1.-28×-28×-28+13×13×13+16×16×16
=21,952+2,197+4,096
=28,245.
2.12×12×12+-7×-7×-7+-5×-5×-5
=1,728+-343+-125
=1,260
Answer:
Amount of money she will owe after 5 weeks is, $1,140
Explanation:
Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.
As per the given condition:
After 2 weeks, Emery will owe $456.
By definition of unit rate;
![\text{Unit rate per week} =\frac{456}{2} = \$228](https://tex.z-dn.net/?f=%5Ctext%7BUnit%20rate%20per%20week%7D%20%3D%5Cfrac%7B456%7D%7B2%7D%20%3D%20%5C%24228)
Now, to find how much money she will owe after 5 weeks.
![\text{Amount of money} = \text{Unit rate per week} \times \text{number of week}](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20money%7D%20%3D%20%5Ctext%7BUnit%20rate%20per%20week%7D%20%5Ctimes%20%5Ctext%7Bnumber%20of%20week%7D)
Substitute the given values we have;
![\text{Amount of money} =228 \times 5 = \$1,140](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20money%7D%20%3D228%20%5Ctimes%205%20%3D%20%5C%241%2C140)
therefore, after 5 weeks, she will owe $1,140
Answer:
forty-five and sixty-three hundredths
Step-by-step explanation:
You need to set a variable to represent the width, let's say "w'.
width = w
length (l) = 20 + w
Area = length * width
A = (20 + w) * w
See how I substituted the length in terms of w, above? We also know the area, so plug that in:
A = (20 + w) * w
1500 = (20 + w) *w
Solve for w. If it's easier, rewrite as:
1500 = w(20 + w)
Distribute the right side, and solve for w (width).
Then plug back into the equation for length --> length = 20 + w to find the other dimension
Answer:
24 Combinations Total
Step-by-step explanation:
METHOD 1 (no advanced math skills needed)
i. Number the friends: a, b, c, and d
ii. List all possible combinations...
- a b c d
- a b d c
- a c b d
- a c d b
- a d b c
- <u>a d c b</u>
- b a c d
- b a d c
- b c a d
- b c d a
- b d a c
- <u>b d c a</u>
- c a b d
- c a d b
- c b a d
- c b d a
- c d a b
- <u>c d b a</u>
- d a b c
- d a c b
- d b a c
- d b c a
- d c a b
- <u>d c b a</u>
To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.
METHOD 2
n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24