5(3x+4)=15x+20 Is this associative,commutative,identity,Or a distributive property?

1 answer:

4 0

$\bold{Hey\ there!} \\ \bold{\ Assoviative \ property\ looks\ looks\ like\ this:(2+3)+4;2+(3+4)}\\ \bold{\ Commutative\ property\ looks\ like\ this:b+c;c+b} \\ \bold{\ Distributive\ property\ looks\ like\ this:a(b+c);a(b)+a(c)}\\ \bold{5(3x+4)=15x+20}\\ \\ \bold{5(3x))=15x} \\ \bold{5(4)=20} \\ \\ \bold{Answer:distributive\ property}\checkmark$

$\bold{Reason:\ because\ it\ almost\ similar\ to\ the\ example\ shown\ above\ as\ to\ how\ solve\ it!} \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\\frak{LoveYourselfFirst:)}$

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A road crew can pave 2/5 km in 1 1/2 hours.how many km of road can they pave in 10 hours?

andrey2020 [161]

Answer:

8/3 km

Step-by-step explanation:

we can represent the given information on a table:

Kilometers time (hours)

2/5 ⇔ 1 1/2

and since we want to know how many kilometers (x) will be paved on 10 hours:

Kilometers time (hours)

2/5 ⇔ 1 1/2

x ⇔ 10

The relationship these 3 numbers have can be described by using the rule of three, which is to multiply the cross quantities on the table (2/5 by 10) and then divide by the remaining amount (1 1/2):

x = $\frac{2}{5}*10$ ÷ $1\frac{1}{2}$

x = $\frac{20}{5}$ ÷ $1\frac{1}{2}$

we use $1\frac{1}{2}=\frac{3}{2}$

x = $\frac{20}{5}$ ÷ $\frac{3}{2}$

and we make the division:

x = $\frac{20}{5}$ ÷ $\frac{3}{2}$ = $\frac{20*2}{5*3}=\frac{40}{15}$

we simplify the fraction by dividing the numerator and denominator both by 5, and we get the result:

x = $\frac{8}{3}$

thus, in 10 hours the crew will pave 8/3 km. Which is about 2.66 km.

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x=y+6
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x=8
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