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mart [117]
3 years ago
10

A rectangular field is 5x meters long and 2x m wide. if its perimeter is 140cm what is its area?​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

1000 cm²

Step-by-step explanation:

perimeter = 2 * length + 2 * width

2 * 5x + 2 * 2x = 140

10x + 4x = 140

14x = 140

x = 10

Length: 5x = 5(10) = 50

Width: 2x = 2(10) = 20

area = length * width

area = 50 cm * 20 cm

area = 1000 cm²

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Nancy and Mark commute to work, traveling in opposite directions. Nancy leaves the house at 7:00 A.M. And average 20 miles per h
vladimir2022 [97]

Answer:

They will be 170 miles apart at 10 AM

Step-by-step explanation:

Nancy has 15´ of  head start which is 1/4 hr.

NHD = 20*(1/4) = 5 miles is her head start

Mark leaves at 7.15hs = starting point

Marks stop at when they are 170 miles apart = t

------------------------------

t = the time they are 170 miles apart

d= distance in miles Nancy travels in time t

170 - (d+5) = distance in miles Mark travels in time t

------------------------------

Nancy's equation:

(1) d = 20t

Mark's equation:

(2) 170 - (d+5) = 40t

---------------------------

(2) 170-d-5=40t

(2) d+40t=165

Substitute (1) into (2)

(2) 20t+40t=165

(2) 60t=165

(2) t=2.75

7:15 AM + 2.75 hrs (2:45hs) = 10 AM

They are 170 miles apart at 10 AM

check:

(1) d=20t

(1) d=20*2.75

(1) d= 55

---------------

(2) 170 - (d+5) = 40t

(2) 170 - (d+5) = 40*2.75

(2) 170 - d-5 = 110

(2) d=55

4 0
3 years ago
What does 6m+2n-5(2m-8n)
serious [3.7K]

Answer:

42n - 4m

Step-by-step explanation:

6m+2n-5(2m-8n)

6m + 2n - 10m + 40n

42n - 4m

4 0
3 years ago
Read 2 more answers
I need help with this problem x/56=7/8 Thank you
hoa [83]

\dfrac{x}{56}  =  \dfrac{7}{8}  \\ x =  \dfrac{56 \times 7}{8}  \\ x = 49

4 0
3 years ago
Alex invests £3175 for n years into a savings account.
kozerog [31]

Answer:

n = 14

Step-by-step explanation:

3175(1+2.75%)^n=4641.83 we input this in the calculator and we get n = 14

6 0
3 years ago
Manny created a scatter plot and drew a line of best fit, as shown.
AVprozaik [17]

Answer:

y = 2x + 7

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

We are only focusing on the line of best fit.

Step 1: Find 2 coordinates

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Step 3: Rewrite linear equation

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4 0
3 years ago
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