<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)
multiply (1st) by 3 and (2nd) by 4
</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
a = 3
<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
x = 5
answer
x = 5 and a = 3</span>
Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12
Answer:
5
Step-by-step explanation:
4^2+3^2=25
sqrt of 25 is 5
13.23 miles
Step-by-step explanation:
The vector creates an inverted right-angled triangle. The westbound car will have covered 20 miles while the southbound car will ahve covered 15 miles in 30 mins;
40 miles /hr * ½ hr = 20 miles
30 miles/ hr * ½ hr = 15 miles
To find the hypotenuse (distance between the two cars), we shall use the formulae;
a² + b² = c²
20² + 15² = c²
c² = 20² – 15²
c² = 175
c = 13.23
Learn More:
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