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lawyer [7]
2 years ago
14

Noah finds some nickels and pennies in his change purse. How many coins does he

Mathematics
1 answer:
zzz [600]2 years ago
8 0

He has 100 + 120 = 220 coins in his purse.

He has n + p coins if he has n nickels and p pennies.

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George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl
Brums [2.3K]

Hi there!

<u><em>FACTS</em></u><em> :</em>

<em>To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).</em>

<u>STEPS TO ANSWER:</u>

x = 1 ; y = 90 → \frac{1}{90} = 1 ÷ 90 = <u>0.01111111...</u>


x = 2 ; y = 150 → \frac{2}{150} = 2 ÷ 150 = <u>0.0133333...</u>


x = 3 ; y = 210 → \frac{3}{210} = 3 ÷ 210 = <u>0.01428571</u>


x = 4 ; y = 270 → \frac{4}{270} = 4 ÷ 270 = <u>0.0148148...</u>


x = 5 ; y = 330 → \frac{5}{330} = 5 ÷ 330 = <u>0.01515152</u>


<em>** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.</em>


⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
What is the surface area of the cube.<br>A. 409 cm²<br>B. 2400 cm²<br>C. 2004 cm²<br>D. 40 cm²​
larisa [96]
  • Side=a=20cm

Surface area

  • 6a^2
  • 6(20)^2
  • 400(6)
  • 2400cm^2
4 0
2 years ago
5x+3=9x+4, what numbers are the constants
8090 [49]

Answer:

3 and 4

Step-by-step explanation:

5 0
3 years ago
Quadrilateral ABCD quadrilateral WXYZ. If AD = 12, DC = 6, and ZY = 36, find WZ.
valentinak56 [21]
If they're similar it would be 72, 36x2=72.
8 0
3 years ago
Read 2 more answers
Pedro's Diner is open six days a week. His income for the first five days this week was
S_A_V [24]

Answer:

$330

Step-by-step explanation:

What is mean/average?

It is the "sum of all the numbers" divided by the "number of numbers".

An average of 200 for 6 numbers means:

Average=\frac{SUM}{NumberOfNumbers}\\200=\frac{SUM}{6}\\SUM=200*6\\SUM=1200

THus, if we were to add the 6 numbers, we would get "1200". Let the 6th number be x, so we can write:

120 + 110 + 200 + 300 + 140 + x = 1200

870 + x = 1200

x = 1200 - 870

x = 330

To make the average $200, Pedro needs to make $330 on 6th day.

6 0
3 years ago
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