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2 years ago

A shipment of 5 boxes of toys weighed

Mathematics

1 answer:

Rus_ich [418]2 years ago

4 0

Answer:

Each box weighs 6.906 pounds.

Step-by-step explanation:

We know the total weight of the boxes. We also know how many boxes we have. To find the weight of one box, we want to divide the total weight by the total number of boxes.

34.53 / 5

= 6.906

Each box weighs 6.906 pounds.

Hope this helps!

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The given line passes through the points (0, −3) and (2, 3).

Alex Ar [27]

Well, parallel lines have the same exact slope, so hmmm what's the slope of the one that runs through (0, −3) and (2, 3)?

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& -3~) 
% (c,d)
&&(~ 2 &,& 3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-(-3)}{2-0}\implies \cfrac{3+3}{2-0}\implies 3$

so, we're really looking for a line whose slope is 3, and runs through -1, -1

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -1 &,& -1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=3[x-(-1)]
\\\\\\
y+1=3(x+1)$

8 0

3 years ago

Read 2 more answers

Please help! Will give Brainliest! Identify the axis of symmetry of y = ( x - 7 ) ( x + 1 )

inysia [295]

The axis of symmetry would be X=3

3 0

2 years ago

Read 2 more answers

The boundary lines for the system of inequalities is given in the graph.

diamong [38]

Answer:

region C

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

$\displaystyle y ≤ -x + 2$

0 ≤ 2 ☑ [We shade the portion of the graph that CONTAIN THE ORIGIN, which is the bottom portion.]

$\displaystyle y ≥ 2x - 3$

0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]

So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.

I am joyous to assist you anytime.

4 0

3 years ago

Read 2 more answers

4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation

Soloha48 [4]

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

4 0

2 years ago

Can someone graph this? I'll give brainliest.

vodomira [7]

It's nice of you to offer, but no thanks.

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define y as the total cost and x as the number of water bottles sold.

$y=1.5x$

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, x, gets you the total, y. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the amount of bottles and returns the total cost. Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x y

--------

0 0

1 1.5

2 3

3 4.5

4 6

5 7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.

7 0

3 years ago