$x:y:z\ \ \ \Leftrightarrow\ \ \ 6:3:1\\ \\ \frac{x}{z} =\frac{6}{1}\ \ \ \Rightarrow\ \ \ x=6z\ \ \ \ \ \ \ and\ \ \ \ \ \ \ \frac{y}{z} =\frac{3}{1}\ \ \ \Rightarrow\ \ \ y=3z\\ \\x+y+z=420\ \ \ \Rightarrow\ \ \ 6z+3z+z=420\ \ \ \ \Rightarrow\ \ \ \ 10z=420\ /:10\\ \\z=42\ \ \ \Rightarrow\ \ \ \ x=6\cdot42=252\ \ \ \ and\ \ \ \ y=3\cdot42=126\\ \\ \\a=x-50\%x=50\%x= \frac{1}{2} \cdot252=126=3\cdot42\\ \\b=y+42=126+42=168=4\cdot42\\ \\c=420-126-168=126=3\cdot42\\ \\a:b:c\ \ \ \Leftrightarrow\ \ \ 3:4:3$

7 0

3 years ago

Sin(x+20) - cos (2X+10)

Vladimir [108]

Answer:

X=20

Step-by-step explanation:

Sin(x+20)=cos(2x+10)

Sin(x+20)=sin(90-(2x+10)

X+20=90-2x-10

3x=60

X=20

8 0

3 years ago

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represe

Zina [86]

an=an+b

14=4a+b and a=-8

14=-32+b

b= 46

an=-8n+46

4 0

3 years ago

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What is $7.50 with a added 6% sales price.​

What is $7.50 with a added 6% sales price.