Once the cake is removed from the oven, it has been exposed to the room temperature of 70°F. After 10 minutes, the cake's temperature decreased to 200°F, which is 150°F cooler than it initially was (350°F). As for the what is asked, 90°F is 260°F cooler than its original temperature (350°F).
This problem can be expressed in a ratio:
10mins:150<span>°F = N:260</span><span>°F
where N is how long it will take for</span><span> cake to cool to 90°F
</span>150<span>°FxN=10x260
</span>150N=2600
N=2600/150
N=17.33
N<span>≈20 minutes
Thus, it takes approximately 20 minutes </span><span>for the cake to cool to 90°F</span>
Equation to find number's value: 
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as 
.
Three times the number is the same as 3n.
Twice the number plus 42 is the same as 2n + 42.
So, using the information we've gathered so far, we can create the equation that will provide us with n's value.
Equation:
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation 
, which is the same thing as the equation we were using.
Now add n and together to get 
.
After you do this, your equation should look like 
.
Now divide both sides by 
to get n's value.
n = 35
If we assume that point C is somewhere on segment AD, then,
AD = AC + CD
AD = (9x-12) + (4x+18)
AD = (9x+4x) + (-12+18)
AD = 13x+6 is the answer
Answer:
125/8
is the final answer
Step-by-step explanation:
1.transform the expression
2.calculate
3.(final answer)
