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4 years ago

Can someone explain this please?

Mathematics

1 answer:

Greeley [361]4 years ago

3 0

$\left( 8 \times 10^{-5}\right)\cdot \left( 5 \times 10^{-6}\right)\\ \\ =\left( 8 \times 5\right)\cdot \left( 10^{-5} \times 10^{-6}\right)$

1) first do the integer part $\left( 8 \times 5\right)=40$

2) then do the exponent part $\left( 10^{-5} \times 10^{-6}\right)$ = ???

3) Once you do the first two steps... adjust your answer to scientific notation...

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At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num

horrorfan [7]

in the equation as we can say x= 2y-10.

so, substitute x=2y-10 everywhere then the x in 1240 gets cancelled with 2y-10 then solve the remaining you will get 4y-20+3y=1240

7y=1260

y=1260/7

y=180

then substitute the value of y everywhere

2x+3y=1240

2x+3(180)=1240

2x=1240-540

2x=700

x=350

DONE.

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Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jacki

Ksju [112]

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88$

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08$

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