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3 years ago

11

Juan unloads 29 bags of pine mulch from each of his fathers 2 trucks. Together, the truck holds 2,262 pounds of pine mulch. What

is the weight of each bag of pine mulch Juan unloads?

1 answer:

Tamiku [17]3 years ago

7 0

I think the weight is 78 pounds for each bag. I could be wrong.. I'm not sure. I did 2,262 divided by 29.

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Solve for y;-4 -3y>-10

Luden [163]

Answer:

y>2

Step-by-step explanation:

-4-3y>-10

-3y>-10+4

-3y>-6

y>-6/-3

y>2

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2 years ago

In the 30-60-90 triangle below, side s has a length of

mario62 [17]

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

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1 year ago

What is the median of the data set? 23 19 13 11 17 19<br> a. 17<br> b. 12<br> c. 18<br> d. 19

Lady bird [3.3K]

To find the median, first arrange from least to greatest.

11 , 13 , 17 , 19 , 19 ,23

The median is now between 17 and 19 which is 18.

Ur answer is C)

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2 years ago

If g(x)=x+1/x-2 and h(x) = 4 – x, what is the value of (gxh) (-3)

suter [353]

For this case we have the following functions:

$g (x) = \frac {x + 1} {x-2}\\h (x) = 4-x$

We must find (g * h) (x)

By definition we have to:

$(g * h) (x) = g (x) * h (x)$

So:

$(g * h) (x) = \frac {(x + 1) (4-x)} {x-2}$

Now, we evaluate the function at x = -3:

$(g * h) (- 3) = \frac {(- 3 + 1) (4 - (- 3))} {- 3-2}\\(g * h) (- 3) = \frac {(- 2) (4 + 3)} {- 5}\\(g * h) (- 3) = \frac {(- 2) (7)} {- 5}\\(g * h) (- 3) = \frac {-14} {- 5}\\(g * h) (- 3) = \frac {14} {5}$

Answer:

$(g * h) (- 3) = \frac {14} {5}$

3 0

2 years ago

The mass of each candy in a box is 5g. The mass of the empty box is 20g let T grams represent the total mass of the box and cand

grandymaker [24]

Answer:

$\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}$

Please refer to graph attached.

Step-by-step explanation:

Given that mass of each candy in the box is 5 gm.

Mass of empty box is 20 gm.

Total grams, $T = 5n + 20$

To find: A table of values and graph of the relation.

Solution:

The given equation is nothing but a Linear equation in two variables.

Let us try to create a table of values by putting some values of 'n' and then finding the values for Total grams 'T'.

Let us put $n = 0 \Rightarrow T =5\times 0 +20 = 20$

Let us put $n = 1 \Rightarrow T =5\times 1 +20 = 25$

Let us put $n = 2 \Rightarrow T =5\times 2 +20 = 30$

Let us put $n = 3 \Rightarrow T =5\times 3 +20 = 35$

Let us put $n = 4 \Rightarrow T =5\times 4 +20 = 40$

So, the table of values becomes:

$\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}$

We can see that the value of T is increasing with increasing values of 'n'.

Please refer to the attached image for the graph of given equation.

As it is a linear equation in two variables, it will be a straight line. It will be an increasing positive slope graph.

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2 years ago