Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.

Answers

Answer 1

Given:  1) weight of Dylan= 45 pounds

            2) weight of Alan= 3 pounds more than twice the weight of Dylan

            3)weight of Bruce = 12 pounds less than three times the weight of

                                               Dylan.

To Find: How much more does Bruce weighs than Alan .

Solution:

weight of Dylan= 45 pounds

weight of Alan= 3 pounds more than twice the weight of Dylan

                        = 3 + ( 2×45)  pounds

                        = (3+ 90) pounds

                        = 93 pounds  

weight of Bruce= 12 pounds less than three times the weight of Dylan

                          = (3× 45) - 12  pounds

                          = (135) - 12 pounds

                          = 123 pounds

therefore, the amount by which Bruce weighs more than Alan will be given by:

weight of Bruce - weight of Alan

= 123 pounds - 93 pounds

= 30 pounds

Hence, Bruce weighs 30 pounds more than Alan.


Related Questions

cost of 105 envelopes is rupees 35 how many years can be purchased for rupees 10​

Answers

Answer:

Step-by-step explanation:

in 1rupee, (105/35) envelope can be purchased

then

in 10 rupees, (105*10)/35  envelopes can be purchased

in 10 rupees, 30 envelopes can be purchased

i hope this will help you

guys pretty pls help :3

Answers

Answer:

See description.

Step-by-step explanation:

The first way you could use 60/5 is you could say the 60 students need to be divided into 5 buses. The second way you could use 60/5 is you could do 60 students divided into five groups of areas.

PLEASEE HELPP
Which system of equations would be best solved using Substitution?
1. -2x + 5y = -1
2x + 5y = 11

2. 2x = 10
y=-3

3. 3x + 7y= 21
4x – 3y = -9

4. y=2/3x+5
2x - 6y= -42

Answers

Step-by-step explanation:

1. The best way to solve this one would be elimination

  Both the equations have the same term, 5y

  Since neither variable is isolated, it wouldn't be easy to use the method of substitution

2. Both the equations only have x or y

   SInce neither of the equations has both the variables, substitution is impossible

3. Same as 1, just that you would need to multiple one of the equations by a certain number to create equal terms to make elimination possible

4. It's perfect!!! The y is isolated and it would be simple to just substitute the first equation into the 2nd (I hope you got what I meant)

4, is the correct answer

I hope this helps!!!

Answer:

4. y=2/3x+5

2x - 6y= -42

Step-by-step explanation:

Hello please help me solve this :) will give braisnlt

Answers

Answer:

1.E

2.H

3.F

4.D

5.A

6.G

7.B

8.C

Step-by-step explanation:

I don’t think you have it in

help me please! it’s due monday:)

Answers

Answer:

Ground level would be 0cm

Step-by-step explanation:

Since the ground level is the starting point or the base it would be considered 0cm.

Which expression has the smallest value and why?
a. |-19|
b. - |-34|
C. - |11|
d. | 47 |

Answers

Answer:

- 11 i think

Step-by-step explanation:

Im not aure but let ssee if someone will help

Which expression is equivalent to
13c + 9f - 7f + 3c + 15 - 2

Expression 1: 16e + 2f + 13
Expression 2: 28e + 2f + 1
Expression 3: 22e + 8f + 1
Expression 4: 6e + 12f + 13 ​

Answers

Answer:Sorry but none where c there e but no c .

But it would be 16c +2f +13 .

Step-by-step explanation:you need to combine like terms

which are 13c +3c =16c and 9f- 7f=2f and 15-2 =13 .

Hope it helps .

find the least common multiple of 7,3,2

Answers

- least common multiple of 7, 3, 2 = 42

Answer:

42

Step-by-step explanation:

These are all coprime, so the lcm is 7 * 3 * 2 = 21 * 2 = 42

5 star, thanks, and brainliest if helpful!

3c-5-4c=-15 solve for c

Answers

Answer:

c=10

Step-by-step explanation:

First combine like terms by doing 3c-4c to get -1c-5=-15. Then add 5 to both sides to get -1c=-10. Then divide by -1 on both sides to get c = 10

2 • (3 • 7) and (2 • 3) • 7 = ?

Answers

Answer:

First one is 42 and the second one is 48.

Step-by-step explanation:

Start with parentheses. I'll use the first one as an example. 3 x 7 is 21. Now that the parentheses are done, multiply it by whatever's left. 21 x 2, that's 42. For the other one, 2 x 3 is 6, x 7, is 48. Have a good day :)

Solve the proportion: 80/100=68/m

Answers

The answer is 6800 = 80m

right now need answer now ok please do not do wrong

Answers

Answer: -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Use the factor theorem to determine if the given binomial is a factor of f (x).
f(x) = x4 + 8x3 + 11x2 -11x + 3; (x + 3)

Answers

Answer:

The binomial is a factor

Step-by-step explanation:

In order to show that x+3 is a factor of the polynomial, then;

f(a) = 0

Get a by equating x+3 to zero

x+3 = 0

x = -3

Get f(-3)

f(-3) =  (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3

f(-3) = 81 - 216 + 99 + 33 + 3

f(-3) = 216-216

f(-3)  = 0

Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial

Please help me answer this question!!!!

Answers

9514 1404 393

Answer:

  y = 4x +3

Step-by-step explanation:

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find the slope to be ...

  m = (11 -7)/(2 -1) = 4/1 = 4

__

The y-intercept can be found from the relation ...

  b = y -mx

Using the slope we found, and the first line of the table, we find the intercept to be ...

  b = 7 -4(1) = 3

__

Then the equation is ...

  y = mx +b . . . . . . slope-intercept form of the equation for a line

  y = 4x +3

39÷702=
What is the remainder

Answers

The answer is 18 with a remainder of 0.

Answer:

= 18 R 0

= 18

Step-by-step explanation:

YAY SO MANY POINTS

Help me plssss hurry!!!!Which expressions are equivalent to 6+(-4) - 5?
Choose 2 answers:
А. -(-6+4) – 5
B. 6-4-(-5)
C. 6-(4+5)
D. 6+4-5
E. -(-6) + (-4) – (-5)

Answers

Answer:

a)

c)

...................

one number is reciprocal to another and Arithmetic mean between them is 5/4 find them​

Answers

Answer:

2, 1/2

Step-by-step explanation:

Arithmetic mean of two numbers is given as

[tex]n=\frac{a+b}{2}[/tex]

Here a=x and b=1/x

[tex]n=\frac{x+1/x}{2}[/tex]

[tex]\frac{5}{4} =\frac{x^{2}+1}{2x}[/tex]

[tex]\frac{5}{2}x=x^{2} +1\\ x^{2}-\frac{5}{2}x+1=0[/tex]

[tex]x=2, \frac{1}{2}[/tex]

Hence the numbers are 1/2 and 2.

What is a reciprocal?

If x is any real number, then the reciprocal of this number will be 1/x. For example, the reciprocal of 5 is 1 divided by 8, i.e. 1/5.

Step by Step Explanation:

Given, one number is reciprocal to another.

So if we choose the first number to be x , the the other number becomes its reciprocal i.e. 1/x.

Now, it is given that the arithmetic mean of these two numbers is 5/4.

So using formula for arithmetic mean ,

Mean = Sum of Observations / No. of observations

[tex]\frac{5}{4} =\frac{x+\frac{1}{x}}{2} \\\frac{5*2}{4}= \frac{x^{2} +1}{x} \\\frac{5}{2} =\frac{x^{2}+1}{x} \\[/tex]

On cross Multiplication and Factorization, we get:

[tex]5x=2x^{2}+2\\2x^{2} -5x+2=0\\2x^{2} -4x-x+2=0\\2x(x-2)-1(x-2)=0\\(2x-1)(x-2)=0\\2x-1=0 , x=1/2\\x-2=0 , x=2[/tex]

So , when x=1/2 , then 1/x=2

and when x=1/2 , then x=2

Hence,  the numbers are 2 and 1/2 .

Learn more about reciprocals at :

https://brainly.com/question/2534506

#SPJ2

Solve

1+−=0
2 − 2 = 4

Answers

Answer:

Both questions are inaccurate.

Step-by-step explanation:

You cannot have a +- next to each other without a number on the right of it.

Also 2-2=0 not 4.

can u pls help me with this question asap ​

Answers

Answer:

90

Step-by-step explanation:

Basically 90 precent of 100 is 90

A camera has a listed price of $699.98 before tax. If the sales tax is 6.25%, find the total cost of the camera with sales tax included.

Answers

Answer: 742.68

Step-by-step explanation:

the distance between each pair of points ( -8,3) and (-8,4)

Answers

Answer:

uhvyfhxesegxt&6&6&#^π¢π¢

(0,2).................

please help me with this question ( im going to fail my classes-)

Answers

Answer:

u will not fail i promise

Step-by-step explanation:

and the answer is the first becz we have to see the difference in arthimatic terms

Answer:

product

Step-by-step explanation: product means solution of two thingies being multiplied with each other i think

Which table shows a proportional relationship between x and y?

Answers

Answer:D

Step-by-step explanation:

This is D because your dividing by 5 or each one and thats how you get Your output number

Proportional relationship between x and y is x/y = 5. Only table D shows a proportional relationship between x and y.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in other expression as well. Generally it is represented as x/y = k, where x and y are two expressions and k is constant.

In order to solve this problem, first we’ll have to figure out the proportionality ratio between the x and y.

that is x/y = k (let), it should be constant.

In the table A;

first term, 3/4 = 0.75

second term, 10/6 = 1.667

Since the value of constant is not the same. Therefore the table A does not show the proportional relationship between x and y.

In the table B;

first term, 4/2 = 2

second term, 8/4 = 2

third term, 12/8 = 1.5

Since the value of constant is not the same. Therefore the table B does not show the proportional relationship between x and y.

In the table C;

first term, 12/6 = 2

second term, 14/12 = 1.667

Since the value of constant is not the same. Therefore the table B does not show the proportional relationship between x and y.

In the table D;

first term, 5/1 = 5

second term, 10/2 = 5

third term, 15/3 = 5

Since the value of constant is the same in every term. Therefore the table B shows the proportional relationship between x and y.

Therefore, proportional relationship between x and y is x/y = 5. Only table D shows a proportional relationship between x and y.

To learn more about the proportional relationship;

https://brainly.com/question/28777033

#SPJ2

Solve.

6x−13=2x+7


2

3

5

6

Answers

Answer: x = 5

Step-by-step explanation:To solve this you first need to collect the like terms 6x-2x=7+3. Add those 4x=20. After that you need to divide both sides. Then you will get you solution.

Answer:

Step-by-step explanation:

6x−13=2x+7

Inverse operation:

6x into a negative then subtract it by 2x

2x - 6x = -4

Change 7 into a negative then subtract it by -13

-13 - 7 = -20

-20 = -4x

Divide:

-20 = -4x

_______

-4       -4

-20/-4 =  5

Answer:

5 = x or x = 5

Someone plzzz helppp? I need this it’s 8th grade mathh

Answers

y = 10x + 5.

the total cost of canoe renting is $10 per hour plus a $5 daily rate

help asap plspls !! :)

Answers

the one that your cursor is on,, it includes the shapes
The one that includes the shapes

any help please for my class

Answers

Answer:

Step-by-step explanation:

do 700/20

700/20 = $35 each

hope this helps <3

Answer:

35

Step-by-step explanation:

700/20 = answer

20 tickets: $700

divide by 20 on both sides to get price of one ticket/ unit price

1 ticket: $700/20

1 ticket: 35!

Please help ASAP!!!!

Answers

Answer:

it's answer is y = + √x - 1 Yes

Step-by-step explanation:

Hope it will help :)❤

on the first of january 2014, carol invested some money in a bank account. The account pays 2.5% interest per year. On the first of january 2015 carol withdrew £1000 from the account. On the first of january 2016, she had £23517.60 in the account. Work out how much carol originally invested in the account

Answers

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

What are arithmetic sequences

Answers

In an arithmetic sequence, the difference between consecutive terms is always the same. For example, the sequence 3, 5, 7, 9 ... is arithmetic because the difference between consecutive terms is always two.
Other Questions
Write the equation of the graph shown below in factored form. a. f(x)=(x-2)^2(x+1)(x-3)b. f(x)=(x+2)^2(x-1)(x+3)c. f(x)=(x+2)^2(x+1)(x+3)d. f(x)=(x+2)^2(x-1)(x-3) URGENT!!!Which function is shown in the graph? Find the x- and y-intercepts of the graph of the linear equation 6x+9y=18. Why do you think 100 million sperm cells are released during ejaculation if only one sperm is needed to fertilize an egg? Can somebody help me? Make it right. Find the inequality represented in the graph These are often found on rotting materials; they cannot move and therefore live onother dead and decaying materials? 3 over 2 + x = 7 over 4 whats x? What makes a person psychology insane?LIke in a way that they are able to also make others go insane PLEASE HELP MEEEHow did the Peace of Westphalia weaken the Catholic Church's power?A.It allowed peasants to select Protestant clergy to serve in their towns.B.It recognized that kingdoms could choose their own religions.C.It included a truce between the church and the Ottoman Empire.D.It declared that the divine right of kings was false. What happened to the British national debt between 1739 and 1775? The triangles below are similar. Find the length of x Frost wedging is a type of: -Biochemical weathering-Physical weathering-Chemical weathering-Biological weathering primary source vs secondary source The two-way frequency table below shows data on whether medicine was taken and cold length forparticipants in a study conducted by The Cold Be Gone Company.Complete the following two-way table of column relative frequencies.(If necessary, round your answers to the nearest hundredth.)PLEASE HELP The polynomial x3+ 2x2+ 7x4 3 represents the shape of a blender. Select all the statements that are true about the blender.A.The degree of the polynomial is 3.B.Written in standard form, the polynomial is 7x4+x3+ 2x2 3.C.The sides of the blender are increasing for all real numbers.D.The sides of the blender are similar to f(x) =x.E.The blenders sides increase to the left and to the rightwhile i dont know if there is more i do know that b and e are correct I RLY NEED HELP, WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!! What were the goals of the Progressives, and to what extent did they achieve them? Write one or two paragraphs to address this question. Support your conclusions with reasons and evidence from the lesson. select all the rational numbers Which competition is the most important soccer competition in the world ?a - National championship b - World Cupc - olympics A group of people were asked if they had run a red light in the last year. 248 responded "yes", and 106 responded "no".How do I solve this?