Answer:
-4f
Step-by-step explanation:
Hi! Let's work on simplifying this.
f(4) = 4f
f(0) = 0, because anything x 0 is 0
f(-8) = -8f
Our equation is 4f + -8f
We can get rid of the plus negative...
4f - 8f
So we get:
-4f
Answer: For 3 Batches, 6 butter & 9 flour
For 5 Batches, 10 butter & 15 flour
Step-by-step explanation:
1 Batch = 2:3
So, whatever we times up by in batches we can do the same to the ingredients.
1 batch = 2:3
multiply 3
3 batches = 6:9
and so on…
<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
_____
All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
Answer:
x = 5/4
y = 7/4
Step-by-step explanation:
The smaller triangle and the larger one are similar, so the sides are proportional.
(x+5)/5 = 10/8
x/5 + 1 = 1/4 + 1 . . . . . divide it out
x/5 = 1/4 . . . . . . . . . . .subtract 1
x = 5/4 . . . . . . . . . . . . multiply by 5
___
For y, you can do exactly the same computations, replacing every instance of 5 with a 7. Then you get ...
y = 7/4
Answer:
No
Step-by-step explanation:
2/3 in decimal is .6 repeating
1/4 in decimal is 0.25
therefore we cannot conclude that 2/3 is equal to 1/4
