If 14 1 4 gallon of paint covers 13 1 3 of a wall, then how much paint is needed for the entire wall?

Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 60 minutes earlier than Car 2 and averages 40 mp

prohojiy [21]

Answer:

The two cars will be almost 188 miles far from each other.

Step-by-step explanation:

Travel Time for Car 1 = t = 3.5 hours

Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours

Average speed of car 1 = 40 mph

Average speed of car 2 = 50 mph

Distance traveled by Car 1 = 40*3.5 = 140 miles

Distance Traveled by Car 2 = 50*2.5 = 125 miles

As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:

altitude = a = 140

base = b = 125

Distance of cars after 3.5 hours = c = ?

According to Pythagoras theorem:

c^2 = a^2 + b^2

c^2 = 140² + 125²

c² = 19600+15625

c = √35225

c = 187.68

Almost 188 miles.

5 0

3 years ago

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul

kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola? namely, at what cost for how many bats?

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill$

6 0

3 years ago

Solve for z.<br> -P(51+z) = dz +84

Nataly [62]

The answer for Z is 47

8 0

3 years ago

12-1+17x4=?<br>help pls:((

marusya05 [52]

<h2>Answer✅ 79</h2>

6 0

3 years ago

Read 2 more answers

A stockbroker earns a base salary of 40000 dollar plus 5%of the total value of the stocks,mutual funds , and other investments t

lisabon 2012 [21]

Well his salary is $40,000 dollars.

$72,750 - $40,000 = $32,750

This means that 5% of the value of investments he had sold was equal to $32,750.

$\frac { 1 }{ 20 } \times I=32750\\ \\ 20\times \frac { 1 }{ 20 } \times I=20\times 32750\\ \\ \therefore \quad I=655000$

The stockbroker sold $655,000 worth of investments.

7 0

4 years ago