Let the number be x.
x/3 + 12 = 46
Subtract 12 from both sides and you will get:
x/3 = 34
Multiply both sides by 3:
x = 102
Answer: She would need 206 paper cups.
Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.
Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;
Volume of a cone = (πr²h)/3
Volume of a cone = (3.14 * 4² * 11)/3
Volume of a cone = 552.64/3
Volume of a cone = 184.2
If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;
Number of cups = Total volume/Volume of a cup
Number of cups = 37850/184.2
Number of cups = 205.48
Rounded to the nearest whole number, this becomes
Number of cups ≈ 206
Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.
Multiplying out the equation (x + 2)(4x - 3) and arranging in descending powers order gives us the quadratic form as; 4x² + 5x - 6
<h3>How to expand quadratic equations?</h3>
We want to expand the quadratic equation given as;
(x + 2)(4x - 3)
Multiplying out gives us;
4x² + 8x - 3x - 6
⇒ 4x² + 5x - 6
Thus, we can conclude that multiplying out the equation (x + 2)(4x - 3) and arranging in descending powers order gives us the quadratic form as; 4x² + 5x - 6
Read more about Quadratic equations at; brainly.com/question/1214333
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Answer:
its probably 2.0 or 0.2
Step-by-step explanation: x√=x−2
I really hope this helps i'm not that smart with this....
Answer:
1 pear = $0.75; 1 orange = $0.65
Step-by-step explanation:
(1) 3P + 4O = 4.85
(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)
3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms
6O = 3.90 Divide each side by 6
O = $0.65 Substitute into Eqn (1)
3P + 4×0.65 = 4.85
3P + 2.60 = 4.85 Subtract 2.60 from each side
3P = 2.25 Divide each side by 3
P = $0.75
Oranges cost $0.65 each and pears are $0.75 each
