To solve the set of equations given above, we can use the substitution method where we substitute one equation to the other and solving for one variable. We do as follows:

<span>0.4x - 0.1y = 2
x = 5 + 0.25y

0.2x + 0.5y = 1
</span>0.2(5 + 0.25y)+ 0.5y = 1
y = 0
x = 5

Therefore, the correct answer from the choices is option A, (5,0).

6 0

3 years ago

Read 2 more answers

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

cupoosta [38]

Answer:

answer it s 12. just put the value

5 0

3 years ago

A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger

kakasveta [241]

Hello!

You can use the Pythagorean Theorem to solve this

$a^{2} + b^{2} = c^{2}$

c is the hypotenuse
a and b are the legs

Put in the values you know

$1.5^{2} + b^{2} = 1.7^{2}$

Square the numbers

$2.25+ b^{2} =2.89$

Subtract 2.25 from both sides

$b^{2} =0.64$

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!

6 0

3 years ago

A family swimming pool holds 61 m3 of water. It loses 0.27m3 of water to evaporation each day. This situation can be represented

Bezzdna [24]

Answer:

The answer to your question is: when x = 100 days, y = 34 m³

Step-by-step explanation:

Data

Volumen = 61 m³

Loses 0.27 m³ each day

Equation y + 0.27x = 61

when x = 100, y = ?

Process, just substitute x in the equation and solve it for y

y + 0.27(100) = 61

y + 27 = 61

y = 61 - 27

y = 34 m³

It means that after ten days, the swimming pool will only have 34 m³, because 27 m³ will have evaporated.

7 0

3 years ago