John and Amelia have a baby daughter Sonia John is 23 kg heavier than Amelia who is four times as heavy as Sonia their combined weight is 122. how heavy is each person​

x+4x+4x+23

9x+23=122

122-23=99

9\99=11

J=67

A=44

S=11

11+44+67=122 kg

The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that

Let j , a and s be the weights of John, Amelia and Sonia respectively.

John is 23 kg heavier than Amelia.

j = a + 23

Amelia is four times as heavy as Sonia.

a = 4s ⇒ s = a/4

Their combined weight is 122.

j + a + s = 122

Substituting the above expressions of j and s in terms of a in the equation j + a + s = 122, we get,

(a + 23) + a + (a/4) = 122

2a + a/4 + 23 = 122

9a/4 = 122 - 23

2.25a = 99

a = 44

j = 44 + 23 = 67

s = 44/4 = 11

Hence the weight of each person is 67 kg, 44 kg and 11 kg.

To learn more about Equations Solving, click :

https://brainly.com/question/30066982

#SPJ2

Scarlet believes that she will be able to sell 132 boxes of cookies in her Girl Scout troop. If there are 12 boxes in each crate how many crates should she order to sell

Jasmine was asked to find the product of 14.8 and 3.65. Her work is shown below. Estimate: 15 × 4 = 60 Actual: 14.8 × 3.65 = 540.2 Which statements about Jasmine’s work are true? Check all that apply. Jasmine did not make a good estimate. Jasmine did not insert her decimal point correctly when estimating. Jasmine did not insert her decimal point correctly after multiplying the actual amount. Jasmine did not make a mistake. Jasmine’s estimate and actual product don’t match closely enough.

Write using interval notation

This is two or more equations with common variables, also known as a linear system.

A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container after x minutes.



How many minutes will it take for the container to empty if the solution continues leaking at the same rate? Show your work or explain how you know.

will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?


A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)

Is 1-12 true or false

Laura had 192 dollars to begin with. She just spent b dollars. Using b, write an expression for the number of dollars she has left

what is the slope of the line that contains these points? please help

A well is 20ft deep. A snail at the bottom of the well climbs upto 4ft each day and slips back 2ft every night.how many days the snail to reach the too

Solve for p.
p - 9 > 9 or p + 10 = 10

The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).

I don’t understand this and it’s due at 12

In quadrilateral BADC, AB=AD and BC=DC. The line AC is a line of symmetry for this quadrilateral.

Quadrilateral B A D C.

a. Based on the line of symmetry, explain why the diagonals AC and BD are perpendicular.

what’s the answer to this mathematical question

Show the solution in each linear inequality in system of linear inequalities by graphing y>-7/2x+3

PLEASE HELP!!!
Please help me answer the questions that are circled, I really need help!

John rode his new bicycle at 9 miles per hour. How many feet per hour is this?
(Hint: Since 1 mile = 5,280 feet, multiply by 5,280 feet/1 mile.)
Oa. 47,520 feet per hour
Oc. 5,280 feet per hour
Ob. 45,720 feet per hour
O d. 52,380 feet per hour

Simply the expressions by distributing and combining like terms , if necessary 16x + 5.6(2x - 11)

A hotel manager is buying wallpaper for the rooms in his
hotel. Each roll of wallpaper costs $48. If he spent $5,568,
how many rolls of wallpaper did the hotel manager buy?
1,017
106
1,016
116

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.

Damien left his house at time Zero and drove to the store, which is 12 blocks away, at a speed of 6 blocks per minute. then he stopped and went into the store for 5 minutes. from there, he drove in the same direction at speed of 2 blocks per minute until he got to the bank, which is 12 blocks away from the store. he stopped at the bank for 2 minutes. then he drove home at a speed of 6 blocks every minute. make a graph of showing the number of blocks away from home that Damien is x minutes after he leaves his house, until he gets back home.

The list price of a toolbox is $127.35. The chain discount is 10/5. What is the final net price?

Question 9 of 25
What is the measure of angle b
А
35
C
B

7) You want to cut a rectangular poster with an area of at least 60 square inches. The
length is 7.5 inches. What is the minimum width of the poster (keep in mind the area of
a rectangle is L x W = A
Length x Width = Area). Write inequality and solve for Width
(W).
8) The total cost of 3 apples and 4 oranges is $5.45. The cost of the oranges is $0.75
each. Write the equation and solve for A (cost of one apple).

Select the sets that are not functions.
O E = ((6. 2). (7. 3). (6, -1). (5. 4)]
O A = {(1, 2), (2, 3), (3, 4). (4. 5)}
O C = [(-1, 3), (0.3), (1, 3), (2, 3)}
OB = {(1, 2), (2, 1), (3, 0), (4, -1)]
OD = {(1, 1), (1, 2), (1, 3), (1. 4)}

The entrepreneurship club is ordering potted plants for
all 36 of its sponsors. One store charges $8.50 for each
plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost
of ordering potted plants at a second store.
What does the x represent in this situation?
The cost for each potted plant at the second store
The delivery fee at the second store
The total cost of ordering potted plants at the second store
The number of sponsors of the entrepreneurship club
Yes

An eagle is flying around and its velocity vvvv as a function of time tttt is given in the graph below where rightwards is the positive velocity direction.
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
What is the eagle's displacement Δx\Delta xΔxdelta, x from t=1.0 st=1.0\,\text st=1.0st, equals, 1, point, 0, start text, s, end text to 4.0 s4.0\,\text s4.0s4, point, 0, start text, s, end text?

South America's greatest river system is the ___________.

Mississippi-Missouri
Nile
Amazon
Rhine

During the 2005 football season Team Tackle beat Team Sack by 18 points their combined scores totaled 66. the individual team score
1. Team tackles score was ? Points
2. Team sacks score was ? Points