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marissa [1.9K]
2 years ago
5

The perimeter of a rectangle is 26 inches. The length of the rectangle is 7 more than its width. What is the area of the rectang

le?
Mathematics
1 answer:
mars1129 [50]2 years ago
3 0

Answer:30

Step-by-step explanation:the perimeter is 26 and the length is 7 more than the width so you subtract 14 for both the sides of the rectangle from the perimeter and are left with 12 so you divide that by 4 for the 4 sides of the rectangle and get 3 so the width is 3 and the length is 10.

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A sales person earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4,800
AURORKA [14]
Assign variables to you unknowns.

c = $ cars
t = $ trucks

6c + 3t = 4800
8c + t = 4600

use substitution or elimination to solve the system of equations.

using elimination.. multiply second equation by -3 and add to the other to combine equations into one.

6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $

use this in one of the equations to find the cost of a truck.

8(500) + t = 4600
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t = 4600 - 4000
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question asks
2(500) + 3(600) =
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2 years ago
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all i
jok3333 [9.3K]
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. J<span>aden should plant the geranium </span>"at the point of intersection of an angle bisector and a perpendicular bisector of the triangle."
5 0
3 years ago
What is the perimeter of this triangle HELP!!<br><br><br><br> A-4<br> B-20<br> C-40<br> D-60
Sophie [7]

Answer:

60 and

x=4

Step-by-step explanation:

6 0
2 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

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Using [eq4], we can write an expression for s that can be substituted into [eq5].

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  0.0725c +0.104(65000 -2c) = 5405

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  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Subtract the sum of 13 and 6 from 40. *
Helen [10]

Answer:

40-19 = 21

Step-by-step explanation:

I think this is correct dear

6 0
3 years ago
Read 2 more answers
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