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o-na [289]
3 years ago
9

Diffrence of partial products and regrouping

Mathematics
1 answer:
Alex3 years ago
8 0
Partial products is breaking down every number in multiplication and adding them. Regrouping is grouping number them adding them. They are different because one is taking all the numbers broken down, while the other is just a couple of the number.
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 The denominator of a fraction in simplest form is greater than the numerator by 3. If 7 is added to the numerator, and 5 added
jok3333 [9.3K]
So.. if we take the numerator to be say "a", then the denominator will be "a+3"

\bf \cfrac{a}{a+3}\textit{ if we add }\frac{1}{2}\textit{ we get then }\cfrac{a+7}{a+3+5}
\\\\\\
thus\implies \cfrac{a}{a+3}+\cfrac{1}{2}=\cfrac{a+7}{a+8}\\\\
-----------------------------\\\\
\cfrac{a+3+2a}{2(a+3)}=\cfrac{a+7}{a+8}\implies \cfrac{3a+3}{2a+6}=\cfrac{a+7}{a+8}
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3a^2+24a+3a+24=2a^2+14a+6a+42
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a^2+7a-18=0\implies (a+9)(a-2)=0
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a=
\begin{cases}
2\implies &\frac{2}{5}\\\\
-9\implies &\frac{3}{2}
\end{cases}

either of those two fractions will do
4 0
3 years ago
Evaluate the numerical expression 10 + 36 ÷9
Molodets [167]
36 / 9 equals 4 so the problem is basically 10 + 4 which is 14.
6 0
3 years ago
Read 2 more answers
Solve for .6u+7u-16=-81<br> Simplify your answer as much as possible.
Vesnalui [34]

Answer:

6u+7u-16=-81

We simplify the equation to the form, which is simple to understand

6u+7u-16=-81

We move all terms containing u to the left and all other terms to the right.

+6u+7u=-81+16

We simplify left and right side of the equation.

+13u=-65

We divide both sides of the equation by 13 to get u.

u=-5

Step-by-step explanation:

I think i did it correct

7 0
3 years ago
Read 2 more answers
The annual energy consumption of the town where Camilla lives in creases at a rate that is onal at any time to the energy consum
boyakko [2]

Answer:

6.575 trillion BTUs

Step-by-step explanation:

<em>Let represent the annual energy consumption of the town as E</em>

<em>The rate of annual energy consumption *  energy consumption at time past</em>

<em>dE/dt * E</em>

<em>dE/dt =K</em>

<em>k = the proportionality constant</em>

<em>c= the integration constant</em>

<em>(dE/dt=) kdt</em>

<em>lnE = kt + c</em>

<em>E(t) = e^kt+c ⇒ e^c e^kt  e^c is a constant, and e^c = E₀</em>

<em>E(t) = E₀ e^kt</em>

<em>The initial consumption of energy is E(0)=4.4TBTU</em>

<em>set t = 0 then</em>

<em>4.4 = E₀ e⇒ E₀ (1) </em>

<em>E₀ = 4.4</em>

<em>E (t) = 4.4e^kt</em>

<em>The consumption after 5 years is t = 5, e(5) = 5.5TBTU</em>

<em>so,</em>

<em>E(5) = 5.5 = 4.4e^k(5)</em>

<em>e^5k = 5/4</em>

<em>We now take the log 5kln = ln(5/4)</em>

<em>5k(1) = ln(5/4)</em>

<em>k = 1/5 ln(5/4) = 0.04463</em>

<em>We find  the town's annual energy consumption, after 9 years</em>

<em>we set t=9  </em>

<em>E(9) = 4.4e^0.04463(9)</em>

<em>= 4.4(1.494301) = 6.5749TBTUs</em>

<em>Therefore the annual energy consumption of the town after 9 years is </em>

<em>= 6.575 trillion BTUs</em>

<em />

3 0
3 years ago
I AM GIVING 25 POINTS AND BRAILIEST PLZ HELP
Slav-nsk [51]

Answer: 2 to seventy second power . 5 to tenth power  l hope this heIps :)

Step-by-step explanation:

4 0
2 years ago
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