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VladimirAG [237]

3 years ago

13

Andrea bought tacos from a food truck and left a 25\%25% tip of \$2.00$2.00. What was the price of Andrea's tacos, before tip? \

$ $

1 answer:

Liono4ka [1.6K]3 years ago

6 0

Answer:

Andrea paid $8 for tacos before tip.

Step-by-step explanation:

In order to find this, take the tip amount and divide by the tip percentage.

$2/25% = $8

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Factor 20r+60t to identify the equivalent expression

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Answer:

$\boxed{20(r + 3t)}$

Step-by-step explanation:

$20r + 60t$

Factor out 20 from the expression.

$20(r) + 20(3t)$

Take 20 as common.

$20(r + 3t)$

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A bus driver started her day with an empty bus. At her first stop she picked up

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Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

so

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

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