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3 years ago

A T-shirt launcher can launch 105 shirts in 20 minutes. What is the rate in shirts per hour?

Mathematics

2 answers:

Margarita [4]3 years ago

4 0

The T-shirt launcher can launch 315 shirts per hour.

olasank [31]3 years ago

4 0

Answer:

315 shirts launched per hour

Step-by-step explanation:

you multiply 105 by 3 because theres 60 minutes in a hour

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Point A is at (2, -8) and point C is at (-4, 7).

Dahasolnce [82]

Answer:

(-2, 2)

Step-by-step explanation:

Given:

Point A is at (2, -8) and point C is at (-4, 7)

Difference of coordinates:

Δx = 2 - (-4) = 6
Δy = - 8 - 7 = - 15

The ratio of AB to AC is 2:1. So:

AB = 2*AC/3 and BC = AC/3

Then coordinates of point B should be 2/3 from the point A:

x = 2- 6*2/3 = 2 - 4 = -2
y = - 8 - (-15)*2/3 = -8 + 10 = 2

So point B has coordinates of (-2, 2)

7 0

3 years ago

Which region represents the solution to the given system of inequalities?

Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of inequalities:

$\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.$

We need to graph the lines.

We have the line:

$x+3y=-3$

Solving for "y", we get:

$3y=-x-3\\\\y=\frac{1}{3}x-1$

Knowing that $m=-\frac{1}{3}$ and $b=-1$ , we can graph it.

Since the symbol is $\leq$ , the line must be solid.

The other line is:

$x=3$

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is $\geq$ , the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

$0+3(0)\leq-3\\\\0\leq-3$

This is false, therefore, we must shade the half that does not contain this point.

$0\geq 3$

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0

3 years ago

Read 2 more answers

Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost

-BARSIC- [3]

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

7 0

2 years ago

Read 2 more answers

A customer left a 15% tip for a meal that cost $64. What was the total amount the customer paid for the meal and tip?

Inessa05 [86]

Answer:

73.6

Step-by-step explanation:

64x15%=9.6

9.6+64=73.6

4 0

2 years ago

In physics, if a moving object has a starting position at so, an initial velocity of vo, and a constant acceleration a, the

emmasim [6.3K]

Answer:

$a=\frac{2S -2v_ot-2s_o}{t^2}$

Step-by-step explanation:

We have the equation of the position of the object

$S = \frac{1}{2}at ^2 + v_ot+s_o$

We need to solve the equation for the variable a

$S = \frac{1}{2}at ^2 + v_ot+s_o$

Subtract $s_0$ and $v_0t$ on both sides of the equality

$S -v_ot-s_o = \frac{1}{2}at ^2 + v_ot+s_o - v_ot- s_o$

$S -v_ot-s_o = \frac{1}{2}at ^2$

multiply by 2 on both sides of equality

$2S -2v_ot-2s_o = 2*\frac{1}{2}at ^2$

$2S -2v_ot-2s_o =at ^2$

Divide between $t ^ 2$ on both sides of the equation

$\frac{2S -2v_ot-2s_o}{t^2} =a\frac{t^2}{t^2}$

Finally

$a=\frac{2S -2v_ot-2s_o}{t^2}$

5 0

3 years ago