Answer:
x = 3/2
Step-by-step explanation:
x- 3/4 + 2/3 = 17/12
x = 17/12 + 3/4 -2/3
x = 3/2
<h3>
Answer: TV = 10</h3>
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Explanation
Let x be some positive real number such that
leading to the ratio
ST:TU:UV = 6x:2x:3x = 6:2:3
Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x
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The parts of the ratio add up to the longest segment SV
ST+TU+UV = SV
6x+2x+3x = 22
11x = 22
x = 22/11
x = 2
Therefore,
- ST = 6x = 6*2 = 12
- TU = 2x = 2*2 = 4
- UV = 3x = 3*2 = 6
Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.
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The last step is to find the length of TV
TV = TU+UV
TV = 4+6
TV = 10
Or you could do
ST + TV = SV
12+TV = 22
TV = 22-12
TV = 10
In 14 pounds of a 50% mixture we have 0.5*14=7pounds of cement
lets think that we need x pounds of mix of an 80% cement so in that mix we will have 0.8x pounds of cement. If we'll mix both we wiil have (14+x)pounds of mix and we have (0.8x+7) cement on it.
in mixture mix there are 60% of (x+14)pounds of cement so it is 0.6(x+14) of cement
make equation (sum of mix)
0.6(x+14)=0.8x+7
0.6x+8.4=0.8x+7
0.2x=1.4
x=7
Answer: engineer need 7pounds of 80% mix
P.s. look at the picture it more easy for understanding!
Ulterior exterior angles:
50+2y =180
50+x+5=180 55+x=180
50-50+2y=180-50
2y/2=130/2
y=65