# If y = 1 x – 1 , what is x in terms of y?

## Answers

(1x+2y+3z)/(x+y+z)=1.5

x+2y+3z=1.5x+1.5y+1.5z

0.5y+1.5z=0.5x

x=y+3z

1x+2y+3z = 1.5(x+y+z)

x+2y+3z = 1.5x+1.5y+1.5z

1.5x-x = 2y-1.5y+3z-1.5z

0.5x=0.5y+1.5z

x=y+3z

A is correct.

x = y + 3z.

Step-by-step explanation:

Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume.

If x gallons of the 1 percent grade, 1% of x = 0.01x

If y gallons of the 2 percent grade, 2% of y = 0.02y

If z gallons of the 3 percent grade, 3% of z = 0.03z

Total number of gallons = x+y+z

Total grade = 1.5% of (x+y+z)

The amount of grade before and after mixing should be same.

According to question,

0.01x + 0.02y + 0.03z = 0.015(x+y+z)

0.01x + 0.02y + 0.03z = 0.015x + 0.015y + 0.015z

0.015x - 0.010x = 0.020y - 0.015y + 0.030z - 0.015z

0.005x = 0.005y + 0.015z

x = y + 3z

Hence, The required equation will be x = y + 3z

Option A

Step-by-step explanation:

Here the fat by volume of three different grade is equal to [tex]1.5[/tex]% grade.

Thus, if we write the above relationship mathematically we get -

[tex]1[/tex]% of [tex]x[/tex][tex]+ 2[/tex]% of [tex]y[/tex]+ 3[/tex]% of [tex]z[/tex][tex]= 1.5[/tex]% of [tex](x+y+z)[/tex]

On solving the above equation, we get -

[tex]x+2y+3z=1.5x+1.5y+1.5z\\0.5x=(2y-1.5y)+(3z-1.5z)\\[tex]x= 2*0.5y+2*1.5z\\ x= y+3z[/tex]

Hence, option A is correct

x=y+3z

Step-by-step explanation:

If we mixed the three grades of milk, the total percentage of fat by volume is given by:

(1%*x)+(2%*y)+(3%*z)

Where x is the number of gallons of 1% grade, y is the number of gallons of 2% grade and z is the number of gallons of 3%

We want that these percentage be equal to 1.5% of the total volume, so we create the following equation:

1.5%( x + y + z ) = (1%*x) + (2%*y )+ (3%*z)

Solving for x, we get:

1.5%*x + 1.5%*y + 1.5%*z = 1%*x + 2%*y + 3%*z

1.5%*x - 1%*x = 2%*y + 3%*z - 1.5%*y - 1.5%*z

0.5%*x = 0.5%*y + 1.5%*z

x = y + 3z

Then x in terms of y and z is x=y+3z

Hello there.

2) The distance d that an object travels in t seconds is given by the formula d=1/2 at^2 , where a is the acceleration of the object. Which of the following expresses a in terms of d and t?

A) a=2dt^2

The first answer is A because (b+6) represents the sidewalk length. (With the pool length and the two corners, which equal 3 ft each.) Then, the sidewalk width would be (h+6) for the same reason. Multiply them and get the pool area plus the sidewalk area. But you only need the sidewalk area so you would subtract the pool area from the whole area, to get (b+6)(h+6)-bh, or A in the end.

Unfortunately, I do not know the answers to the rest of the problems. I still hope this helped though!

y=mx+b

step-by-step explanation:

m slope, b y-intercept

55. i don’t no. but zhongshan