<h3>
Answer: 10 cm (choice A)</h3>
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Explanation:
One equation we could solve is
x/2.5 = 30/7.5
Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.
Solving for x leads to...
x/2.5 = 30/7.5
x*7.5 = 2.5*30
7.5x = 75
x = 75/7.5
x = 10 (choice A)
There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5
These proportions are possible due to the fact we have similar triangles.
<h3>
Answer: x+3</h3>
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Explanation:
Use a graphing tool like Desmos to plot y = |x+3|
See below.
The graph is a V shaped figure. The vertex is at (-3,0). The interval x > 5 is entirely to the right of this vertex. So we only focus on the right hand side of the V shape.
The line making up this right hand side is the equation y = x+3
Therefore, if x > 5 then y = |x+3| becomes y = x+3
In short, we erase the absolute value lines.
Step-by-step explanation:
the mix follows the ratio 2/3 (cups of cocoa to sugar).
2 × x = 6 cups
x = 6/2 = 3
so, the cocoa cups number is multiplied by the factor 3, and we need to multiply also the sugar cup number with the same factor to keep the ratio value unchanged :
so, we need 3×3 = 9 cups of sugar.
Answer:
-6/9
Step-by-step explanation:
Because 1/9 equals 0.1111111111111........... so if you times 6, it gives us 0.6666666........
Now you just put the negative sign in front! :)
Answer:
x=13
Step-by-step explanation:
