Answer:
(-1,0)(0,1)(3,4)
Step-by-step explanation:
Answer:
<em>The total percentage discount was 19%</em>
Step-by-step explanation:
<u>Percentages</u>
Suppose the original price of the shirt was x.
A discount of 10% reduces the price by:
10*x/100 = 0.1x
Thus, the discounted price is:
x - 0.1x = 0.9x
The second discount reduces the price by:
10*0.9x/100 = 0.09x
The new discounted price is:
0.9x - 0.09x = 0.81x
With respect to the original price, the last discounted price has been discounted by:
x - 0.81x = 0.19x
This means the total percentage discount was 0.19*100 = 19%.
The total percentage discount was 19%
Answer:
9) x = 89°
10) x = 118°
11) x = 145°
12) x = 40°
Step-by-step explanation:
9) 180-91 = 89
10) x = 118° because it is alternate interior to 118
11) x-30 = 115, x = 145
12) 4x-15 = 145, 4x = 160, x = 40
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
Answer:
Total cost=$25
Step-by-step explanation:
We can derive two expressions as follows;
Total cost for the First shipping company=Medium box charges+total additional charges
where;
Medium box charges=$20
Total additional charges=Charges per pound×number of additional pounds (n)
Total additional charges=1×n=n
replacing;
Total cost for the First shipping company=20+n....equation 1
Total cost for the second shipping company=Medium box charges+total additional charges
where;
Medium box charges=$15
Total additional charges=Charges per pound×number of additional pounds (n)
Total additional charges=2×n=2 n
replacing;
Total cost for the First shipping company=15+2 n....equation 2
Equating equation 1 and equation 2
15+2 n=20+n
2 n-n=20-15
n=5
Replace the value for n in equation 2
Total cost for the First shipping company=15+2 n....equation 2
Total cost=15+(2×5)=$25
