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faust18 [17]
2 years ago
11

11. The distance between two houses in a neighborhood is 12 meters. There are approximately 4 meters in 13 feet. Which measureme

nt, in feet, is closest to the distance between the two houses?
Mathematics
1 answer:
Black_prince [1.1K]2 years ago
4 0

Answer:

The closest distance between the houses in feet is 39 feet

Step-by-step explanation:

Distance between the houses in metres is 12 metres.

<em>Essentially, the problem is asking us to convert this distance to feet using the scale ratio that we are given.</em>

The scale ratio is

4 meters = 13 feet.

1 meter = x feet

by cross multiplying, we have that x = 13/4 feet

We now know how long 1 meter is in feet using the scale we were given

We can now convert the 12 meters to feet.

1 meter = 13/4 feet

12 meters = x feet

x = 12 \times 13/4=39 feet

Therefore, the closest distance between the houses in feet is 39 feet

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What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?
melamori03 [73]

Answer:

2 units

Step-by-step explanation:

none

8 0
3 years ago
Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second ac
const2013 [10]

Answer:

first account with 6% interest ( x ) = $46000

second account with 4% interest ( y ) = $19000

Step-by-step explanation:

Principal = $65000

first interest rate = 6%

second interest rate = 4%

assuming ; X = money invested in first account ,  Y = money invested in second account

hence :

( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520

3900 - 0.06 y  + 2600 - 0.04 x = 3520

0.04 x + 0.06 y = 3900 + 2600 - 3520

0.04 x + 0.06 y = 2980 ----- ( 1)

        x + y = 65000  ------- ( 2 )

solve equation 1 and 2 simultaneously by elimination method

0.04 x + 0.06 y = 2980 ------  ( 3 )

0.06 x + 0.06 y = 3900 ------- ( 4 )

subtract equation 3 form equation 4

0.02 x  = 920 ,   hence x = $46000

therefore y = $65000 - $46000 =  $19000

6 0
3 years ago
Mario worked from 8:25 to 12:45 yesterday. Today
solmaris [256]

The number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

From the question,

Mario worked from 8:25 to 12:45 yesterday.

From 8:25 to 12:45 gives 4 hours 20 minutes

Also, from the question,

Today  he will work from 11:20 to 3:10

From 11:20 to 3:10 gives 3 hours 50 minutes

To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,

4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes

Now, to put the answer in fraction form, we will convert 10 minutes to hours

NOTE: 60 minutes = 1 hour

∴ 10 minutes = \frac{10}{60} \ hours = \frac{1}{6} \ hours

∴ 8 hours 10 minutes = 8\frac{1}{6} \ hours

Hence, the number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

Learn more here: brainly.com/question/3164396

6 0
2 years ago
Write the coordinates of the vertices after a reflection across the line x= -3
anzhelika [568]

(Please vote me Brainliest if this helped!)

  1. C' (-3, -6)
  2. D' (-3, 1)
  3. E' (0, -6)
3 0
3 years ago
Calculate 177537+87439-19673​
nadezda [96]

Answer:

See below.

Step-by-step explanation:

Following order of operations:

177537+87439=264976

264976-19673=245303

So, 177537+87439-19673​ is equal to 245303.

-hope it helps

8 0
2 years ago
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