Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
Answer:
x = 22
Step-by-step explanation:
+ 2 = 6 ( subtract 2 from both sides )
= 4 ( square both sides to clear the radical )
x - 6 = 4² = 16 ( add 6 to both sides )
x = 22
Answer:
13 quarters ($3.25) and 12 dimes ($1.2) is 25 together ($4.45). Thats the closest I got without going over 25 dimes and quarters. Sorry
Answer:
y = - 5x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, thus
y = - 5x + c ← is the partial equation of the line
To find c substitute (2, 6) into the partial equation
6 = - 10 + c ⇒ c = 6 + 10 = 16
y = - 5x + 16 ← equation of line
Answer: the fraction of the whole pie that Rebecca ate is 1/15
Step-by-step explanation:
Let x represent the size or area of the whole pie. Maria ate 1/3 of the pie. This means that the amount of pie that maria ate is 1/3 × x = x/3
Her sister,Rebecca ate 1/5 of that. This means that Rebecca ate 1/5 of the amount that Maria ate. The amount that Rebecca ate will be expressed as 1/5 × x/3 = x/15
To determine the fraction of the whole pie that Rebecca ate, we will divide the amount that Rebecca ate by the size of the whole pie. It becomes
x/15/x = x/15 × 1/x
= 1/15
