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s2008m [1.1K]
3 years ago
14

X-3y-7=0 , 3x-3y-15=0 solve this using cross multiplication​

Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

x = 4 , y = -1

Step-by-step explanation:

x - 3y = 7 -- (1)

3x - 3y = 15 -- (2)

Rewriting (1), x = 3y + 7 -- (1)'

Substituting (1)' into (2),

3 ( 3y + 7 ) - 3y = 15

9y + 21 - 3y = 15

6y = -6

y = -1 -- (3)

Substituting (3) into (1),

x - 3 ( - 1 ) = 7

x + 3 = 7

x = 4 -- (4)

According to (3) and (4),

x = 4 , y = -1

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There are 3 times more kittens than puppies in a box. Together there are 24 animals. How many kittens are there?
Paha777 [63]

kitten : puppies

3:1

<em>Total</em><em> </em><em>no</em><em>.</em><em> </em>

3+1 = 4

<em>Ther</em><em>efore</em>

24÷4 = 6

(each of ratio represent 6 animals)

<em>So</em><em>,</em>

3×6

= 18

Answers

18 kitten

6 0
3 years ago
18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc
Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}

where, \overline{x} is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}

CI=65.4\pm 0.46

CI=65.4-0.46\text{ and }CI=65.4+0.46

CI=64.94\text{ and }65.86

Therefore, the correct option is D.

5 0
3 years ago
How do you do this question
ella [17]

Answer:


Step-by-step explanation:


5 0
3 years ago
What is the equation of the line in slope-intercept form?
kari74 [83]

Answer:

y=400/300x

Step-by-step explanation:

6 0
3 years ago
Multiply. assume that no denominator equals zero x^2-16
lawyer [7]
There's nothing to multiply. However, you can factor it to get (x + 4)(x - 4). 
4 0
3 years ago
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