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Wittaler [7]
3 years ago
12

plz help me now plz: A cable 65 meters long is cut into two pieces so that one piece is 18 meters longer than the other. Find th

e length of each piece of cable
Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

One piece is 23.5

the other is 41.5

Step-by-step explanation:

first subtract 18 from 65 that will give you 47. Then 47÷2= 23.5. this is the length of the shorter piece. since one piece is 18 m longer then the other, add 18 to 23.5. that will give you the length of the longer piece. You can check your work by adding 23.5 and 41.5. They equal 65.

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Are there any numbers that go into 78 and 780
Kryger [21]
Are there any numbers that go into 78 and 780?

78 ÷ 2 = 39
780 ÷ 2 = 390

2 can be a number that goes in 78 and 780.
7 0
3 years ago
Read 2 more answers
Rajans school is having a raffle. The school sold raffle tickets with 3-digits. Each digit is either 1,2,or 3. The school also s
belka [17]

Answer:

Step-by-step explanation:

We are told the school sold raffle tickets, and each ticket has a digit either 1, 2, or 3. The school also sold 2 tickets with the number 000.

Therefore we have the following raffle tickets:

123

132

213

231

312

321

000

000

From the given information, we can deduce that the school sold 8 tickets and only one ticket can contain the number arrangement of 123, but 000 appeared twice.

Probability of 123 to be picked=

1/8 => 0.125

Probability of 000 to be picked=

2/8 => 0.25

Since the probability of 000 to be picked is greater than 123, a ticket number of 000 is more likely to be picked

8 0
3 years ago
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
A random variable is ______________ whenever the probability is proportional to the interval’s length
evablogger [386]
A random variable is UNIFORMLY DISTRIBUTED whenever the probability is proportional to the interval's length.
4 0
3 years ago
Answers?? With work please
Naya [18.7K]
1.)-2
2)-2
3.)-3
4.)-1
5)1
6.)-6
7.)-6
8.)4
9.)0
10.)no solution
11.)-3
12.)all real numbers
13.)-1
14.)5
On working on the work for the first problem so u understand
7 0
3 years ago
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