Hello!
To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.
Before dividing, we need to convert the complex fraction into an improper fraction.
1 1/5 → 5 × 1 + 1 = 6/5
7 1/5 → 5 × 7 + 1 = 36/5
For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.
Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.
→
Therefore, the cookie factory made 6 batches of cookies yesterday.
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :

We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.

This simplifies to,


Hence the image is (2,2)
If something is 60% off, that means it is now going to be 40% of its original price because
100 - 60 = 40
To find final price multiply the percentage as a decimal by the price.
40% is 40/100 which as a decimal is 0.4
0.4 x 100 = $40
The pants will be 40 dollars.
Answer:
ok so this problem you are basically just rearranging it. you're going to want y by itself.
Step-by-step explanation:
let's start with the original equation: 5-y=1/3x +12
so first you have to move the five over, so you subtract 5 from both sides. -y=1/3x+12-5
then you subtract the 5 from the twelve since they're like terms: -y=1/3x+7
and finally you have to move the negative over. when you move the negative think of it like dividing negative one from both sides, everything on the other side has to get the negative.
so we're left with y=-1/3x-7
I hope this helps!