Answer:
Step-by-step explanation:
Ratios can be of 2 types here:
Part to Part
and
Part to Whole
Part-to-Part ratios give the relationship between 2 distinct things/groups. Such as the ratio of male to female in a class, or ratio of water to sugar in a drink etc.
Part-to-Whole ratios give the relationship between one group/thing to the whole population. Such as the ratio of male to total students in a class, or the ratio of cups of sugar to total cups of drinks etc.
<u>Note:</u> If there are 2 parts in a population, we can essentially write 3 ratios. For example, the ratio of male to female in a class is 4 to 5. So in total there are 4+5 = 9 parts (whole). So we can say:
ratio of male to total population is 4 to 9
ratio of female to total population is 5 to 9
Also,
ratio of male to female (as stated before) is 4 to 5
3 ratios.
Answer:
One pair of gloves costs $3.75.
Step-by-step explanation:
Systems of equations
x=hats y=gloves
2x+3y=28.25
x+y=12.25
2(12.25-y)+3y=28.25
24.5+y=28.25
y=3.75
Solve for the variable y (move the x to the right of equal with changed sign)
M is the coefficient before the x and b is the known number
-3y = -12 - 6x
Since the y can't be negative, multiply every term for -1, therefore change their sign
3y = 6x + 12
To find y, divide both terms for 3

y = 2x+4
Therefore your answer is
y = 2x+4
Answer:
<h2>
3y + 2 = 8</h2>
Step-by-step explanation:
solve A
2y - 3 = 19
2y = 22
y = 11
solve B
3y + 2 = 8
3y = 6
<h2>
y = 2</h2>
solve C
4y - 4 = -4
4y = 0
y = 0
solve D
5y + 1 = 10
5y = 9
y = 9/5
Answer:
x = 2
Step-by-step explanation:
We can use the sine or cosine ratio to solve for x
Using the cosine ratio in the right triangle and the exact value
cos45° =
, then
cos45° =
=
=
( cross- multiply )
2x =
×
=
= 4 ( divide both sides by 2 )
x = 2