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3 years ago

11

in 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt

moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.

1 answer:

katen-ka-za [31]3 years ago

8 0

answer:

how many can are needed to move?

Step-by-step explanation:

You might be interested in

Write a quadratic equation having the given numbers as solutions. -7 and -5

AlexFokin [52]

Answer:

x²+12x+35

Step-by-step explanation:

in factored form it would just be

(x+7)(x+5)=0

expand this

x²+12x+35=0

6 0

3 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

Does anyone know the answer to these two problems?

Nady [450]

Answer:

8) -8, -9

9) 4, $\frac{1}{2}$

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $x$ such that the polynomial becomes zero. $i.e., y = 0$ .

We use the following formula to determine the solutions of a quadratic equation of the form: $ax^2 + bx + c = 0$

$\implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this equation, $a = 1; b = 12; c = 27$

Substituting in the formula, we have:

$x = \frac{-12 \pm \sqrt{144 - 108}}{2}$

$\implies x = \frac{-12 \pm 6}{2}$

Taking 2 common outside we get:

$x = - 6 \pm 3$

Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)}$

$\implies x = \frac{9 \pm 7}{4}$

The values of x = 4, $\frac{1}{2}$ .

Hence, the answer.

8 0

3 years ago

Which equation show you how to find 16-9?

Setler79 [48]

16-9=-7 nhbjjkljlhgcfgdfcjjjklhgfch;ljkhgfdfchk;klhjgf

6 0

3 years ago

For his long distance phone service, Alonzo pays a $6 monthly fee plus 8 cents per minute. Last month, Alonzo's long distance bi

kondor19780726 [428]

Answer:

Alonzo was billed for 111 minutes.

Step-by-step explanation:

In this situation, lets let x = minutes.

0.08x+6=14.88

Subtract the 6 from both sides of the equation.

0.08=8.88

x=8.88÷0.08=111

7 0

3 years ago

Read 2 more answers