Answer: The waiting time will be 32 minutes when 240 people in line.
Step-by-step explanation:
Let us assume that the waiting time is directly proportional to the number of people in the queue.
Equation of direct proportion between variables x and y : ![\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_1%7D%7By_1%7D%3D%5Cdfrac%7Bx_2%7D%7By_2%7D)
Put
to find
.
![\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B150%7D%3D%5Cdfrac%7Bx_2%7D%7B240%7D%5C%5C%5C%5C%5CRightarrow%5C%20x_2%3D%5Cdfrac%7B20%7D%7B150%7D%5Ctimes240%5C%5C%5C%5C%5CRightarrow%5C%20x_2%3D32)
Hence, the waiting time will be 32 minutes when 240 people in line.
Answer:
We conclude that the area of the right triangle is:
![A\:=p^2-2p-3](https://tex.z-dn.net/?f=A%5C%3A%3Dp%5E2-2p-3)
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
![=\frac{1}{2}\left(p+1\right)\left(2p-6\right)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%28p%2B1%5Cright%29%5Cleft%282p-6%5Cright%29)
Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1
![=\left(p+1\right)\left(p-3\right)](https://tex.z-dn.net/?f=%3D%5Cleft%28p%2B1%5Cright%29%5Cleft%28p-3%5Cright%29)
![\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3AFOIL%5C%3Amethod%7D%3A%5Cquad%20%5Cleft%28a%2Bb%5Cright%29%5Cleft%28c%2Bd%5Cright%29%3Dac%2Bad%2Bbc%2Bbd)
![=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)](https://tex.z-dn.net/?f=%3Dpp%2Bp%5Cleft%28-3%5Cright%29%2B1%5Ccdot%20%5C%3Ap%2B1%5Ccdot%20%5Cleft%28-3%5Cright%29)
![=pp-3p+1\cdot \:p-1\cdot \:3](https://tex.z-dn.net/?f=%3Dpp-3p%2B1%5Ccdot%20%5C%3Ap-1%5Ccdot%20%5C%3A3)
![=p^2-2p-3](https://tex.z-dn.net/?f=%3Dp%5E2-2p-3)
Therefore, we conclude that the area of the right triangle is:
![A\:=p^2-2p-3](https://tex.z-dn.net/?f=A%5C%3A%3Dp%5E2-2p-3)
Hence, option A is correct.
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
Answer:
Mary is correct we don’t know the temperature but it can be implied that one is 20 and the other is -20 because of absolute value which is the distance a number away from zero that means that you have two answers or two days in this case that both have an absolute value of 20
Step-by-step explanation:
Answer:
What's the picture?
If you provide the picture of the graph I can help