Answer:
14 =x
Step-by-step explanation:
We can use ratios to solve
5 loaves x loaves
------------- = ---------------
2.5 hours 7 hours
5 * 7 = 2.5 x
Divide by 2.5
35/2.5 = 2.5x/2.5
14 =x
4 * p + 6 = x
4 * p = x + 6
(4 * p) + 6 = x
p: Number of pencils per. box
x: Unknown value of total amount of pencils
+6: Pens in Kara's backpack
The simplified value of the exponential expression is 2.
<h3>
How to get the simplified expression?</h3>
Here we need to simplify the expression:
First, you need to remember that:
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
Then we can just write:
![16^{1/4} = \sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B16%7D)
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
![2^4 = 16\\\\\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=2%5E4%20%3D%2016%5C%5C%5C%5C%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
brainly.com/question/11464095
#SPJ4
Answer:
63.3125 pounds or 63lbs and 5 ounces
Step-by-step explanation:
Distance<-------------300--------------><-------------------x----------------->
⊕---------------------------------⊕--------------------------------------⊕ Express Freight Overtaking point
Speed 55 speed 30
Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:
Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:
Time (freight) = x/30 and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;
55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.
