we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.

$\bf \begin{cases} a+b=65\\ \boxed{b}=65-a\\ \cline{1-1} 60a+55b=3775 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{60a+55\left( \boxed{65-a} \right)=3775} \\\\\\ 60a+3575-55a=3775\implies 5a+3575=3775\implies 5a=200 \\\\\\ a=\cfrac{200}{5}\implies \blacktriangleright a = 40 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=65-a\implies }b=65-40\implies \blacktriangleright b=25\blacktriangleleft$

6 0

3 years ago

What are the discontinuities of the function f(x) = the quantity of x squared plus 2 x minus 24, all over 6 x plus 24.?

noname [10]

The discontinuities are x=-4. Because it is a fraction, you cannot divide by zero so if the denominator is set to equal zero, which it will if x=-4, the function will be be undefined

4 0

3 years ago

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance

Licemer1 [7]

Answer:

6.6h

Step-by-step explanation:

So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
330 miles divide by 50 miles per hour gives 6.6 hours

5 0

3 years ago