Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?

Answers

Answer 1

Answer:

Arlo's weight = 52.3 kg

Explanation:

Let Arlo be "x"

Then,

Arlo = x

Bert = x+20 (Because Bert is 20 heavier than Arlo)

Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)

Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)

Average = 57

Step by step Calculations:

57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex]  (The whole divided by 4 because the total people is 4)

57*4   =  x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]

228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]

228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]

193 -3x = [tex]\frac{x+20}{2}[/tex]

2(193 - 3x) = x + 20

386 - 6x = x + 20

386 - 20 = x + 6x

366 = 7x

x = [tex]\frac{366}{7}[/tex]

x = 52.3 kg (corrected to 3 significant figures)

Therefore Arlo's weight is 52.3 kg


Related Questions

The Math and Science Club sold candles for seven hours one Saturday. The bar graph shows the number of
candles sold during each hour.
Number of Candles Sold
30
25
20
No. of Candles
15
10
5
0
1
2
3
4
5
6
7
Hour
How many candles were sold during the fifth hour?
candles

Answers

Answer:

20 candles

Step-by-step explanation:

how do I solve this ​

Answers

Answer:

4 hours

Step-by-step explanation:

120-72=48

48÷12=4

Answer:

4

Step-by-step explanation:

The total amount was $120.

A portion of the $120 was for parts.

The rest of the $120 was for service. Service cost $12 per hour.

Start with $120.

Subtract $72 to find the amount spent on service.

$120 - $72 = $48

$48 was spent on service.

The service costs $12 per hour.

$48/($12/hour) = 4 hours

Answer: 4 hours

Check:

$72 in parts + 4 hours * $12/hour = $72 + $48 = $120

4 hours is correct.

Can someone help me plz

Answers

Answer:Titus is going to invest $500. Bank A offers a simple interest rate of 4%, while Bank B offers an interest rate of 3% compounded annually. In the long run, after many years, which bank account will grow the largest?

Step-by-step explanation:

solve x for triangle

Answers

Answer:

x = 69

Step-by-step explanation:

By exterior angle theorem:

x° + 43° = 112°

x° = 112° - 43°

x ° = 69°

x = 69

Find the Slope of the line that passes through the given coordinates. Enter as a fraction please

(11,7) and crosses the y-axis at 17 ​

Answers

Answer:

follow the steps and you'll understand the question

brainliest or whatnot just answer it

Answers

Answer:

the answer is y=2x-3

Step-by-step explanation:

4/2=2 slope

1-4= -3 y-intercept

hope this helps!

Put these numbers in order of their distance from 0 on the number line, starting with the smallest distance. -26,-12.7,-9/2,2/100,::7,::11/1/4,::41/2

Answers

Answer:

2/100, -9/2, 7, 11 1/4, 12.7, 41/2, -26.

Step-by-step explanation:

Given,

Points are -26,-12.7,-9/2,2/100,7,11 1/4,41/2

We have to arrange the number according to their distance from 0.

Simplifying Points

= -26, 12.7, -4.5, 0.02, 7, 11.25, 20.5

Now, arranging the number starting from the smallest distance from 0.

0.02, -4.5, 7, 11.25,12.7,20.5,-26

= 2/100, -9/2, 7, 11 1/4, 12.7, 41/2, -26.

11. Find f(-1) for the function. f(x) = 3x - 4

Answers

Answer:

It is -7.

Step-by-step explanation:

Since x = -1, we can replace the x with -1 to get: -3 - 4 which is -7.

Answer: The answer is -7 for #11

Step-by-step explanation:f(x) = 3x - 4

f(x) = 3(-1) - 4 plug in -1 in x

-3-4 subtract both -3 and 4

-7 the answer

The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of

each square?

Answers

9514 1404 393

Answer:

10 ft7 ft

Step-by-step explanation:

The side lengths are 1/4 of the perimeter, so we can say ...

  the sum of side lengths is 68 ft/4 = 17 ft

  the difference of side lengths is 12 ft/4 = 3 ft

Using x to represent the side length of the smaller square, we have ...

  x + (x +3) = 17 . . . . . . the larger square has side length x+3

  2x = 14 . . . . . . . . . subtract 3

  x = 7 . . . . . . . . divide by 2

The side lengths of the squares are 7 feet and 10 feet.

Little help with my math please

Answers

**Siri** I’m not sure I understand

state the slope and y-intercept for the graph of the equation y=-3x+5

Answers

Answer:

slope: -3

y-intercept: 5

Step-by-step explanation:

y=mx+b, where m=slope and b=y-intercept

Answer:

The slope is -3 and y is 5. hope that helped

What's the domain and range of the equation d(t)=1/2t+6 do I need to simplify it or what do I need to do?

Answers

Step-by-step explanation:

dt=12t+6

Step 1: Add (-1)/2t to both sides.

dt+−12t=12t+6+−12t

dt+−12t=6

Step 2: Factor out variable t.

t(2d−12)=6

Step 3: Divide both sides by (2d-1)/2.

t(2d−12)2d−12=62d−12

t=12/2d−1

Answer:

t=12/2d−1

How many cups are in 16 quarts? 1 quart = 4 cups

Answers

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

The answer is 64. Set it up like this
1 quart =4 cups
16 quarts-=?
Multiply 16 times 4 which is 64

what is the slope of the line below?
give an exact number. plz help !

Answers

Slope=2/3 you count up two and over three
using rise/run would give 4/4 and when simplified would b 1

18 bottles of water cost $9. How much does it cost for one bottle of water? How much bottles can you buy with $6?​

Answers

Answer:

Water cost 2$ you can buy 3 water bottles with 6$

Step-by-step

I did myself

Answer:

one bottle of water is 0.5 dollars. You can buy three bottles of water for $6

Step-by-step explanation:

since 9 divided by 18= 0.5, this is how it goes

18 bottles broken up into sections of one (one bottle in each section)

so you have to break up the dollars into cents to put an equal amount with each bottle. So you get 100 pennies for each dollar. There's only 9 dollars, so you split the pennies (that you broke from the 9 dollars) and put one in each section (each section still has one bottle) so each bottle with get one more penny with every round. The bottles take turns getting pennies. After you do all of them you will get 0.5 dollars for each bottle so that's how much the bottles cost.

The bottles cost 0.5 dollars.

Now we do this with 6 dollars instead of 9. You now know that each bottle cost 0.5 dollars so you have to do this

0.5 x 6 which = 3.

You can buy 3 bottles with $6.

I hope this helps!

When you make a cake the diameter should be 12 inches. The Bakers of
America accept a variance of .5 inch. Therefore, 12 – 12.5 Find the
least acceptable diameter for your cake.

Answers

Answer:

11.5 inches

Step-by-step explanation:

Just subtract the .5 inch from 12. The max of variance that it can have.

Find the slope of the line graphed below. PLEASE HELP ME

Answers

Answer:

-3/5

Step-by-step explanation:

I was always taught rise over run. count how many units up/down the next point is and how many units over.

PLEASE HELP I NEED DONE BY 3 10!!!!!! NUMBER 7

Answers

Answer:

115

Step-by-step explanation:

Answer:

there are 120 animals

Step-by-step explanation:

if cows are 40%, then "not cows" is 60%

so 72 animals 60% of all the animals on the farm

60% of 120 is 72

Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages will she have read after 5 days

Answers

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 =    462.5 pages

Evaluate the expression, if x = 6, y = 8, and z = 4. 6x - y N​

Answers

it’s , 7

because you need to reduce the expression if possible by canceling the common factor

7

Step-by-step explanation:

first plug in all your numbers to get

6×6-8

4

then do the multiplication to get

36-8

4

next do you subtraction to get

28

4

last you divide to get

7

What is 12 divided by 2/3 and why? Please help

Answers

Answer:

8

Step-by-step explanation:

12/3=4

4 times 2=8

A student wants to buy a violin and take lessons.

The violin costs
$
95.
The lessons cost
$
65
per hour.

Answers

Answer:

All together it will be 160

Step-by-step explanation:

5+2x+6=x +10
Solve this equation and show ur work

Answers

Answer:

x = -1

Step-by-step explanation:

5 + 2x + 6 = x + 10

11 + 2x = x + 10

      -x      -x

11 + x = 10

-11          -11

x= -1

Answer:

1

1

+

2

=

+

1

0

Step-by-step explanation:

it was the aaaa the we as  be the

Зу + 9x = 12
y=mx+b

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

3y + 9x = 12

subtract 9x

3y = 12 - 9x

divide by 3 on both sides

y = 4 - 3x

or

y = -3x + 4

Answer:

y=-3x + 4

Step-by-step explanation:

Convert standard form equation into y-intercept form

3y +9x=12

3y= 12-9x

Divide both sides by 3 to isolate the y (you can flip the equation if it is easier)

y= -3x+4

hope this helps and have a great day :)

For the following, select an equivalent expression in standard form: (6n4 – 9n + 2) - (-51"+17n4 + 5).

Answers

Answer:

56/5

Step-by-step explanation:

[tex] \frac{0 \frac{4 \frac{y1 \frac{ { {. \frac{ {x}^{?} }{?} }^{2} }^{2} \times \frac{?}{?} \times \frac{?}{?} }{?} \times \frac{?}{?} \times \frac{?}{?} }{?} }{?} }{?} [/tex]

[tex] {4445xx \frac{51}{?} \times \frac{?}{?} }^{?} [/tex]

Answer: The answer is D

5n^7 - 11n^4 - 9n - 3

Step-by-step explanation:

Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?

Answers

Answer:

3.2 plz help me to

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

An airplane begins decreasing its altitude as it approaches the runway. At time t=1, the pilot notes that he has an altitude of 30,000 feet. One minute later, his altitude drops to 29,450 feet. One minute after that, his altitude drops to 28,900 feet. Assuming this pattern continues, write a recursive formula for the altitude of the plane A(t) after t minutes.(1 point)

A(t)=30000+550(t−1)

A(t)=A(t−1)−550 for t>1, where A(1)=30000

A(t)=A(t−1)+550 for t>1, where A(1)=30000

A(t)=30000−550(t−1)

Answers

4th one btw I was a prospect elite on Brainly but I got banned

Answer: i think A(t)=30000−550(t−1)

Step-by-step explanation:

A bread recipe calls for 1/4 tsp of salt. How much salt is needed to make 6 loaves of bread?​

Answers

Answer:

1 1/2 tsp

Step-by-step explanation:

HELPPPPPP PLEASEEEEee 34 + 2 ⋅ 5 = ____. (Input whole numbers only.) (1 point)

Answers

the answer is 44
10+34

Answer:

44

Step-by-step explanation:

For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).

Answers

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

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