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almond37 [142]
2 years ago
9

The length of a rectangle is 3x^4 and the width is 5x^5. What is the area of the rectangle? *

Mathematics
2 answers:
RSB [31]2 years ago
5 0

Answer:

Area of rectangle = 15x⁹

kogti [31]2 years ago
4 0

\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}

  • Length of rectangle = 3x⁴
  • width of Rectangle = 5x⁵

Area = 3x⁴ × 5x⁵

Area of rectangle = 15x⁹

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Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac
melomori [17]
Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ b+c=20
Equation [2] ⇒ 1.50b+5c=54.50

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; b and c, that we need to solve, then this becomes a simultaneous equation problem. 

First, rearrange Equation [1] to make either b or c the subject:
b+c=20
b=20-c

Then we substitute b=20-c into Equation [2]
1.50b+5c=54.50
1.50(20-c)+5c=54.50
30-1.50c+5c=54.50
5c-1.5c=54.50-30
3.5c=24.50
c=7

Now we know the value of c which is c=7, substitute this value into b=20-c we have b=20-7=13

Answer:
Numbers of books = 13
Numbers of CDs = 7
5 0
2 years ago
The diagram shows a pentagon. It has one line of symmetry.
Nina [5.8K]

Answer:

A) 10x + 8 = 21

B) x = 1.3

Step-by-step explanation:

2(2x + 3) + 2(x + 1) + 4x = 21

4x + 6 + 2x + 2 + 4x = 21

10x + 8 = 21

10x = 13

x = 1.3 cm

7 0
2 years ago
Write m = 21 - 72i as an ordered pair in an Argand diagram.
Marysya12 [62]

Answer:

m = 21 - 72·i in an ordered pair =  (21, -72)

Step-by-step explanation:

Graphing complex numbers involves the application of the methodology of graphing real numbers on the coordinate plane in addition to the Argand coordinate plane to form the complex coordinate plane, such that where the complex number is of the form a + bi, the real part of the complex number, a, is taken as the x-coordinate value while the imaginary part, b, is taken as the y-coordinate value

As such to represent the complex number as an ordered pair, we have;

a + bi is equivalent to (a, b)

Therefore;

To write the complex number, m = 21 - 72·i as an ordered  pair in an Argand diagram, we have;

m = 21 - 72·i in an ordered pair =  (21, -72).

4 0
2 years ago
The price of a car was decreased by 16% to £2400. What was the price before the decrease?
miss Akunina [59]

Answer:

  £2857.14

Step-by-step explanation:

The price after the decrease is 84% of the original price, so we have ...

  £2400 = 0.84 · (original price)

  £2400/0.84 = original price ≈ £2857.14

3 0
2 years ago
The Blakely family plans to plant sod (grass) in their backyard. The yard measures 250 feet by 180 feet. The family has an in-gr
crimeas [40]

To cover the backyard they need 44700 square foot of sod.

<u>Step-by-step explanation:</u>

Area of the backyard = 250 x 180 ft

= 45000 square ft.

Area of the swimming pool = 15 x 20 ft.

= 300 square ft.

Area of the backyard available for planting sod = 45000 - 300

= 44700 square ft.

To cover the backyard they need 44700 square foot of sod.

5 0
1 year ago
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