Answer:
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Step-by-step explanation:
9. 12 edges
Work: <u>4</u> horizontal edges on top, <u>4</u> horizontal edges on bottom, <u>4</u> vertical edges for sides
10. Ten-thousands place
Work: The 8 is highlighted. The order of places is: <u>ten-thousands</u>, thousands, hundreds, tens, ones
11. 10 4/5
Work: 54 ÷ 5 ——> 50÷5 = <u>10</u> with 4 left over and put into a fraction of <u>4/5</u>
12. 3,000
Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a <u>3</u>.
13. 0.45
Work: The pattern is +0.03 so 0.42+0.03=<u>0.45</u>
14. 54 cakes
Work: <u>6 eggs</u> per 1 cake • <u>9 cakes</u> = 6•9=54 eggs used
15. 378 desks in the school
Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school
Answer:
Each pound of chocolate chips costs $ 1.5 and each pound of walnuts cost $ 3.75 .
Step-by-step explanation:
Let, each pound of chocolate chips costs $ x and each pound of walnuts costs $ y.
Then, according to the question,
5x + 6y = 30 --------------(1) and,
3x + 2y = 12 ----------------(2)
Multiplying (2) by 3 we get,
9x + 6y = 36 ---------------------(3)
Deducting (1) from (3) we get,
4x = 6
⇒ x = 1.5 ----------------------(4)
From (4), putting the value of x in (2) , we get,
2y = 7.5
⇒ y = 3.75 ---------------------------(5)
Answer:
238
Step-by-step explanation:
It seems it should be the other way... . How soon will the puppy catch up with the kitten.
The way you have it the kitten will never catch the pup. There is already 180m between them so, the distance will only increase because the puppy runs faster than the cat.
If the puppy runs after the cat, will eventually catch up with it and can be calculated. Not the other way around.
If the pup runs after the cat, the distance between them will decrease and the pup will catch the cat.
RT = D kitten
RT = D+180 puppy
20T = D
25T = D + 180
Substitution
25T = 20T +180
5T = 180
T = 36s