Answer:
75% bigger
Step-by-step explanation:
Let the first number be x and the second be y.
So:
And:
-----30% less than x
Substitute in
Cross multiply
Collect like terms
Make x the subject
So, the average is:
Rewrite as:
Express as percentage
This means that the average is 75% bigger than the second number
65/5=13-3=10 27-17=10
72/6=12-1=11 54-43=11
88/8=11-2=9 27-18=9
90/3=30-8=22 34-10=24
So, that makes "90 ÷ 3 − 8 _____ 34 − 10" not equal.
Hope this helps! Stay Safe!
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
Decimal: 1.4 (35 divided by 25 is 1.4)
Percentage: 140% ( move decimal point two spaces to the right)
