Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's weight would still be 1/4 pound less than he did in January. What is Euclid's weight? (a) Write an equation that represents the scenario. Begin by defining your variable (b) Solve the equation. Show your work. (c) What is Euclid's weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined 1 pounds. What is Riemann's weight, and what is Pythagoras's weight? weight of the three dogs is Show your work.​

Answers

Answer 1

The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.

Let the current weight of Euclid = xLet the current weight of Pythagoras = TLet the January weight of Pythagoras = y

The expression that represents the given scenario is written as;

when Pythagoras lost 13 pounds: T =  y - 13when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x

when Pythagoras weight is 1/4 pound less than weight in January:

T + 1.2x + 0.25 = y

y- 13 + 1.2x + 0.25 = y

1.2x - 12.75 = 0

Euclid's weight is calculated as follows;

1.2x = 12.75

[tex]x = \frac{12.75}{1.2} \\\\x = 10.625 \ pounds[/tex]

The weight of Riemann is calculated as follows;

[tex]= 2 (10.625)\\\\= 21.25 \ pounds[/tex]

Learn more about word problem to algebra here: https://brainly.com/question/21405634


Related Questions

A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level

Answers

The current depth of the hole is at least 20 feet below ground level.

Inequality is an expression that shows the non equal comparison of numbers and variables.

Let d represent the current depth of the hole.

To be at least 40 feet below ground level, he need more than 2 times its current depth.

2d < -40

d < -20

Hence the current depth of the hole is at least 20 feet below ground level.

Find out more on inequalities at: https://brainly.com/question/11613554

Answer:

20 feet below

Step-by-step explanation:

HELP PLEASE TAKING A TEST RIGHT NOW
the graph shows a system of equations
what is the solution to the system of equations?
a. -3, 2
b. 3, -2
c. 3, 2
d. -3, -2

Answers

The correct answer is C

The answer is where the lines internet which are the coordinates 3, 2. So it’s C.

Brent buys a dinning table that costs $150 before tax. The sales tax is 8% . How much tax did he pay?

Answers

Answer:

12

Step-by-step explanation:

its just twelve beliebe me

71.841 to the nearest tenth

Answers

Answer:

71.8

Step-by-step explanation:

71.841:

The 4 represents the number that we'll be looking at since 4 is the next position to the right of 8, 8 is in the Tenths place. 4 is in the Hundredths place, and 4 will be the only number that could round up the 8.

How?

In order to round, we need to remember how to round numbers:

If the digit is less than 5, the number to the left stays the same.If the digit is greater than, or equal to 5, the number to the left rounds up, or increases by 1.

Solve:

First, 4<5, meaning that 4 is less than 5.

#1 above is stating that the number to the left of 4 stays the same.

If we use that rule:

71.8 is our answer.

A movie theater charges $9.75 per ticket. Monday through Thursday they make on average $2720.25 daily. How many
customers do they have on an average Tuesday?
a. 279 customers
c. 70 customers
b. 272 customers
D. 26552 customers

Answers

Answer:

Your anwser would be A mark brainliest please and thank you

Step-by-step explanation:

QRS is similar to XYZ.of QR=5,QS=7,and XY=30 find the value of XZ

Answers

QR is equal to XY so 30 divided by 5 is 6. So QS is also equal to XZ, multiply 7 by 6. The answer is 42

A recipe requires 1/3 cup of water for every 2/5 cups of sugar. How much
sugar would you need for a full cup of water?

Answers

Answer:

1 1/5

Step-by-step explanation:

A rectangular swimming pool is 4 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet.
Find the dimensions of the pool.

Answers

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2

=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?

Answers

Answer:

0.83

Step-by-step explanation:

Let the price is x.

With 17% discount it becomes:

x - 17% of x =x - 0.17x = 0.83x

The number we need is 0.83

Solution,

Assume That The Price is x

When Will Put It in Equation,

[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]

[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83

Hence, Required Price is 0.83

Write an equation in slope-Intercept form for the line with slope 2 and y-Intercept - 1. Then graph the line.

Answers

Answer:

Solution given in the photo

Find the exact value of tan π/12.

Answers

[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]

so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]

I NEED HELP ON QUESTION B AND C ASAP.

Answers

Answer:

See below

Step-by-step explanation:

Part B

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cmPart C

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

Total sand in the bottom part:

7.96 + 4.6 = 12.56 cm³

Time taken:

12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds

can anyone slove this question pls ​

Answers

we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3

ANSWER : -2 and -3

ok done. Thank to me :>

What number group includes only the counting number and 0

Answers

Answer:

Integers

The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero)

Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.

Answers

Answer:

$572

Step-by-step explanation:

Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572

y = -5x+1 linear or nonlinear

Answers

It is linear because the x does not have an exponent (which would determine the graph to be a curve) such as x^2, x^3, etc.

Helppppopleaseee????

Answers

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

The ratio of good guys to bad guys was 15 to 4. If there were 75 good guys, how many bad guys were there ?

Answers

[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]

Number of bad guys = 12

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Ratio of good to bad guys = 15:4 = 15/4

No. of good guys = 75

Let the no. of guys be x

⇒ 15:4 = 75:x

⇒ 15/4 = 75/x

Cross multiplying

15 x = 75×4

x = (75/15)×4

No. of bad guys = (75/15)×4

                           = 3 × 4

No. of bad guys = 12

Hence, there are 12 bad guys.

Learn more about ratio here:

https://brainly.com/question/29192438

#SPJ2

Help help math math math please

Answers

Answer:

x = 5

Step-by-step explanation:

2x+15 = 4x+5 (because they are corresponding angles)

10 = 2x

x = 5

Answer:

x = 5

Step-by-step explanation:

Ryan and Caiden both bought roses from the market. If Ryan paid $174.93 for 7 dozen roses, how much did Caiden pay for 4 dozen roses?

Will give the crown thing

Answers

99.84 dollars. 1 rose costs 2.08 because 174.93/84=2.08.

2.08 x 48 = $99.84

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?

Answers

[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]

-10-9-8-7 -6 -5 -4 -3
-2.1
0
1 2 3 4 5
6
7 8 9 10
3) Which inequality matches the graph?
A) X > .2
B) X <-2
C) x = -2
D) 3.2

Answers

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

How do you dived a fraction with a number like for an a example:

4/10 divided 2 = ?

Please explain step by step to get marked as brainliest!

Answers

Step-by-step explanation:

I assume you mean how do you divide a fraction by a whole number

In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule

The "Keep" means we keep the first fraction the same.

Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2

Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.

Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.

Hope this helps.

Answer:

you can use KCF for this answer as well

Step-by-step explanation:

2 as a fraction would be 2/1

you need 4/10 divided by 2/1

applying KCF, you change it to be 4/10 multiplied by 1/2

solve to get 4/20 or simplified 1/5

hope this helped :)

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

c. copy an angle.

there's no angle in this as far as I can see.

What is the diameter of circle 0?

Answers

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
On a number line, point O is at -7, and point P is at 8. Point N lies between points O and P. If the ratio of ON to NP is 4:8, where does point N
lie on the number line?
Point N is at
on the number line.

Answers

Answer:

  N is at -2 on the number line

Step-by-step explanation:

The location of point N can be found by writing the segment lengths as a proportion.

  ON : NP = 4 : 8

  8(ON) = 4(NP) . . . . . . . . "cross multiply"

  2(N -O) = (P -N) . . . . . divide by 4, show lengths ON and NP

  2(N -(-7)) = 8 -N . . . . . use given values of O and P

  3N = -6 . . . . . . . . . . . add N-14 and simplify

  N = -2 . . . . . . . . . . divide by 3

Point N is at -2 on the number line.

If the ratio of ON to NP is 4:8, point N lie on the -2 at the number line.

Point O is at -7.

Point P is at 8.

The ratio of ON to NP is 4:8.

The ratio 4:8 simplifies to 1:2. This means that ON is one-third of the total distance from O to P, and NP is two-thirds of the total distance.

The total distance from O to P is the sum of the distances between O and N, and between N and P.

As the ratio of ON to NP is 1:2, and the total distance is 15 (8 - (-7) = 15), we can set up the following equation:

ON/NP = 1/2

ON/(15 - ON) = 1/2

Now we can solve for ON:

2 × ON = 15 - ON

3 × ON = 15

ON = 5

So, ON is 5 units away from O.

Now O is at -7, point N is at -7 + 5 = -2 on the number line.

So, N is at -2.

Learn more about number line here:

https://brainly.com/question/24644930

#SPJ3

Help help help help math math

Answers

A straight Angel = 180° so if you know one side of it which is given as 72° then that would be 180-72= 108° for angle 4

A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
plz show work too plz

Answers

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

Solve the proportion where necessary, round to the nearest hundredth 12/13 = X/13

Answers

Answer:

12

Step-by-step explanation:

12 / 13 = x / 13

Cross Multiply,

12 * 13 = 13 * x

x = ( 12 * 13 ) / 13

x = 12

A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:

Answers

Answer:

$290,000

Step-by-step explanation:

Total cost = total variable cost + fixed cost

= 5000×328 + 120000

= 1640000+120000

=1760000 $

The jeans maker earns in total = 5000 × 410

= 2050000 $

So the income is

= 2050000 – 1760000 = 290000 $ ( Answer)

If the number of units is 5,000. Then the income will be $290,000.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.

Let 'x' be the number of units. Then the equation is given as,

Income = Selling cost - Variable cost - Fixed cost

Income = $410 x - $328 x - $120,000

Income = $82 x - $120,000

If the number of units is 5,000. Then the income is calculated as,

Income = $82 (5,000) - $120,000

Income = $410,000 - $120,000

Income = $290,000

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Other Questions
I need help with this solve FINAL PART OF MY HW!!! PART 6!!! IT IS STILL UNIT RATE!!!!! Zoe jogs 34 of a mile every 15 of an hour.How many miles does Zoe jog per hour?320 mile415 mile334 miles623 miles I cause acid rain ______.A) water pollution B) air pollutionC) land pollution. D) noise pollution when the night is cold pain make you warm. what is the greatest common factor of 32 and 56 To be successful in life, one has to be able to professionally communicate and collaborate with others whether you are fans of them or not. Successful people are able to create a team environment where everyone establishes a fair, safe, productive, and harmonious rhythm with one another. An effective strategy to create this setting is by establishing group norms. These are basically rules, cultural agreements, behaviors, and actions, etc. that everyone in the group agrees to abide by at all times.a) If you were leading a team right now, what would be your top 3-4 norms that you would want to pitch to your groupmates?b) Explain why you think each of your norms would be effective in helping to establish a harmonious, safe, fair, and productive team environment. Define the following sequence recursively:4, 15, 26, 37, ... Hi someone please help Item 3 Is this statement true or false? Impressionist paintings by John Twachtman depict a moment in time. QUESTION 7 of 20: Money market refers to: Read the text above and fill in the gaps with correct words fro box. harmful violent appealing global culture obesity additives calories preservatives (a) TV advertisements for junk food look very........... (b) Junk foods are low in nutritional value but high in.. (c) Pop music and junk food have become... (d) The increase of junk food is directly associated with an increase in (e) Children who are used to taking junk food are likely to become.., later in life. (f) Junk food is very.. ......to health. nin one gondfinde todo The area of the Mountain Island Educational State Forest in North Carolina is 3 square miles. What is the area, in square yards, of this forest 11. What is the literary significance of Washington Irving's stories?They are the best examples of the American Rationalist tradition.They were more popular than the writings of Benjamin Franklin.They are the first stories to be set in the United States. .They are the earliest examples of American Romanticism. what is the difference between social security and supplemental security income? Select the best answer for the question.5. Which of the following sentences uses intensive pronouns correctly?A. Ari and myself are the best students in the class.B. Myself and James owe you a great deal.C. Him himself knows the only way to beat the game.D. She herself will be the one to light the torch. Jillian is making accessories for the soccer team. She uses 677.46 inches of fabric on headbands for 38 players and 4 coaches. She also uses 366.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player? What is the volume of a cube with sides of length 9m? Which of the following best explains the changes on the map between 1644 and 1800? 5Which three organ systems are directly interacting when a person's brain sends a signal to the person's arm, causing the arm tomove up and down?OA. muscular system, nervous system, skeletal system.nervous system, urinary system, skeletal systemOC. circulatory system, muscular system, respiratory systemOD. circulatory system, muscular system, skeletal systemResetSubmit4 of 10 AnsweredSession Timer: 0:29Session Score: 50% (2/4)