Jill weighs 15 lbs. Less than Ken. Pete weighs 50 lbs. More than Jill. Eddie weighs 18 lbs. Less than Pete. How much does each weight, if the sum of their weights is 597?

Answers

Answer 1

Answer:

Jill  = 125lb

Pete = 175lb

Eddie = 157lb

Ken = 140lb

Step-by-step explanation:

Given

Represent Jill with J; Ken with K; Pete with P and Eddie with E

[tex]J = K - 15[/tex]

[tex]P = 50 +J[/tex]

[tex]E = P - 18[/tex]

[tex]J + K + P + E = 597[/tex]

Required

Determine the weight of each

Substitute 50 + J for P in [tex]E = P - 18[/tex]

[tex]E = 50 + J - 18[/tex]

[tex]E = J + 50 - 18[/tex]

[tex]E = J + 32[/tex]

Make K the subject in [tex]J = K - 15[/tex]

[tex]K = J + 15[/tex]

Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]

[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]

Collect Like Terms

[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]

[tex]4J = 500[/tex]

[tex]J = 500/4[/tex]

[tex]J = 125lb[/tex]

Substitute 125 for J in [tex]P = 50 +J[/tex]

[tex]P = 50 + 125[/tex]

[tex]P = 175lb[/tex]

Substitute 175 for P in [tex]E = P - 18[/tex]

[tex]E = 175 - 18[/tex]

[tex]E = 157[/tex]

Substitute 125 for J in [tex]K = J + 15[/tex]

[tex]K = 125 + 15[/tex]

[tex]K = 140[/tex]


Related Questions

Drag the numbers to order them from least to greatest.

Answers

-2.86, -0.37, 0.19, 0.91, 1.46
You have the right answer in the picture.

Analyze the student’s work. Is the answer correct? Explain.

Ik its not B

Answers

Answer:

im not 100 percent sure but i think he right

Step-by-step explanation:

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

Edge 2022

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels?​

Answers

Answer: 50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown. 4.2x + 3 + 5.7x – 2 + 5 – 2.6x 4.2x + 5.7x + 2.6x + 3 – 2 + 5 (4.2 + 5.7 + 2.6)x + 3 – 2 + 5 12.5x + 6 What was Renan's error in adding the expressions? He used the commutative property incorrectly. He used the distributive property incorrectly. He added incorrectly. He multiplied incorrectly.

Answers

Answer:

He used the commutative property incorrectly as he had no such addition of the property of any function to be done in sequence.

Answer:

He used the commutative property incorrectly. should be first answer good luck.

Step-by-step explanation:

4a 3b - C
per a - 3;
b = -1;
1; C = -2

Answers

Answer:

4×(-3)=12,3×(-1)=-3;+3,c=-2

Find 9,528 ÷ 6. help pls dis due today and its ez D:

Answers

Answer:

1588

Step-by-step explanation:

ok I did this my self the answer is 1,588

The buildings of a university are mapped on a coordinate grid with the origin being at library.

The Math building is located at the point (1, 5) and the History building is located at (4, 9).

How far is it from the Math building to the History building?

Answers

Applying the distance formula, the distance between the the Math building to the History building is: 5 units.

What is the Distance Formula?

To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).

Plug in the values into the distance formula:

d = √[(4−1)² + (9 − 5)²]

d = √[(3)² + (4)²]

d = √(9 + 16)

d = √25

d = 5

Distance between the the Math building to the History building is: 5 units.

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5.
The model represents the equation 3x - 2<4.
11:00 - 0000
What is the solution for this inequality?
Oxx-2
0x<-3
0x<6
0x<2
Copyright 2020
O
O

Answers

Answer:

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

[tex]3x -2 < 4[/tex]

Adding 2 on both sides

[tex]3x -2+2 < 4+2\\3x < 6[/tex]

Now, we will divide 3 on both sides

[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]

So, we get x < 2

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Please help! Quickly!!!!

Answers

Answer:

72, 48

Step-by-step explanation:

Each segment would be worth 12 hours. 6*12 is 72, 4*12 is 48. 72+48 is 120.

your friend volunteered 48 and you volunteered for 72 hours

CHIPS Some tortilla chips can be modeled by a triangle.
(6x + 3) mm
(2y + 4)
27 mm
(2y + 4

Answers

The value of x and y in the given model of triangle are 4 and 28 respectively.

What is an equilateral triangle?

An equilateral triangle is a triangle in which all sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60°.

Given a tortilla chips that can be modelled as a triangle,

The sides and angles are labelled equal, so the given chips is an equilateral triangle

6x+3 = 27

6x = 24

x = 4

And, 2y+4 = 60°

2y = 56

y = 28

Hence, The value of x and y in the given model of triangle are 4 and 28 respectively.

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Edward spends £610 on a plane ticket and $180 on airport tax. Using £1 = $1.34, what percentage of the total cost does Edward spend on airport tax? Give your answer rounded to 1 dp.

Answers

Answer: 18.0%

Step-by-step explanation:

Given: Cost of plane ticket =  £610  = $ 610 x 1.34      [ £1 = $1.34 ]

= $ 817.4

Airport tax = $180

Total cost = $(817.4+180)= $997.4

The percentage of the total cost does Edward spend on airport tax = [tex]\dfrac{180}{997.4}\times100\approx18.0\%[/tex]

Hence, the required answer = 18.0%

Choose the correct zeros for the following quadratic function.
f(x) = x^2 + 5x - 14
A. {1,3}
B. {4, -3}
C. {2, -7}
D. {2, -1}

Answers

Answer:

I'm pretty sure its C

Hope that helps :)

(x+7)(x-2)=0
x=-7,2

The answer is C

Simplify 4 (x3 – 3y2) – 2 (3x3 – 5y2)

Answers

[tex] \huge \bold{answer}[/tex]

Which of the following statements is NOT a property of parallelograms?

1. Opposite angles are congruent.

2. Opposite sides are congruent

3. All angles are right angles.

4. Consecutive angles are supplementary.

Answers

Answer:

3

Step-by-step explanation:

took the test

also parallelograms are the slanted ones so they dont  always have the 90 degree angles.

The non-necessary property of a parallelogram is All angles are right angles.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

GIven that, what can not be a property of parallelograms

All the properties given in the option are correct for a parallelogram, but the option saying all angles should be a right angle, is not a correct one, because it is not necessary for a parallelogram to have all four angles 90°, it is only in two types of special parallelograms, that are rectangles and squares.

Hence, the non-necessary property of a parallelogram is All angles are right angles.

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Solve 5/2 x > 5. Graph the solution.

Answers

Answer:

x > 2

see photo

Em de terminado dia, sofia voltava de sua casa 2h30min acima do horario que sua mãe determinou para sua própria segurança . Sabendo que o horário que sua mãe determinou foi as 20h, qual horário que ela estava voltando?

Answers

Responda:

22:30

Explicação passo a passo:

Dado que :

Hora definida pela mãe = 20h00

Número de horas além do tempo definido = 2 horas e 30 minutos

Hora em que ela voltou para casa:

(tempo definido pela mãe + número de horas além do tempo definido)

(20h + 2 horas e 30 minutos) = 22h30

A roll of nickels is worth $2.00. Write and solve an equation to determine the number of nickels in a roll.

(NEED TO SHOW WORK)

Answers

Answer:

Being that every nickel is worth 5 cents you would set the equation up as 17  *  $0.10 = $1.70

Step-by-step explanation:

Sarah was thinking of a number. Sarah doubles it and gets an answer of 4.5. What was the original number?

Answers

Answer:

2.25

Step-by-step explanation:

Just half 4.5 and you should get 2.25 which is quite easy to be honest

Answer:

2.25

Step-by-step explanation:

4/5/2=2/25

7th grade math, please help. I’ve got an answer but I wanna make sure it’s right. Thanks.

Answers

Answer:

yes your right buddy

Step-by-step explanation:

Answer:

im in 9th and i still cant do this :(

The total cost of a pair of pants and a jacket was $59.01. If the price of the pair of pants was $1.49 less than the jacket, what was the price of the pair of pants? Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Answer:

The answer is 788

Answer:

28.52?

Step-by-step explanation:

1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
a) 2x3 - x2 + x + 9
b) 2x2-x+1
C) 2x2 - x + 1 + 9/x-2
d) 2x2_9x - 15 - 23/x-2

Answers

The correct answer is b


[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection​

Answers

Answer:

They are the same slope

Step-by-step explanation:

When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]

Find the sum.
(12p+ 9) + (4p - 3)
A. 12p+ 6
B. 16p+6
C. 16p+ 12
D. 16p - 6
SUBMIT

Answers

Answer:

B. 16p+6

Step-by-step explanation:

Answer:

B . 16p + 6

Step-by-step explanation:

12p + 9 + 4p -3

collect like terms

(12p + 4p) + (9 - 3)

16p + 6

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?

Duck Pond Samples
Sample 1
Sample 2
Mallard
13
Mallard
12
Wood Duck
4
Wood Duck
2
Green Wing Teal
6
Green Wing Teal
6
American Widgeon
2
American Widgeon
5
Mallard population
duck population
proportion of Mallards
sample of Mallards

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) Mallard population

Step-by-step explanation:

Which statements about circle O are true? Select three options. The radius of circle O is 13. The diameter of circle O is 34. LP is a diameter of circle O. ∠LMP intercepts a semicircle. The measure of arc LP is 90°.

Answers

Answer:

The radius of circle O is 13

LP is a diameter of circle O.

∠LMP intercepts a semicircle.

Step-by-step explanation:

The missing image is attached in the diagram below.

From the diagram;

we can determine the length LP by using the Pythagoras theorem.

i.e.

hypotenuse² = opposite² + adjacent²

LP² = ML² + MP²

LP² = 24² + 10²

LP² = 576 + 100

LP = [tex]\sqrt{676}[/tex]

LP = 26

Since line LP cuts the circle into two equal halves, we can say the line LP is the diameter of circle O.

if the diameter (LP) = 26

Then, the radius r = 26/2 = 13

The radius of circle O is 13.

Similarly, the arc LMP is 180° (∵ inscribed angle is 1/2 the measure of central angle), and LMP is 180°, then ∠LMP intercepts a semicircle.

Answer: A) The radius of circle O is 13.

              C) LP is a diameter of circle O.

              D) ∠LMP intercepts a semicircle.

Step-by-step explanation:

om edge

HELP ME PLS A Coast Guard boat is trying to reach a sailboat. Which are the coordinates of the location of the sailboat?

Answers

answer:
top right.
(6,-2)

Due in 11 minutes please help me ASAP

Answers

Answer: (d)

Step-by-step explanation:

Given

No of tickets sold can be given by the equation

[tex]35x-260>1000[/tex]

Solving inequality

adding 260 on both sides

[tex]35x-260+260>1000+260\\35x>1260[/tex]

Now, divide the inequality by 35

[tex]x>\frac{1260}{35}\\x>36[/tex]

Thus artist need to sell a minimum of 37 tickets to earn more than $1000

Please help!!!
What is the solution to this equation?
x- 15 =8
OA. X = -7
OB. X = 23
OC. X = 7
OD. X = -23

Answers

Answer:

23

Step-by-step explanation:

X - 15 =8

+ 15 +15

15+8=23

23-15=8

X =23

Express V in terms of T

Answers

Answer:

v = [tex]\frac{4t-1}{3}[/tex]

Step-by-step explanation:

Given

t = [tex]\frac{3v+1}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4t = 3v + 1 ( subtract 1 from both sides )

4t - 1 = 3v ( divide both sides by 3 )

[tex]\frac{4t-1}{3}[/tex] = v

Determine which quadrant each point will be located (-8,2)

Answers

Answer:

The point (-8, 2) is in Quadrant 2.

Step-by-step explanation:

Quadrant 1: (x, y)

Quadrant 2: (-x, y)

Quadrant 3: (-x, -y)

Quadrant 4: (x, -y)

Answer:

The point, -8,2, will be located in quadrant II.

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