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marusya05 [52]
4 years ago
11

When 18 is subtracted from six times a certain number ,the result is -42 what is the number

Mathematics
1 answer:
Effectus [21]4 years ago
3 0

Answer:

The value for such given number is -4.

Step-by-step explanation:

Let the given number = m

So, according to the question:     6 m - 18  =  -42

Now, solving for the value of m,

6m - 18 = -42 ⇒   6m = -42  + 18

⇒ 6m = -24

or, m= -24/ 6 = -4

So, m  = -4

Hence the value for such number is -4.

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Hope it helps :)

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matrenka [14]

4 + 3 × x should be right

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8 0
3 years ago
Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 j
AURORKA [14]
<h2>$2.98</h2>

Step-by-step explanation:

       5 bags of chips and 4 jars of dipping sauce cost $21.82. Also, 4 bags of chips and 3 jars of dipping sauce cost $16.86.

       This problem can be modeled using linear equations in two variables.

Let c be the cost of a bag of chip and s be the cost of a jar of dipping sauce.

The information yields the equations

       5c+4s=21.82,4c+3s=16.86\\\textrm{Multiply first equation by 4 and second equation by 5}\\20c+16s=87.28,20c+15s=84.3\\\textrm{Subtracting second equation from the first one}\\s=\$2.98

∴ A jar of dipping sauce costs \$2.98.

3 0
4 years ago
Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

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Now the zero product property tells us that there are two cases where this is true,

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In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
4 years ago
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