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padilas [110]
2 years ago
7

Aloysius was 3 times as old as his son 8 years ago. How old is his son now if

Mathematics
1 answer:
Marina CMI [18]2 years ago
6 0

9514 1404 393

Answer:

  21

Step-by-step explanation:

8 years ago, both were 8 years younger, so the total of their ages would have been 68 -2×8 = 52. If the ratio of their ages was 1 : 3, then the son's age then was 1/(1+3) = 1/4 of the total. 1/4×52 = 13.

Now, 8 years later, the son's age is 13 +8 = 21.

__

Then, Aloysius was 3×13 = 39. Now, Aloysius is 39+8 = 47, and the sum of their ages is 21 +47 = 68, as required.

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X+y-z=5 -x-4y-8z=6 3x+5y-4z=-20
Juli2301 [7.4K]

Answer:

x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.

Step-by-step explanation:

 x+y-z=5             (a)

-x-4y-8z=6          (b)

3x+5y-4z=-20      (c)

Adding equations a and b:

-3y - 9z = 11       (d)

Now multiply equation b by 3:

-3x - 12y - 24z = 18        (e)

Adding  c and e:

-7y - 28z = -2      (f)  Multiply by 3 to give (g)

-3y - 9z = 11         (b)   Multiply by  -7 to give (h)

-21y - 84z = -6     (g)

21y + 63z = -77    (h)    Adding g and h:

-21z = - 83

z =  3.952

and y is found bt substituting in equation d:

-3y - 9(3.952) = 11

y = ( 11 + 9(3.952) / -3

= -15.52.

Now find x by substituting for y an z in equation a:

x - 15.52 - 3.952 = 5

x = 5 + 15.52 + 3.952

= 24.476.

3 0
3 years ago
100 students in a classroom like iPhone or Samsung mobile or both mobile. Out kf them, 40 both mobiles. It the ratio of number o
ladessa [460]

The number of students who like Iphone: 46

I hope that answers your question!

4 0
2 years ago
Someone do this and show the work !!! Please help :)
Romashka [77]

Answer:

17

Step-by-step explanation:

54 has 4 ones

and 5 tens

37 has 7 ones

and 3 tens

subtracting ones

7 ones are taken from 54

so along with the existing 4, 1 ten is decreased and another 3 ones are decreased resulting in 7 ones now

now 54 has 5-1= 4 tens

subtracting tens we get 4-3=1

Therefore 1 ten and 7 ones

⇒ 17

8 0
3 years ago
What are the coordinates of the vertex of the parabola described by the equation below? y = -7(x - 4)2 - 5
pochemuha
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)


7 0
3 years ago
Read 2 more answers
I have to solve a triangle i don't know hiw​
White raven [17]

Answer:

mmm but picture of the triangle

Step-by-step explanation:

6 0
3 years ago
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