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algol [13]
3 years ago
14

Plz help me with this

Mathematics
2 answers:
forsale [732]3 years ago
5 0

Answer:

\frac{31x}{30}

Step-by-step explanation:

Before adding we require the fractions to have a common denominator

The lowest common denominator of 2, 5 and 3 is 30, thus

\frac{15x}{15(2)} + \frac{6x}{6(5)} + \frac{10x}{10(3)}

= \frac{15x}{30} + \frac{6x}{30} + \frac{10x}{30}

Add the numerators leaving the denominator

= \frac{15x+6x+10x}{30} = \frac{31x}{30}

wariber [46]3 years ago
3 0

Answer: \bold{c)\quad \dfrac{31x}{30}}

<u>Step-by-step explanation:</u>

\dfrac{x}{2}+\dfrac{x}{5}+\dfrac{x}{3}\\\\\text{The LCD of 2, 5, and 3 is }2\cdot 5\cdot 3=30\\\text{Multiply each term so their denominator is 30:}\\\\\\\dfrac{x}{2}\bigg(\dfrac{15}{15}\bigg)+\dfrac{x}{5}\bigg(\dfrac{6}{6}\bigg)+\dfrac{x}{3}\bigg(\dfrac{10}{10}\bigg)\\\\\\=\dfrac{15x}{30}+\dfrac{6x}{30}+\dfrac{10x}{30}\\\\\\=\dfrac{15x+6x+10x}{30}\\\\\\=\large\boxed{\dfrac{31x}{30}}

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Evaluate 8j - k + 14 when j = 0.25 and k = 1.
pantera1 [17]

Steps to solve:

8j - k + 14; j = 0.25 and k = 1

~Substitute

8(0.25) - (1) + 14

~Simplify

2 - 1 + 14

~Subtract

1 + 14

~Add

15

Best of Luck!

8 0
3 years ago
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Y=99.99+23.75(x-1) as a Y=ax+b equation
Hatshy [7]

Answer:

y = 23.75x  + 76.24

Step-by-step explanation:

We want to rewrite

y = 99.99 + 23.75(x - 1)

in the form

y = ax + b

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y = 99.99 + 23.75x - 23.75

Regroup similar terms:

y = 23.75x - 23.75 + 99.99

Simplify:

y = 23.75x  + 76.24

This is now of the form

y = ax + b

where a=23.75 and b=76.24

6 0
3 years ago
HELPPPP
drek231 [11]
Second option. 1.5% of 2,700 is 40.5. Multiply that by 5 and you get 202.5 add that to 2,700 and you get 2,902.5. Round that and you get 2,903. Hence, the second option is correct.
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3 years ago
Select the correct answer from each drop-down menu. The given equation has been solved in the table. Step Statement 1 2 3 4 5 Us
stiks02 [169]

Answer:

Is there a picture or something?

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2 years ago
JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Sladkaya [172]
3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse. 

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees. 

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem. 

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = \sqrt{27}

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/\sqrt{27}
\sqrt{27}Tan(31) = MJ
3.122 = MJ
7 0
3 years ago
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