Answer:
Step-by-step explanation:
log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03
<h3>
Answer: a = 100</h3>
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Explanation:
There are n = 7 sides to this polygon (so it's a heptagon)
The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.
So that means,
69+284+62+62+242+81+a = 900
800+a = 900
a = 900-800
a = 100
Answer:
1) 25%
2) 555.56
3) 10%
4) 700
Step-by-step explanation:
1) 35 is what percent of 140
This is calculated as:
35/140 × 100
= 25%
2) 250 is 45% of what number?
Let the number be represented as x
This is calculated as:
45% of x = 250
45/100 × x = 250
45x /100 = 250
Cross Multiply
45x = 250 × 100
x = 25000/45
x = 555.55555556
x = 555.56
3) 74 is what percent of 740?
Let the percentage be represented by x
x% × 740 = 74
Divide both side by 740
x% = 74/740
x% = 0.1
Converting to percentage
0.1 × 100 = 10%
4) 350 is 50% of what number?
Let the number the represented by x
This is calculated as:
50% of x = 350
50/100 × x = 350
50x /100 = 350
Cross Multiply
50x = 350 × 100
x = 35000/50
x = 700
x = 555.56
7x-8 (2) = 12x+8
14x-16 = 12x+8
-12x -12x
2x-16 = 8
+16 +16
2x = 24
÷2 ÷2
x= 12
UV= 7x-8
UV= 7(12)-8
UV= 84-8
UV= 76
Answer:
x = 1/5
y = 6
Step-by-step explanation:
System:
{5x + y = 7
{20x + 2 = y
First equation:
5x + y = 7 -> y = -5x + 7
Plug into second equation:
20x + 2 = -5x + 7
Subtract 2 from both sides:
20x = -5x + 5
Add 5x to both sides:
25x = 5
Divde both sides by 25:
x = 5/25 -> 1/5
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Come back to the first equation:
5x + y = 7
Plus in our x:
5(1/5) + y = 7
Multiply:
1 + y = 7
Subtract 1 from both sides:
y = 6
Hope this helps, have a nice day! :D