The sum of two numbers is 148. The larger number is two less than three times the smaller. What are the two numbers?

Mathematics

2 answers:

zhuklara [117]3 years ago

6 0

<h2>the larger number equals 110.5</h2><h2>the smaller number equals 37.5</h2>

Lyrx [107]3 years ago

4 0

Let
x---------> the larger number
y---------> the smaller number

we know that
x+y=148------> equation 1
x=3y-2------> equation 2

substitute 2 in 1
[3y-2]+y=148--------> 4y=150---------> y=150/4------> y=37.5
x=3y-2----> x=3*37.5-2-----> x=110.5

the answer is
the larger number is 110.5
the smaller number is 37.5

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Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5. In two or more complete sentences, explain each step in your calculations.Inc

poizon [28]

we know that

Quotient is the number resulting from the division of one quantity by another

Let

x--------> the first quantity

y------> the second quantity

q------> the quotient

$q=\frac{x}{y}$ -------> equation 1

in this problem

$x=4.13*10^{-8} \\ y= 0.04*10^{5}$

Substitute the values in the equation 1

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}$

Simplify

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}$