apostos1

Odd Multiples of 7767 are 1, 3, 9, 863, 2589, 7767

\(6a^2+49a+108\) and \(2a+9\)

Lets do 1: 

\(6(1)^2+49(1)+108\)=163

\(2(1)+9\)=11

So GCF is 1

Lets do 3:

\(6(3)^2+49(3)+108\)=309

\(2(3)+9\)=15

So GCF is 3

Lets do 9:

\(6(9)^2+49(9)+108\)=1035

\(2(9)+9\)=27

So GCF is 9

I can go on with the remaining multiples, but I feel like I am not understanding the question.

f(1)=-1

\(y=-x^2\), and \(y=1\)

\(1=-x^2\), solve for x, \(x=-1\), check it fits piecewise, and it does.

therefore \(f(1)=-1\)

You can also graph the equations \(y=-x^2\) with \(x \geq0\)  and \(y=x+8\) with \(x<0\), go to where \(y=1\) and see what \(x\) is.

The sales tax rate is 5.5%. Find the tax paid for a coat that costs $60.

 A  $33.00

 B  $3.30

 C  $0.92

 D  $0.09

 $60 * 0.055 (divide by 100 to turn into decimal) = $3.30 tax paid

Choose an appropriate unit of measurement for the mass of a peanut.

 A kilogram

 B milligram

 C gram

 D kilometer

Jonah needs to purchase 30 juice packs for his class. While shopping, Jonah discovers the following prices for comparable juice packs. Which offers the best unit price?

 A 15 packs for $3.95

 B 5 packs for $2.20

 C 20 packs for $6.20

 D 10 packs for $3.20

3.95/15=0.26 per 1 pack (cheapest)

2.20/5=0.44 per 1 pack (most expensive)

6.20/20=0.31 per 1 pack

3.20/10=0.32 per 1 pack

Find the unit rate. Round to the nearest tenth, if necessary. 

344 miles in 11 hours

 A 344 miles/hour

 B 3784 miles/hour

 C 0.03 miles/hour

 D 31.27 miles/hour

344/11=31.3 

Use dimensional analysis to convert the measure.
447 cm = ? m

 A 4.47

 B 44.7

 C 44,700

 D 4,470

447cm to ? m

(divide by 100) since 1 cm = 0.01 m

 447cm/100=4.47 m

Coree can type 5,349 words in one hour. Convert this rate to words per minute.

 A 32,094 words per minute

 B 320,940 words per minute

 C 89.2 words per minute

 D 891.5 words per minute

5349/60 (60 minutes in one hour)= 89.15

Find the unit rate. Round to the nearest tenth, if necessary.

In 10 months, 62.6 gallons were used.

 A 6.3 gallons/month

 B 10 gallons/month

 C 0.16 gallons/month

 D 626 gallons/month

62.6/10=6.3 gallons/months

The price of 8.4 ounces of crackers is $2.42. What is the unit price? Round your answer to the nearest cent

 A $0.15 per ounce

 B $3.47 per ounce

 C $28.81 per ounce

 D $0.29 per ounce

 2.42/8.4=0.29 per ounce

If unsure what to divide, set up as proportion \(\frac{8.4 ounces}{$2.42}=\frac{1 ounces}{$x}\)cross multiply, 8.4x=2.42, divide both sides by 8.4,  2.42/8.4=$0.29 per ounce

Use dimensional analysis to convert the measure. There are 16 ounces in a pound.
38 oz = ? lb

 A 152

 B 4.75

 C 608

 D 2.38

\(\frac{16 ounces}{1 pound}=\frac{38 ounces}{x pound}\)=2.38

Choose an appropriate unit of measurement.
Capacity of a soda can.

 A gallons

 B pints

 C quarts

 D fluid ounces

I agree with Guest's answer, but I wanted to show the work translating the sentence to an equation.

What percent of 8 is 1,280?

So, what percent for x, of for *(multiply), 8 for 8, is for =(equals), 1280 for 1280

x * 8 = 1280

8x = 1280

\(\frac{8x}{8}=\frac{1280}{8}\)

x=160

x=160 * 100 = 16,000% D (multiply by 100 to turn into a percent) 

Check answer: 

16,000% * 8 = 1,280 (divide by 100 to turn into a decimal)

160 * 8 = 1280 

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