Answer:
6x - 4 = 32. The variable (times a number) is equal to 6.
Step-by-step explanation:
So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.
Four less than 6 times a number: 6x - 4 _ __.
Now we can add the equal sign and the 32: 6x - 4 = 32.
We can now solve. Add 4 to both sides of the equation to cancel out the -4:
6x - 4 = 32
<u>+4 + 4</u>
6x = 36
Now we divide 6 into both sides of the equation to single out the x.
<u>6x = 36</u>
6 6
36/6 = 6, so:
x = 6
I hope that this helps.
Answer:
Yes
Step-by-step explanation:
They are proportional by a scale of 1.5
0.75^2 = 0.5625.....sq rt 0.5625 = 0.75
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
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The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
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<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
