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aleksley [76]
3 years ago
6

Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How o

ld is each?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer: AI is 8, Rob is 18, and Bert is 36

Step-by-step explanation:

Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!

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Sergeu [11.5K]
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6 0
3 years ago
For what values of b are the vectors \langle -46, b, 10 \rangle and \langle b, b^2, b \rangle orthogonal
Jet001 [13]

Answer:

b = 6 or b = -6 (non-zero vectors)

b = 0 (zero vector)

Step-by-step explanation:

Two vectors \vec{a}=\langle a_1,a_2,a_3\rangle and \vec{b}=\langle b_1,b_2,b_3\rangle are orthogonal if their dot product is equal to 0, or in other words

a_1\cdot b_1+a_2\cdot b_2+a_3\cdot b_3=0

In your case,

\vec{a}=\langle -46, b, 10\rangle\\ \\\vec{b}=\langle b,b^2,b\rangle

Hence, if vectors a and b are orthogonal, then

-46\cdot b+b\cdot b^2+10\cdot b=0\\ \\-46b+b^3+10b=0\\ \\b^3-36b=0\\ \\b(b^2-36)=0\\ \\b(b-6)(b+6)=0\\ \\b=0\text{ or }b=6\text{ or }b=-6

Note, then if b = 0, then \vec{b}=\langle 0,0,0\rangle and zero-vector is orthogonal to any other vectors.

Thus, b = 6 or b = -6.

7 0
3 years ago
#46 will give brainliest <br><br>​
Aleksandr [31]

Answer:

50

Step-by-step explanation:

This is the equation:
x = 5 + 3y
We know that:
x - y = 35

Meaning we only need to solve for y now:

(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15

Meaning the final formula is

x = 5 + 3(15)
x = 50

7 0
2 years ago
Read 2 more answers
Can someone pls help?
garik1379 [7]

Answer:

41

Step-by-step explanation:

4x +5 = 7x -22

5 = 3x -22

27 = 3x

x = 27/3

x = 9

4(9) + 5 = RS

36+ 5 = RS

RS = 41

6 0
3 years ago
Read 2 more answers
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