Their is 16 ounces in each pound so that 16 x 2= 32+9
You're answer is 41
Final result :
9y - 17z - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
1
— • (27y - 51z - 6)
3
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
27y - 51z - 6 = 3 • (9y - 17z - 2)
Final result :
9y - 17z - 2
Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
Answer:
1500 pot holders
Step-by-step explanation:
32×48=1536 so it's about 1500 pot holders because 1536 it's closet to 1500
Answer: 216
Step-by-step explanation:
The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, we need to find the multiples of 24 and 54 (multiples of 24 = 24, 48, 72, 96 . . . . 216; multiples of 54 = 54, 108, 162, 216) and choose the smallest multiple that is exactly divisible by 24 and 54, i.e., 216.