Answer:
x = -10/13
Step-by-step explanation:
10x + 7 = -3x - 3
Add 3x to both sides
10x + 3x + 7 = -3x + 3x - 3
13x + 7 = 0x - 3
13x + 7 = -3
Subtract 7 from both sides
13x + 7 - 7 = -3 - 7
13x + 0 = -10
13x = -10
Divide both sides by 13
13x ÷ 13 = -10 ÷ 13
1x = -10/13
x = -10/13
Answer:
6w-60x+6
Step-by-step explanation:
6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Answer:
you will 180 pints of the 100% juice and 540 pints of the 40% juice
Step-by-step explanation:
in order to get a 55% mixture you must combine 1 100% and 3 40%
100 + 120 = 220 then divide by 4 and you get 55% juice
now you must use 180 100% juice and 540 40 % juice to make 180 pints
you need this because the ratio is 3 40% to every 1 100%
Answer:
1. 15
2. 75
Step-by-step explanation:
The possible outcomes are an apple (A), orange (O), lemon (L), banana (B), melon (M), and a joker (J), 6 outcomes in total.
1. You could win with 2 jokers in
different ways.
You can list all these ways:
JJA JAJ AJJ
JJO JOJ OJJ
JJL JLJ LJJ
JJB JBJ BJJ
JJM JMJ MJJ
2. You could win with 1 joker in
different ways
You can list all these ways:
JAA JAO JAL JAB JAM
JOA JOO JOL JOB JOM
JLA JLO JLL JLB JLM
JBA JBO JBL JBB JBM
JMA JMO JML JMB JMM
AJA AJO AJL AJB AJM
OJA OJO OJL OJB OJM
LJA LJO LJL LJB LJM
BJA BJO BJL BJB BJM
MJA MJO MJL MJB MJM
AAJ AOJ ALJ ABJ AMJ
OAJ OOJ OLJ OBJ OMJ
LAJ LOJ LLJ LBJ LMJ
BAJ BOJ BLJ BBJ BMJ
MAJ MOJ MLJ MBJ MMJ
Answer:
5/12
Step-by-step explanation:
1/4 and 1/6 are fractions.
As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.
The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.
Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.
1*3/4*3 = 3/12
Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.
1*2/6*2= 2/12
However, we have two new fractions with same denominator now, that is 3/12 and 2/12
We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)
5/12
