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3 years ago

Which expression is equivalent to (x6x10

Mathematics

1 answer:

yan [13]3 years ago

5 0

Answer:

In solving an equation where one fraction is equal to another fraction we can use the method of cross-multiplication

⇒x+6x=107

Now multiply the red terms together, the blue terms together and equate them.

⇒10x=7(x+6)

distribute the bracket.

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Evaluate lim x=π/4(3x - tanx)

Karo-lina-s [1.5K]

Answer:

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$ = $3(\frac{\pi }{4} )$

Step-by-step explanation:

Explanation:-

Given that

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$

= $\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)$

= $3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )$

= $3(\frac{\pi }{4} )+ 1 )$

= $3(\frac{\pi }{4} )$

5 0

2 years ago

I am stuck on |x+3|<5. Can someone help?

NeTakaya

the answer would be -8<x<2

5 0

3 years ago

The equation of the line that contains diagonal HM is y = 2/3 x + 7.

nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0

2 years ago

One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who

Helga [31]

Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

$\Rightarrow 48\times 341=16,368\ ml$

Amount of Juice Nicole has

$\Rightarrow 36\times 341=12,276\ ml$

Thus, Celine has more juice than Nicole

$\Rightarrow 16,368-12,276=4092\ ml$

Celine has 4092 ml more than Nicole

7 0

3 years ago

PLEASE ANSWER THIS!! 16 POINTS! (2/3)*2 + 1/2

alexira [117]

Answer:

=7/6

Step-by-step explanation:

Join 4/3=1:7/3

7/3/2

Apply the fraction rule:=

7/3x2

Multiply the numbers=

7/6

5 0

3 years ago

Read 2 more answers