Answer:
A man has a body mass of mkg he is 30kg heavier than each of his children. Express the body mass of each child in terms of m if the mass of the father and children sum up to 156kg find the mass of the father
The mass of the father would be 72 kg.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
A man has a body mass of m kg. He is 30 kg heavier than each of his twin children.
Let the mass of first child be x
x = m - 30
Let the mass of second child be y
y = m - 30
The total mass of the two children and a father would be
m + x + y = 156
Substitute;
m + m - 30+ m - 30= 156
3m - 60 = 156
3m = 156 + 60
m = 216 / 3
m = 72.
So the mass of the father would be 72 kg.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
The bookstore had a new bookshelf that
could hold 62 books. The owner divided
the 62 books evenly among the 5
shelves. When split evenly, how many
books were on each of the 5 shelves?
Answer:
[tex]12[/tex] books
Step-by-step explanation:
[tex]62 \div 5 = 12remainder2[/tex]. Get rid of the the remainder ([tex]2[/tex]) because it was specified that the books were split evenly, and then answer is [tex]12[/tex].
5 3/13 rounded to the nearest whole number
Answer:
the answer is 53
Step-by-step explanation:
Write an equivalent expression for 6−2(6−9x).
Equivalent is another way of saying equal.
Answer:18x-6
Step-by-step explanation:
Answer:
18x-6
Step-by-step explanation:
Its just the same expression, but simplified.
Can somebody help me?
Answer:
53%
Step-by-step explanation:
add the males and females. then divide the males by the sum(290). and that's r answer.
Answer:
53%
Step-by-step explanation:
The easiest way to start this is to add the two values together to find the total amount of participants.
154+136=292
To find the percentage of males in the population, we need to divide the amount of men by the total population.
154/292=0.527397
The percentage of men is 53%.
Hope this helped?
Help me please I need it
Answer:
2,400=22%
9300=25%
12000=28%
6300=25%
Step-by-step explanation:
1 a. A boat can travel 378 miles on 31.5
gallons of gasoline. How far can it travel
on 24.4 gallons?
Answer:
The boat will travel 292.8 miles on 24.4 gallons.
Step-by-step explanation:
How I figured this out was I divided 378 by 31.5 which got me 12. I then took 12 and multiplied it by 24.4
In the Japanese game show Sushi Roulette, the contestant spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a “wasabi bomb.” When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb. Find the probability that it takes 3 or more spins for the contestant to get a wasabi bomb. Show your method clearly.
Answer:
P = 0.545
Step-by-step explanation:
Here we can find the probability Q, in which you need one or two spins to win the game, and then:
P = 1 - Q
Will be the probability that it takes 3 or more spins to win.
Case where you need only one spin:
There are 3 out of 12 possible outcomes, then the probability of winning with only one spin is:
p = 3/12.
Case where you need two spins to win:
Here we should get a normal sushi roll in the first spin and a wasabi bomb in the second.
The probability of getting a sushi roll in the first spin is equal to the quotient between the number of sushi rolls (9) and the total number of possible outcomes (12), then:
p1 = 9/12
For the second spin we need to get a wasabi bomb, assuming that the susi roll is not replaced (so now there are 8 sections with sushi rolls and 3 with wasabi bombs, if you get the empty section you roll again or something like that)
Now the probability of getting a wasabi bomb is equal to the quotient between the number of wasabi bombs remaining (3) and the total number of outcomes remaining (11), this is:
p2 = 3/11
The joint probability is the product of the two individual probabilities:
p = p1*p2 = (9/12)*(3/11)
Now, the total probability of winning with one or two spins is equal to the sum of the probabilities for each case, then:
Q = (9/12)*(3/11) + 3/12 = 0.455
Then the probability of needing 3 or more spins to win is:
P = 1 - Q = 1 - 0.455 = 0.545
The probability that it takes 3 or more spins for the contestant to get a wasabi bomb is 0.545 and this can be determined by using the given data.
Given :
In the Japanese game show Sushi Roulette, the contestant spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a wasabi bomb.When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb.The probability to win the game in the first spin is:
[tex]\rm P_1=\dfrac{3}{12}=\dfrac{1}{4}[/tex]
The probability to win the game in the second spin is:
[tex]\rm P_2 = \dfrac{9}{12}\times \dfrac{3}{11}[/tex]
[tex]\rm P_2=\dfrac{9}{44}[/tex]
The probability to win in 1 or 2 spins is given by:
[tex]\rm Q = P_1+P_2=\dfrac{9}{44}+\dfrac{1}{4}[/tex]
Q = 0.455
So, the probability that it takes 3 or more spins for the contestant to get a wasabi bomb is:
P = 1 - Q
P = 1 - 0.455
P = 0.545
For more information, refer to the link given below:
https://brainly.com/question/795909
what’s the equation for this table?
Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20
Answer:
Step-by-step explanation:
8x+5y = 20
y = (-8/5)x + 4
slope of the line is -8/5.
slope of any perpendicular to the line is ⅝.
line of slope ⅝ that passes through P(4,5):
y-5 = ⅝(x-4)
y = ⅝x + 2.5
find intersection of lines
⅝x + 2.5 = (-8/5)x + 4
25x + 100 = -64x + 160
89x = 60
x = 60/89, y = 260/89
distance between (60/89, 260/89) and (4,5) = 3.92
i need help i will give you brainliest
Answer:
points needed hope you under stand
Step-by-step explanation:
stay safe though
Geometry question on quizziz need help. Plz and thanks
¿como represento 2/3 en decimal?
Answer:
0.66666666 o 0.66. :)((((((()(
Answer: 0.66
Step-by-step explanation:
- (6x + 4) + 8x simplify and show work plsss
Answer:
2x-4
Step-by-step explanation:
-( 6x + 4+ 8x
-( 6x + 4+ 8x
2x-4
Stephen purchased a guitar, which was originally priced at $80 but discounted at 25%. He also had to pay 5% sales tax. What amount did Stephen pay to purchase the guitar?
Discounted by 25% means he paid 75% of the original price:
80 x 0.75 = $60
Now multiply the sale price by 1 + tax rate:
60 x 1.05 = 63
He paid $63 total.
HELP ME PLEASE I DONT UNDERSTAND
A phone usually sells for $245. It is now on sale for 10% off the original price. What is the new sale price for the phone?
Answer:
$220.50
Step-by-step explanation:
245.00×10%=24.50
245.00-24.50=220.50
Answer:
$24.50
Step-by-step explanation:
Someone, please help will mark as brainliest!!
Answer:
3x+9=?
x+9/3
=3
=9+9=18
Step-by-step explanation:
Graph (–4, 5), (2, 3), (–3, 0), (–4, –5), (–5, 2), and
(–5, 3) and connect the points to form a polygon.
How many sides does the polygon have?
The polygon has
sides.
Answer:
my bad im so sorry
Step-by-step explanation:
Answer:
The polygon has 6 sides
Step-by-step explanation:
What is an equation of the line that is perpendicular to y=-4/5x-4 and passes through the point (4,2)
Step-by-step explanation:
most probably this is the answer
1. What is the slope m of the
graphed line?
Answer:
m=0
Step-by-step explanation:
31 points available!! Just name all the Zodiac signs without looking them up, or list all the countries you know (NO LOOKING UP)
Answer:
Step-by-step explanation:
Aka i DID NOT LOOK THEM UP
Step-by-step explanation:
countries:
india
Pakistan
germany
sirilanka
russia
france
italy
austria
thailand
china
Australia
Canada
America
netherlands
Belgium
Singapore
Malaysia
New Zealand
England
Wales
Scotland
Ireland
Nothern Ireland
Sweden
Greenland
Finland
Greece
Spain
Bangladesh
Saudi Arabia
Lebanese
Morroco
Egypt
Turkey
Palestine
Israel (not sure if that counts ig)
Iran
poland
Chez republican
Romania
South Africa
Nigeria
Ghana
Kenya
Sudan
yeah that all i can think of
Select all the order pairs that satisfy the function y=3x+4
(4,-8)
(2,-10)
(-1,7)
(-3,4)
Answer:
none
Step-by-step explanation:
How do you do this problem
Answer:
Step-by-step explanation:
U have 20 dollars and u spend d amount of dollars on ice cream.
basically it’s 20$-d$ or 20-d
Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54 meters wide in real life. How wide is the parking lot in the drawing?
Answer: The parking lot in the drawing is 36 centimeters.
Step-by-step explanation:
Given: Actual width of parking lot = 54 meters
The scale she used was 2 centimeters : 3 meters.
i.e. 3 actual meters = 2 centimeters on drawing
⇒ 1 actual meter = [tex]\dfrac23[/tex] centimeters on drawing
⇒ 54 actual meters = [tex]54\times\dfrac23[/tex] centimeters on drawing
⇒ 54 actual meters = 36 centimeters
Hence, the parking lot in the drawing is 36 centimeters.
Find the solution to the system of equations.
A cube has a volume 1,000 cubic feet. What is the length of the edge of the cube. SHOW YOUR ANSWER
Answer:
10ft
Step-by-step explanation:
The length of one side of this cube would be the cube root of 1000 since each of the three dimensions are the same. You could solve this problem with the following equation, where [tex]l[/tex] is the side length.
[tex]l^3[/tex] = 1000
[tex]l[/tex] = [tex]\sqrt[3]{1000}[/tex]
[tex]l[/tex] = 10
So, the side length of the edge of the cube is 10ft.
Rectangle ABCD and rectangle AXYZ are similar
Which proportion must be true?
Answer:d
Step-by-step explanation:I'm not sure
Solve for n:
n
12 = 5n + 5
please help
Answer:
7/5
Step-by-step explanation:
plug in 7/5 to answer
12=5(7/5)+5
12=7+5
12=12
it checks!
which correctly explains the number of solutions of the following system of linear equations? -3x + 3y = 12 y = x + 4
A. The Graphs of the equations are parallel lines because they have the same slope but different y-intercepts. The system has no solution
B. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. The system has exactly one solution
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope and same y-intercept. The system has exactly one solution.
D. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. The system has exactly Infinitely many solutions.
Please explain how you got the answer because I need to learn it.
The system has an infinite number of solutions because the equations have the same slope and y-intercept, and the graph of the equations is the same line.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The system of equations is given in the question, as follows:
-3x + 3y = 12
y = x + 4
When all the given equations are drawn in the graph, then we get the Infinitely many solutions ordered pairs in the solution set of the given system.
Here, the graph of the equations is the same line because the equations have the same slope and the same y-intercept. The system has exactly Infinitely many solutions.
Therefore, the correct answer would be an option (D).
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
help asap!! slove for x, (4x+5) + (2x -7) =40