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3 years ago

Can someone help me on this/

Mathematics

2 answers:

morpeh [17]3 years ago

8 0

Answer:

Step-by-step explanation:

2.5

Novosadov [1.4K]3 years ago

4 0

Answer:

Step by step: 2.5

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There are twice as many liters of water in one container as in another. If 8 liters of water are removed from each of the two co

melomori [17]

Suppose the # of litres in the small container is 'x'.
This would make '2x' litres of water in the larger container.
After taking 8 litres from both containers, the following equation can be written:

(2x-8) = 3 (x-8)

Open the brackets:

2x-8 = 3x-24

Collect like terms:

x = 16

There were 16 litres in the smaller container

3 0

4 years ago

Are the two lines parallel, perpendicular, or neither? Explain your answer. Show work needed to answer the question.

tatuchka [14]

Answer:

The lines are perpendicular

Step-by-step explanation:

The correct question is

Are the two lines parallel, perpendicular, or neither? Explain your answer

3x + 7y = 15

7x − 3y = 6

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

Remember that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where m is the slope

b is the y-intercept

we have

$3x + 7y = 15$ ----> equation A

isolate the variable y and convert the equation in slope intercept form

$y=\frac{15-3x}{7}$

$y=\frac{15}{7}-\frac{3}{7}x$

The slope of the line A is $m_A=-\frac{3}{7}$

$7x-3y = 6$ ---> equation B

isolate the variable y and convert the equation in slope intercept form

$y=\frac{7x-6}{3}$

$y=\frac{7}{3}x-2$

The slope of the line B is $m_B=\frac{7}{3}$

Compare the slopes

$m_A\neq m_B$ ---> the lines are not parallel

$m_A* m_B=(-\frac{3}{7})*(\frac{7}{3})=-1$

The slopes are opposite reciprocal

therefore

The lines are perpendicular

8 0

3 years ago

liz wants to determine which sport students like to play the most at her school.which method will most likely produce a random e

never [62]

Answer:

Random sampling

Step-by-step explanation:

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.

6 0

2 years ago

John takes out a personal loan for $5.000 at an annual interest rate 7.5% compounded monthly. He plans to pay off the loan (incl

babunello [35]

Answer:

18,500

Step-by-step explanation:

3 0

3 years ago

Using the identity sin²theta + cos²theta = 1, find the value of tan , to the nearest hundredth, if cos theta = 0.57 and 0 < t

n200080 [17]

Answer:

tan*=sin*/cos*

sin*=1-(0.57)^2

sin*=0.6751

tan*=0.57/0.6751

=0.844

8 0

3 years ago