You can use substitution to solve this.
Let's look at the 2nd equation. 2x+3y=29.
In the first equation, we know that x=12-y. So, substitute that in for the 2nd equation. Do that and we have 2(12-y)+3y=29.
Distribute the 2.
24-2y+3y=29.
Combine like terms.
24+1y=29
Subtract the 24, then subtract on the other side of the equation too.
24-24=0, 29-24=5
So now we know that y=5.
Substitute this for the first equation now to find x.
x=12-5
x=7
Final answer: (7,5) or x=7 y=5
Answer:
54 minutes
Step-by-step explanation:
The sum of fractions is ...
2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60
Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.
Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...
SS : Eng = (9/60) : (7/60) = 9 : 7
When we multiply the numbers in this ratio by 6, we find ...
SS : Eng = 54 : 42
Kaya spent 54 minutes studying social studies.
Answer:
d
Step-by-step explanation:
The rule (x, y ) → (x + 4, y - 6 )
means add 4 to the original x- coordinate and subtract 6 from the original y- coordinate, thus
P(- 8, 3 ) → P'(- 8 + 4, 3 - 6 ) → P'(- 4, - 3 )
Q(- 8, 6 ) → Q'(- 8 + 4, 6 - 6 ) → Q'(- 4, 0 )
R(- 3, 6 ) → R'(- 3 + 4, 6 - 6 ) → R'(1, 0 )
Answer:
Step-by-step explanation:
(8-8)/(-14+4) = 0/-10 = 0 is the slope
Answer:
100000 × 1.04 × 1.04
Step-by-step explanation:
108160
