Mathematics College

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​

Answers

Answer 1

x+4x+4x+23

9x+23=122

122-23=99

9\99=11

J=67

A=44

S=11

11+44+67=122 kg

Answer 2

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

What is an Equation?

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.

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Related Questions

Which is the last operation when evaluating (8-2x)2+4 for x=3?

Answers

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

PLEASE HELP MEEEEEEE I NEED THIS QUICK
Which of the following best defines the two quantities that are measured to find the call rate of a phone company? (5 points)
Group of answer choices

The quantity of price measured in dollars depends on the quantity of time measured in minutes.

The quantity of time measured in minutes depends on the quantity of price measured in dollars.

The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute.

The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.

Answers

Answer:

A: The quantity of the price would be measured in dollars depends on the quantity of time measured in minutes.

Step-by-step explanation:

A seemed like the best answer to me. I hope I helped

Will give brain if correct segment addition

Answers

Answer:

13) 28

14) 22

15) 24

16)13

Step-by-step explanation:

13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.

14) Same thing as 13, 13+9=22

15) Same thing as others but make an equation

-1+2x+11=3x+3

Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.

3(7)+3=21+3=24

16) build the equation:

x+14+x+10=22

2x+24=22

2x=-2

x=-1

Now plug in x=-1 to x+14.

-1+14=13


Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn?

Answers

Answer:

252

Step-by-step explanation:

7 yards is equivalent to 252 inches.

Answer:

252 inches

Step-by-step explanation:

There are 3 feet in 1 yard. Multiply 7 yards x the 3 feet in each 1 yard.

You should now have 21 feet.

Multiply 21 feet x the 12 inches in each foot.

You should come up with 252 inches as your final product.

mike is 46 yrs old. He is 4 yrs older than 3 times his son Jared's age. Find Jared's age

Answers

Answer:

Jared is 14 years old

Step-by-step explanation:

Help ASAP). Which relation is a function. Where the hand is at thats graph A across is graph B. The graph under graph a is ( graph C). Under graph B is (graph D). Need answer now please and thank you. [ I chose B but not 100% sure]​

Answers

Graph D, since it passes the vertical line test.

Annabel wants to buy a $50.00 jacket that is marked 30% off. What is the final cost of the jacket (after the discount)?

Question 1 options:

$15.00


$35.00


No Solution


$65.00

Answers

Answer:

$ 35.00

Step-by-step explanation:

50.00 ÷ 10 = 5.00 (10%)

5.00 x 3 = 15.00 ( 30%)

50 - 15 = 35.

Sorry I couldn't explain more, But I hope this helps!

Given f(x) = -x + 7, evaluate f(-2).

Answers

Answer:

f(x)=9

Step-by-step explanation:

f(x)=-(-2)+7

f(x)=9

f(-2)= -x+7
2 +7
when f is -2 and x in the equation is negative the -2 would be positive because 2 negative equals a positive so 2+7 = 9
f(-2)= 2+7= 9

What is the volume of a cube that measures 3.5 inches on each edge?
72.5 in
35 in?
none of these
42.9 in

Answers

Answer:

42.9 in

Step-by-step explanation:

Volume of a cube = side cubed

V = (3.5)^3

V = 42.875

3m - 3(m + 8) > 3m
A) m 8
C) m > -8
D) m < -8
lp assap

Answers

It is D
3m -3(m+8)
Distribute the -3
=3m -3m -24
Simplify: -24
-24>3m
Divide both sides by 3
-8>m

Can someone please help me!!! Also does anyone know if there is a website or calculator that may give me the answers? Please help me! Thank you!

Answers

Answer:

[tex] x = 17 [/tex]

Step-by-step explanation:

[tex] 2x + 7 = 3x - 10 [/tex] (alternate exterior angles are congruent when a transversal cuts across two straight lines)

[tex] 2x - 3x = -7 - 10 [/tex] (collecting like terms)

[tex] - x = -17 [/tex]

[tex] \frac{-x}{-1} = \frac{-17}{-1} [/tex] (dividing both sides by -1)

[tex] x = 17 [/tex]

If M is the midpoint of AB and AM = 3x -1 and AB =5 x + 2, find x, AM, MB, and AB.

Answers

AB = 2x + 3

Just subtract the 3x - 1 from 5x + 2 = 2x + 3 is AB

x = 2

AB = 12

MB = 7

AM = 5

Hope this helps.

the volume of a cube is 125 in cúbicas. How long is each side? ​

Answers

5 in, as 5 x 5 x 5 is 125. volume is lwh.

If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet

Answers

Complete Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.

If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet

Answer:

The value is [tex]P(X < 194 ) = 0.25785[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 220 \ feet[/tex]

   The standard deviation is  [tex]\sigma = 40 \ feet[/tex]

   

Generally the probability that this ball traveled fewer than 194 feet is mathematically represented as

       [tex]P(X < 194 ) = P(\frac{X -\mu}{\sigma } < \frac{194 - 220}{40} )[/tex]

Generally   [tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]

         [tex]P(X < 194 ) = P(Z < -0.65 )[/tex]

From the z-table the probability of  [tex](Z < -0.65 )[/tex]

      [tex]P(Z < -0.65 ) = 0.25785[/tex]

So  

     [tex]P(X < 194 ) = 0.25785[/tex]

   

A=4 b= -5 and c=-8
HELLPPPPPP

Answers

-13:)

Hope this helps
I got -3.

since b = -5, that cancels out the negative and makes b=5.

5+-8 is -3.

What are the x and y-intercepts from the table shown?​

Answers

X intercept is -4,0 and Y is 0,8
X- intercept is -4,0
Y- intercept is 0,8

Round 47.58051 to the nearest thousandths

Answers

Answer:

47.581

Step-by-step explanation:

can't explain I just know how to do it

Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.

Answers

Answer:  k = {8, -8}

Step-by-step explanation:

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8

Find the GCF of 28p4 and 44p2q.

Answers

4p2

Factors:

28p4 = 1 2 4 7 14 28 p p p p

44p2q = 1 2 4 11 22 44 p p q

The perimeter, P, of a square whose side length is n.

Answers

Answer: p = 4n

Step-by-step explanation:

To find the perimeter of a shape, you need to add the length of the 4 sides. A square's 4 sides are equal. Therefore, you add n+n+n+n which is the same as 4n.

Answer:

P = n4

Step-by-step explanation:

in order to find the perimeter of an object you must add up all the sides. since we are dealing with a square all the sides are n. so in conclusion, 4 times n would you get you the perimeter, P.

Can anybody graph y= —2x + 5.

Answers

Answer:

The y-intercept is 5 so that is where it will start then just keep going down by 2 since the slope is (-2)

hope this helps =3

Help Please I Really Need Help

Answers

Answer:

X=5

Step-by-step explanation:

3x+4=19

3x+4-4=19-4

3x=15

15/3x=

X=5

Hope this helps!

A system of equations is shown.
- x + 3y = 9
x = 1 - 2y
What is the solution of the system?
A. (-19, 10)

B. (-6, 7/10)

C. (-9/2, 9/2)

D. (-3,2)

Answers

Answer:

c

......................

Step-by-step explanation:

.....................

Answer:

c

Step-by-step explanation:

Someone, please help me.

Answers

I believe the answer would be four since the right and left side are symmetrical, same as the top and bottom

In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box. helpppppp

Answers

Answer: 1902 had 357 people and 2002 had 180.2 people so, the answer would be  

 

176.8

Step-by-step explanation: i hope  this helps

plz tell me if its wrong so i can fix it

Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.

Answers

Answer:

260 miles.  

Step-by-step explanation:

350-90=260  

If you see the word difference in an equation, it means to subtract. :) hope that helps

HELP ILL GIVE BRAINLIEST HELPPPP

Answers

EFGH-
Db = 6
Ac = 9

IJKL-
Db = 2
Ac = 3

I hope this helps

Can some please tell me what this is?

Answers

Step-by-step explanation:

This is mean domain is all real numbers

X = all real numbers or ALM or that R symbol

prime factorization of 60 error

Answers

Answer:

2*2*3*5

Step-by-step explanation:

One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice? ​

Answers

Answer:

43.2 oz

Step-by-step explanation:

4.8/x=10/100

simplify:

4.8/x=1/10

cross multiply:

x=48

there is 48 oz juice in total

to find the rest:

48-4.8=43.2

43.2 oz is something other than fruit juice.

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