A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?
A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750
Answer:
C) Rs. 9000, Rs. 9750Step-by-step explanation:
Let the sum allotted is x and 18750 - x.
Interest rate is 5%.
The interest amount is:
(18 - 12)*5% = 30% and(18 - 14)*5% = 20%We have equation below to compare final amounts:
x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000Correct choice is C
The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?
Answer:
It is 4
Step-by-step explanation:
help please!! This is due 2 and a half hours. I can’t figure out the problem please help me
Answer:
g(x) = 2|x|: vertical stretch by a factor of 2.
h(x) = ⅓|x|: vertical compression by a factor of ⅓.
w(x) = 4|x|: vertical stretch by a factor of 4.
Step-by-step explanation:
Given the graph of an absolute value parent function, f(x) = |x|:
g(x) = 2|x|Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.
Hence, when a > 1, the graph is narrower than the parent function.
In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2. When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function. For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x| when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In g(x) = 2|x|, when x = 1, y = 2.
h(x) = ⅓|x|Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.
Hence, when 0 < a < 1 , the graph is wider than the parent function.
In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓. When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.
If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|, when x = 1:
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In h(x) = ⅓|x|: when x = 1, y = ⅓.
w(x) = 4|x|Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In w(x) = a|x|, when x = 1, y = 4.
This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.
Therefore, the function that represents the given graph is w(x) = 4|x|.
Ashley has 10 skirts in her closet.
2 skirts are blue
3 skirts are red
4 skirts are green
1 skirt is pink
Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —
Answer:
the highest choices are red and green
the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?
Answer:
0.21
Step-by-step explanation:
show your work
2x+y=-4;5x+3y=-6
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8
Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?
Answer:
45 minutes
Step-by-step explanation:
Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk
[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.
[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]
Done.
"5 more than a number™ translates to an equation.
O
True
M
w
O False
True
5 more than a number is an equation because you are adding two values.
Answer:
n+5
Step-by-step explanation:
If we choose the number to be n then 5 more than is 5 added to the number.
hence: n + 5
System of equations pls help me
Answer:
(4,4)
Step-by-step explanation:
We can solve this system of equations using the elimination method.
In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.
For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations
7x - 4y = -44
+ (-7x -3y = 16 )
-----------------------
Remove parenthesis
7x -4y = -44
-7x -3y = +16
------------------
0x - 7y = -28
We are left with -7y = -28.
Because there is now only one variable, we can solve for it.
-7y = -28
divide both sides by -7
y = 4
Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.
7x - 3y = 16
y = 4
7x - 3(4) = 16
multiply 4 and -3
7x - 12 = 16
add 12 to both sides
7x = 28
divide both sides by 7
x = 4
So x = 4 and y = 4 so the solution to the system of equations is (4,4)
plz help im so confused
Answer:
i dont k if my explanation will help or not
Step-by-step explanation:
but it goes through the crosshairs in the 2nd quadrant at -10 on the y axis and up 6 on the x axis and then you go down 5 over 2
please help! will make u brainliest
Answer:
i. Rs6,000
ii. Rs6,900
Step-by-step explanation:
i. FV = PV(1 + r)^d
FV = 40,000(1 + 0.15)^1
FV = 40,000(1.15)
FV = 46, 000
46, 000 - 40,000
Interest = Rs6, 000
ii. FV = PV(1 + r)^d
FV = 46,000(1 + 0.15)^1
FV = 46, 000(1.15)
FV = 52, 900
52, 900 - 46, 000
Interest = Rs6, 900
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
_♡_mashi_♡_
PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answer:
D
4th option is correct
............
Answer number three and four please
Answer:
Yes (both)Step-by-step explanation:
Let's verify using Pythagorean:
#3 1² + 1² = (√2)² ⇒ 1 + 1 = 2 ⇒ 2 = 2, TRUE#40.3² + 0.4² = 0.5² ⇒ 0.09 + 0.16 = 0.25 ⇒ 0.25 = 0.25, TRUEIn addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?
The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm
Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
Can you help me on this math questions. Correctly thanks.
1.
In this equation, 2x + 6 has to be greater than or equal to y. You must substitute each coordinate into the equation and evaluate to find the correct answer. In this case, the answers are (-10, -20) and (7, 14).
2.
Same goes for this problem. The answers are (11, -32) and (-6, -2).
3.
Since we are given the line equation, we just determine the operator to use. Because it is a dotted line, that means that the point on the line is not included, so we will use a regular <>. Because the space highlighted indicates that -10x - 6 will always be greater than y, the answer is y < -10x-6, or C.
4.
We are given the line equation here as well. Since the boundary line is not dotted, we include the values, meaning we use [tex]\leq \geq[/tex]. Since the highlighted space indicates that y is always greater than or equal to x-5, the answer is [tex]y\geq x-5[/tex], so the answer is B.
You’re writing a novel.If you write 5 pages every 2 days,how long will it take you to write a 250 page novel?
Answer:
100 days
Step-by-step explanation:
You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.
Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day
Answer:
38 minutes per day
Step-by-step explanation:
Divide 114 to 3
114 ÷ 3 = 38
Divide 304 to 8
304 ÷ 8 = 38
Answer:
1 day = 38 minutes
Step-by-step explanation:
3 days = 114 minutes
=> 1 day = 38 minutes
=> 8 days = 38 x 8 minutes.
Her rate is 1 day = 38 minutes. Hoped this helped.
Find a translation that has the same effect as the composition of translations below. (x,y) → (X + 2, Y + 2) followed by (x,y)=(x-1,y+5)
Choose the correct answer below.
O A. (x,y)=(x+3.y + 7)
OB. (x,y)=(x + 1 y + 7)
OC. (x,y)=(x + 1,y-3)
OD. (x,y)=(X+3.y-3)
urgent will mark brainliest!!!
B) (X + 1, Y + 7)
We start with X + 2, we then take away X - 1, we are left with X + 1.
We start with Y + 2, we then add Y + 5, we are left with Y + 7.
The only option that has both X + 1 and Y + 7 is B.
I hope this helps! :)
Helpppppppppppp 70,000x379=????
Answer:
26,530,000
Step-by-step explanation:
this is quite easy, first you can write this question differently
Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000
The multiplication or products of 70,000 and 379 is 26,530,000
How to multiply or find the product of valuesGiven:
70,000 × 379
= 26,530,000
Where from the left,
0 = unit position0 = Ten position0 = Hundred position0 = Thousand position3 = Ten thousand position5= Hundred thousand position6 = Million position2 = Ten million position.In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.
Learn more about multiplication;
https://brainly.com/question/10873737
Select all the equations that have {6} as its solution set.
15−x=54x
8+3x=6x−10
x2+2=7x−4
43−4x=3x−1
ANSWER:
The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.
Step-by-step explanation:
For the first one it is: 0.27... or 3/11
For the second one it is: 6
For the third one it is: 1 or 6, meaning it has two solutions
For the fourth one it is: 6.285714, or 44/7
for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11
for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6
I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.
The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
The equations that have {6} as its solution set is,
We have to solve the equation in order to find the value of x,
Equation 1,
15−x=54x
54x+x=15
55x=15
x=0.27
Equation 2,
8+3x=6x−10
6x-3x=-10+8
3x=18
x=6
Equation 3,
x²+2=7x−4
x²-7x+6=0
x²+6x+x+6=0
x(x+6)+1(x+6)=0
(x+1)=0 , x=-1
(x+6)=0, x=-6
Equation 4,
43−4x=3x−1
4x+3x=43+1
7x=44
x=44/7
x=6.285
Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Camila ubicó 90 botellas en una estantería de un supermercado y de ellas eran de jugo sin azúcar.Si los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, ¿con cuál de las siguientes operaciones se calcula la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería?
Camila puso 30 botellas de cada sabor en la estantería.
Dado que Camila ubicó 90 botellas en una estantería de un supermercado, y los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, para determinar la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería se debe realizar el siguiente cálculo:
90/3 = X30 = XPor lo tanto, Camila puso 30 botellas de cada sabor en la estantería.
Aprende más en https://brainly.com/question/16991787
What's the Area of rectangle with Width=200 Length=400
Answer
80000
Step-by-step explanation:
200×400
=80000
What is the solutions of the system of equations?
SOS PLS HELP
Answer:
B) (-8, -6, 1)
There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')
Hope this helps :)
Diya used modeling to find
2
.
82
÷
3
.
She regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths. She divided all of the tenths and hundredths into three equal groups. Each group had 9 tenths and 4 hundredths. She decided that
2
.
82
÷
3
=
0
.
94
.
Which of the following is the correct conclusion about Diya's quotient of 0.94?
help mee
Answer:C
Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04
The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
Given that, Diya regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths.
What are decimal numbers?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
According the given question, the numerical expression is
20/10 + 7/10+12/100
= 2+0.7+0.1
= 2.8
She divided all of the tenths and hundredths into three equal groups.
That is, 2.82/3
=0.94
Hence, the quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
To learn more about the decimal numbers visit:
https://brainly.com/question/1578006.
#SPJ2
What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?
Answer:
3x-4y=19
Step-by-step explanation:
Hi there!
We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.
y=3/4x+b
Now we need to solve for b
Since the equation passes through the point (1, -4), we can use it to solve for b
Substitute 1 as x and -4 as y.
-4=3/4(1)+b
Multiply
-4=3/4+b
Subtract 3/4 from both sides
-19/4=b
Now substitute -19/4 as b into the equation
y=3/4x-19/4
Now we have the equation in slope-intercept form, but remember, we want it in standard form
Since x and y are on the same side in standard form, subtract 3/4x from both sides
-3/4x+y=-19/4
Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)
So in order to clear the fractions and change the sign of the equation, multiply both sides by -4
-4(-3/4x+y)=-4(-19/4)
Multiply
3x-4y=19
Hope this helps!
Phil has a three-year contract for his cell phone service. He pays $572.60 each year to cover everyone and his family. How much will the cell phone service cost over the three-year period
Answer:
$1717.80
Step-by-step explanation:
We are given one clue: He pays $572.60 each year to cover everyone and his family.
We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.
572.60 x 3 = Total cost to pay after 3 years.
=> $1717.80 = Total cost to pay after 3 years.
We can conclude that Phil will have to pay $1717.80 after 3 years.
Could someone explain this to me?
Answer:
B.97
Step-by-step explanation:
Heyy so angle ADC and DAB are supp to one another, thus
83 + DAB = 180 --> subtracting
DAB =97. B
Hope that made sense :)
Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?
An apple pie uses ____ apples and an apple tart requires____apples.
Answer:
An apple pie uses 7 apples and an apple tart requires 4 applesStep-by-step explanation:
Apple pie - p, apple tart - t
Set the system as follows:
p + 3t = 1910p + 10t = 110Solve by substitution, p = 19 - 3t:
10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4Find the value of p:
p = 19 - 3*4 = 19 - 12 = 7The equations are
x+3y=19--(1)10x+10y=110=>x+y=11---(2)Subtracting both equations
[tex]\\ \sf\longmapsto 2y=8[/tex]
[tex]\\ \sf\longmapsto y=4[/tex]
Put in equation (2)
[tex]\\ \sf\longmapsto x+4=11[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces
Answer:
a= 0.84m
b= 7m
i tried my best but im not sure of the answer
Step-by-step explanation:
5x+3y=4.2
2x=3y
x = 4.2-3y/5
2*(4.2-3y/5) = 3y
=1.68/3 = 0.56
y=0.56
2x = 3*0.56
x = 0.84
a) The length of one belt (b) is 0.6 meters, or 60 centimeters.
b) The total length of 7 belts and 2 shoe laces is: 5 meters.
Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.
a) Find the length of a belt:
According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:
5b + 3s = 4.2
b) Find the total length of 7 belts and 2 shoe laces:
The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:
3s = 2b
Now, we can use these two equations to solve for the values of "b" and "s."
Step 1: Solve the second equation for "s":
3s = 2b
Divide both sides by 3:
s = (2/3)b
Step 2: Substitute the value of "s" from the second equation into the first equation:
5b + 3((2/3)b) = 4.2
5b + 2b = 4.2
7b = 4.2
Step 3: Solve for "b":
b = 4.2 / 7
b = 0.6
Now that we have the value of "b," we can find the value of "s" using the second equation:
s = (2/3)b
s = (2/3) * 0.6
s = 0.4
To know more about length:
https://brainly.com/question/20377875
#SPJ2