Y = -4x - 2
P (-16, -11)
a = -4, b = 0, c = -2
m = -a/b
m = -(-4)/(-2)
m = 4/(-2)
m = -2
y-yo = m(x-xo)
y-(-11) = -2[x-(-16)]
y+11 = -2(x+16)
y+11 = -2x-32
2x+y+11+32 = 0
2x+y+43 = 0
A outra questão é semelhante.
Answer:
4 parts
Step-by-step explanation:
If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3
To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:
12 * 1/3 = 12/3 = 4
You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.
Answer:
2 2/3
Step-by-step explanation:
For each of her snack bag, she can fill it with a 1/3 cup of pretzels
1/3 x 8 = 2 2/3 cups
Answer:
By calculating the profit that will keep the business going
Answer: The correct option is
(D) 60.
Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.
After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.
We are to find the number of stamps that Kaye had more than Alberto.
Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.
Then, according to the given information, we have
![(5x-10):(3x+10)=7:5\\\\\Rightarrow \dfrac{5x-10}{3x+10}=\dfrac{7}{5}\\\\\Rightarrow 25x-50=21x+70\\\\\Rightarrow4x=120\\\\\Rightarrow x=\dfrac{120}{4}\\\\\Rightarrow x=30.](https://tex.z-dn.net/?f=%285x-10%29%3A%283x%2B10%29%3D7%3A5%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B5x-10%7D%7B3x%2B10%7D%3D%5Cdfrac%7B7%7D%7B5%7D%5C%5C%5C%5C%5CRightarrow%2025x-50%3D21x%2B70%5C%5C%5C%5C%5CRightarrow4x%3D120%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B120%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%20x%3D30.)
So, the number of stamps that Kaye had = 5 × 30 = 150
and
the number of stamps that Alberto had = 3 × 30 = 90.
Therefore, the number of stamps that Kaye had more than Alberto is
![150-90=60.](https://tex.z-dn.net/?f=150-90%3D60.)
Thus, Kaye had 60 stamps more than Alberto.
Option (D) is CORRECT.