Solve each problem.
1.
two-thirds equals twelve over x
x = 18
x = 12
x = 36
x = 8
2.
six-elevenths equals eighty-four over x
x = 40
x = 120
x = 254
x = 154
3.
twenty-two miles over fifty-five hours equals twelve miles over h hours
48
30
45
22
Not sure please help me?
well I will do the last one
22/55 = 12/h
multiply both sides by the LCD which is 55 h
then
(22/55) (55 h ) = (12/h)(55 h)
or
22 h = 12 * 55
divide both sides by 11
2 h = 12 * 5
divide both sides by 2
h = 6 * 5
h = 30
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I have gone step by step to show you why.
You can just cross multiply which is the same thing in short hand:
22/55 = 12/h
is
22 h = 55 * 12
h = (55/22)*12 = (5/2)12 = 30
Thanks can you check the other ones? Is 1 A and 2 D?
1 A yes
2.yes
6/11 = 84/x
6 x = 11 * 84
x = 11*14 = 154
Thx
To solve the first problem, we need to find the value of x that makes the equation "two-thirds equals twelve over x" true.
To do that, we can cross multiply:
(2/3) * x = 12
Next, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, to isolate x:
(3/2) * (2/3) * x = (3/2) * 12
This simplifies to:
x = 18
Therefore, the value of x that satisfies the equation is 18.
Now let's move on to the second problem.
To solve the equation "six-elevenths equals eighty-four over x":
Cross multiplying gives us:
(6/11) * x = 84
Next, we need to isolate x by multiplying both sides of the equation by the reciprocal of 6/11, which is 11/6:
(11/6) * (6/11) * x = (11/6) * 84
This simplifies to:
x = 154
Therefore, the value of x that satisfies the equation is 154.
Finally, let's move on to the third problem.
In this problem, we are given the equation "twenty-two miles over fifty-five hours equals twelve miles over h hours."
To solve for h, we can cross multiply:
(22/55) * h = 12
Next, we can isolate h by multiplying both sides of the equation by the reciprocal of 22/55, which is 55/22:
(55/22) * (22/55) * h = (55/22) * 12
This simplifies to:
h = 30
Therefore, the value of h that satisfies the equation is 30.
So, the answers to the three problems are:
1. x = 18
2. x = 154
3. h = 30