Answer: The least share is N450000
Step-by-step explanation:
Given that :
Amount shared = N18 00000
Sharing ratio = 5:4:3
Amount shared by each child :
Total ratio = (5 + 4 + 3 )= 12
First share :
(5 / 12) × 1800000 = 750000
Second share :
(4/12) × 1800000 = 600000
Third share:
(3/12) × 1800000 = 450000
The least amount of the three shares is :
N450000
In 9 minutes, Ivanna can type 36 words. What is her rate in words per minute?
Answer:
4
Step-by-step explanation:
9 divided by 36
Answer:
4 words/minute
Step-by-step explanation:
Since we need words per minute, we divide the number of words by the number of minutes.
words/minute = (36 words)/(9 minutes) = 4 words/minute
What the answer question
Answer:
Step-by-step explanation:
UV & UT are the sides
Keith is the leading goal scorer for a team in an ice hockey league . Last season , he scored 42 goals in 82 games . Assuming he scores goals at at a constant rate , what is the slope of the line that represents this relashonships if the number of games is is along the x-axis and the number of goals is along the y-axis
Answer: The slope is 21/41.
Step-by-step explanation:
IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.
To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.
so 42/82 which reduces to 21/41 has to be the slope .
Answer:
it’s 21/41 or A (I got a 100% on the test)
48/60 in its simplelest form
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{48}{60}[/tex]
To simplify find the highest common factor of 48 and 60, that is 12
Divide both values by 12
[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form
The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator
5x4 – 7x3 – 5x2 + 5x + 1 = 0
HELP WILL GIVE BRAINLIEST TO THE FIRST ANSWER!!!!
is 0=0 no solution or all real numbers???
Answer:
All real numbers
Step-by-step explanation:
Since 0 does equal 0, and value would be able to work. So any x-value will work. Infinite values for x, resulting in all real numbers.
Answer:
Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation
Step-by-step explanation:
the range of y=x^3 is all real numbers, y>0, or y>_0
Answer:
All real numbers
Step-by-step explanation:
When you graph f(x) = x³, you should be able to see that within the range of y-values, you get infinite outputs because the domain has infinite inputs.
Yoko flew on a plane from Tokyo to Sydney. The plane flew a distance of 7800 km. The flight time was 9 hours 45 minutes. Work out the average speed of the plane in kilometres per hour.
Answer:
The average speed is 800 km/h
Step-by-step explanation:
The first thing to do here is to completely write the speed in hours.
We have 9 hours 45 minutes
45 minutes in hours is 45/60 = 3/4 = 0.75
So 9 hours 45 minutes = 9.75 hours
The average speed mathematically = Total distance/ Total time
That would be;
7800/9.75 = 800 km/h
A machine lifts up containers of coal from the mine and lowers empty containers down. The machine uses an electric motor connected to a 600 V d.c. supply.The maximum current in the motor is 4000 A. *Calculate the maximum power available from the motor. Give your answer in MW* power = voltage x current i believe
Answer:
The maximum power available to the motor is 2.4 MW
Step-by-step explanation:
The power of a circuit that has a current, I, and a voltage, V, is given by the relation
Electrical power, P = I²R = I× I×R = I × V
Therefore given that the parameters are;
Voltage in the d.c. power supply = 600 V d.c.
Maximum current in the motor = 4000 A
Therefore, we can find the power as follows;
Maximum motor power = Voltage × Current
The maximum motor power, P available = 600 V × 4000 A = 2400000 W which on converting to MW becomes;
The maximum power available to the motor , P = 2.4 MW.
Add.
(4x2 - 2x) + (5x-7)
Answer:
4x²+3x-7 is the answer
Step-by-step explanation:
=(4x²-2x)+(5x-7)
opening brackets
=4x²-2x+5x-7
=4x²+3x-7
i hope this will help you :)
Tres amigos: Andrés, Braulio y Ciro, juegan 3 apuestas
entre sí, con la condición de que el que pierde duplique
el dinero de los demás. Si cada uno pierde una apuesta en el orden de presentación y al final terminan con
S/.48, S/.56 y S/.28 respectivamente, ¿Quién de los
amigos ganó más dinero y cuánto?
Answer:
La persona que ganó más dinero fue Braulio por S/.16
Step-by-step explanation:
Deje que la cantidad inicial sea Andrés X, Braulio Y y Ciro Z
Luego, dado que cada uno pierde una apuesta en el orden presentado, tenemos;
Después de la primera apuesta, tenemos;
Andrés X-Y-Z, Braulio (Y + Y), Ciro (Z + Z)
En la segunda apuesta, tenemos;
2 (X-Y-Z), 2Y - (X-Y-Z) - 2Z, 2Z + 2Z
2 (X-Y-Z), 3Y - X -Z, 4Z
En el tercero
4 (X-Y-Z), 6Y - 2X - 2Z, 4Z-2 (X-Y-Z) - (3Y - X -Z)
4 (X-Y-Z), 6Y - 2X - 2Z, 7Z - X - Y
4 (X-Y-Z) = 0.48 .............................. (1)
6Y - 2X - 2Z = 0.56 ...................... (2)
7Z - X - Y = 0.28 ............................ (3)
Multiplicamos las ecuaciones (2) por 2 y restamos la ecuación (1), tenemos;
12Y - 4X - 4Z - 4X + 4Y + 4Z = 0.56 * 2 - 0.48 = 0.64
16Y - 8X = 0.64 ...................... (4)
Multiplicamos las ecuaciones (2) por 7/2 y sumamos a la ecuación (3), tenemos;
21Y - 7X - 7Z + 7Z - X - Y = 7/2 * 0.56 + 0.28
20Y - 8X = 2.24 ...................... (5)
Restando la ecuación (4) de la ecuación (5) tenemos;
20Y - 8X - 16Y - 8X = 2.24 - 0.64 =
4Y = 1.6
Y = 1.6 / 4 = 0.4
De la ecuación (5), tenemos;
20Y - 8X = 20 * 0.4 - 8X = 2.24
8X = 8 - 2.24 = 5.76
X = 5,76 / 8 = 0,72
De la ecuación (3), tenemos;
7Z - X - Y = 7Z - 0.72 - 0.4 = 0.28
7Z = 1.4
Z = 1.4 / 7 = 0.2
Por lo tanto tienen inicialmente
X₁ = 0.72
Y₁ = 0.4
Z₁ = 0.2
Después de jugar tienen;
X₂ = 0.48
Y₂ = 0.56
Z₂ = 0.28
Los cambios son
Andrés 0.48 - 0.72 = -0.24
Braulio; 0.56 - 0.4 = 0.16
Ciro 0.28 - 0.2 = 0.08
La persona que ganó más dinero fue Braulio por S/.16
Liam sits on a merry-go-round at the local fair. He completes 12 revolutions in 4
minutes. What is the period of the ride?
Answer:
1/3 min ( = 20 seconds)
Step-by-step explanation:
The period of the ride is the time he takes to complete 1 revolution
We are given:
12 revolutions -------> takes 4 min
1 revolution ------> takes 4/12 = 1/3 min (= 20 seconds)
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
y = -x + 2
Answer:
(0,2) - (2,0) - (4,-2)
Step-by-step explanation:
You have the following straight line:
[tex]y=-x+2[/tex] (1)
You can plot the y-intercept point, the x-intercept point and another one.
The y-intercept is obtained by doing x=0:
y=-+2=2
y-intercept = 2
the x-intercept is obtained by doing y=0 and solving for x:
0=-x+2
x=2
x-intercept = 2
another point can be for x = 4:
y=-4+2=-2
Then, the points to plot are
(0,2) - (2,0) - (4,-2)
The graph is attached in the image below.
Multiply -3i and it’s conjugate. Simplify.
Answer:
-3 + 9i
Step-by-step explanation:
The conjugate of -3i is - 3 - i.
(- 3 i) × (- 3 - i)
Multiply both terms.
-3 + 9i
The multiplication of the complex number -3i and it’s conjugate 3i is 9.
What is a complex number?A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.
For the given situation,
The complex number is -3i.
The conjugate of a complex number a+bi is a-bi.
So, the conjugate of a complex number [tex]-3i[/tex] is [tex]3i[/tex]
Now multiply -3i and 3i, we get
⇒ [tex](-3i)(3i)[/tex]
⇒ [tex]-9(i^{2} )[/tex]
⇒ [tex]-9(-1)[/tex] [∵ [tex]i^{2}=-1[/tex]]
⇒ [tex]9[/tex]
Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.
Learn more about complex numbers here
https://brainly.com/question/14029629
#SPJ2
To prove that objects of different weights fall at the same
rate, Galileo dropped two objects with different weights
from the Leaning Tower of Pisa in Italy. The objects hit the
ground at the same time. When an object is dropped from
a tall building, it falls about 16 feet in the first second, 48
feet in the second second, and 80 feet in the third second,
regardless of its weight. How many feet would an object
fall in the tenth second?
Answer:
y = 1609 ft
Step-by-step explanation:
g is equal to 9,8 m/s² or 32,18 ft/s²
According to g = 32,18 ft/s²
In the first second as y = -1/2 g*t²
y = 1/2 32,18*(1)² ⇒ y = 16,9 ft we dismiss the sign we know the object is falling down. Is enough for the purpose of this question
The second one
y = 1/2* (32,18)* (2)²
y = 32,18*2 ⇒ y = 64,36 ft
third second
y = 1/2*32,18*(3)² ⇒ y = 144,81 ft
And in the tenth second
y =( 1/2)* 32,18 * (10)² ⇒ y = 1609 ft
Factorise the following either by completing
the brackets or by finding the highest common
factors of the given terms.
2m + 8n = 2( )
Answer:
2(m + 4n)
Step-by-step explanation:
Given
2m + 8n ← factor out 2 from each term
= 2(m + 4n) ← in factored form
Answer:
2(m + 4n).
Step-by-step explanation:
2m + 8n The HCF is 2 so the answer is
2(m + 4n).
what is productivity?
a. quantity of input per unit of output
b. quantity of output per unit of input
c. quality of output per unit of input
d. quality of input per unit of output
Answer:
This is the quantity of output per unit of input.
Step-by-step explanation:
I'm very sure.
Evaluate the piecewise function at the given values of the independent variable. f left parenthesis x right parenthesis equals A left bracket. 5 x plus 4 if x less than 0 2 x plus 6 if x greater than or equals 0 (a) f left parenthesis negative 2 right parenthesis (b) f left parenthesis 0 right parenthesis (c) f left parenthesis 2 right parenthesis
Answer:
a. f(-2) = -6
b. f(0) = 6
c. f(2) = 10
Step-by-step explanation:
The function is given as:
f(x) = 5x + 4 if x < 0
f(x) = 2x + 6 if x ≥ 0
(a) f(-2)
x < 0:
=> f(-2) = 5(-2) + 4
f(-2) = -10 + 4
f(-2) = -6
(b) f(0)
x ≥ 0:
=> f(0) = 2(0) + 6
f(0) = 6
(c) f(2)
x ≥ 0:
=> f(2) = 2(2) + 6
f(2) = 4 + 6
f(2) = 10
A grocery store employs 15 cashiers, 25 stock clerks, and 10 delivery personnel. Among them, 10 cashiers, 10 stock clerks, and 5 delivery personnel are married. If an employee is selected at random, find the probability that the employee is not married.
Answer:
0.5 or 50%
Step-by-step explanation:
The number of total employees is:
[tex]T=15+25+10 =50\ Employees[/tex]
The number of married employees is:
[tex]M=10+10+5 =25\ Employees[/tex]
The probability that a randomly selected employee is not married is given by:
[tex]P=1-\frac{M}{T}\\P=1-\frac{25}{50}\\P=0.5\ or\ 50\%[/tex]
The probability is 0.5 or 50%.
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option. Part B: Graph each equation on the same set of axes and compare. Under what conditions is each purchasing option the best choice? Be sure to provide a thorough answer. Use detailed information from your graph to back up your choices.
Answer:
Part A:
First option leasing:
[tex]y = 250x + 4000[/tex]
Second option financing:
[tex]y = 400x + 400[/tex]
The slope of the second option is greater than the first option meaning that monthly payments are greater for the second option as compared to the first option.
The y-intercept of the first option is greater than the second option meaning that the initial payment of the first option is much greater than the second option.
Part B:
As you can see in the graph, the second option is better when x is less than 24 months and the first option is better when x is greater than 24 months.
The second option has less initial payment but greater monthly payment that is why it is better for the short term (for less number of months)
On the other hand, the first option has a greater initial payment but less monthly payment that is why it is better for the long term (for greater number of months)
Step-by-step explanation:
Part A:
First option leasing:
The standard slope-intercept form is given by
[tex]y = mx + b[/tex]
Convert the given equation into slope-intercept form.
[tex]250x - y + 4000 = 0 \\\\y = 250x + 4000[/tex]
where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months and 250 is the slope that indicates the rate of change of y with respect to x.
Second option financing:
We are given two points,
[tex](x_1,y_1) = (0,400)[/tex]
[tex](x_2,y_2) = (10,4400)[/tex]
The slope m is given by
[tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]
[tex]$ m = \frac{4400 - 400}{10 - 0} $[/tex]
[tex]m = 400[/tex]
To find the value of the y-intercept (b),
substitute [tex](x_1,y_1) = (0,400)[/tex]
[tex]y = 400x + b \\\\400 = 400(0) + b \\\\b = 400[/tex]
So the equation of the second option is
[tex]y = 400x + 400[/tex]
Comparison:
The slope of the second option is greater than the first option meaning that monthly payments are greater for the second option as compared to the first option.
The y-intercept of the first option is greater than the second option meaning that the initial payment of the first option is much greater than the second option.
Part B:
Refer to the attached graph,
The point of intersection is obtained when we equate both equations,
[tex]250x + 4000 = 400x + 400 \\\\4000 - 400 = 400x - 250x \\\\3600 = 150x \\\\x = 3600/150 \\\\x = 24[/tex]
x = 24 months is the break-even point meaning that at this point both options are equally good.
As you can see in the graph, the second option is better when x is less than 24 months and the first option is better when x is greater than 24 months.
The second option has less initial payment but greater monthly payment that is why it is better for the short term (for less number of months)
On the other hand, the first option has a greater initial payment but less monthly payment that is why it is better for the long term (for greater number of months)
did i put the right answer or not i just guessed LOl pls dont look it up!!! :/ thank you sm
Answer:
8
Step-by-step explanation:
The constant of proportionality is y/x since the graph goes through (0,0)
When y=16 x=2
16/2 = 8
Answer:
It is correct.
Step-by-step explanation:
The constant of proportionality is simply the slope. According to the graph, the rise is 16, and the run is 2, and 16 / 2 = 8.
Hope this helps!
An African elephant that weighs 16,500 pounds will need to drink 50 gallons of water every day right down the ratio of the amount of water consumed to the weight of the elephant a simplified ratio
Answer: 1:330
Step-by-step explanation:
Ratio is the the quantitative relation that exists between two amounts whihc shows the amount of times a particular value is contained in the other value.
From the question, we are told that the African elephant that weighs 16,500 pounds will need to drink 50 gallons of water every day. The ratio of the amount of water consumed to the weight of the elephant will be:
50:16500
We can simply further by finding the highest common factor for 50 and 16500 which is 50.
50 = 50 × 1
16500 = 50 × 330
Therefore, the simplified ratio will be:
1:330
pls help me!!! I WILL GIVE BRAINLIEST!!!!!! probability question
Answer:
B
Step-by-step explanation:
0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.
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Hope this helps you...
Simplify
Note ; In this case, ^ means to power
p^2 - 2pq + q ^2
over
p^3 - p{q^2} + {p^2}q - q^2
Answer:
Step-by-step explanation:
(p-1)(p-1)
p(p^2-q^2) +q(p^2-q^2)
[tex]\frac{(p-q)(p-q)}{(p+q)(p-q)(p+q) }[/tex]
[tex]\frac{(p-q)}{(p+q)^{2} }[/tex]
Identify any outlier(s) in the data. {76, 78, 63, 70, 64, 90, 65, 28, 66, 83, 74}
Step-by-step explanation:
In my opinion 28
Is an outlier
What is the explicit formula of -1,-3,-9,-27
Answer:
(-1)* (3)^(n-1)
Step-by-step explanation:
common ratio is 3 and the first term is -1
the explicit formula is a * r^ ( n-1)
i.e., (-1) * 3^(n-1)
PLS HELP WRITE EACH EXPRESSION AS A SINGLE POWER DO NOT EVALUATE
Answer:
1. 3³
2. (-5)⁴
3. 3¹⁰
4. 4⁰
Step-by-step explanation:
When multiplying exponents with the same base, you add the exponents. When dividing exponents with the same base, you subtract the exponents. When raising a number with an exponent to another power, multiply the exponents.
1. [tex]\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3[/tex]
2. [tex]\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4[/tex]
3. [tex](3^2)^5=3^{10}[/tex]
4. [tex]\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0[/tex]
The amount of money in Joe’s savings account is increased by 8% each year. Given that he has £500 in 2016. Work out how much Joe will have in 2021.
Answer:
£700
Step-by-step explanation:
First we find the interest on this money.
Interest = Principal * Rate * Time
=[tex]\frac{500 * 8 * 5}{100}[/tex]
=5 * 8 * 5
=£200
Interest = £200
Now you add his actual money to the interest you just found to give you the total amount.
Amount = £500 + £200
= £700
NEED MATH HELP NOW. Please solve for the x-intercept. Please show work.
Answer:
x = 1 and x = 3.
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 8x + 6
y = 2([tex]x^{2}[/tex] - 4x + 3)
y = 2(x - 3)(x - 1)
So, the x-intercepts would be at...
x-3 = 0
x = 3
and
x - 1 = 0
x = 1
Hope this helps!
Pls help me with the solution I need help.
Answer:
Y=180
X=90
Step-by-step explanation: