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4 years ago

5.3 times 10.4 is??? (Show work)

Mathematics

2 answers:

lora16 [44]4 years ago

8 0

Answer:

= 55.12

Solution:

There's 2 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

Rewrite the product with 2 total decimal places.

Answer = 55.12

Therefore:

5.3 × 10.4 = 55.12

ololo11 [35]4 years ago

7 0

Answer:

do the work on your calculator to double check yourself :)

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<img src="https://tex.z-dn.net/?f=x%5Ea%3Dy%5Eb%3Dz%5Ec%20%5C%5Cxyz%3D1%5C%5Cab%2Bbc%2Bca%3D%3F" id="TexFormula1" title="x^a=y^b

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ab+bc+ca=0

Step-by-step explanation:

We are given:

$x^a=y^b=z^c$

xyz=1

Separating equations:

$x^a=z^c$

$y^b=z^c$

Solving the first equation for x:

$\displaystyle x=z^\frac{c}{a}$

Solving the second equation for y:

$\displaystyle y=z^\frac{c}{b}$

Substituting in

xyz=1:

$\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1$

Adding the exponents:

$\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1$

Since $1=z^0$ :

$\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0$

The base is z on both sides so we get rid of them:

$\displaystyle \frac{c}{a}+\frac{c}{b}+1=0$

Multiplying by ab:

bc+ac+ab=0

Reordering:

ab+bc+ca=0

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