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4 years ago

Can you help with #57 please

Mathematics

1 answer:

Hoochie [10]4 years ago

8 0

The mixed number in its simplest form would be 11 2/3
The improper fraction would be 35/3

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(PLEASS HELP ME ITS EASY) A pie crust calls for two cups of butter for each three cups of flour elliette is making enough crusts

hjlf

Answer:

5 1/3 cups

Step-by-step explanation:

4 0

3 years ago

Find an equation of the sphere with point P such that the distance from P to A(−2, 6, 2) is twice the distance from P to B(4, 3,

Sveta_85 [38]

Answer:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

Step-by-step explanation:

The distance from a point $P = (x,y,z)$ to another point $A = (a,b,c)$ is given by $((x-a)^{2} + (y-b)^{2} + (z-c)^{2})^{1/2}$ .

So, if the distance from P to A is twice the distance from P to B, we have an equality given by:

$((x+2)^{2} + (y-6)^{2} + (z-2)^{2})^{1/2} = 2*((x-4)^{2} + (y-3)^{2} + (z+1)^{2})^{1/2}$

If we power by 2 both sides of the equality to remove the square roots, we have:

$(x+2)^{2} + (y-6)^{2} + (z-2)^{2} = 4 * ((x-4)^{2} + (y-3)^{2} + (z+1)^{2})$

And solving every parenthesis and operating the similar terms, we have:

$(x^{2} + 4*x + 2) - 4*(x^{2} - 8*x + 16) + (y^{2} - 12 * y + 36) - 4*(y^{2} -6*y + 9) + (z^{2} -4*z+4) - 4*(z^{2}+2*z+1) = 0$

Operating and multiplying both sides by -1:

$(3*x^{2} - 36*x +62) + (3*y^{2} -12*y + 0) + (3*z^{2} -4*z + 0) = 0$

Giving as result:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

The sphere can be seen here: https://www.wolframalpha.com/input/?i=3*x%5E2+-+36*x+%2B+3*y%5E2+-12*y+%2B+3*z%5E2+-4*z+%2B+62+%3D+0

7 0

4 years ago

5tens and 13ones is equal?

Marta_Voda [28]

63
5 tens equals 50
13 ones equals 13
50 +13 = 63

7 0

3 years ago

Read 2 more answers

PLEASE HELP!

galina1969 [7]

- 23 and - 24

note that negative numbers are smaller than positive numbers.

The 2 negative numbers in the list are - 23 and - 24

and their sum = - 23 + (- 24 ) = - 23 - 24 = - 47

5 0

4 years ago

1/10 divided by 5 help help help help help

kogti [31]

Answer:

$\huge{ \boxed{ \sf{ \frac{1}{50}}}}$

Step-by-step explanation:

$\bigstar{ \sf{ \: \frac{1}{10} \div 5}}$

$\text{Step \: 1} :$ If any number or fraction is divided by a fraction or number, we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

$\mapsto{ \sf{ \frac{1}{10} \times \frac{1}{5}}}$

$\text{Step \: 2} :$ To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominator for its denominator.

$\mapsto{ \sf{ \frac{1 \times 1}{10 \times 5}}}$

$\mapsto{ \sf{ \frac{1}{50}}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

8 0

4 years ago

Read 2 more answers