Answer:
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal.
Step-by-step explanation:
so for example if a=b then a x c=b x c
because your doing the same thing to both sides.
Answer:
Total distance covered: 60x8 = 480
Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.
initial velocity : 60 km/hr.
Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.
Step-by-step explanation:
Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Step-by-step explanation:
Let x represent the amount that he would deposit in the simple interest account.
Let y represent the amount that he would deposit in the certificate of deposit.
she will deposit twice as much in the certificate of deposit. It means that
y = 2x
Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x
Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.
The total interest from both accounts would be $390. It means that
0.07x + 0.05y = 390- - - - - - - - - - 1
Substituting y = 2x into equation 1, it becomes
0.07x + 0.05 × 2x = 390
0.07x + 0.1x = 390
0.17x = 390
x = 390/0.17 = $2294
y = 2x = 2 × 2294
y = 4588
Answer:
9. This is because you have to add 13 to -4, which gives you positive 9. Hope this helped!
Answer:
78.46
Step-by-step explanation:
Given that
Pop. Standard deviation = 1.61
Sample standard deviation = 2.15
Sample mean = 7.47
Sample size = 45
Recall that
Test stat for chi square
= (n - 1) (sample standard dev/pop standard dev)^2
= 45 - 1 (2.15/1.61)^2
= 44(1.3354)^2
= 44 × 1.78329
= 78.46