<span>A) 2x=96-14y
B) 9x=40-14y
Rearranging algebraically
</span>
A) 2x <span>+14y = 96
B) 9x </span><span>+14y
= 40</span>
Multiplying equation A by -1
A) -2x <span>-14y = -96 Then adding it to equation B
B) 9x </span><span>+14y
= 40
7x = -56
x = -8
</span><span>2*-8 = 96 -14y
-16 -96 = -14y
-112 = -14y
y = 8
</span>
Answer:
577.81
Step-by-step explanation:
A = P(1 + (r/n))^n * t
A = 500 ( 1 + .075)^2
A = $577.81
-7(z - 6) = -70
-7z + 42 = -70
- 42 -42
-7z = -112
-7z/-7 = -112/-7
z = 16
Answer: z = 16
Answer:
getting the queen is smaller
5/8
Step-by-step explanation:
There are 4 queens in a 52 card deck
P(queen) = 4/52 = 1/13
There are 12 pairs socks, 3 of which are grey
P(grey socks) = 3/12 = 1/4
1/13 <1/4
So getting a queen is smaller
The possible outcomes
8 +0 9+0 10+0 <em> 11+0</em>
8+1 9+1 <em> 10+1 11+1</em>
8+2<em> 9+2 10+2 11+2</em>
<em>8+3 9+3 10+3 11+3</em>
There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)
P (bedtime later than 10) = 10/16 = 5/8
Pls. see attachment.
We need to solve for the angles of the smaller triangle in
order to solve for the angle of the larger triangle which would help us solve
the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right
triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to
solve for the measurement of the long leg which is the opposite of the 78
degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.