Answer: The answer is 16
Step-by-step explanation:
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.
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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What is the product?
8
-1
-4.
-5
9
-32
4
O
20
-36
32
-4
-20
AnswerC
Step-by-step explanation:
Which of these is another way to write the function f(x)=5x?
a. f(x)=1/4(625x)
b. f(x)=(625x)1/125
c. f(x)=(625x)1/4
d. f(x)=1/125(625x)
Answer:
d
Step-by-step explanation:
when f(x)=5......It can also be
f(x)=1/125(625x)
every whole number over one...1(625x)=625x
also 125(1)=125 therefore (625/125)x=5x
Find the present value of an annuity of $120 at the end of each month put into an account yielding 4.8% compounded monthly for 5 years.
Answer:
Yyyy
Step-by-step explanation:
Write the answer to the following calculations in standard form.
10 to the power of 8 – 7 • 10 to the power of 6
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.
Answer:
0 Jasmine did not insert her decimal point correctly after multiplying the actual amount
0 Jasmine’s estimate and actual product don’t match closely enough.
Answer:
oh that answer was correct but why did you put 0
Step-by-step explanation:
....
Simplify -9/6 divided by -3/2
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)}
What is the domain of A?
Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?
Answer:
The volume of he bedroom is about 180 feet :)
Can someone please help
Answer:
What is your question?
Step-by-step explanation:
do you like ainme\dislike
Answer:
I like anime, do u?
Step-by-step explanation:
Answer:
Yes I love it
Step-by-step explanation:
What is the distance, d, between the points (3,5/2) and (5/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
The distance between the two points is of:
[tex]D = \frac{\sqrt{145}}{6}[/tex]
------------------------------
Distance between two points:
Two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
------------------------------
The points are [tex](3, \frac{5}{2})[/tex] and [tex](\frac{5}{3},1)[/tex].Thus, the distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - 3)^2+(1 - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - \frac{9}{3})^2 + (\frac{2}{2} - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(-\frac{4}{3})^2 + (-\frac{3}{2})^2}[/tex]
[tex]D = \sqrt{\frac{16}{9} + \frac{9}{4}}[/tex]
[tex]D = \sqrt{\frac{64 + 81}{36}}[/tex]
[tex]D = \sqrt{\frac{145}{36}}[/tex]
[tex]D = \frac{\sqrt{145}}{6}[/tex]
A similar problem is given at https://brainly.com/question/14849255
Answer:
The answer is \/145/6 (The answer above)
Step-by-step explanation:
I took the Test.
Question 1 of 2
15 Points
A report revealed that the average no. of months that an employee stays in a factory is 36
months. Assuming that the no. of months of an employee tenure in the factory is normally
distributed with a standard deviation of 6 months, find the probability that a certain employee
will stay
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answer:
Step-by-step explanation:
Given the following :
Mean(m) = 36 months
Standard deviation (s) = 6 months
A) probability of staying more than 30 months :
Zscore = ( x - m) / s
x = 30
Zscore = (30 - 36) / 6
Zscore = - 6/6
= - 1
P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587
1 - p(Z < - 1) = 1 - 0.1587 = 0.8413
2)less than 24 months :
Zscore = ( x - m) / s
x = 24
Zscore = (24 - 36) / 6
Zscore = - 12/6
= - 2
P(Z < - 2) = 0.0228
3.) between 24 to 48 months
For 24 months : from above = 0.0228
48 months :
Zscore = ( x - m) / s
x = 48
Zscore = (48 - 36) / 6
Zscore = 12/6
= 2
P(Z < 2) = 0.9772 ( from z table)
Hence,
0.9772 - 0.0228 = 0.9544
The sum of two consecutive odd integers is 72 what are the integers
Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).
what number is rational?
Answer:
0.33333333333333
Step-by-step explanation:
Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.
Answer:
$1.29 for balloons
Step-by-step explanation:
3b + 4f = 14.63
2b + 5f = 16.03
2b = 16.03 - 5f
b = (16.03/2) - 5/2f
3b + 4f = 14.63
3[(16.03/2) - 5/2f] + 4f = 14.63
48.09/2 - 15/2f + 4f = 14.63
24.045 - 15/2f + 8/2f = 14.63
24.045 - 7/2f = 14.63
-7/2f = -9.415
-3.5f = -9.415
f = 2.69 = $2.69 for favors
2b + 5(2.69) = 16.03
2b + 13.45 = 16.03
2b = 2.58
b = 1.29 = $1.29 for balloons
what is the slope???
What is 2.068 rounded to the nearest 0.1
Answer:
2.1
Step-by-step explanation:
Answer:
2.1
Step-by-step explanation:
If x<0 and y>0, determine the sign of the real number.
Answer:
both negative because y is negative and make both answers negative
Answers:
6) B. Negative7) A. Positive==============================================
Explanation:
x < 0 means x is negative
y > 0 tells us y is positive
Dividing a positive by a negative, or vice versa, means the result is negative. It's similar to how positive times negative = negative. So that is why the answer to problem 6 is "negative".
---------------
In problem 7, we square x to get some positive result.
Consider something like x = -7. Squaring this leads to
x^2 = (-7)^2 = (-7)*(-7) = 49
The two negatives cancel out when we square.
Since x^2 is positive, and y is positive, this means x^2*y is positive as well.
If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 7700 extra calories will translate into a weight gain of 1 kilogram. Therefore, we expect each of these subjects to gain 56000/7700=7.3 kilograms. The weights in kilograms before and after the 8-week period are shown below:
ID: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Before: 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8
After: 61.7 58.8 66.0 66.2 79.0 82.4 74.3 59.3 79.1 67.0 73.4 76.9 93.1 63.0 68.3 60.3
(1) For each subject, manually calculate the weight gain subtracting the weight before from the weight after.
help!!!
3 Peter measured the width of a room as 28 feet
and the length as 17 feet. About how many
square feet does the room cover?
Area = length X width
$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory
There are 22 workers are available in the factory.
What is Wages?Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720x
x = 15840/720
x = 22
Thus, There are 22 workers are available in the factory.
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Kelly can type 120 words in 3 minutes. At that rate, how many words can she type in 5 minutes?
A license plate is to have the following form: 4 letters followed by 4 numbers. How many different license plates can be made, assuming that letters and numbers can be reused?
The number of different license plates that can be made will be 260⁴.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A license plate is to have the following form: 4 letters followed by 4 numbers.
We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).
The number of different license plates that can be made will be
⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10
⇒ 26⁴ x 10⁴
⇒ (26 x 10)⁴
⇒ 260⁴
The number of different license plates that can be made will be 260⁴.
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I will give you branilest!
Answer:
10/3
Step-by-step explanation:
I did quiz lol and I got it right
hello please help will give brainliest!
Which of the ratio below is equivalent to 4:1? Select all that apply. A) 12:3 B) 24:6 C) 8:4 D)16:4 E) 10:6
Answer:
that would be a
Step-by-step explanation:
just took the test
Answer:
A, B, D
Step-by-step explanation:
A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.
A 33 pound bag of grass seed has = 2 pounds less than 5 smaller bags of seed
= 33 pounds = 2 pounds less than 5 smaller bags
Let the weight of smaller bag of seed be ' x ' . Then ,
= 33 = 5x - 2
= 5x -2 = 33
= 5x = 33 + 2 ( transposing -2 from LHS to RHS changes -2 into +2 )
= 5x = 35
= x = 35 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 7 = weight of smaller bag of seed
Then , the weight of smaller bag of seed will be 7 pounds . Let us check it by putting 7 in the place of x :
= ( 5 × 7 ) - 2 = 33
= 35 - 2 = 33
LHS = RHS
Therefore , the weight of of smaller bag of seed is 7 pounds .
Use the distributive property to find an expression that is equivalent to
2x(x + 7)-(3x +1)
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
Daniel and Paul went exploring in the woods. On the first day Daniel saw 3 rabbits and Paul saw 8 deer. On the second day Daniel saw 4 rabbits and Paul saw 7 deer. On which day of hunting did Daniel and Paul catch a higher ratio of rabbits to deer?
Answer:
first day when they say 3 rabbits and 8 deers 3:8