Answer:
7.15 (two sig figs)
Step-by-step explanation:
There is a time limit dude, googling is a faster way
1. Area of rectangle
A = l*z
2. Find z
93 = 13*z
z ≈ 7.15
Answers:
(a) p + m = 5
0.8m = 2
(b) 2.5 lb peanuts and 2.5 lb mixture
Explanations:
(a) Note that we just need to mix the following to get the desired mixture:
- peanut (p) - peanuts whose amount is p
- mixture (m) - mixture (80% almonds and 20% peanuts) that has an amount of m; we denote this as
By mixing the peanuts (p) and the mixture (m), we combine their weights and equate it 5 since the mixture has a total of 5 lb.
Hence,
p + m = 5
Note that the desired 5-lb mixture has 40% almonds. Thus, the amount of almonds in the desired mixture is 2 lb (40% of 5 lb, which is 0.4 multiplied by 5).
Moreover, since the mixture (m) has 80% almonds, the weight of almonds that mixture is 0.8m.
Since we mix mixture (m) with the pure peanut to get the desired mixture, the almonds in the desired mixture are also the almonds in the mixture (m).
So, we can equate the amount of almonds in mixture (m) to the amount of almonds in the desired measure.
In terms mathematical equation,
0.8m = 2
Hence, the system of equations that models the situation is
p + m = 5
0.8m = 2
(b) To solve the system obtained in (a), we first label the equations for easy reference,
(1) p + m = 5
(2) 0.8m = 2
Note that using equation (2), we can solve the value of m by dividing both sides of (2) by 0.8. By doing this, we have
m = 2.5
Then, we substitute the value of m to equation (1) to solve for p:
p + m = 5
p + 2.5 = 5 (3)
To solve for p, we subtract both sides of equation (3) by 2.5. Thus,
p = 2.5
Hence,
m = 2.5, p = 2.5
Therefore, the solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
Answer:
See below ~
Step-by-step explanation:
<u>(a)</u>
The point (8, 28) represents that in the time of 8 minutes, 28 cm of the horse trough has been filled.
- 8 <u>minutes</u> 28 <u>centimeters</u>
<u></u>
<u>(b)</u>
<u>Finding the unit rate</u>
- No. of centimeters / min.
- 28 cm / 8 min
- <u>3.5 cm/min</u>
Answer:
3.5
−2.46
1.16 error aligning the decimal point.
Do this instead
3.50
- 2.46
1.04
9514 1404 393
Answer:
(d) x = 2
Step-by-step explanation:
Adding the two equations gives ...
(-8x +8y) +(3x -8y) = (8) +(-18)
-5x = -10 . . . . . sum of the two equations
x = 2 . . . . . . . . result of dividing by -5
