Answer:
8x + 6 + 4 = 3x - (2x + 4)
Step-by-step explanation:
When Gio applies the distributive property, the equation above is the result. Naturally, I look at the 1st parenthesis I see and start the 1st distributive property there first. The 2nd distributive property would be the other parenthesis where you multiply by -1, so you would get 8x + 6 + 4 = 3x - 2x - 4
Answer:
3 necklaces and 12 bracelets
Step-by-step explanation:
Bracelets = x +4
amount of necklace gold = 20*x
amount of gold in bracelet = 7*(x+4)
added together = 109 gm
20x + 7(x+4) = 109
20x + 7x+28 = 109
27x+28=109
-28 -28
27x= 81
/27 /27
x=3 necklaces
then bracelets = 3+4=12
Answer:
The answer is the third option from the top:
0, 0, 11, 15, 26, 32, 45, 46, 46, 46, 60, 71, 84, 88
Answer:
Step-by-step explanation:
For a triangle the area is

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
Answer: The correct option is
(E) 80,000.
Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to
of its capacity, the tank was then at
of its capacity.
We are to find the number of gallons of water that the tank hold when filled to capacity.
Let the tank can hold x gallons of water when filled to capacity.
Then, according to the given information, we have

Thus, the required capacity of the tank is 80,000 gallons of water.
Option (E) is CORRECT.