=10/12

3/4=9/12

2/3=8/12

<u>2</u><u>7</u> = 2 1/4

12

Yuki888 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Fractions need a common denominator before being added together.

5/6 = 10/12

3/4 = 9/12

2/3 = 8/12

The sum is 27/12 = 2 3/12 = 2¼

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The air pressure inside Jason’s bike tires decreases by about 6% each week. The original pressure was 45 pounds per square inch

Brrunno [24]

Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.

So:
a) $p=45(1-0.06)^t=45*0.94^t$
Where t is the number of weeks.

We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 = 31psi

5 0

3 years ago

Please help. Write as a single logarithm, a) log(13)+log(4) b) log(small 5)(14)-log(small 5)(2)

dsp73

Answer:

a) $\log 52$

b) $\log_57$

Step-by-step explanation:

Use logarithm properties:

$\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}$

Then

a) $\log 13+\log 4=\log 13\cdot 4=\log 52$

b) $\log_514-\log _52=\log _5\dfrac{14}{2}=\log _57$

7 0

4 years ago

Use the change of base formula to approximate the solution to log0.515 = 1 – 2x. Round to the nearest hundredth.

schepotkina [342]

Answer:

-2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the general indefinite integral. (use c for the constant of integration. )

Vlada [557]

The indefinite integral will be $\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)$

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

[Integrals] Rewrite [Integration Property - Multiplied Constant]:

$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

[Integrals] Reverse Power Rule:

$\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C$

Simplify:

$\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

So the indefinite integral will be $\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

To know more about indefinite integral follow

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7 0

2 years ago

Write the word sentence as an equation.

Mrrafil [7]

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

3 0

3 years ago