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nignag [31]
3 years ago
13

You are making 10 tons of concrete that is 37.9% cement by mixing a 25% cement mixture with a 68% cement mixture.

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0
The 10 tons should have 37.9% cement.

Let the 25% mixture be x tons

Then the 68% mixture will be (10 -x) tons.

Using formula for mixtures:
Let p for percentage and w for weight in tons.

p₁w₁ + p₂w₂ = pw

25*x + 68*(10-x) = 37.9*10

25x + 680 - 68x = 379

680 - 43x = 379

680 - 379 = 43x

301 = 43x

43x = 301

x = 301/43

x = 7

Recall that x, was for the 25% mixture, 7 tons.

a) For the 68% mixture, = 10 - x = 10 -7 = 3 tons.

b) For the 25% mixture = x = 7 tons.  
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A survey was given asking whether people like dogs and/or cats. 153 said they like dogs 191 said they like cats 56 said they lik
lapo4ka [179]

Answer:

There were 362 people surveyed

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- A survey was given asking whether people like dogs and/or cats

# 153 said they like dogs

# 191 said they like cats

# 56 said they liked both cats and dogs

# 74 said they don't like cats or dogs

- We need to find how many people were surveyed

* <em>Lets find the number of who likes dogs only and the number who</em>

<em>  likes cats only </em>

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∴ The number who likes dogs only = 153 - 56 = 97

∴ The number who likes cats only = 191 - 56 = 135

- The total number of people were surveyed is the sum of the number

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  who doesn't like both

∵ The number who doesn't like dogs or cats is 74

∴ The total number = 97 + 135 + 56 + 74 = 362

* There were 362 people surveyed

7 0
3 years ago
I need the answer ASAP thank you very much!!!!!
umka21 [38]
HI THERE LET ME HELP U WITH YOUR QUESTION

**PERFECT SQUARES ARE POSITIVE INTEGERS**<span>
</span>THE NUMBERS CANNOT INCLUDE ITSELF AND ALWAYS SHOULD HAVE A ONE IN IT. 

2.89 AND 0.004 ARE PERFECT NUMBERS. THEY INCLUDE 1 AND THEY DONT INCLUDE ITSELF

HOPE IT HELPS  

 

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