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blagie [28]
3 years ago
15

Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralf, and Peter weighs three t

imes as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?
Mathematics
2 answers:
maks197457 [2]3 years ago
8 0
To be able to calculate the problem above, we need to set up equations. We let,

D = Dominic weight
R = Ralph weight
P = Peter weight

We have three unknowns so we should set up three equations. We do as follows:

D = 0.5R
P = 3D
D+R+P = 720

Solving simultaneously we obtain,

D = 120
R = 240
P = 360

Therefore, Dominic weighs 120 mass units.
notsponge [240]3 years ago
8 0
Dominic is 120 pound's, Ralf is 240 pound's, and Peter is 360 pound's. (I know you only asked for Dominic but i felt like giving you the other's to).:3 
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Suppose that, in 1995, Germany produced 4.719 million computers. The total world production that year totaled 80 million compute
Reptile [31]

Answer:

To the nearest tenth

Percentage= 5.9%

Step-by-step explanation:

In 1995, Germany produced 4.719 million computers.

In that same year, the total computer production of the whole world was 80 million.

The percentage of the world production contributed by Germany

=Number produced by Germany/Number produced by the whole world * 100

The percentage of the world production contributed by Germany

=( 4.719/80)*100

The percentage of the world production contributed by Germany

=5.89875%

To the nearest tenth

= 5.9%

3 0
3 years ago
Can someone help me on the steps for this?
Rudiy27

Answer:

x = 13

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality<u> </u>

<u>Algebra I</u>

  • Multiple Roots

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify</u>

<em>a</em> = 12

<em>b</em> = 5

<em>c</em> = x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [PT]:                                                                           12² + 5² = x²
  2. Evaluate exponents:                                                                                      144 + 25 = x²
  3. Add:                                                                                                                 169 = x²
  4. [Equality] Square root both sides:                                                                 ±13 = x
  5. Rewrite:                                                                                                           x = ±13

Since we are dealing with positive numbers, we can disregard the negative root.

∴ x = 13

3 0
3 years ago
Amanda can jog 181818 miles in 555 hours.
qwelly [4]

Answer:

145454.4

Step-by-step explanation:

Divide 181818 by 555, then multiply the answer by 444.

4 0
3 years ago
Given: ABCD is a parallelogram and A ABC = ADCB.
Cloud [144]

Answer:

Step-by-step explanation:

Angle ABC is a right angle because all interior angles of a rectangle are right angles.

6 0
2 years ago
In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined res
Vladimir [108]

Answer:

(D) xy/(x + y)

Step-by-step explanation:

To find r in terms of x and y

Given,

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Then,

1/r = 1/x + 1/y

1/r = (y + x)/xy

Find the reciprocal of both sides

r = xy/(x + y)

The right answer is option (D)  xy/(x + y)

5 0
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