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Tpy6a [65]
3 years ago
7

A rectangular lawn measuring 8m by 5m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flow

er bed is 154^2. What is the width of the flower bed?
Mathematics
1 answer:
Fed [463]3 years ago
4 0

Answer:

10.68 m

Step-by-step explanation:

<u>Step 1: Area of flower bed</u>

<em>Uniform width means that all sides are the same which makes it a square.</em>

Area of flowerbed = L²

<u>Step 2: Area of rectangular lawn</u>

Area of rectangular lawn = Length x width

Length = 8m

Width = 5m

Area of rectangular lawn = 8 x 5

Area of rectangular lawn = 40m

<u>Step 3 : Calculate the width of the flower bed</u>

Combined Area = 154 m²

Area of rectangular lawn + Area of flower bed = Combined Area

40 + L² = 154

L² = 154

L = √114

L = 10.68 m

Therefore, the width of the flower bed is 10.68 m

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Use words to write a comparison statement for the problem above.
pantera1 [17]

Looking at the question we can see that it says:

41253>35214

We should know what these symbols mean:

stands for something less than the other, for example:

We can say that 2 is less than 5 so in a symbolic form it can be written as,

2

Similarly,

> stands for something greater than the other, for example:

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So here, 42153>35214 means that, 42153 is greater than 35214.

6 0
3 years ago
Read 2 more answers
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27
SOVA2 [1]
Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
<span>
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
</span>
The equation modeling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
</span><span>
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
</span>
But if you are writing the equation in standard form it would be <span>
</span><span>
50x - y = -25


Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
</span>
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.<span>
</span><span>
Writing the equation using the function notation would give us this
f(x) = 50x + 25


Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of </span>(2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
6 0
3 years ago
HELP ME PLEASE <br> What is the value of z?
dybincka [34]

Answer:23

Step-by-step explanation:

7 0
3 years ago
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Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue
Umnica [9.8K]

Answer:

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Step-by-step explanation:

Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:

x = \$\,100000 - \$\,32950 - \$\,25825

x = \$ \,41225

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

7 0
3 years ago
1 + 1 ? please help me
user100 [1]

Answer:

1+1=2 so the answer is 2

5 0
3 years ago
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