Answer:
x=8.8
Step-by-step explanation:
Cross multiply
4/5=x/11
5*x=4*11
5x=44
Divide by 5 on both sides
x=8.8
Or, multiply both sides of the equation by 11
4/5=x/11
11*4/5=x/11*11
8.8=x
Hope this helps! :)
<span>The difference of X and the number is six what is the other number.
Write "the difference between X and another number (Y) is 6." Find Y.
X-Y=6, or Y = X - 6 This is the equation of a straight line. Can't solve this problem for Y without knowing more about X. Ensure that you have copied down ALL of the original problem.</span>
The smallest mass of sugar for which that will be possible will be <u>30.5g.</u>
Since we're given the information that each heap contains either 27g, 45g, 30g, or 20g, then in order to calculate the smallest mass of sugar that can be divided to get equal heaps, we've to find the average of the numbers given and this will be:
= (27g + 45g + 30g + 20g) / 4
= 122g / 4
= 30.5g
In conclusion, the correct option is 30.5g.
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Answer:
132 feet
Step-by-step explanation:
Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.
Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.
The distance between points A and C, AC=140 feet.
Drawing a horizontal line from point E which meets AB at point D as shown.
As ACED forms a rectangle, so
AC=DE=140 feet ...(i)
CE=AD= 6 feet ...(ii)
The height of the tree, AB=AD+DB
By using equation (ii), AB=6+DB ...(iii)
Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.
So,
In triangle DEB,
[from (i)]
feet
From equation (iii) the height of the tree is
AB=6+126=132 feet.
Hence, the height of the tree is 132 feet.
Simple...
you have:
-2x+5y=10
re-write in y=mx+b form...
-2x+5y=10
+2x +2x
5y=2x+10
Now divide....
5y=2x+10
y=
Now it's easy to see the slope and y-intercept...
Slope:
Y-intercept:2
Thus, your answer.