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2 years ago

show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF

Mathematics

1 answer:

Oliga [24]2 years ago

5 0

Answer:

HCF is 4

LCM is 336

Step-by-step explanation:

2/28 , 48

2/14 , 24

2/7 , 12

2/7 , 6

3/7 , 3

7/7 , 1

1 , 1

HCF is 2 × 2 =4

LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336

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A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal

mars1129 [50]

Answer:

$t=5.0days$

Step-by-step explanation:

Using the formula for the exponential decay that is $N=N_{0}e^{-kt}$ , we have N= $\frac{1}{2}{\times}46=23$ , $N_{0}=46$ and k=0.1374.

Thus, $N=N_{0}e^{-kt}$ becomes

$23=46{\times}e^{-0.1374t}$

$\frac{23}{46}=e^{-0.1374t}$

$\frac{1}{2}=e^{-0.1374t}$

Taking log on both sides, we get

$ln(\frac{1}{2})={-0.1374t}$

$t=\frac{ln\frac{1}{2}}{-0.1}$

$t=\frac{-0.6931}{-0.1374}$

$t=5.0days$

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2 years ago

Solve. 90<img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> = 27.

Irina-Kira [14]

Answer: $x$ ≈ $0.732$

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

$log(m)^n=nlog(m)$

Apply logarithm on both sides of the equation:

$90^x=27\\\\log(90)^x=log(27)$

Now, applying the property mentioned before, you can rewrite the equation in this form:

$xlog(90)=log(27)$

Finally, you can apply the Division property of equality, which states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

Therefore, you need to divide both sides of the equation by $log(90)$ . Finally, you get:

$\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}$

$x$ ≈ $0.732$

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3 years ago

Given the equation y=12x, x representing number of hours worked, y representing amount of money earned, how much would John earn

JulijaS [17]

9514 1404 393

Answer:

Step-by-step explanation:

Substitute 6 for x in the equation and do the arithmetic.

y = 12x

y = 12·6 = 72

John earns 72 money units in 6 hours.

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3 years ago

Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding. In a given week, she

romanna [79]

Answer:

she would need to work at least 13 hours lifeguarding to get to the 290 her with the of working an extra 3 hours

Step-by-step explanation:

subtract the 30 dollars from babysitting from the 290 needed you 260 then divide it by 20

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2 years ago

Find the amount of the discount on a $140 bicycle that is on sale for 30% off

andreev551 [17]

140x 0.3= 42
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2 years ago