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Mumz [18]
2 years ago
12

On a workday, the average decibel level of a busy street is 70 db, with 100 cars passing a given point every minute. if the numb

er of cars is reduced to 25 every minute on a weekend, what is the decibel level of the street?
Mathematics
1 answer:
nignag [31]2 years ago
4 0
70dB is represented by 100cars in 60sec. Therefore if the number of cats is reduced by 3/4 in the same amount of time(60s), then the decibel level will reduce by 3/4 also. So 70dB * .25= 17.5dB
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What is the solution to the equation
Dafna11 [192]
\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6

therefore
D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
Answer: t = -1.


7 0
3 years ago
Read 2 more answers
a fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a t
TiliK225 [7]

Answer:

x = the wight of the large box

y = the weight of the small box

A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.

3x + 2y = 73

A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.

8x + 4y = 177

by solving the system of equations

3x + 2y = 73

8x + 4y = 177

we find

x = 15.5 kg

y = 13.25 kg

the large box weights 15.5 kg.

the small box weights 13.25 kg.

5 0
2 years ago
Read 2 more answers
What is the domain of the ordered pair shown in the graph?
Margaret [11]

Answer:

D.

Step-by-step explanation:

It is the only one that contains all the x-values of the points. (Domain is the set of x-values).

6 0
1 year ago
Sandi buys 2 fewer packages of pencils than p packages of pens. Pencils costs $2.45 per package and pens costs $3 per package. W
Ilya [14]
I think its B Because u have the total of pencils and how much they cost now u need to how know many pins you have to know how many they have in total
3 0
3 years ago
At what speed in miles per hour will a bicycle travel if the rider can cause the 26-inch diameter wheel to rotate 90 revolutions
Sati [7]
26' wheel @ 90 rpms = 2,340 inches / min   (26 x 90)

2,340 inches / min = 140,400 inches / hour  (2,340 x 60)

140,400 inches / hour = 11,700 feet / hour   (140,400 / 12)

11,700 feet / hour = approx. 2.216 miles / hour   (11,700 / 5,280)
8 0
3 years ago
Read 2 more answers
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