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BaLLatris [955]
2 years ago
5

The rectangular playground in tim's school is three times as long as it is wide. the area of the playground is 75 square meters.

what is the primeter of the playground?
Mathematics
1 answer:
qwelly [4]2 years ago
8 0
Let x be the width of the playground, then 3x is the length of the 
<span>playground

х * 3х = 75
3x</span>² = 75
x² = 25
x = 5 m (width)
5*3=15 m (length)

Perimeter = 2(5+15) = 2*20 = 40 meters.
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The area of a second soup can’s base is 5 pi inches squared. The can has a height of 10 inches. How would you use that informati
Ilia_Sergeevich [38]

Answer:

The amount of soup the can will hold is;

50π inches cubed = 157.08 inches cubed

Step-by-step explanation:

The amount of soup the can will hold is equal to the volume of the can.

Volume of the can = base area × height

Given;

Base Area = 5π inches squared

height = 10 inches

Volume of can = 5π × 10 = 50π inches cubed

The amount of soup the can will hold is;

50π inches cubed = 157.08 inches cubed

8 0
2 years ago
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Jamie and owen joined a monthly walking challenge at their youth center. jamie has already walked 120 minutes and plans to walk
sertanlavr [38]
Y=20x+120
y=30x

30x=20x+120
30x-20x=120
10x=120
x=12 days

y=30x
y=30(12)
y=360 minutes
3 0
1 year ago
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TWENTY POINTS!!! Baxter is thinking about buying a car for $18,500. The table below shows the projected value of two different c
Anika [276]
Part A: Linear function

explanation:
The table for the value of the two cars with time are given as follows;
Years Car 1 Car 2
1 18,500 18,500
2 17,390 17,500
3 16,500 16,346.6
Plotting the give data, we have;
From the plot of the data, the function that can be used to describe the values of both cars after a fixed number of years is a linear function

Hope this helps a bit
7 0
2 years ago
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Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6
zalisa [80]

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3)\\&#10;\\&#10;=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\&#10;\\&#10;=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is

The result 6 x^4 - x^3 - 19 x^2 + 2 x + 12   is a polynomial.


4 0
1 year ago
In 1970 the population of the United States was 203 million. Ten years later, in 1980, the population of the United States was 2
andrezito [222]

Answer:

The exponential function for the US population is:

y = 203\cdot e^{0.0107\cdot t}

Step-by-step explanation:

Let be supposed that US population can be modelled by means of the following exponential function:

y = A \cdot e^{B\cdot t}

Where:

t - Time, measured in years. Where t = 0 for 1970.

A - Initial population, in millions inhabitants.

B - Exponential rate constant, in years.

y - Population, in millions inhabitants.

Each constant is found hereafter:

A

203 = A \cdot e^{B\cdot 0}

203 = A \cdot 1

A = 203

B

226 = 203\cdot e^{B\cdot 10}

\frac{226}{203} = e^{10\cdot B}

10\cdot B = \ln \frac{226}{203}

B = \frac{1}{10}\cdot \ln \frac{226}{203}

B = 0.0107

The exponential function for the US population is:

y = 203\cdot e^{0.0107\cdot t}

4 0
2 years ago
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