During his tennis career in singles play, John won 3 fewer tournament A titles than tournament B titles, and 2 more tournament C titles than tournament B titles. If he won 17 of these titles total, how many times did he win each one? How many A titles
How many B titles
How many C titles
Answers
17=A+B+C & A=B-3 &C=2+B
we only what to work with one variable at a time.
lucky for us we have an idea of what "A" & "C" are. we can plug those into our first equation respectively.
SOLVE FOR B
17= (B-3)+B+(2+B)
17=B-3+B+2+B
17=3B-1
17+1=3B
18=3B
18/3=B
6=B (this means he won 6 B titles)
SOLVE FOR A
A=B-3
A=6-3
A=3
SOLVE FOR C
C=2+B
C=2+6
C=8
CHECK
17=A+B+C
17=3+6+8
17=17
Related Questions
What is the next two numbers for the pattern 0.006, 0.06, 0.6, and 6?
What is 10 inches divided into 12 equal sections? If you can include work please, Thanx!
In which quadrant is the number –14 – 5i located on the complex plane?I II III IV
THE VOLUME OF A CONE IS 15 PI CUBIC METERS. WHAT IS THE VOLUME OF A CYLINDER HAVING THE SAME BASE AND SAME HEIGHT?
Answers
Answer:
90
Step-by-step explanation:
circumference of total circle = 16 pi
16 pi / 4 pi = 4
1 / 4 =25%
1/4 * 360 = 90
Answers
Answer: 120
Step-by-step explanation: 3/10=0.3
0.3*400=120
Answers
Answers
Answer:
- x = 40
- y = 22
Step-by-step explanation:
We know that:
- x - y = 18
- x + y = 62
Work:
- x - y = 18
x + y = 62
- => (x + x) + (y - y) = (18 + 62)
- => 2x + 0 = 80
- => 2x = 80
- => x = 40
To find y, let's use any equation in the "we know that" section.
- => 40 - y = 18
- => 40 - 18 = y
- => 22 = y
Now, let's check our work by using the second equation.
Check:
- x + y = 62
- => 40 + 22 = 62
- => 62 = 62 (Proved correct)
Hoped this helped.
Answers
So 19
= 373/5 + 59/3
= ((373 × 3) + (59 × 5)) / (5 × 3)
= (1119 + 295) / 15
= 1414/15
= 1414/15
= 94 4/15
74+19= 93
for 3/5+2/3 we need a common denominator which in this case would be 15 (the product of the two already existing denominators)
3x3=9 (the 3s are first numerator and the second denominator) so the first fraction is 9/15
5x2=10 (the first denominator and the second numerator) so the second fraction would be 10/15
9+10=19 (the numerators in both fractions) so it's 19/15 which we convert to a mixed numeral which is 1 4/15
93+1 4/15=94 4/15
hope this helps :)
Answers
Answer:
b
Step-by-step explanation:
given
6x + 30 + 4x = 10(x + 3) ← collect like terms on left side
10x + 30 = 10(x + 3) ← distribute parenthesis by 10
10x + 30 = 10x + 30
since both sides are the same , then any value of x will make the equation true.
The equation has infinitely many solutions