Factor this polynomial<br> 2x²+19x+24

A machine paints 34o toy boats im 3/4 of an hour how many boats can he make per hour

leonid [27]

Here, we can set up a proportion:

34 ÷ 3/4 = ? ÷ 1
34*1 = 34
34÷3/4 = the time needed to build one toyboat

34/3/4 = 45.3333333333

45.3 repeating is not a whole number, so we need to approximate.

45 is the closest whole number,

So.. a machine can paint 45 toy boats per hour.

I really hope that helped! :)

7 0

2 years ago

the price of the a tablet was increased from $180 to $207. by what percentage was the price of the tablet increased?

mixas84 [53]

207-180=27
27/180= .15
It was increased by 15%.

3 0

2 years ago

Read 2 more answers

What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo

stepladder [879]

$\huge{\boxed{y=-\frac{5}{6} x+4}}$

Parallel lines share the same slope, so the slope of the parallel line in this case must be $-\frac{5}{6}$ .

Point-slope form is $y-y_1=m(x-x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is any known point on the line.

Plug in the values. $y-(-1)=-\frac{5}{6} (x-6)$

Simplify and distribute. $y+1=-\frac{5}{6} x+5$

Subtract 1 from both sides. $\boxed{y=-\frac{5}{6} x+4}$

6 0

2 years ago

Read 2 more answers

Youth tickets(y) cost $2 for a ride, while adult tickets(x) cost $3. The amount of money earned is $54. If all the seats were fi

Paha777 [63]

There are no constants here. But we have x and y here.
We will create an equation which is:
2y+3x=54.
But we will also create a second equation which states the number of seats.
x+y=24.

Now we do the two-equation solving method.
2y+3x=54
-2(x+y=24)

2y+3x=54
-2x-2y=-48

x=6

To solve for y, plug in x into one of the original equations. Which one doesn't matter.

y+6=24
y=18

7 0

3 years ago

What is the side length, in inches, of the pets

tatiyna

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is $4x-5$ inches