Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

40x+20y= 360

x+y=14

Solve for y in each equation:

40x+20y = 360 x+y = 14 20y = -40x+360

$\frac{-20y}{20}$ = $\frac{-40x+360}{20}$

y = -2x+18

7 0

3 years ago

What is the value of x rounded to nearest tenth

Ivahew [28]

Answer:

6.5 cm

Step-by-step explanation:

Here, the tangent line squared is equal to the secant line times the secant line outside the circle.

That is 20.2² = 14.7 * (14.7 + 2x) --> it is 2x because the secant goes through the whole circle.

Simplify: 408.04 = 216.09 + 29.4x

Subtract: 191.95 = 29.4x

Divide: x = 6.528911565 ≈ 6.5 cm

5 0

3 years ago

Which angle forms a verticals pair with OSN? A : LSO B : LSM C : NSM D : LMS

xz_007 [3.2K]

a verticals pair with OSN

answer

B : LSM

4 0

3 years ago

Solve the system of equations. y = 2x y = x 2 – 15

inn [45]

Answer:

D. (–3, –6) and (5, 10)

Step-by-step explanation:

The system has equations:

$y=2x$ ...(1)

and

$y=x^2-15$ ...(2)

Equate both equations;

$x^2-15=2x$

Rewrite in standard form:

$x^2-2x-15=0$

We factor to obtain:

$(x+3)(x-5)=0$

By the zero product principle;

$(x+3)=0,(x-5)=0$

$\implies x=-3,x=5$

When x=-3, y=2(-3)=-6

This yields the ordered pair (-3,-6).

When x=5, y=2(5)=10

This yields the ordered pair (5,10).

The correct choice is D.

8 0

3 years ago