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ExtremeBDS [4]
2 years ago
7

The sum, S, of the first n even integers can be found using the equation S=n(n+1). If the sum of the first n even integers is 24

0, then what is n?​
Mathematics
1 answer:
Nookie1986 [14]2 years ago
5 0

Answer:

S=n(n+1) therefore 240=n(n+1), 240=2n +n therefore i have to move all to one place and equate to Zero so that will become quadratic equation 240-2n -n=0 so -n -2n +240=0

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A conditional sentence
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Students water a plant with the same amount of water for 28 days, if the students use a total of 23.8 L of water over the 28 day
DENIUS [597]
23.8÷28=0.85
0.85 Liters

every liter is 1000 mililiters.
0.85 Liters is 850 mililiters.
7 0
3 years ago
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 p
Minchanka [31]

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

<h3>What is cost price per pound?</h3>

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

C=\dfrac{4.50}{5}\\C=0.5625

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

brainly.com/question/20333618

4 0
2 years ago
How do I answer this question pls help me
n200080 [17]

Answer:

  14.7 quarts

Step-by-step explanation:

Use the given equivalence figures to write a proportion. Solve the proportion for the unknown value.

__

  quarts/liters = x/14 = 1/0.95 . . . . . the conversion is given as 1 qt = 0.95 L

Multiply by 14 to find x.

  x = 14(1/0.95) ≈ 14.7

There are about 14.7 quarts in 14 liters.

_____

<em>Additional comment</em>

You are given a value in liters (14 liters) and asked for the equivalent in quarts. That means you want to change the units from liters to quarts. To do that, you can multiply the given value (14 liters) by a conversion factor that has quarts in the numerator and liters in the denominator. That is what the fraction 1/0.95 is in the above. You will note that units of liters cancel in this equation.

  (14\text{ liters})\times\dfrac{1\text{ quart}}{0.95\text{ liter}}=\dfrac{14}{0.95}\text{ quarts}\approx14.7\text{ quarts}

This rule, "use a conversion factor that divides by the units you don't want and multiplies by the units you do want" applies to any units conversion problem. The conversion factor you use should <em>always</em> have <em>equal quantities</em> in the numerator and denominator. (Here, the equal quantities are 1 quart and 0.95 liters.)

You will notice that we treat units just like any variable. They can be multiplied, divided, cancelled, raised to a power. Only terms with like units can be added or subtracted.

4 0
2 years ago
Two cars are traveling in the same direction. the first car is going 40 mph and the second car is going 55 mph. the first car le
jarptica [38.1K]
I hope this helps you




distance=speed×time



first cars time t




second cars time t+3



same distance


distance=55.t


distance=40. (t+3)



55t=40 (t+3)



55t-40t=120


15t=120


t=8


t+3=11
4 0
3 years ago
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