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4 years ago

Any number that is divisible by 2 is also divisible by 6. Find a counterexample to show that the conjecture is false. 24 14

Mathematics

2 answers:

sdas [7]4 years ago

7 0

200 wpould be the best answer is divisible bye 2 but not 6

Elina [12.6K]4 years ago

4 0

This example is false because 10 and 14 are not divisible by 6.

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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 40 pounds each, and the small boxes

denis23 [38]

Large box 70, small 55
x+y=125
40x+20y=3900
y=125-x
40x+20(125-x)=3900
40x+2500-20x=3900
20x=1400
x=70
125-70=y
y=55

4 0

3 years ago

Hello, help me please)

AlladinOne [14]

Answer:

Given equation:

$10^{5x-2}=2^{8x-3}$

Take natural logs of both sides:

$\implies \ln 10^{5x-2}= \ln 2^{8x-3}$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies (5x-2)\ln 10=(8x-3) \ln 2$

Expand brackets:

$\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2$

Collect like terms:

$\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2$

Factor left sides:

$\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3$

$\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay$

$\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)$

Simplify:

$\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)$

$\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}$

$\implies x=0.4232297737...$

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2 years ago

Could someone give me a hand

Minchanka [31]

The answer is thirty two

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3 years ago

You want to buy some clothing from an online retailer. The shirts cost $9 each and the

alisha [4.7K]

The answer is $73

Explanation:

since you are buying five shirts for nine dollars each you would need to do 5x9 which equals 45. Now you need to do 12x2 since you bought two pairs of pants for twelve dollars each. 12x2 equals 24. Now you need to add 24 and 45 to see what your price is. 24+45=69. Now add on four dollars for shipping and handling and you will have $73 dollars. Hope this helps!

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4 years ago

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jeka57 [31]

Answer:

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3 years ago