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4 years ago

Mom is 60 years old and daughter is half mom's age. How old was daughter when mom was 4 times her age?

Mathematics

1 answer:

rewona [7]4 years ago

4 0

Answer:

10 years old

Step-by-step explanation:

The difference in ages is 60 -30 = 30 years. When mom was 4 times daughter's age, the difference in their ages was 3 times the daughter's age.

The age difference was 30 years at that time, so the daughter was 10 years old.

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10x + 7y = –8 7x + 7y = –14

Georgia [21]

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

10x + 7y = - 8 → (1)

7x + 7y = - 14 → (2)

Subtract (2) from (1) term by term to eliminate y

(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

10(2) + 7y = - 8

20 + 7y = - 8 ( subtract 20 from both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution to the system of equations is (2, - 4 )

4 0

3 years ago

Solve the system of linear equation 8X plus 5Y equals 18 and 6X plus Y equals -2 by using the linear Combination method Emmaus d

Hunter-Best [27]

$\text{The solution is } x = \frac{-14}{11} \text{ and } y = \frac{62}{11}$

Solution:

Given system of equations are:

8x + 5y = 18 ------- eqn 1

6x + y = -2 -------- eqn 2

Multiply eqn 2 by -5

-30x -5y = 10 ----- eqn 3

Add eqn 1 and eqn 3 so that y terms gets eliminated

8x + 5y = 18

-30x -5y = 10

( + ) --------------

-22x = 28

Divide both sides by -22

$x = \frac{28}{-22}\\\\x = \frac{-14}{11}$

Substitute the x value in eqn 1

$8(\frac{-14}{11}) + 5y = 18\\\\\frac{-112}{11} + 5y = 18\\\\5y = 18 + \frac{112}{11}\\\\5y = \frac{310}{11}\\\\y = \frac{62}{11}$

$\text{Thus the solution is } x = \frac{-14}{11} \text{ and } y = \frac{62}{11}$

8 0

3 years ago

Select the two values of x that are roots of this equation.

VMariaS [17]

Answer:

x = 2, -3

Step-by-step explanation:

$x^2 + 2x- 6 = 0\\=>x^2 +3x - 2x- 6 = 0\\=>x(x+3) - 2(x +3) = 0\\=> (x-2)(x+3) = 0\\\\$

(x-2) = 0 or (x+3) = 0

x = 2 or x = -3

Thus, two values of x are x = 2, -3

Note: The options given are incorrect.

4 0

3 years ago

Someone help!! 20 points to whoever can help me with this problem and give me the correct reasoning

MrMuchimi

Answer:

Step-by-step explanation:

180-(60+40)=180-60-40=180-100=80

4 0

3 years ago

Read 2 more answers

I dont get it i need help

SOVA2 [1]

Answer:

Perpendicular means like making 4 right angles at the intersection, right? So do a light directly upwards through line t from point a. And for 2, do a line from point a to the center of BC, B to the center of AC, and C to the center of AB

Step-by-step explanation:

7 0

2 years ago