Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= 
Simplest form of
= 
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer:
32
Step-by-step explanation:
2x2=4/2=2 small triangle, 2x2=4 small square, 6x2/2=6 med. triangle, 6+2+2=10x4=40/2=20
2+4+6+20=32
Some definitions:
Sum - the result of adding values together
Term - a single number or variable (includes variables multiplied by numbers)
Factor - a number or variable that divides another number or expression evenly
Quotient - the result of dividing values by one another
Coefficient - a numerical or constant value often in front of a variable
In your equation:
Sum - (5x + 1)
5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.
Term - (5x, 1, 3y)
All terms given above are applicable.
Factor - (9)
9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression
Quotient - (9(5x + 1) / 3y)
The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.
Coefficient - (5, 3)
Both 5 and 3 are numbers in front of variables.
Hope this helps!! :)
Try adding 11, 11 times. It is a long process, but it should give you what you are looking for. First. to break it down add 10 eleven time, then after you get 110 add the remaining 11.
Justin wants to paint his room. So he put together some
quotations from two different painters. The first painter's total charge was
based on the number of hours (denoted as x) worked was modeled as
f( x ) = 70 + 5 x, while that of the second painter was
g( x ) = 30 + 15 x. Justin knows that it will take more than 4
hours to decorate the house so he was certain to go with the first painter
whose cost is low-priced when the number of hours is above 4 hours.