96
-30
——
66
Answer: the total of the skateboard was $66
a.
b=cost per burrioto
t=cost per taco
b.
3 burritos and 4 tacos costs 11.33; 3b+4t=11.33
9 burritos and 4 tacos costs 22.07; 9b+4t=22.07
c. solve
3b+4t=11.33
9b+4t=22.07
mulitply irst equation by -1 and add to 2nd to cancel t's
-3b-4t=-11.33
<u>9b+4t=22.07 +</u>
6b+0t=10.74
6b=10.74
divide both sides by 6
b=1.79
subsitute back
3b+4t=11.33
3(1.79)+4t=11.33
5.37+4t=11.33
4t=5.96
divide both sides by 4
t=1.49
solution: 1 taco costs $1.49 and 1 burrito costs $1.79
Answer:
-2
Step-by-step explanation:
-6x - 9 ≤ 3
+ 9 ≤ +9
-6x ≤ 12
---- -----
-6 -6
x ≤ -2
Answer: 1/2
<u>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD</u>
(2/12*1/1) + (1/3+4/4)
<u>Complete the multiplication and the equation becomes
</u>
2/12+4/12
<u>The two fractions now have like denominators so you can add the numerators.</u>
2+4/12 = 6/12
<u>This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor </u>
6/12 ÷ 6/6 = 1/2
<u>Therefore:
</u>
2/12 + 1/3 = 1/2
The experiment probabilities are listed below:
One: 2 out of 20 = 2 / 20 = 0.1 or 10%
Four: 5 out of 20 = 5 / 20 = 1 / 4 = 0.25 = 25%
The theoretical probability of any single number is 1 out of 6 or about 17%.
The experimental probability for ones was less than and for fours it was greater than the theoretical probability.
