30 inches to 24 inches <br><br><br> Precent change

What is the solution to the system of equations?

sukhopar [10]

Answer:

(x, y) = (-3, -6)

Step-by-step explanation:

The second equation can be used to write an expression for y:

... -5x -21 = y . . . . . . . add y-21 to both sides

This expression can be substituted for y in the first equation:

... 6 = -4x +(-5x -21)

... 27 = -9x . . . . . add 21, collect terms

... -3 = x . . . . . . . divide by -9

Using this value of x in the expression for y, we find ...

... -5(-3) -21 = y = -6

The solution is x = -3, y = -6.

8 0

3 years ago

PLEASE HELP =(

Elena-2011 [213]

Let X = pounds of Bermuda grass needed.

(20 pounds bahia grass x $6.30) + ( X x $3.65) = (20 +X) x $4.90

Simplify:

126 + 3.65X = 98 + 4.90X

Subtract 3.65X from each side:

126 = 98 + 1.25X

Subtract 98 from each side:

28 = 1.25X

Divide both sides by 1.25

X = 28 / 1.25

X = 22.4 pounds required.

4 0

2 years ago

Divide £72 into the ratio 4 : 5.

algol13

Answer:

£32 : £40

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£72 ÷ 9 = £8 ← value of 1 part of the ratio, then

4 parts = 4 × £8 = £32

5 parts = 5 × £8 = £40

Then

£72 in the ratio 4 : 5 is £32 : £40

4 0

2 years ago

I need the answer for this exact question

denis23 [38]

Answer:

$y=\frac{7}{2}x-20$

Step-by-step explanation:

Let the equation of the line be $y-y_1=m(x-x_1)$ where, 'm' is its slope and $(x_1,y_1)$ is a point on it.

Given:

The equation of a known line is:

$y=-\frac{2}{7}x+9$

A point on the unknown line is:

$(x_1,y_1)=(4,-6)$

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is $m_1=-\frac{2}{7}$

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

$m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}$

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

$y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20$

The equation of a line perpendicular to the given line and passing through (4, -6) is $y=\frac{7}{2}x-20$ .

3 0

2 years ago

If you add 0.5, then and half of that, then add half of that again, (and so on) will you ever get to 1?

UkoKoshka [18]

Answer:

only after you have done this an infinite amount of times, so, no not really.

Step-by-step explanation:

This is a geometric series also used in Zeno's paradox: Achilles and the tortoise.

3 0

3 years ago

30 inches to 24 inches Precent change