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leva [86]
3 years ago
13

Can someone help me work out this problem please?

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0
(d/2) + (f/4) = 6
4*[ (d/2) + (f/4) ] = 4*6 ... see note below
4*(d/2) + 4*(f/4) = 4*6
2d + f = 24
2d + f - 2d = 24 - 2d
f = 24 - 2d

The final answer is f = 24 - 2d

Note: I multiplied both sides by 4 because this is the LCD (lowest common denominator). Multiplying both sides by the LCD will clear out the fractions. 

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5/8 62.5/100 as a ratio (simplified)
Mandarinka [93]

Answer:

5:8, 25:1

Step-by-step explanation:

i guess this is ans

6 0
3 years ago
Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

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.

4 0
3 years ago
If y=(x^2-4)^5(3x+4)^4
alexira [117]

Answer:

y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)

Step-by-step explanation:

y=(x^2-4)^5(3x+4)^4

y'=[\frac{d}{dx}(x^2-4)^5](3x+4)^4+(x^2-4)^5[\frac{d}{dx}(3x+4)^4]

y'=10x(x^2-4)^4(3x+4)^4+(x^2-4)^5(12(3x+4)^3)

y'=10x(x^2-4)^4(3x+4)^4+12(x^2-4)^5(3x+4)^3

y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)

5 0
2 years ago
A kite in the shape of a rhombus has diagonals that are 25 in Long and 15 in Long what is the area of the kite
mylen [45]

Answer: 187.5

Step-by-step explanation:

formula for area of a kite is: diagonal 1 times diagonal 2 over 2. plug those numbers in and you’ll get your answer. 25 times 15 / 2.

5 0
3 years ago
Jasper has an annual salary of $71,000, and his company pays him twice a month. What is the gross income per paycheck that Jaspe
Elan Coil [88]
Divide $71,000 by 24 because there are 12 months in a year and he gets paid 2 times a month. I got $2,958.33
5 0
3 years ago
Read 2 more answers
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