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MA_775_DIABLO [31]
3 years ago
7

Maths * Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 4 : 3 : 1 by weight. Hen

ry needs to make 120kg of concrete. He has 55kg of cement, 45kg of sand and 15kg of gravel. Which ingredient is Henry short of?
Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Step-by-step explanation:

Let r be a ratio useful in determining how much of each ingredient Henry needs:

4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.

4/8 of the total 120 kg must then be 60 kg made up of cement;

3/8                                 must then be 45 kg made up of sand; and

1/8                                   must then be 15 kg made up of gravel

His 55 kg of cement is 5 kg short of the 60 kg he needs.

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Type the missing number in this sequence:<br> C , 38, 28, 18, 8, -2, -12
VMariaS [17]

Answer:

48

Step-by-step explanation:

If you go in the opposite direction, you will notice that each time the numbers go up by ten. So if you counted ten up from 38 it would be 48!

Let me know if this helps! Bya!

8 0
3 years ago
There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a r
zhannawk [14.2K]

Answer:

12

Step-by-step explanation:

The first cave has 7 times more bats than the last cave.  So if the 45th cave has b bats, then the first cave has 7b bats.

There are 77 bats in every row of 7 caves.  So if there are 7b bats in the first cave, then there are 77−7b bats in caves 2 through 7.

Since there are also 77 bats in caves 2 through 8, that means cave #8 must have 7b bats.  Repeating this logic:

#1 = 7b

#2-#7 = 77−7b

#8 = 7b

#9-#14 = 77−7b

#15 = 7b

#16-21 = 77−7b

#22 = 7b

#23-28 = 77−7b

#29 = 7b

So the first 29 caves have 5(7b) + 4(77−7b) = 308 + 7b bats.

Now we do the same thing from the other end.  If cave #45 has b bats, then caves #39-#44 have 77−b bats.  And since caves #38-44 have 77 bats, then cave #38 has b bats.  Therefore:

#45 = b

#39-44 = 77−b

#38 = b

#32-37 = 77−b

#31 = b

So caves 31 through 45 have 3b + 2(77−b) = 154 + b bats.

Adding that to the first 29 caves, plus x number of bats in cave #30:

308 + 7b + x + 154 + b = 462 + 8b + x

We know this equals 490.

490 = 462 + 8b + x

28 = 8b + x

x is a maximum when b is a minimum, which is b = 2.

28 = 8(2) + x

x = 12

There are at most 12 bats in the 30th cave.

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY :)))
Tresset [83]
I would but I don’t know how to explain it all!
8 0
2 years ago
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6,300,000,000 = 6.3 x 1,000,000,000
Nonamiya [84]
No they are not

scientific notation requires writing the ' × 10^9' part as a 10 with an exponent
7 0
3 years ago
Read 2 more answers
−9(x + 6) + 60 = 13 − 10x
GREYUIT [131]

Answer:

X=7

Step-by-step explanation:

3 0
3 years ago
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