Number 4. will be a. because if you do 7*9=63*10=630.
Answer:
the ramp must be lowered
Step-by-step explanation:
Use the definition of the sine function to find the height of a ramp that is 8°.
Sine = Opposite/Hypotenuse
sin(8°) = height/8
height = 8×sin(8°) = 1.11
The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.
The ramp must be lowered.
Answer:
<em>A stack of 4 trillion one dollar bills will be 
meters.</em>
Step-by-step explanation:
The annual expenditure of the US federal government is approximately 4 trillion dollars.
We know, 1 trillion dollars = 10¹² dollars.
So, 4 trillion dollars 
dollars.
Each one dollar bill is 0.0001 meters thick.
So, the total height of the stack of 4 trillion one dollar bills will be.....
![[0.0001\times(4\times 10^1^2)]meters\\ \\ =[10^-^4\times(4\times 10^1^2)]meters\\ \\ =(4\times 10^8) meters](https://tex.z-dn.net/?f=%5B0.0001%5Ctimes%284%5Ctimes%2010%5E1%5E2%29%5Dmeters%5C%5C%20%5C%5C%20%3D%5B10%5E-%5E4%5Ctimes%284%5Ctimes%2010%5E1%5E2%29%5Dmeters%5C%5C%20%5C%5C%20%3D%284%5Ctimes%2010%5E8%29%20meters)
Answer:
Imma answer this because I don’t want this to get deleted for not bein answered and there free point who wouldn’t want them, lol :)
Step-by-step explanation:
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.
