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2 years ago

How do you solve equation with like terms if it has a fraction

1 answer:

3 0

Answer:Solve equations by clearing the Denominators Find the least common denominator of all the fractions in the equation. Multiply both sides of the equation by that LCD. This clears the fractions.

Step-by-step explanation:Solve equations by clearing the Denominators Find the least common denominator of all the fractions in the equation. Multiply both sides of the equation by that LCD. This clears the fractions.

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Help me please, the question is in the picture^^^!

Nat2105 [25]

Answer:

79.3

Step-by-step explanation:

2,037,634= 100 percent

1,614,840=x

x=1,614,840×100÷2,037,634

x=79.25

7 0

3 years ago

Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t

SCORPION-xisa [38]

Answer:

a) 28,662 cm² max error

0,0111 relative error

b) 102,692 cm³ max error

0,004 relative error

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL = 2*π* dr ⇒ dr = 0,5 / 2*π

dr = 1/4π

The equation for the volume of the sphere is

V(s) = 4/3*π*r³ and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90

Then

dS(s) = 4*90 (1/4*π)

dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s) = (90/π) / 4*π*r²

DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) = 4*π*r² dr

Maximum error

DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²

DV(s) = 102,692 cm³ max error

Relative error

DV´(v) = (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) = 0,004

3 0

3 years ago

Read 2 more answers

Sam has 30 baseball cards. 12 of the cards are from League A. What is the ratio of League A cards to the total number of cards?

natulia [17]

Answer:

Not simplified: 12:30

Simplified: 1:5

Step-by-step explanation:

We have 12 League A cards and 30 total.

So, 12:30.

But we can divide by 6 and reduce it to its simplest form:

1:5

7 0

2 years ago

Three to the power of three minus seven plus ten

BARSIC [14]

Answer:

Step-by-step explanation:

You’re correct

6 0

3 years ago

Read 2 more answers

The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. A) Use differentials to estimate the max

siniylev [52]

Answer:

A) The maximum error in the calculated surface area: $25cm^2$

Relative error: $0.013$

B) The maximum error in the calculated volume: $162cm^2$

Relative error: $0.019$

Step-by-step explanation:

A) The formula for the surface area is:

$A=4\pi r^2$

The measured value is the circumference which is equal to:

$C=2\pi r$

then the radius is:

$r=\frac{C}{2\pi}$

Substituting in the formula of the surface:

$A=4\pi(\frac{C}{2\pi})^2\\A=4\pi(\frac{C^2}{4\pi^2})\\A=\frac{C^2}{\pi}$

Using the formula to calculate the error:

$dy=f'(x)dx$

Where $x$ is the variable measured and $y$ is a function of $x$ ( $y=f(x)$ ).

$dA=f'(C)dC\\dA=\frac{2C^{(2-1)}}{\pi}dC\\dA=\frac{2C}{\pi}dC$

We have C=80cm and dC=0.5cm

$dA=\frac{2C}{\pi}dC\\dA=\frac{2(80)}{\pi}(0.5)\\dA=\frac{160}{\pi}(0.5)\\dA=50.9296(0.5)\\dA=25.4648\approx25cm^2$

The relative error is the maximum error divide by the total area. The total area is: $A=\frac{C^2}{\pi}=\frac{(80)^2}{\pi}=\frac{6400}{\pi}=2037.1833cm^2$

$\frac{dA}{A}=\frac{25.4648}{2037.1833} =0.0125\approx0.013$

B) The formula for the volume is:

$V=\frac{4}{3} \pi r^3$

Using $r=\frac{C}{2\pi}$

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (\frac{C}{2\pi})^3\\V=\frac{4}{3} \pi (\frac{C^3}{8\pi^3})\\V=\frac{1}{3}(\frac{C^3}{2\pi^2})\\V=\frac{C^3}{6\pi^2}$

The maximum error is:

$dV=\frac{3C^{3-1}}{6\pi^2}dC\\dV=\frac{C^{2}}{2\pi^2}dC\\dV=\frac{(80)^{2}}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=(324.2278)(0.5)\\dV=162.1139\approx162cm^2$

The calculated volume is:

$V=\frac{C^3}{6\pi^2}\\V=\frac{(80)^3}{6\pi^2}\\V=\frac{512000}{6\pi^2}\\V=8646.0743$

The relative error is:

$\frac{dV}{V}=\frac{162.1139}{8646.0743}=0.0188\approx0.019$

3 0

3 years ago

How do you solve equation with like terms if it has a fraction ​

How do you solve equation with like terms if it has a fraction