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3 years ago

the sum of age of mabel and fred is 38 years,four years ago the age of mabel was the square of Fred age.Find their ages

Mathematics

1 answer:

Andrej [43]3 years ago

8 0

m+f=38

(f-4)^2=m-4

f^2=m IF their age is 30 combined

4^2=16

16=16

Fred is 4, Mabel is 16.

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Vlad1618 [11]

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area

Step-by-step explanation:

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3 years ago

one third of a land is on maize, a fifth of the remainder is on potatoes and the rest which is 0.5 ha is on beans. how much of t

disa [49]

Answer: $1250\ m^2$

Step-by-step explanation:

Let x= Total land.

Then for Maize = $\dfrac{x}{3}$

For Potatoes = $\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x$

For beans = $x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha$

$\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha$

1 ha = 10000.00 m²

0.9375 ha = 9375 m²

Land for potatoes = $\dfrac{2}{15}(9375) =1250\ m^2$

Hence, $1250\ m^2$ of the land is on potatoes.

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3 years ago

What is the value of e to five decimal places

notsponge [240]

Using google calculator you can see that

e≈2.7 1 8 2 8 182846.....

Fifth decimal place is bold 8.

When we round up to 5th decimal place, we get

e≈2.7 1 8 2 8.

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3 years ago

29. 83 – 2 · 4 = <br> 30. 3 · 6 – 4 · 2 = <br> 31. 3( 6 – 4) · 2 =

tester [92]

1) 21.83

2)173.8

3)12

Hope this helps :)

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3 years ago

Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball

dem82 [27]

Answer: Aproximately 2,525 balloons

Step-by-step explanation:

1. Find the volume of a balloon with the formula given in the problem, where $r$ is the radius ( $r=\frac{0.3m}{2}=0.15m$ ), then:

$V=4(0.15m)^{3}=0.0135m^{3}$

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

$V=0.0135m^{3}*1000=13.5L$

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

$(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs$

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

$\frac{75lb*1L}{0.0022lb}=34,090.90L$

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call $n$ ), you must divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

$n=\frac{34,090.90L}{13.5L}$

$n=2,525.25$ ≈2,525 balloons.

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3 years ago