Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as
6 people - $9.75,
24 people - $x.
Or as proportion,
![\dfrac{6}{24}=\dfrac{9.75}{x}.](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B24%7D%3D%5Cdfrac%7B9.75%7D%7Bx%7D.)
Find x:
![6\cdot x=9.75\cdot 24,\\ \\x=\dfrac{9.75\cdot 24}{6}=9.75\cdot 4=39.](https://tex.z-dn.net/?f=6%5Ccdot%20x%3D9.75%5Ccdot%2024%2C%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B9.75%5Ccdot%2024%7D%7B6%7D%3D9.75%5Ccdot%204%3D39.)
Answer: It would cost $39 to serve 24 people
Answer:
Factored form of the expression is ( x+ 8)(x + 6).
Step-by-step explanation:
The given expression is x² + 14x + 48.
We have to convert the expression in factored form
x² + 14x + 48 = x² + 8x +6x + 48
= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)
Therefore the factored form of the expression is (x + 8)(x + 6).
Answer:$0.25 per apple
$0.30 per orange
Step-by-step explanation:
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Answer:
You will have 48 blue streamers.
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
We have that:
For 12 blue streamers, there are have 9 gold streamers. How many blue streamers are there when there are 36 gold streamers?
12 blue - 9 gold
x blue - 36 gold
Applying cross multiplication
![9x = 36*12](https://tex.z-dn.net/?f=9x%20%3D%2036%2A12)
Simplifying by 9
![x = 4*12 = 48](https://tex.z-dn.net/?f=x%20%3D%204%2A12%20%3D%2048)
You will have 48 blue streamers.