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qaws [65]
2 years ago
11

Dave is a builder. Yesterday he made mortar mix. He used 24kg of sand and 5kg of cement. Today he needs to make the same type of

mortar mix, but he will use 36kg of sand. How much cement does he need?
Mathematics
1 answer:
polet [3.4K]2 years ago
4 0

Answer:

7.5 kg

Step-by-step explanation:

Ratio of sand to cement = 24kg : 5kg

Today he needs to make the same type of mortar mix, but he will use 36kg of sand.

Let

x = quantity of cement used

Ratio of sand to cement = 36 kg : x kg

Equate both ratios

24 kg : 5 kg = 36 kg : x kg

24/5 = 36/x

Cross product

24 * x = 5 * 36

24x = 180

x = 180/24

x = 7.5

x = quantity of cement used = 7.5 kg

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son4ous [18]

The fill up for the 3rd  step is y - 250 =  340x.

  • The fill up of the 5th step is x = \frac{y-250}{340}
  • The fill up of the 6th step  is \frac{8750-250}{340} = 25 = x, \frac{8750-250}{340}= 34 = x
  • The justification for the 2nd step is subtraction PE.
  • The justification for the 4th step is division PE.

<h3>What is the simplification  about?</h3>

Note that:

y-250 = 250 + 340 x - 250

y = 250 + 340x.

Make x the subject of the formula:

y - 250 =  340x.

then y-250/340 = x

Then  x = \frac{y-250}{340}

The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:

y-250 = 250 + 340 x - 250

y= 250 + 340x - 250 + 250

Note that (-250 + 250) = 0

y = 250 + 340x.

Lastly, The fill up of the 6th step is substitution of the amount of money  saved and  then simplifying it.

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8 0
2 years ago
Please help !! <br><br> 25 points !!!
EastWind [94]

Answer:

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8 0
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Sveta_85 [38]
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2 years ago
Add then divide.<br> Evaluate<br> (7.3 X 10) + (2.4 X 107)<br> (4 X 104)
Deffense [45]

Answer:

6.0 x 10^2

Step-by-step explanation:

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40000

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2 years ago
Calculați aplicând distributivitatea înmulțirii fata de adunare și de scădere
solmaris [256]

Răspuns:

7/5;

2 întreg 5/12

Explicație pas cu pas:

6/7 × (2 numere întregi și 5 / 6-1 numere întregi și 1/5)

6/7 * (2 5/6 - 1 1/5)

6/7 * (17/6 - 6/5)

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1/1 * 7/5

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= 2 întreg 10/24

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4 0
2 years ago
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