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Oksanka [162]
3 years ago
15

Solve by elimination 5x-15y=10 3x-5y=-6

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
Multiply bottom equation by -3 to add and eliminate y’s.

So...

5x-15y=10
+-9x+15y=18

You get -4x=28 so x=-7

Plug in to get y
5(-7)-15y=10
-35-15y=10
-15y=45
So y=-3

Check in other equation
3(-7)-5(-3)=
-21+15=-6

So x= -7 and y= -3
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6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.
nlexa [21]

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55

7 0
3 years ago
Which can holds more an American beer can measuring 6.5cm in diameter by 14.1cm high or an European beer can measuring 5.2cm in
inn [45]

Answer:

European can holds more, Volume is approx 159π

American can, Volume is approx 149π

Step-by-step explanation:

V(cyl) = π · r² · h

6 0
3 years ago
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f
yuradex [85]

Answer:

a

   P(X = 4 ) = 0.1876

b

   P(X \le 4)  =  0.8358

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

X \  \ ~ Bin (n , p )

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

P(X = 4 ) =  ^nC_4 * p^4 * (1 - p)^{n-4}

=> P(X = 4 ) =  ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}

Here C stand for combination

=> P(X = 4 ) = 0.1876

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

P(X \le 4) =  [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]

=>   P(X \le 4)  =  0.8358

4 0
3 years ago
Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ​ ÷7=4, start fraction, 2, divided by, 3, end fraction,
velikii [3]

Answer:

\dfrac{2}{3}

Step-by-step explanation:

Given the quotient: 4\dfrac{2}{3} \div 7

Step 1: Write 4\dfrac{2}{3} in improper fraction.

4\dfrac{2}{3}=\dfrac{14}{3}

Therefore:

4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7

<u>Step 2:</u> Change the division sign to multiplication by taking the reciprocal of 7

\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}

3 0
3 years ago
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Answer:

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