2 years ago

How do you write the sum of 18 + 36 as the product of the GCF and another sum?

Mathematics

1 answer:

Naya [18.7K]2 years ago

4 0

A possible answer to this would be 6 (3 + 6)

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What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2

Klio2033 [76]

Answer: $\log\dfrac{x^2z^2}{y}$

Step-by-step explanation:

Properties of logarithm:

$(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}$

Consider,

$2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]$

3 0

2 years ago

Gavin invests $5,000 in a savings account that pays 3.75% simple interest. How much will be in the account after 6 years if Gavi

ivolga24 [154]

Answer:

$6261.62

Step-by-step explanation:

A=Pe^rt forumla

A=5000e^0.0375(6)=6261.612633

I rounded e to 2.71828 for calculator reasons

and I rounded the number two places since it is a monetary value.

I tried hope it helps!!!

8 0

2 years ago

Solve: 3x−5 = 9. A. x = −3 B.x = 2 C.x = 7 D.x = 8

Alina [70]

Answer:

Step-by-step explanation:

$3x-5=9$

$3x-5+5=9+5$

$3x=14$

$\frac{3x}{3}=\frac{14}{3}$

$x=\frac{14}{3}$

x ≈ 4.66667

4 0

2 years ago

Read 2 more answers

What type of angles are <5 and <6?

Kisachek [45]

Answer:

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

4 0

2 years ago

Read 2 more answers

The marked price of a radio set is 450000. A discount of 5% of the marked price is allowed. What is the selling price of the rad

dybincka [34]

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

$\frac{5\times450000}{100} =5\times450000=2250000\div100=22500$
$450000-22500=427500$
$r=427500$

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

6 0

2 years ago