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2 years ago

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Select the TWO systems of equations that have exactly one solution. Your answer: y = 3x + 1 y = -3x + 7 y = 3x + 1 y = x + 1 y =

3x + 1 y = 3x + 7 x + y = 10 2x + 2y = 20 x + y = 10 x + y = 20

1 answer:

mrs_skeptik [129]2 years ago

4 0

Answer:

6657567657678678678657768666876

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William bought 16 gallons of gas for $37.76. Regina spent $14.64 on 6 gallons of gas. Who got a better deal per gallon?

nadya68 [22]

1 gallon of gas for William= 37.76 ÷ 16= 2.36 $

1 gallon of gas for Regina= 14.64 ÷ 6= 2.44 $

so william got a better deal per gallon.

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2 years ago

what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

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Sav [38]

We will have the following:

*First: We determine the translation rule:

We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

$(x,y)\to(x-3,x-1)$

Second: We apply the translation rule to the other point to determine it's image, that is:

$(8,7)\to(8-3,7-1)\to(5,6)$

So, the image of the second point is (5, 6).

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1 year ago

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Tanya [424]

To convert a decimal to a percent simply just move the decimal point two places to the right and add the percent sign;
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Answer:

B and D are the correct answers.

Step-by-step explanation:

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