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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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Consider the polynomial function f(x)=3x²+8x-4. Find f(2).
Triss [41]

Answer:

The value of polynomial for x = 2 that is f(2)  will be 32  

Step-by-step explanation:

We have given polynomial f(x)=3x^2+8x+4

We have to find the value of f(2)

We have to find the value of polynomial for x = 2

So for finding this value we have to just put x = 2 in polynomial

So f(2) will be f(2)=3\times 2^2+8\times 2+4=32

So the value of polynomial for x = 2 will be 32

5 0
3 years ago
The pyramid shown has a square base that is 32 centimeters on each side. The slant height is 24 centimeters. What is the lateral
masya89 [10]
L.S.A.=1/2pl where p represents the perimeter of the base and l the slant height.
L.S.A. = ½(4*32)(24)
L.S.A. = ½ (128)(24)
L.S.A. =1/2(3072)
L.S.A. = 1536 cm
6 0
3 years ago
Read 2 more answers
Which of the following is the graph of the quadratic function? y=x^2+4-12
tiny-mole [99]

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

x^2 + 4x -12 = 0

x^2 +6x - 2x -12 = 0

x (x + 6) -2(x + 6) = 0

(x-2)(x + 6) = 0

x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

5 0
3 years ago
A machine takes 2.8 hours to make 9 parts at that rate,how many parts can machine make in 28.0
BigorU [14]
The answer is 90.
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4 0
3 years ago
12(1-x) = 36<br> what’s the equation
maks197457 [2]

Answer:

-12x + 12 = 32............................. the equation

Step-by-step explanation:

to determine the equation in this 12(1-x) = 36 expression is quite simple, you only need to open the bracket .

solution

12(1-x) = 36

12 - 12x = 32

-12x + 12 = 32............................. the equation

we  can further evaluate for the value of x  

-12x = 32 - 12

-12x = 20

divide both sides by the coefficient of x which is -12

-12x = 20

-12x/-12 = 20/-12

x =  -1.67

3 0
3 years ago
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