Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralf, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?

Answers

Answer 1
 Answer 120 pounds

WORKINGS

Let Dominic’s weight be represented by ‘D’
Let Ralf’s weight be represented by ‘R’
Let Peter’s weight be represented by ‘P’

Given,
Dominic now weighs half as much as Ralf;
D = ½ R
R = 2D                ….. (Equation I)

Peter weighs three times as much as Dominic;
P = 3D                ….. (Equation II)

Together they weigh 720 pounds
D + R + P = 720 pounds                ….. (Equation III)


How much does Dominic weigh?
D is unknown?



Substitute equation I (R = 2D) for the value of R in equation III
D + R + P = 720 pounds                ….. (Equation III)
D + 2D + P = 720 pounds
3D + P = 720 pounds                ….. (Equation IV)

Substitute equation II (P = 3D) for the value of P in equation IV
3D + P = 720 pounds                ….. (Equation IV)
3D + 3D = 720 pounds
6D = 720 pounds
D = 720/6 pounds
D = 120 pounds

Therefore, Dominic weighs 120 pounds.

Related Questions

Sujat has 3 jump-ropes. The red jump-rope is 75 inches long. The blue jump-rope is 5 feet long. And the yellow jump-rope is 2 yards long. Decide which rope is longest, which is shortest, and which is in the middle.

Answers

you can put them in order;red 75in,yellow 72in, blue60.
the red jumprope is the longest, the yellow jumprope is in the middle, and the blue jump rope is the shortest. 

Which variable expression represents the word phrase? the sum of 12 and the quotient of 9 and a number

Answers

"Sum" tells us it's an addition problem:

One term is 12 and the other is 9/x

SO

The expression is:
12+9/x

Answer:

The required expression is [tex]12+\frac{9}{y}[/tex].

Step-by-step explanation:

Consider the provided phrase.

The sum of 12 and the quotient of 9 and a number

Let the number is y and the quotient of 9 and a number can be written as:

[tex]\frac{9}{y}[/tex]

Thus, the sum of 12 and the quotient of 9 and a number can be written as:

[tex]12+\frac{9}{y}[/tex]

Hence, the required expression is [tex]12+\frac{9}{y}[/tex].

If you can buy 1⁄3 of a pound of turkey for 4 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound.

Answers

The answer is 5/6 of a pound.

Answer:

[tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 3 meter per second or 4 miles per hour.

As per the statement:

If you can buy 1⁄3 of a pound of turkey for 4 dollars

by definition of unit rate we have;

[tex]\text{Unit rate per dollars} = \frac{\frac{1}{3} }{4} = \frac{1}{12}[/tex] pound of turkey.

We have to find how much can you purchase for 10 dollars.

[tex]\text{Weight of turkey for 10 dollars} = \text{Unit rate per dollars} \times 10[/tex]

⇒[tex]\text{Weight of turkey for 10 dollars}=\frac{1}{12} \times 10 = \frac{5}{6}[/tex] pound

Therefore, [tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars

Andrea ordered a computer on the internet the computer cost $1399 plus 6 1/2% sales tax what was the total amount Andrea paid for her computer?

Answers

1399×.03= 41.97
1399+41.97= $1440.97

Answer:

$1489.94

Step-by-step explanation:

6 1/2 in decimal form would be 0.065

Multiply total by decimal.

1399 x 0.065

= 90.935

Add sum to total.

90.935 + 1399

= 1489.935

In money it would be rounded to

$1498.94

3x + 2y = 2

-2x + y = 8

Solve the system of equations.

A)
(-2,4)

B)
(4,-2)


C)
(-4,-2)


D)
(5/4), (-1/2)

Answers

I hope this helps you
I feel like the answer is A. (-2,4) :o cause I tried to get D. which didn't work so I solved it in a weird way that you wouldn't understand cause i don't want to confuse you at all. So i'm leaning on the A. :/

if this is wrong please don't hate me >< I tried 3 times 

~ShadowLePanda

compare the ratios 9/2 and 10/7

Answers

its false you can not compare these ratios 

Find the value of 65 rounded to the nearest tenth

Answers

the correct answer is 650
5 always rounds up so 70

A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation that represents the length Y (in feet) of a boa constrictor that is X years old.

This is writing equations in slope intercept form and I tried y=8x+18 but it didn't work.

Answers

Final answer:

The length Y (in feet) of a boa constrictor that is X years old is given by the equation Y = 0.6667X + 1.5. This equation takes into account the initial length of 1.5 feet at birth and an annual growth of 0.6667 feet.

Explanation:

To write an equation representing the length Y (in feet) of a boa constrictor that is X years old, we need to start with its initial length at birth and account for its growth over the years. The boa constrictor is 18 inches long at birth and grows 8 inches per year. However, we want Y to be in feet, so we must convert these measurements from inches to feet (since 1 foot = 12 inches).

To convert the initial length from inches to feet, we divide 18 inches by 12, which gives us 1.5 feet. The annual growth should also be converted from inches to feet by dividing 8 inches by 12, resulting in approximately 0.6667 feet.

So, using slope-intercept form (Y = mx + b), our equation is:

Y = 0.6667X + 1.5

This equation states that the boa constrictor starts with a length of 1.5 feet at birth (Y-intercept) and grows about 0.6667 feet for every year that passes (the slope).

slope slopeeeeeeee slopeeee

Answers

Only (2,3). If you plug in the other one, you get a false equation. 

Convert 7.7km into miles if 1.6 km = 1 mile

Answers

This is a simple equation.  

The equation is y = 1.6x  with y being the miles and x being the kilometers.

Lets plug the kilometers in.

Y=1.6(7.7)

1.6 *  7.7 = 12.32

12.32 miles is  equal to 7.7 kilometers

HOWEVER

There are about .6 miles in a kilometer, so if you typed this wrong I don't know.  

It is still the same concept.

Y = .6x

Y = .6(7.7)

.6 * 7.7 =  4.8

In this case there are 4.8 miles in 7.7 kilometers


Lyza has a 9 inch board. She wants to measure the length of a small rug in feet. How can she do this?

Answers

Since the board is in inches, she can lay the board on the side of the rug. after she finds how many inches the rug is, Lyza can convert the inches into feet by dividing the amount of inches by 12.

The length of a small rug in feet is 0.75.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Lyza has a 9-inch board.

She wants to measure the length of a small rug in feet.

For that,

divide the length by 12 inches.

Measure of the small rug,

= 9/12

= 0.75 feet.

Therefore, 0.75 feet is the small rug.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ5

What number does ▲ stand for in this equation?
6 × 3 = (▲ × 5) – (▲ × 2)

Answers

For the sake of this problem I will cal the triangle x and the times sign will be *

6*3=(x*5)-(x*2)
18=5x-2x
18=3x
6=x

Hope this helps  :)

use the quadratic formula to solve 5x^2+2x-3

Answers

assuming it equals 0
for
ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]

given
5x^2+2x-3=0
a=5
b=2
c=-3

x=[tex] \frac{-2+/- \sqrt{2^2-4(5)(-3)} }{2(5)} [/tex]
x=[tex] \frac{-2+/- \sqrt{4+60} }{10} [/tex]
x=[tex] \frac{-2+/- \sqrt{64} }{10} [/tex]
x=[tex] \frac{-2+/- 8 }{10} [/tex]
x=(-2+8)/10 or (-2-8)/10
x=6/10 or -10/10
x=3/5 or -1

If 2 feet on a model represent 1/4 inch, then how many feet represent 1 inch

Answers

8. 2 feet = 1/4 inch.
2 x 4 = 8 or 4/4

Answer: Eight feet equal 1"

Solution:
1/4 or .25 = 2'
2/4 or 1/2 or .50 = 4'
3/4 or .75 = 6'
4/4 or 1" = 8' ----> Answer

is 3/2 and 18/8 proportional

Answers

No, to get 3 to 18, you multiply by 6. To get 2 to 8, you multiply by 4. 
No because 3/2 can't multiply any number to get to 8 and 18 because it is not compatible.

Marco has a jug with 37 1/2 ounces of juice .he wants to use some small cups to pass out as samples of the juice .each cup holds 2 1/2 of juices .how many cup can Marco fill with juice samples

Answers

15 because 37 1/2 divided by 2 1/2 is 15

Atlantic Auditorium has 850 seats. Tickets were sold for 816 of the seats. For what percent of the seats were tickets sold?

Answers

96%

816/850 = 0.96, which is 96%

Answer:

96%

Step-by-step explanation:

Just divide 850 and 816 and you will get 0.96 which is 96 %.

Explain why -4 is greater than -10 even though 4 is less than 10

Answers

-4 is greater than - 10 because -4 is closer to 0 than -10 is
-4 is closer to 0 on the number line than -10, which makes it greater, 10, since it's a positive is farther away from 0 which makes it greater and 4 is closer which makes it lesser

Write 1/1,024 as an expression using a negative exponent other than -1

Answers

The answer could be 32^(-2)

Answer:

[tex]\frac{1}{2^{10}}=2^{-10}[/tex]

Step-by-step explanation:

[tex]\frac{1}{1024}[/tex]

To get the expression with negative exponent , we need to convert the number 1024 in exponential form

[tex]1024= 2^5 \cdot 2^5= 2^{10}[/tex]

Replace the denominator by 2^10

[tex]\frac{1}{2^{10}}[/tex]

Now we apply exponential property

[tex]\frac{1}{a^m} =a^{-m}[/tex]

[tex]\frac{1}{2^{10}}=2^{-10}[/tex]

negative exponent other than -1 is [tex]\frac{1}{2^{10}}=2^{-10}[/tex]

Antoine and 3 friends divide some pennies evenly among themselves. Each friend separates his pennies into 3 equal stacks with 5 pennies in each stack. write a multiplication sentence that shows

Answers

Answer:

4 × ( 3 × 5 ) = 60

Step-by-step explanation:


Answer:

4 × (3 × 5) = 60

Step-by-step explanation:

Total number of persons including Antony = 4

Number of stacks separated by each friend = 3

Number of pennies in each stack = 5

Number of pennies in all 3 stacks of one friend = 3 × 5

Number of pennies in all 3 stacks of 4 persons = 4 × (3 × 5) = 60

Hence, the multiplication sentence is 4 × (3 × 5) = 60.


Jackie is setting up chairs in the gymnasium for a magic show. She needs to have seats for 78 students and 3 teachers. She has to have 12 chairs in a row. How many rows will there be? How many seats will be empty?

a.
6 rows and 9 people will stand
b.
10 rows and no seats will be empty
c.
7 rows and 3 seats will be empty
d.
7 rows and 13 seats will be empty

Answers

C is your answer because 78+3 is 81 12x7 is 84 so you will have 3 seats left
First, you need to do 78+3 to get 81.

That is how many people are there.

Now you have to divide 81 by 12.

You will get 6.75

This means that your answer will be C because there needs to be 7 rows, and 3 chairs will be left over!


Hope this helps!

Comment if you have questions!

A expression like ( 3+5) × (4-1) is a combination of numbers and at least one operation. Fill in the blank

Answers

Final answer:

An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation.

Explanation:

An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. In this expression, the numbers 3, 5, 4, and 1 are combined using the addition and subtraction operations. The addition operation is represented by the symbol '+', and the subtraction operation is represented by the symbol '-'. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation:

(3+5) × (4-1) = 8 × 3 = 24

Josie has 250 cubic centimeters of candle wax. She wants to make a hexagonal prism candle with a base area of 21 square centimeters and a height of 8 centimeters. She also wants to make a triangular prism candle with a height of 14 centimeters. Can the base area of the triangular prism candle be 7 square centimeters?

Answers

Let's compute the volume of the hexagonal prism candle. That volume is

Volume = (area of base)*(height)
Volume = 21*8
Volume = 168

The volume of the hexagonal prism candle is 168 cubic cm

So we have 250-168 = 82 cubic centimeters of wax leftover. 

Let V = 82 be the volume of the triangular prism. We're given the height to be 14 so h = 14

Use V = 82 and h = 14 to find the area of the base (A)

V = A*h
82 = A*14
82/14 = A*14/14
A = 5.857 ... this is approximate

The base area is about 5.857 square cm which is less than 7 square cm. So it's impossible for the base area to be 7 square cm. The area of the base must be 5.857 (approx) or smaller if we want the height to be 14 cm. 

The answer to the question in the problem is simply "no" with the reasoning explained above. 

What is the slope intercept form of the linear equation x + 4y = 12

Answers

y= -1/4x + 3

i need the brainliest answer please

x+4y=12
-x from each side to isolate the y term:
4y=-x+12
Divide everything by 4 so that 4y become just y:
y=-1/4x+3

Hope this helps :)

Write an equation in slope intercept form for the total cost of any number of tickets at 7 tickets for $5

Answers

cost=number of tickets times cost per ticket

first, find the cost per ticket
7tickets=$5
divide both sides by 7
1ticket=$5/7

cost=5/7 times number of tickets
y=5/7x+0

What is 2+2 (experimental) i am just checking to see if this website works

Answers

4 and this is a good website

it is 4 i am real just saying

Rhonda bought her son an inflatable pool for the summer. It took her 20 mins to fill the pool to a depth of 6 in. What is the unit rate per minute(in per minute)

What is the unit rate per inch(mins per in)

Answers

Per means one. So this asks for in one minute, and in one inch.
20 minutes = 6 inches.
So dividing by 20 gets you one minute.
1 minute = 6/20 inches
1 minute = 3/10 inches

20 minutes = 6 inches.
So dividing by 6 gets you one inch.
20/6 minutes = 1 inch
10/3 minutes = 1 inch

Which ordered pairs are solutions to the equation?

y = 3x – 4

A.
(11, 5) and (2, 2)

B.
(5, 11) and (3, 2)

C.
(5, 11) and (2, 3)

D.
(5, 11) and (2, 2)

Answers

The correct answer is D

Susan has 3 shirts ; red, blue, and green; jeans and khakis; and 3 shoes; white, black, and tan , to choose from for her school outfit. How many different outfits can she create

Answers

Get outfit can only be 1 outfit

The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $17,000.00, how much was the car worth when she bought it?
A.
$20,000.00
B.
$18,700.00
C.
$18,888.89
D.
$17,894.74

Answers

The answer is C. $18,888.89
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