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3 years ago

How can you compare prices at two different stores by finding the constant of proportionality

Mathematics

1 answer:

dimaraw [331]3 years ago

8 0

Answer:

The constant of proportionality gives you the price per unit at each store.

Step-by-step explanation:

If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is

y = kx

where k is the constant of proportionality.

k = y/x

k has the units of cost per unit, for example, dollars per ounce.

The fewer the dollars per ounce, the better the deal you are getting.

If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?

At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz

At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz

The apple sauce is cheaper at Store A.

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Is (1, 2) a solution to the inequality 6x - y> 3?

Lostsunrise [7]

Answer:

Yes.

Step-by-step explanation:

To find the answer we will put it into the equation, since x = 1 and y = 2 we will write it like this, 6(1) - 2 > 3. Since 6 x 1 = 6, we will now subtract 6 from 2 which equals 4. Therefore, the equation is correct because 4 is bigger than 3.

5 0

2 years ago

Find the area of the circle. 12 ft

Ratling [72]

Answer:

Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

Diameter of circle = 12 feet

To Find:

Area of the circle

Using formula:

$\\ \: \: \dashrightarrow \: \: \:{\underline{\boxed{ \bf{Area_{( circle)} = \pi r^2}}}} \\ \\$

Where,

π = 3.14
Diameter = 12 feet
Radius = 12/2 = 6 feet

On substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times {(6)}^{2} \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times 36 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 113.04 \: {ft}^{2} \\ \\ \\$

Hence,

Area of the circle is 113.04 ft²

3 0

2 years ago

Read 2 more answers

Denise Cho is a broadcast technician and earns $29.00 an hour with time and a

Vladimir79 [104]

hsksebhssv hnshsnsjdndj ldgehsiw c 3072729 lvwjaiwn sj. +a iwiwirbfhx ska hamd +675196 = $ 20000 solved

4 0

1 year ago

The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m mor

Gelneren [198K]

Let
x-------> the horizontal length of the roller coaster
y------> the elevation of the roller coaster
c------> the incline of a roller coaster

we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3

substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=15.026 m

c=2*y-----> c=2*15.026----> c=30.052 m

the answer is
30.05 m