A team won 3 of their first 10 games. If they win the next n games, they will have won 50% of their games. What is the value of n?

Answers

Answer 1
Answer: If the team wins the next n games, the number of games they win becomes 3 + n. The total number of games is 10 + n. The ratio of games won over total number of games would be 1/2. 
                       (3 + n) / (10 + n) = 1/2
From the equation, the value of n is 4. 
Answer 2
Answer: 50%=50/100=1/2

(3+n)/(10+n)=(1)/(2)
solve
multiply both sides by  (2)(10+n)
(2)(3+n)=(1)(10+n)
6+2n=10+n
minus n from both sides
6+n=10
minus 6 from both sides
n=4

answer is n=4

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What is the range of these? And what’s the definition of range

Answers

Answer:

-3, 1, 2

Step-by-step explanation:

the range is the y- values

Answer:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Step-by-step explanation:

alan participated ina car race in which he had to cover a distance of at least 50 kilometers. he had fuel in his car for a maximum distance of 53 kilometers. if the distance is given by S (t) = 3t + 47, where t is the time in hours, find the minimum and maximum number of hours for which alan can drive his car.

Answers

This problem has more holes than swiss cheese.

ASSUME that the time he drives only depends on the distance he covers,
and has nothing to do with his speed or how he drives.

The race rules say he has to cover at least 50 km,
so the minimum time he can drive is the solution to
[ 50 = 3t + 47 ]
Subtract 47 from each side:
3 = 3t
Divide each side by 3 :
1 = t minimum

He has fuel for exactly 53 km, so the maximum time
he can drive is the solution to
[ 53 = 3t + 47 ]
Subtract 47 from each side :
6 = 3t
Divide each side by 3 :
2 = tmaximum

What is the y-intercept of the line?

y = -2x - 8

y-intercept =

Answers

The general format is y = mx + c.

Where m is the gradient and the y intercept is c.

So comparing to  y = -2x - 8

m = -2 and c = -8.

Therefore the y intercept is = -8.

I hope this helps.
if the x column is 0 then the y intercept should be (-8) 

Owen’s grandmother put some money into his savings account on the day he was born. Today, Owen turns 18 years old, and he’s discovered that he has earned $225 in simple interest on his grandmother’s money. If the yearly interest rate was 5%, how much money did his grandmother deposit at the time of his birth?

Answers

Answer:

Step-by-step explanation:

The formula for simple interest is prt = I, where p is the initial investment (our unknown in this case), r is the interest rate in decimal form, t is the time in years, and I is the interest earned. That is NOT the same as the amount of money in the account t years later.

For us,

p = ??,

r = .05,

t = 18, and

I = 225.

Filling in:

p(.05)(18) = 225 and

.9p = 225 so

p = 250

Answer:

The answer is $250.

Step-by-step explanation:

First, the money that his grandmother deposited is called the principal, P. Substitute the given values into the formula, interest equals principal times rate times time, and solve for P. Here, I is 225 dollars and t is 18 years.

Next, the percent given represents the interest rate, r, but first it must be changed to a decimal. To change it, move the decimal point 2 places to the left.

Now, multiply point 0, 5, and 18 to simplify the right side of the equation. The product is point nine.

Finally, divide both sides of the equation by .9 . The result is P equals $225 The principal, or original deposit, is $250.

The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

Select the polynomial that is a perfect square trinomial.9x2 + 9x + 1

36b2 − 24b + 8

16x2 + 24x + 9

4a2 − 10a + 25

Answers

Answer: (c)  16x^(2)+24x+9.


Step-by-step explanation:

(a) 9x^(2) +9x+1 cannot be further factorised, so this is not correct option.

(b) 36b^(2)-24b+8 also cannot be expressed as factors, and hence this is too not correct.

(c) 16x^(2)+24x+9=({4x+3} )^2, the correct one.

(d) 4a^(2)-10a+25 cannot be factorised, so its not correct.

Thus, (c) 16x^(2)+24x+9 is the correct option.

Hello,

Answer C

16x²+24x+9=(4x+3)²