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

Given the formula below, solve for x​

Answers

Answer:

The answer is D.

Step-by-step explanation:

simplify each expression

1) 3x + 6x + 5

2) 7(2x)


3) 4(8x + 3y)

Answers

Answer:

a.9x+5.

b.14x

c.12x+12y

Answer:

1.) 9x+5

2.)14x

3.)32x+12y

Step-by-step explanation:

for the first problem, you combine the x terms because they are like terms. the the second and third problems you apply the distributive property.

Subtract.
8h 39mins
--3h 25mins =

Answers

Answer:

5 hours and 14 minutes

Step-by-step explanation:

Answer:

6h 14mins or 374mins

Step-by-step explanation:

8h 39mins = 519mins

2h 25mins = 145mins

519 - 145 = 374mins

-3+15mx=q

Solve for m

Answers

Answer:

m = q+3/15x

step-by-step explanations:

Write the decimal as a fraction or mixed number in simplest form.
0.33

Answers

Answer:

Step-by-step explanation:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So, 0.331 = (0.33 × 100)(1 × 100) = 33100.

Which mesure of central tendency represents the average data point?
A) mode
B) mean
C) median
D) range

Answers

Answer:

mean is correct option it will

Answer:

It will be B. mean

Step-by-step explanation:

Hope this helped have an amazing day!

Gerald read 6/7 of a book. Mary read 2/7 of the same book.
How much more of the book did Gerald read?

Answers

Answer:

4/7

Step-by-step explanation:

6/7-2/7=4/7

Answer:

I believe that the answer is 4/7

A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?

Answers

Answer:

12 miles

Step-by-step explanation:

The problem above is related to the topic on "Equivalent Ratios." The missing term above is "the number of miles that the vehicle can travel per gallon of gasoline." In order to find this term, you have to use the "cross products."

Let n be the missing term.

[tex]1\frac{1}{8} gallons[/tex]/[tex]13\frac{1}{2} miles[/tex] = [tex]\frac{1 gallon}{n}[/tex][tex]\frac{9}{8} gallons[/tex]/[tex]\frac{27}{2} miles[/tex] = [tex]\frac{1 gallon}{n}[/tex][tex]\frac{9}{8}[/tex] x n = [tex]\frac{27}{2}[/tex] x 1 gallonn = [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{9}{8}[/tex]n = [tex]\frac{27}{2}[/tex] x [tex]\frac{8}{9}[/tex]n = 12 miles

Therefore, the vehicle can travel 12 miles per gallon of gasoline.

Answer:

12 miles per gallon of gasoline

Step-by-step explanation:

1 1/8 gallon of gasoline = 13 1/2

9/8 gallon of gasoline = 27/2 miles

1 gallon of gasoline 8 times 27/9 times 2 miles

1 gallon of gasoline = 216/18

1 gallon of gasoline = 12 miles

Hence,the car can travel 12 miles per gallon of gasoline

The rate of traveling is 12 miles per gallon

A is the point (8, 5) and B is the point (- 4, 1) Calculate the length of AB.

Answers

length between 2 points= 12.6491

Hello I need some help with my last Question pls..

Answers

Answer:

350

Step-by-step explanation:

The difference is 35, she's spending 35 everyday

Ten percent of the 30 swim team members are new on the team. How many members are new?

A. 3

B. 36

C. 10

D. 6

Answers

Answer:

3

Step-by-step explanation:

30 divided by ten is 3 so 3= 10% of 30

:)

3
30 x .10 is 3 so therefore it’s a

What's the answer????

Answers

Answer:

Graph B

This is because of the vertical line test. Say you were to draw a vertical line that stretches through the whole graph. If this line you draw passes through more than two points of the same line/function/whatever b is, it is not a function.

Please help me PLEASE..Thank you

Answers

Answer:

1)=-18x^5+60x^4-50x^3

2)k=3m/2-12

3)6x^2(x+2)(x-2)

Step-by-step explanation:

Hope dis helps :)

could i have brainliest

!!!Write the equation of the line that passes through the point (-4, 6) and (1,1).

Answers

First, find the slope of the given points (m = y2 - y1 / x2 - x1)
m = (6-1) / (-4-1) = 5/-5 = -1
Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6)
6 = (-1)(-4) + b
Solve for b
6 = 4 + b, subtract 4 from both sides: b = 2
Rewrite y = mx + b with m = -1 and b = 2
Equation: y = -1x + 2 or y = -x + 2

108 identical books have a mass of 30kg what's the mass of 150 such books

Answers

Answer:

108 books = 30 kg mass

1 book = 30 / 108

= O. 278 kg mass

150 books = 150 X 0.278 kg mass

= 41.7 kg mass

what is the slope of the line?

Answers

Answer:

2/1 is the slope 2 up 1 over

Step-by-step explanation:

Answer:

Linear increasing.

Step-by-step explanation:

Eric downloads a coupon for 12% off at Gadgets Galore.
He buys a digital camera for $95 and an extra battery for
$16. What is the discounted total after the coupon is
applied?

Answers

Answer:

$97.68

Step-by-step explanation:

$95 + $16 = $111

$111 × 12 = 13.32

$111 - 13.32 = $ 97.68

Rita and Lumiere are solving a problem about driving to Scream N Barf theme park... They know that the theme park is 30 miles away and that they will drive an average of 15 miles per hour. They need to write an equation and solve it to find out how long it will take to get there.

Rita says they should the formula `d=rt`, where `d` is the distance traveled in miles, `r` is the rate of speed in miles per hour, and `t` is the time in hours.

Lumiere says they should use the equation `t=\frac{d}{r}` instead. Who is right? Explain.

Answers

9514 1404 393

Answer:

  Lumiere

Step-by-step explanation:

Rita is correct that the relation between distance, speed, and time is given by ...

  d = rt

Since they want to find the time, they would have to solve this equation for t, which would give ...

  t = d/r . . . . Lumiere's equation

Lumiere has the most direct approach.

Answer:

Step-by-step explanation:

first of all who drives 15 mph, whatever Rita is correct

What is the approximate area of the circle shown below?

A. 616 cm2
B. 22 cm2
C. 44 cm?
D. 154 cm2

Answers

Answer:

d)154 cm²

Step-by-step explanation:

πr²

22/7 ×7² cm²

22×7

154cm²

The approximate area of the given circle is 154 square centimeter. Therefore, option D is the correct answer.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

From the given figure, radius of a circle = 7 cm.

Now, area of a circle = 22/7 ×7²

= 22×7

= 154 cm²

Therefore, option D is the correct answer.

Learn more about the area of a circle here:

brainly.com/question/28642423.

#SPJ7

On a survey, 8 students reported how many minutes it takes them to travel to school. Here are their responses. 16, 11, 15, 13, 13, 11, 4, 12

Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

11.8 or 10

yes

Step-by-step explanation:

i did math:)

Answer:

11.8

Step-by-step explanation:

4+11+11+12+13+13+15+16= 95

95/8= 11.875 simplify

11.8

Convert this percent into a fraction. Make sure your answer is fully reduced. 26%​

Answers

The Answer: 13/50
Step in step:
1. The decimal number: =0.26
2. You need to write it as a fraction: 0.26/1
3. You multiply 100 to both sides of the numerator: (0.26 x 100) / (1 x 100) = 26
4. To make 26/100 to the lowest you need to find least common multiple:
LCM is 2 for 26/100
5. You need to divide the numerator & denominator by 2 : 26/100 = (26/2) / (100 / 2) = 13/50

pls help I need it badly ​

Answers

Answer:

3.6

Step-by-step explanation:

Round the problem to estimate the quotient: 135,296 divided by 16​

Answers

Answer:

135,296 ÷ 16 = 8,456

Step-by-step explanation:

i think this is the answer

Jerry earns a base salary of 350 per week plus an 8% commission on all sales at his job. Which inequality shows the minimum amount in cells s Jerry must make to earn more than a 500 in a week .​

Answers

Answer:

D

Step-by-step explanation:

8% in decimal form is written out as 0.08, so right away the answer is either C or D.

Then if you have "s" = 1875, you would get:

350 + (0.08 × 1875) = 500

That would mean any number greater than 1875 will give you a total more than 500.

Therefore the answer is D.

There are 800 ppl who 50% of them use english 30% use spanish 15% vianameese 5% other
how many people use each language?
(WORK whoever shows the best work gets brainiest reported if no work!)

Answers

Answer:

People who use English language =  400 people

People who use Spanish language  = 240 people

People who use Vianameese language = 120 people

People who use other language = 40 people

Step-by-step explanation:

Total people = 800

People who use English Language = 30%

People who use Spanish Language = 30%

People who use Vianameese Language = 15%

People who use other Language = 5%

We need to tell how many people use each language

People who use English language:

It can be found by calculating 50% of 800

Solving:

[tex]50\%\: of\: 800\\=\frac{50}{100}*800\\=400[/tex]

So, People who use English language =  400 people

People who use Spanish language:

It can be found by calculating 30% of 800

Solving:

[tex]30\%\: of\: 800\\=\frac{30}{100}*800\\=240[/tex]

So, People who use Spanish language  =  240 people

People who use Vianameese language:

It can be found by calculating 15% of 800

Solving:

[tex]15\%\: of\: 800\\=\frac{15}{100}*800\\=120[/tex]

So, People who use Vianameese language  = 120 people

People who use other language:

It can be found by calculating 5% of 800

Solving:

[tex]5\%\: of\: 800\\=\frac{5}{100}*800\\=40[/tex]

So, People who use other language = 40 people

Mary, Bianca and Steve are picking apples. Mary picks 264 apples. 1/6 of these apples are green. Bianca picks 150 apples. 28% of these apples are green. Steve picks 340 apples. 15% of these apples are green. Who picks the most green apples? You must show your working out in your workbooks.

Answers

Answer:

Steve picked most green apples among the three people.

Step-by-step explanation:

Given that:

There are three persons Mary, Bianca and Steve who are picking apples.

Few of the apples are green.

We have to find the person who picked the most number of green apples.

Let us first calculate the number of green apples picked by each one of them then we can compare the three values to find the required answer.

Total number of apples picked by Mary = 264

Number of green apples picked by Mary = [tex]\frac{1}{6}[/tex] of the total apples picked by Mary = [tex]\frac{1}{6}\times 264 = 44[/tex]

Total number of apples picked by Bianca = 150

Number of green apples picked by Bianca = 28% of the total apples picked by Bianca= [tex]\frac{28}{100}\times 150 = 42[/tex]

Total number of apples picked by Steve = 340

Number of green apples picked by Steve = 15% of the total apples picked by Steve = [tex]\frac{15}{100}\times 34 = 51[/tex]

We have 3 numbers now, 44, 42 and 51.

Clearly 51 is greatest of them all.

Therefore, Steve picked the most green apples.

help! if you do this and my other queston 53 points
101 202 505 1010 . . . ? . . .10100 50500
2 . . ? . . . . ? . . .10 . . .50 . . 100 . . . . . ? . .

what are the ?'s

Answers

Answer:

5050, 4, 10, 500

Step-by-step explanation:


Eli and Claire work at a dry cleaners ironing shirts. Eli can iron 15 shirts per hour,
and Claire can iron 20 shirts per hour. Eli and Claire worked a combined 17 hours
and ironed 300 shirts. Graphically solve a system of equations in order to determine
the number of hours Eli worked, x, and the number hours Claire worked, y.

Answers

Answer:

∴ Eli worked for 8 hours and Claire worked for 9 hours

Step-by-step explanation:

Let us form the two equations then graph them

∵ Eli worked for x hours

∵ Claire worked for y hours

∵ Eli and Claire worked a combined 17 hours

x + y = 17 ⇒ (1)

∵ Eli can iron 15 shirts per hour

∵ Claire can iron 20 shirts per hour

∵ They ironed 300 shirts together in 17 hours

→ Multiply x by 15 and y by 20, then add the products and equate their

   sum by 300

15x + 20 y = 300 ⇒ (2)

Now let us find 2 points in each equation and draw the two lines which represent the two equations

→ In equation 1, put x = 0

∵ x = 0

∵ 0 + y = 17

∴ y = 17

The first point is (0, 17)

→ Put y = 0 and find x

∵ y = 0

∴ x + 0 = 17

∴ x = 17

The second point is (17, 0)

→ In equation 2, put x = 0

∵ x = 0

∵ 0 + 20y = 300

∴ 20y = 300

→ Divide both sides by 20

∴ y = 15

The first point is (0, 15)

→ Put y = 0 and find x

∵ y = 0

∴ 15x + 0 = 300

→ Divide both sides by 15

∴ x = 20

The second point is (20, 0)

Draw the first line using points (0, 17) and (17, 0)

Draw the second line using points (0, 15) and (20, 0)

The graph is attached down

From the graph

The red line represents equation (1)

The blue line represents equation (2)

The two lines intersected at point (8, 9) which is the solution of the system of equations

∴ The solution of the two equations is (8, 9)

∴ Eli worked for 8 hours and Claire worked for 9 hours

The perimeter of AABC is 13 cm. It was dilated to
create AA'B'C'.
A
С"
A
с
5
B
15
В"

Answers

Answer:

you answer will be D. 52 cm.

Step-by-step explanation:

Hope it helps

6. The larger of two numbers is eight more than the smaller number. Their sum is 42. Find the
numbers.

Answers

Answer:

Try 17 :)

Step-by-step explanation:

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