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3 years ago

11

At the farmers market, you can buy 3 jars of honey for $12,6 jars of honey for $24,or 9 jars of honey for $36.what is the consta

nt of proportionality for buying jars of honey ?

1 answer:

harina [27]3 years ago

7 0

Answer:

12

Step-by-step explanation:

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P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 <br><br> What does n=

Juli2301 [7.4K]

Answer:

$n = 3$

Step-by-step explanation:

Given:

The equation given is:

$p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7$

We simplify the given equation using the following law of indices:

$a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}$

Therefore,

$p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5$

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

$n+2=5\\n=5-2\\n=3$

Therefore, the value of 'n' is 3.

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3 years ago

Crafter’s Warehouse sells 6 yards of solid color fleece for $16.49. They sell 16 feet of patterned fleece for $15.40. Which flee

kipiarov [429]

Answer:

the solid color fleece is a better price

Step-by-step explanation:

Data:

Solid color fleece: S

Paterned fleece : P

Cost:

S=$1649 per 6 yards

P= $15.40 per 16 feet

To find which fleece is better price you need to find the price of each one per the same unit.

1. Turn the yards in feet (1 yd is equal to 3 feet )

$6yd.\frac{3ft}{1yd} =18ft$

2. Find the price per 1 feet of each fleece:

Solid color fleece: $ 0.916 per 1 feet

$S=\frac{16.49}{18ft} =\frac{0.916}{ft}$

Patterned fleece: $0.9625 per 1 feet

$P=\frac{15.40}{16ft} =\frac{0.9625}{ft} \\$

Then, the solid color fleece is a better price

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stepan [7]

Answer:

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Step-by-step explanation:

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Plug in our x and Y values to check:

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0 = -2 + 2
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