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3 years ago

How to solve y=2x-10 and 6x+7y=10 using substitution

Mathematics

1 answer:

mr_godi [17]3 years ago

5 0

Answer:

x=4

Step-by-step explanation:

y=2x-10 and 6x+7y=10

6x+7(2x-10)=10

6x+14x-70=10

20x=80

x=4

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Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Fed [463]

Answer:

$\large \boxed{\text{0.0462 min}^{-1}}$

Step-by-step explanation:

One formula for the reproduction of bacteria is

$\dfrac{N}{N_{0}} = e^{kt}$

Data:

N = 2

N₀ = 1

t = 15 min

Calculation:

$\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}$

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4 years ago

Fill in the numbers to find a Sum

Alekssandra [29.7K]

Answer:

The numbers are -15 and 100

$\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}$

Step-by-step explanation:

we have

$\frac{2}{10} +\frac{x}{100} =\frac{5}{y}$

Solve the left side

$\frac{2}{10} +\frac{x}{100} =\frac{20+x}{100}$

$\frac{20+x}{100}=\frac{5}{y}$

equate the numerators and the denominators

20+x=5 ------> x=5-20=-15

100=y -------> y=5

therefore

The numbers are -15 and 100

$\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}$

4 0

4 years ago

Which shows another way to write 64?

Taya2010 [7]

None of those show another way to 64

6*6*6*6=1296

4*4*4*4*4*4=4096

6+6+6+6=24

6*4=24

Another way to show 64 is 8*8 or 4^3

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4 years ago

Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she s

Sav [38]

Answer:

fjfjfjfjfjfj

Step-by-step explanation:

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4 years ago

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What is down payment with regard to buying a house?

Lyrx [107]

<span>The down payment is an initial payment made when something is bought on credit.

It usually depends on the type of house or any other other form of object.</span>

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3 years ago