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Luda [366]
3 years ago
14

How can 2182 be written as the sum of four consecutive whole numbers?

Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer:

544 + 545 + 546 + 547

explanation: if the numbers are consecutive whole numbers then it would be near the ¼ of the given number

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A triangle has a base of 18.1 kilometres and a height of 17.4 kilometres. What is the area?
vampirchik [111]

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

7 0
2 years ago
Write a quadratic equation given the solutions -4,-6
BigorU [14]

x^{2} +6x+24 is the quadratic equation with the solutions -4 and -6

Given that -4 and -6 are solutions of a quadratic equation and asked to find out the quadratic equation

If "a" and "b" are the roots of the quadratic equation then,

sum of roots = a+b

product of roots = ab

There the required quadratic equation is  x^{2} -(a+b)x+ab

Given that a= -4 and b= -6

sum of roots = a+b = -4 +(-6) = -10

product of roots = ab =( -4 )( -6 ) = 24

There the required quadratic equation is x^{2} +10x+24

Hence, x^{2} +6x+24 is the quadratic equation with the solutions -4 and -6

Learn more about quadratic equation here:

brainly.com/question/17177510

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3 0
1 year ago
A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of
valentina_108 [34]

Correct option D) (0.035)m = 22.40 .

<u>Step-by-step explanation:</u>

Here we have , A prepaid phone card has a balance of $22.40 remaining. Given that it costs $0.035 per minute . We need to find an equation represents the number of minutes, m, you may talk using the card . Let's find out :

Total balance = $22.40

It costs $0.035 for one minute of call  . Let's suppose that with balance $22.40 we can talk for m minutes .  So equation will be :

⇒ (0.035)m = 22.40

⇒ \frac{(0.035)m}{0.035} = \frac{22.40}{0.035}

⇒ m= \frac{22.40}{0.035}

Therefore , an equation represents the number of minutes, m, you may talk using the card is (0.035)m = 22.40 . Correct option D) (0.035)m = 22.40 .

6 0
3 years ago
Paddy and Anna each invest $2000 for 5 years.
Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = P(1+rt)

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125

Formula to compute compound amount : P(1+r)^t

=2000(1+r)^5

When both have same worth then

2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625

taking log on both sides , we get

5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%

Hence, Value of r= 1.22

6 0
3 years ago
A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 par
Arlecino [84]

Answer:

9.941*10^-6

Step-by-step explanation:

Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0

Probability of 1 = 50C1(0.25)(0.75)^49

Probability= 50(0.25)*7.55*10^-7

Probability= 9.375*10^-6

Probability of 0

= 50C0(0.25)^0(0.75)^50

= 1(1)(0.566*10^-6)

= 0.566*10^-6

Total probability

= 9.375*10^-6+ 0.566*10^-6

= 9.941*10^-6

4 0
3 years ago
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