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Gekata [30.6K]
2 years ago
9

the length of nicks garden is equal to its width. Nick is going to enlarge his garden by making each side 20% longer.How much wi

ll the area of the garden increase
Mathematics
1 answer:
ehidna [41]2 years ago
6 0

Answer:

44%

Step-by-step explanation:

Existing garden:  L*W, where L and W are the length and width (We'll assume meters, but it can be any other linear measurement, such as miles, cm, or feet, etc.).

Area, A1 = L*W

New Area, A2 = (1.2L)*(1.2W)

  A2 = (1.2)*(1.2)*(L*W)

Since L*W = A1, we can write A2 = 1.44*A1

New Area = 1.44 the original area, a 44% increase.

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The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi
Roman55 [17]

Answer:

\frac{16}{9}  hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

a=\frac{k}{b}

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

t=\frac{k}{r}

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80

Now, secondly, we have r = 45 and k = 80, we need to find t:

t=\frac{80}{45}\\t=\frac{16}{9}

So, it would take  \frac{16}{9}  hours

4 0
3 years ago
How do I solve this.....I'm really dumb
Margaret [11]

Answer: 40 suit size

6.9 time

2 & 5  in runs scored

Step-by-step explanation:

mode is really easy.  All you have to do is calculate which number appears the most

7 0
2 years ago
Explain how the ratios 5 tacos for every 2 guest and 2 tacos for every 5 guests are different. Include a model in your explanati
maria [59]

Answer:

5 tacos for 2 guests would mean more for each person, while 2 tacos for 5 guests would mean less for each person

6 0
2 years ago
Simplify the following fractions using ur magic number. (*2,3,5,7,11,13*)
pshichka [43]

1) 6/14  divide by 2 =        3/7

2) 9/12 divide by 3 =         3/4

3) 15/25 divide by 5 =        3/5

4 0
3 years ago
Find the difference (20m+3)-(7m-5)
xz_007 [3.2K]

Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

3 + 20m + (5 + -7m) = 0

Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

8 + 20m + -7m = 0

Combine like terms: 20m + -7m = 13m

8 + 13m = 0

Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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