Answer:

Step-by-step explanation:
Given that,
Renee has 1/4 yard of floral fabric.
She cuts it into 5 equal pieces.
We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

So, each new piece pf fabric is
.
Answer:
D is the answer
Step-by-step explanation:
We want a mixture of low-fat and whole milk to equal 32ounces
Therefore, we know one equation is:
l + w = 32
That 32 ounce mixture should be 2% butter fat
So the amount of butter fat we want is
2% of 32 = 0.64 ounces
At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.
therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.
The coefficients are just the percentages in decimal form
Due to the law of conservation of mass,
The addition of these two should yield the final amount of butter fat, meaning the other equation is:
0.01l + 0.0325w = 0.64
Angle is x. sup - adds up to 180. comp adds up to 90
180-x = 3(90-x)+40
180-x = 270-3x+40
180-x = 310-3x
180+2x = 310
2x = 130
x=65
Same-side interior angles, which are shown here, are supplementary, which means that they add up to 180 degrees.
5a + a = 180
6a = 180
a = 30 degrees
Hope this helps! :)