Answer:
3.67+(-0.43)+(-0.44)
3.67-0.43-0.44
3.24-0.44
<em><u>2.8 </u></em><em><u>Ans</u></em>
Answer: 1 1/2
Step-by-step explanation: So you have 9 pounds and you have to distribute it out between 6 bags, so 9 divided by 6 you get 1 1/2 and so 1 1/2 pounds of sand go into each small bag
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:
Equation of line through (
) having undefined slope is given by
where α =90°
Now ,it is given that line passes through (97, 93)
So , equation of line is
→ 
= tan 90°
As, tan 90°=1/0
→ (x-97)×1= (y-73)×0
→ x-97 =0
→ x=97 , which is the required equation of line.
Charges 0.50 per mile with a 5 dollar surcharge. Spending at most 30 dollars, the equation would be:
0.5x+5
30
To find how many miles they can travel/the solution, solve the inequality:
Subtract 5 from both sides.
Divide both sides by 0.5.
They can travel (at most) 50 miles.
Hope this helps :)
