Answer:
Step-by-step explanation:
Since triangle ADE and triangle ABC are similar, that means their sides are proportional, thus we get the equation
Thus the value of x is 4
Identify the slope of the equation, substitute by distribution I think, substitution for given point coordinates the y-intercept and combined like terms. And rewrite the equation in y-intersect form. I think this is write, have a great day!
Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x.
<span>Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. </span>
<span>We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. </span>
<span>x + y = 120 </span>
<span>1.35(x) + (1.05)y = 138 </span>
<span>We can rewrite the first as </span>
<span>x = -y + 120 </span>
<span>Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. </span>
<span>1.35(x) + 1.05(y) = 138 </span>
<span>1.35(-y + 120) + 1.05y = 138 </span>
<span>-1.35y + 162 + 1.05y = 138 </span>
<span>-0.3y + 162 = 138 </span>
<span>-0.3y = -24 </span>
<span>y = 80 </span>
<span>And since x + y = 120, that means x = 40. </span>
<span>Check: </span>
<span>40 pounds of x at $1.35 costs 40 * 1.35, or $54. </span>
<span>80 pounds of y at $1.05 costs 80 * 1.05, or $84. </span>
<span>Do those add up to our target total, according to the question, of 120 * 1.15 = $138? </span>
Answer:
the linear equation is :
y= -2625x+5737875
and 440000 employees will be in year 2271
Step-by-step explanation:
in order to find the linerar equation let us first convert the given data into (x,y ) co-ordinates i.e
x1= 1987 y1= 522,000
and
x2= 2003, y2 = 480000
according to two point form:
In this example we have x1=1987 , y1=522000 , x2=2003 and y2=480000. So,
now to find the year when there will be 440000 employs working , we simply put y= 440000 in the above derived equation
