Convert all fractions to have the same denominator.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.
Answer:
B
Step-by-step explanation:
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Sam paid $ 124.032 as tax deduction each week.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.
It is given that
weekly earnings of Sam is $912
Tax deduction is 13.6 %
Let the amount of Tax deduction is represented by $x
Then the equation formed is
x = 13.6 % 912
x = 13.6 *912 /100
x = $ 124.032
Therefore Sam paid $ 124.032 as tax deduction each week.
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Answer:
The decimal number is 0.964
Step-by-step explanation:
we have
step 1
Multiply each fraction by the whole number
step 2
Convert each fraction in a decimal number
Remember
Move the decimal point to the left as many places as there are zeros in the factor.
Move the decimal point one step to the left (10 has one zero).
Move the decimal point two steps to the left (100 has two zeros)
Move the decimal point three steps to the left (1000 has three zeros)
step 3
Adds the number
Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.
<h3>What is the SSS Similarity Theorem?</h3>
The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.
Thus, in the image attached below, the ratio of the three corresponding sides of the pair of triangles are:
10/2.5 = 11/2.75 = 8/2 = 4
Therefore, the pair of triangles that we can prove to be similar using the SSS similarity theorem is the pair shown in the image attached below.
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