Answer:
1200
Step-by-step explanation:
The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
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<em>Alternate solutions</em>
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200
Answer:
1. d
2. d
3. c
explanation
1. reflection, rotation, and dilations are all transformations
2. congruent shapes have to have the same shape and size, meaning they also have the same angle measures
3. sometimes, shapes may have the same area and perimeter but be different
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
Answer:
x= -1/3
y= -3 1/3
Step-by-step explanation:
Make both of them into y=Mx+b form
y=-x-3
y=(-x-7)/2
Substitute the x-3 in the first equation for the y in the second one.
x-3=(-x-7)/2
2x-6=-x-7
3x=-1
x=-1/3
Now that we have x, we can solve for y.
y=-x-3
y=-1/3-3
y=-3 1/3
C. is the answer because -159 is a rational number
