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 á pound less than he did in January. What is Euclid's weight?
4
(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
weight of the three dogs is 603 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.

Answers

Answer 1

We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

a) P - 13lb + 1.2*E = P - 1lbb) E =  10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.

We start by defining the two variables we will be using:

E = Euclid's weightP = Pythagoras's weight

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

If you want to learn more about algebra, you can read:

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Answer: x=14

Step-by-step explanation:

4+x/7=2

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find the concentration of sugar in the tank after 10 minutes.​

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Answer:

C(t) = 6/55

Step-by-step explanation:

Given:

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Work:

[tex]C(t)= \frac{4 +2t}{120+10t} \\\\C(t)= \frac{4 +2(10)}{120+10(10)}\\\\C(t)= \frac{4 +20}{120+100}\\\\C(t)= \frac{24}{220}\\\\C(t)=\frac{6}{55}[/tex]

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Step-by-step explanation:

The rule is to add 5 to each number to make next number

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7+x÷y is a ______( type of polynomial)​

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In the diagram below, ST is parallel to PR

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Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

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Step-by-step explanation:

Answer:

The answer is -310.777777778

Step-by-step explanation:

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The two legs of right triangle measures 6 and 8 inches respectively. What is the area of the circle that contains all 3 verticals of the triangle

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Answer:

See image.

Step-by-step explanation:

Remember if you have a right angle inside of a circle, the hypotenuse is going to land exactly on the diameter. Also, Area of a circle = (pi)r^2 Lastly, remember pythagorean triples such as 3,4,5 or at least, the Pythagorean theorem a^2 + b^2 = c^2

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

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Answer:

A ball is thrown vertically upward with a speed of 25.0 m/s

en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2

Answers

Answer:

Step-by-step explanation:

Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image

The domain of the function are all real numbers greater than or equal to 0.

What is domain and range of a function?

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

If the graph is reflected over the x-axis, then we need to find domain of the function.

Domain means all the x values on the graph. The x values  that you can literally see on the graph and for what you can't see it's all the x values  you can put into the equation...for this graph.

when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.

So the y values  (range) are VERY different on the graph and its reflection.

Therefore, The domain of the function are all real numbers greater than or equal to 0.

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Find the equation of the line passing through point (-1, -2) and having
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Answer:

Y=1/5x+ -2

Step-by-step explanation:

Hope this helps

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Answers

if 17x-18=7x

then 17x-7x=18

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x=1.8

Ok done. Thank to me:>

write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.

Answers

Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

What is the SSS Congruence Theorem?

The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.

We are given the following information:

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When Damian runs the 400 meter dash, his finishing times are normally distributed
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Answers

The middle 99.7% is within 60 seconds to 63 seconds.

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

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Evaluate the expression for the given values.
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Answers

Answer:

4

Step-by-step explanation:

Substitute: [tex]\frac{\frac{12}{2} +5*6}{3*3}[/tex]

Cross out the common factor: [tex]\frac{6+5*6}{3*3}[/tex]

Calculate the product or quotient: [tex]\frac{6 +30}{3*3}[/tex]

Calculate the product or quotient: [tex]\frac{6+30}{9}[/tex]

Calculate the sum or difference: [tex]\frac{36}{9}[/tex]

Cross out the common factor: [tex]4[/tex]

Answer: [tex]4[/tex]

12* 1/2 + 5*6/3*3

6 + 30/9

6 + 10/3

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5x – 1 = 7x – 4


operacion y comprobacion prfa

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Answer:

x=3/2 Espero que esto te ayude

Answer:

x=3/2

hope this helps mate

The map shows the location of four places in a city:

Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.

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(1, −4)
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Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

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A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volume of this building to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

2878045.500 cubed metres

Step-by-step explanation:

volume = 1/3* pie* r*r*h

= 1/3 *3.14*165*165*101

=2878045.5 cubed metres

i hope it's helpful

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Answers

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

Michelle paid $3.00 per shirt. When she sells each shirt, she adds 150% markup to the price she paid for the shirt. What is the selling price for each shirt?

Answers

Answer:

$8.50 per shirt

Step-by-step explanation:

If the shirt was $3 originally, and they added 150% markup, 100% of 3 is 3.

so a 100% markup of a $3 shirt would be 6 dollars.

But since she marked it up 150%, you have to know 50% of $3.  

50% of something is half, so

3 / 2 = 1.5

so ontop of the $3 extra, she adds $1.5, so

3 + 3 + 1.5 = 8.5

Michelle will sell the shirts for $8.50 each

If y = 6, what is the value of x given 8x + 5y = 62?
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Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

Which expression is equivalent to 5(x + 7)?​

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Answer:

5x+35

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?

Answers

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

The two angles must be equal (∠ABC = ∠MNO).The radius of the two triangles must be equal.The radius from center N must be equal to radius BA and BC.The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

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Solve for x
x/6=10
1) x=10
2) x=60
3) x=4
4) x=16​

Answers

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

Answer:

2) x = 60

Step-by-step explanation:

x/6=10

multiply both side by 6

x = 10*6

x = 60

✌️❤️✌️

A student missed 15 problems on a mathematics test and received a grade of 80%. If all the problems were of equal value, how many problems were on the test?

Answers

Answer:

75 problems

Step-by-step explanation:

Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:

(x-15)/x = 0.80

x-15 = 0.80x

-15 = -0.20x

75 = x

Therefore, there were 75 problems on the test

Need help a lot stuck

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Answer:

yes, sounds linear.

this is an mx + b scenario.

here's the model:

y = )3/1)x + 50

or

y = 3x + 50

where the 1 in the slope denominator is a square foot.

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Answer: I dont understand the question

Step-by-step explanation:

find the height of the tree

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Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.

Take the missing side as 'x'.

The corresponding sides here are,

■ 7 & 14 ft

■ 5 & x ft

7/14 = 5/x

7x = 5 × 14 (cross multiplication)

7x = 70

x = 70/7

x = 10 ft

Height of the tree = 10 ft.

_____

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3x+y=5
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Plsss help i need step by step plsss 9th grade

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

3x + y = 5

y = 5 - 3x

-----

2x - (5 - 3x) = 0

2x + 3x - 5 = 0

5x - 5 = 0

5x = 5

x = 1

-----

3(1) + y = 5

3 + y = 5

y = 2

Step-by-step explanation:

1. you add 3x to the other side to get y=-3x+5

2. then for the other equation you subtract 2x to the other side to get -1y=2x

3.then you divide by -1 to get y=2x

y=-3x+5 and y=2x

100 points brainlyest if right

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Answer:

I don't know the question

Step-by-step explanation:

I would love to help tho

Answer:

you never put the question up for us to answer it

Step-by-step explanation:

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