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True [87]
3 years ago
13

The length of a rectangle is 3 centimeters less than twice its width. If the perimeter of the rectangle is 18 centimeters. find

its dimensions
Equation: ?

Length: ? Width: ?
Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

  • equation: w +(2w -3) = 18/2
  • length = 5 cm
  • width = 4 cm

Step-by-step explanation:

Let w represent the width in cm. Then the length is 2w-3, 3 cm less than twice the width. The perimeter is twice the sum of these, so the sum of length and width is half the perimeter:

  w + (2w -3) = 18/2

  3w -3 = 9 . . . . collect terms

  3w = 12 . . . . add 3

  w = 4 . . . . divide by 3

  2w-3 = 2·4 -3 = 5 . . . . length

The equation is w + (2w -3) = 18/2; the length is 5; the width is 4.

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Linda Roy received a $200,000 inheritance after taxes from her parents. She invested it at 4% interest compounded quarterly for
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Answer:

Step-by-step explanation:

Matured amount of $200000 at 4% compounded quarterly after 3 years

= $200000 x ( FVIF , 1 , 12 )

= $200000 X 1. 1268

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Matured amount of $210000 at 3% compounded semiannually  after 2 years

= $210000 x ( FVIF , 1.5 , 4 )

= $210000 X 1. 1268

= $225360 x 1.0614

= $239197

Total amount after maturity

= $225360 + $239197

= $464557

Matured amount of $464557  at 2% compounded annually  after 7 years

= $464557  x ( FVIF , 2 , 7 )

= $464557 x 1.1487

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This amount is more than his target amount of 500000.00 So she meets the goal .

8 0
4 years ago
What number can replace c
Dmitrij [34]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
Pleaseeeee answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
belka [17]

Answer:

x = 146°

Step-by-step explanation:

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6 0
3 years ago
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (F + G) (2) =
galben [10]

Answer:

9

Step-by-step explanation:

(F+G)(2)

=F(2)+G(2)

Stop!

F(2) means what is y when x=2 looking at function F.

F(2)=4 since F has the ordered pair (2,4) which says when x=2, y=4.

G(2) means what is y when x=2 looking at function G.

G(2)=5 since G has the ordered pair (2,5) which says when x=2, y=5.

G(2)=5.

Continue!

(F+G)(2)

=F(2)+G(2)

=4+5

=9

3 0
3 years ago
Read 2 more answers
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