Answer for #1
Let the old price be
$
x
per liter. 10 liters would have cost a total of
$
10
x
.
The new price is
$
(
x
+
0.20
)
per liter. 10 liters would have cost
$
10
(
x
+
0.20
)
.
The total cost is
$
9.20
. So,
10
x
+
10
(
x
+
0.20
)
=
9.20
10
x
+
10
x
=
9.20
−
2
x
=
7.20
20
x
=
0.36
Thus, the old price was
$
0.36
per liter.
A= r2•a / 2
Central angle 90°
Radius 16 cm
Diameter 32cm
Sector Area 201 cm2
Arc Length 25.13cm
Chord Length 22.63cm
Hope this helps!!
Answer: 25 percent of the jar is filled with orange candies
Step-by-step explanation:
In the jar, there are 3 yellow candies, 3 blue candies, and 2 orange candies. This means that the total number of candies inside the jar would be the sum of the yellow, blue and orange candies. It becomes
3 + 3 + 2 = 8 candies.
The percent of the jar filled with orange candies would be expressed as
number of orange candies/total number of candies × 100
It becomes
2/8 × 100 = 25%
Option B:
Solution:
Take LCM of the denominators and Make the denominators same.
LCM of 16, 320, 1 = 320
All the denominators are same, so you can write in one fraction.
Do cross multiplication.
Add 9280 on both sides of the equation.
Subtract 20x on both sides of the equation.
Let y = f(x).
Hence Option B is the correct answer.
Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 1 → (1)
x + 4y = - 6 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = - 6 - 4y → (3)
Substitute x = - 6 - 4y into (1)
2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side
- 12 - 8y - 3y = - 1
- 12 - 11y = - 1 ( add 12 to both sides )
- 11y = 11 ( divide both sides by - 11 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 6 - 4(- 1) = - 6 + 4 = - 2
Solution is (- 2, - 1 )
