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MAVERICK [17]
2 years ago
13

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t

wo years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?
Mathematics
1 answer:
tatiyna2 years ago
6 0

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Whats the solution of x^2+4x-4=8
denpristay [2]

Answer:

x = 2, x = -6

Step-by-step explanation:

x^2+4x-4=8

Subtract 8 from both sides.

x^2+4x-4-8=8-8

Simplify.

x^2+4x-12=0

Solve with quadratic formula.

a = 1

b = 4

c = -12

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8 0
3 years ago
Find the maxium valve C=6x+2y. Subject to the following constraints x≥0, x≤5, y≥0, 4x-y≥1
Vadim26 [7]

Answer:

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

x\geq 0 ----> constraint A

x\leq 5 ----> constraint B

y\geq 0 ----> constraint C

4x-y\geq 1 ----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

C=6x+2y

For (0,0) -----> C=6(0)+2(0)=0

For (5,19) -----> C=6(5)+2(19)=68

For (5,0) -----> C=6(5)+2(0)=30

therefore

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8 0
3 years ago
Distance on graph
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The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.

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long leg of the triangle = length of the rectangle = 9 meters.

12² + 9² = c²
144 + 81 = c² 
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15 = c

Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters

Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.
6 0
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The answer is C The distance between the points (15,6) and (21,22)
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