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brilliants [131]
3 years ago
13

Which table shows a proportional relationship?

Mathematics
1 answer:
lord [1]3 years ago
7 0
To figure this out, always divide y by x in each table. All of the values have to be equal or the table isn’t proportional.

In this case, the last choice is proportional.
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Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to
Levart [38]
The answer is 98 small and 57 large cups.

s - the number of small cups
l - the number of large cups

<span>Ashley sold a total of 155 cups: s + l = 155
</span><span>Ashley earned</span><span>for $265: 1.25 * s + 2.50 * l = 265

</span>s + l = 155
1.25 * s + 2.50 * l = 265
________
s = 155 - l
1.25 * s + 2.50 * l = 265
________
1.25 * (155 - l) + 2.50 * l = 265
193.75 - 1.25 * l + 2.50 * l = 265
193.75 + 1.25 * l = 265
1.25 * l = 265 - 193.75
1.25 * l = 71.25
l = 71.25 / 1.25
l = 57

______
s = 155 - l
l = 57

s = 155 - 57
s = 98

5 0
3 years ago
What is the answer to (n+5)x4=28
Eddi Din [679]
(n+5)x4=28(distribute 4 to each number in parenthesis)
4n+20=28(subtract 20 from both sides)
4n=28-20
4n=8(divide 8 by 4)
n=8/4
n=2
5 0
4 years ago
Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the tem
Verizon [17]

Answer:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

Step-by-step explanation:

Hi!

Lets call:

T = temprature of the object

T₀ = temperature of surroundings

t = time

The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

\frac{dT}{dt} = -k(T-T_0) \\

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

3 0
3 years ago
Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr
Vitek1552 [10]
Mr. Vella can build the wall in 4 days, however only works on it for 3 days. That means that he has completed 75% of the and is leaving 25% for his apprentice.

We need to figure out how long it takes the apprentice to build 25% of a wall. We know he can build 100% of a wall in 6 days, so dividing 6 days by 4 will give us our answer.

6/4 = 3/2 = 1.5 days

It took the apprentice 1.5 days to finish the wall.
6 0
4 years ago
Allen drove 90 miles in 2 and 1/4 hours at a constand speed, how many miles did he drive in one hour.
Bumek [7]
Use property of proportion:

miles           time (hs)
   90              2.25
    x                   1

x = 90 ÷ 2.25
x = 40 miles


8 0
3 years ago
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