1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3
2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.
3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6
4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2
84,000,108 is in standard
Answer:
There will be 2 numbers of individual bags of chocolates left with Missy.
Step-by-step explanation:
Missy bought 4 bags of chocolates and there are 8 pieces of chocolates in each bag.
Therefore, there was a total (4× 8) = 32 chocolates.
Now, her kids ate 6 of the chocolates.
So, there remains (32 - 6) = 26 chocolates left.
If Missy packed the remaining chocolates into individual bags with 13 chocolates in each bag, then there will be
numbers of individual bags of chocolates left with Missy. (Answer)
Answer:
−35.713332 ; 0.313332
Step-by-step explanation:
Given that:
Sample size, n1 = 11
Sample mean, x1 = 79
Standard deviation, s1 = 18.25
Sample size, n2 = 18
Sample mean, x2 = 96.70
Standard deviation, s2 = 20.25
df = n1 + n2 - 2 ; 11 + 18 - 2 = 27
Tcritical = T0.01, 27 = 2.473
S = sqrt[(s1²/n1) + (s2²/n2)]
S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]
S = 7.284
(μ1 - μ2) = (x1 - x2) ± Tcritical * S
(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284
(μ1 - μ2) = - 17.7 ± 18.013332
-17.7 - 18.013332 ; - 17.7 + 18.013332
−35.713332 ; 0.313332
Answer:
65 yd
Step-by-step explanation:
The diagonal of a rectangle can be found using
Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
⇒ 25² + 60² = c²
⇒ c² = 4225
⇒ c = √4225
⇒ c = 65
Therefore, the length of the diagonal is 65 yd