Answer:
An exponent of 3
Step-by-step explanation:
You calculate volume by multiplying the width x height x length.
In a cube, since all sides are equal, the equation of x³ can be used to determine the volume of a cube, where "x" = a side length.
Answer: x = 72
Step-by-step explanation: Although the problem is saying "X over 8", this really signifies that the <em>x</em> is being divided by 8 which is what a fraction is, numerator divided by a denominator.
Let's first undo what has been done. Since our variable is being divided by 8, we'll undo that by multiplying by 8 on both sides. It's important to remember, whatever you do on one side,
you <u><em>must</em></u> do to the other side.
If you look now, the 8 in the numerator and the 8 in the denominator will divide out and it will leave us with our variable which is <em>x</em>. Working on the other side now, 9 x 8 is equal to 72 so <em>x = 72</em> is our answer.
We can check our answer by plugging a 72 back into the original equation. So we have 72/8 = 9 which is a true statement
so our answer is correct.
Hope you can see my working that is attached below.
<span>the side length of the smallest square plate on which a 26-cm chopstick can fit along a diagonal without an overhang is
18.38 cm long (to 2 d.p.) or if you want a more accurate answer you can leave the answer in surds for as
13</span>
cm
Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:
Width = x
Length = 7x
Area = x(7x) = 7x^2
The coefficient 7 would mean that the length is 7 times longer than the width, x.
Step-by-step explanation:
Part A:
Let
be the number of mittens and
be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>