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yan [13]
3 years ago
10

The perimeter of a rectangle is 4(4x - 5) inches. the length of the sides of the rectangle are 2x + 3 inches and 3x + 2 inches.

write and solve an equation to find the length of each side of the rectangle.
****Show all work for brainliest!!)*****
Mathematics
2 answers:
N76 [4]3 years ago
8 0

Answer:

lengths of rectangle are 13, 17

Step-by-step explanation:

perimeter = 2 * (l + b) = 4(4x - 5)

l = 2x + 3

b = 3x + 2

4(4x - 5) = 2 * (2x + 3 + 3x + 2)

16x - 20 = 2 * (5x + 5)

16x - 20 = 10x + 10

6x = 30

x = 5

l = 2*5 + 3 = 13

b = 3*5 + 2 = 17

Studentka2010 [4]3 years ago
5 0

Answer:

Width: 13

Length: 17

Step-by-step explanation:

2(2x+3) + 2(3x+2) = 4 (4x -5)

4x + 6 + 6x + 4 = 16x - 20

10x + 10 = 16x - 20

10 + 20 = 16x - 10x

30 = 6x

30/6 = x

x = 5

Width : 2(5)+3 = 13

Length: 3(5)+2 = 17

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Pavlova-9 [17]
The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g
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3 years ago
Which equation correctly uses the law of cosines to
seraphim [82]

Answer:

fourth option

Step-by-step explanation:

Using the Law of Cosines in Δ STU to find s

s² = t² + u² - 2us cosS

where t = 9, u = 10 and S = 100° , thus

s² = 9² + 10² - 2(9)(10)cos100°

8 0
3 years ago
Read 2 more answers
15 – (3 + 4) + 7 x 2 – 3 2
blondinia [14]

Answer:

-10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

15 - (3 + 4) + 7 × 2 - 32

<u>Step 2: Evaluate</u>

  1. (Parenthesis) Add:                    15 - 7 + 7 × 2 - 32
  2. Multiply:                                     15 - 7 + 14 - 32
  3. Subtract:                                    8 + 14 - 32
  4. Add:                                           22 - 32
  5. Subtract:                                    -10
5 0
3 years ago
Help me please i don't have enough time to figure it out
vladimir2022 [97]
So you have those 2 rectangular prisms and the measurements are already given
Length x width x height = volume of a rectangular prism

11x10x22 = 2,420 cubic feet (the larger object)
7x4x10 = 280 cubic feet (the smaller object)
Add the 2 numbers together to get the volume of the whole figure which would be

2,700 cubic feet
4 0
3 years ago
Need help with this problem
Advocard [28]

Answer:

198

Step-by-step explanation:

If you take any 3-digit number and change the numbers around and subtract them you will always get 198.

7 0
3 years ago
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