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Vitek1552 [10]
3 years ago
8

Write 51% as a fraction then write the fraction as a decimal number.

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
51/100 is the fraction
0.51 is the decimal
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Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
Adam has some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among
kompoz [17]
2 candies for each kid

explanation- if 6+7= 13 then there is 6 kids and 6 divided by 3 kids is 2 candies

4 0
3 years ago
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Solve the equation: 98= 3y -4. Please help, please dont put a random answer........ you dont want that to happen to you if you a
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The answer is y=34. Hope this helps ;)
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What is the solution set?<br><br> A.) (0, -2)<br> B.) (2, 0)<br> C.) (7, 0)<br> D.) (5, 3)
max2010maxim [7]

Answer:

D.) (5, 3)

Step-by-step explanation:

Solution is where two lines intersect

Both lines intersect at x = 5 and y = 3

Answer

D.) (5, 3)

8 0
3 years ago
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents a
qaws [65]

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

5 0
3 years ago
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