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ELEN [110]
3 years ago
10

They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter

of this base is 930ft. What are the dimensions of the base?
Mathematics
1 answer:
wariber [46]3 years ago
4 0

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

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Nancy is curious if the consumption of sweets, mainly donuts, increases as people get older. Nancy asked 200 customers at a loca
castortr0y [4]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of donuts consumed in a month = y

Age = x

Regression equation obtained :

y=47-1.36x

Meaning of slope of the regression line ;

Comparing the regression equation obtained with the general equation of a linear regression line ;

y = mx + c; where m = slope of the regression line

Hence, the value of slope in the equation is = - 1.36

Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.

7 0
3 years ago
A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 55 bills having a combined mo
vfiekz [6]

Answer

39 bills of 1$

16 bills of 10$

Step-by-step explanation:

x-nr of $1

y-nr of $10

x*1+y*10=199

x+y=55 , x=55-y

so  I use the substitution method

(55-y)*1+10y=199

55+10y-y=199

-55            -55

9y=144

y=144/9

y=16

so x=55-16

     x=39

verify 16*10+39*1=160+39=199

4 0
3 years ago
Read 2 more answers
Help plz plz plz
IrinaK [193]

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

6 0
3 years ago
Write a rule for the nth term of the sequence.
Helga [31]

Answer:

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

a_1 = -11\\a_2 = 5\\a_3 = 21\\a_4 = 37

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2 -a_1 = 5-(-11) = 5+11 = 16\\d = a_3 -a_2 = 21-5 = 16\\d = a_4-a_3 = 37-21 = 16

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

a_n = a_1+(n-1)d

Putting values

a_n = -11+(n-1)(16)\\a_n = -11+16n-16\\a_n = -27+16n

For 100th term,

Putting n=100

a_{100} = -27+16(100)\\a_{100} = -27+1600 = 1573

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

6 0
2 years ago
Write in slope-intercept form an equation of the line that passes through the given points. (2, 4), (3, 6) y=
GrogVix [38]

Answer:

m=6-4/3-2=2/1=2

y-4=2(x-2)

y-4=2X-4

y=2X

7 0
2 years ago
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