Answer:
- 2 and 7
Step-by-step explanation:
A polynomial P(x) divided by (x + h) has remainder f(- h) ← remainder theorem
P(x) divided by (x + 5) has remainder P(- 5) = - 2 ( from result given )
P(x) divided by (x - 3) has remainder P(3) = 7 ( from result given )
Answer:
6.25 litres
Step-by-step explanation:
ratio 1:4
25/4 = 6.25
4 * 6.25 = 25
1 * 6.25 = 6.25
= 6.25 litres of concentrate
<span>%Antifreeze=<span><span>V<span>Antifreeze</span></span><span>V<span>Fluid</span></span></span></span>
<span><span>V<span>Fluid</span></span>=<span><span>V<span>Antifreeze</span></span><span>%Antifreeze</span></span></span>
<span><span>V<span>Antifreeze</span></span>=<span>V<span>fluid</span></span>∗%Antifreeze</span>
I want to find the amount of antifreeze in a 15 quart solution with 30% antifreeze
<span><span>V<span>Antifreeze</span></span>=15∗0.30</span> =18/4 quarts of antifreeze
Similarly, I want to find the amount of antifreeze in a 15 quart solution with 35% antifreeze first.
<span><span>V<span>Antifreeze</span></span>=15∗0.35</span> = 21/4 quarts of antifreeze
<span>the difference between 21/4 and 18/4 is 3/4 quarts, which is the amount of pure antifreeze I've added in.
</span><span>
SO the V_fluid I replaced with 3/4 quarts of antifreeze is (3/4)/ 0.35</span>
Answer:
i. Cell phone cases
Airpods
ii. x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
iii. x = 12, and y = 8
Step-by-step explanation:
Amount of sale = $355.60
Cost of Cell phone cases = $10.98
Cost of Airpods = $27.98
Number of phone accessories sold = 20
1. The variables to be considered in the question are:
i. Cell phone cases
ii. Airpods
2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.
Thus,
x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
From equation 1,
x = 20 -y
substitute the value of x in equation 2
10.98(20 - y) + 27.98y = 355.60
219.6 -10.98y + 27.98y = 355.60
17y = 136.60
y =
y = 8.0353
So that,
x = 20 -y
= 20 - 8.0353
x = 11.9647
Thus,
x = 12, and y = 8
18/50= 36/100 => => => As a percentage: 36%