Given that
Money of a man = Rs. X
Money given to his wife = half of the money
= Rs. X/2
Money given to his son = 1/4th of the money
⇛Rs. X/4
Money given to his daughter = Rs. 1200
Total money
⇛ (X/2)+(X/4)+1200 = X
⇛ (2X+X+4800/4 = X
⇛ (3X+4800)/4 = X
⇛ (3X+4800) = 4X
⇛4X=3X+4800
⇛4X-3X = 4800
⇛X = 4800
⇛X-4800 = 0 is the required equation
⇛X = 4800
The money of the man = Rs. 4800 Ans.
also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
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X=-2y,x-y=9 solve by substitution SHOW ALL WORK
Answer:
x = 6, y = -3
Step-by-step explanation:
x = -2y
x-y = 9
Substitute x = -2y into the equation.
;(-2y)-y = 9
-3y = 9
y = 9/-3
y = -3
Substitute y = -3 into the equation.
x = -2y
x = -2(-3)
x = 6
A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10
2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?
Answer:
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
Step-by-step explanation:
W = -275(2t-7), where t is hours since pumping starts. Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). In this case we'll use W and t instead of x and y.
W = -275(2t-7)
W = -550t + 1925
The 1925 figure represents the water volume when t = 0, the initial volume. The slope of -550 is the rate at which water is being pumped out. 550 gallons/hr.
We can solve the equation for the hours required to make w=0:
W = -550t + 1925
0 = -550t + 1925
550t = 1925
t = 3.5 hours
-
We can solve for when W = 1,000:
W = -550t + 1925
1000 = -550t + 1925
-925 = -550t
t = 1.682 hours
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
We can also graph the function. attached.
If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now
Answer:
13. 70(two digits 7 times 10 which is a multiple of 5)
Hope This Helps!!!
A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-
Answer:
The posted photo says the slope is -(3/4). I'll use that, instead of -2 as written in the question.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
With a slope of -(3/4), we can write: y = -(3/4)x + b.
To find b, use the given point (4,-6):
y = -(3/4)x + b
-6 = -(3/4)(4) + b for (4,-6)
-6 = -3 + b
b = -3
The line is y = -(3/4)x - 3
The first option.
Simplify
4^33 8^37
—————-
4^15 8^21
A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16
Answer:
A
Step-by-step explanation:
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation:
Can someone plz help Me?
the answer to your question is B. A 5-minute reduction in the time to run a race
Answer: B
Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness
HAVE A WONDERFUL DAY!
Multiply
-4/5 • 3
Write your answer in simplest form.
Answer:
[tex]-2\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across
[tex]\frac{-12}{5}[/tex] turn into mixed number
[tex]-2\frac{2}{5}[/tex]
h(8) = -2(8)^2 + 4(8)- 7
Answer:
h = - 103/8
Step-by-step explanation:
1) Re-order terms so constants are on the left
8h = = -2(8)²+4(8)-7
2) Evaluate the exponent
8h = -2·64+4(8)-7
3) Multiply the numbers
8h = -128+4(8)-7
4) Multiply the numbers
8h = -128+32-7
5) Add the numbers
8h = -103
6) Divide both sides of the equation by the same term
8h/8 = -103/8
7) Simplify
- Cancel terms that are in both the numerator and denominator
h = -103/8
Which is the sum of two or more different monomials?
Answer: Polynomial
Step-by-step explanation:
what are the different types of geometric constraints that are applied to sketches, and what are their functions?
4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?
3150 miles in 14 hrs
225 mph
hope this helps!
thissssssssssssssssssssssssssssssssssssssss
Answer:
w represents
Step-by-step explanation:
up 2 is the y coordinates
what is 72=2x+16x
please please helppppp meeee
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Answer:
x=4
Step-by-step explanation:
72=18x
72/18=4
x=4
HELPPP PLZZ AND THANK YOU <3
Answer:
Step-by-step explanation:
Does anyone get this question?
Answer:
a= 121°
b=62°
c=59°
Step-by-step explanation:
I first found b because they are vertical angles
Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.
By adding angles b and c they would give me the measure of angle a.
__________________________________________________________Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
if you have 55 bad kids in classroom and 25 good kids how many bad have solve the equation
Answer:
none of them bc they're all bad kids
Step-by-step explanation:
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?
Answer:
So 9 months is 273 days and 394200 minutes so if the butterfly spends 30 days means one month so it is 43800 minutes old .
hope it gonna help you.
Step-by-step explanation:
Determine the unit rate. Use mental math when you can. 6 golf balls for $15
Answer:
1 golf ball : $2.50
Step-by-step explanation:
You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50create an equivalent ratio to 20:24 by dividing both sides by 4
Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.
write the equation of the line given the two points. (4,-3) and (3,1)
Answer:
y=-4x+13
Step-by-step explanation:
y=mx+b
slope =
1--3/3-4
4/-1
-4/1
y-1=-4(x-3)
y-1=-4x+12
y=-4x+13
Answer:
[tex]y = -4x + 13[/tex]
Step-by-step explanation:
First, find the slope (denoted by the variable, m). Use the following equation:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]
Use the slope-intercept form. The slope-intercept form is:
[tex]y = mx + b[/tex]
Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:
[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]
Plug in the slope (m) and the y-intercept (b) to get your equation:
[tex]y = -4x + 13[/tex]
~
help ASAP please PLS
Answer:
-103
Step-by-step explanation:
Just subtract
Answer:
-103
Step-by-step explanation:
You add all the numbers then put the negative sign.
Fill in the missing numbers. 9.223 x ______ = 922.3 0.09223 x _______ = 9.223 92.23 x ______ = 922.3
Answer:
1. 100
2. 10000
3. 10
To make 8 dozen cookies, you must use 2 eggs. How many eggs are needed to make 40 dozen cookies? Use a proportion to solve.
Answer:
10 eggs for 40 dozens
Step-by-step explanation:
40÷8=5
5*2=10
Our created proportion is 8:2::40:x
=> 8x = 80=> x = 10Conclusion:Therefore, for 40 dozen cookies, 10 eggs are required.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The function after synthetic division f(x) = 4x3 + 3x2 − 16x − 12
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
»ANSWER«
(1) Write properties of function:
x intercept/zero:
[tex] x_{1} = \frac{3}{4} [/tex]
y intercept:
[tex]y = - 12[/tex]
domain:
[tex]( - \infty \: \infty )[/tex]
type of function: cubic fraction
standard form:
[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12[/tex]
factorize form:
[tex]f(x) = (4x - 3)( {x}^{2} + 4)[/tex]
even/odd/neither: neither
bounce/cross x axis:
[tex]x = \frac{3}{4} \: across[/tex]
increasing interval:
[tex]( - \infty \: \infty )[/tex]
decreasing interval: no
number of positive real zeros: 1
number of possible turning point: 2
order/degree: 3
leading term:
[tex]4x ^{3} [/tex]
leading coefficent: 4
constant term: -12
end behavior:
[tex]as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty [/tex]
#CarryOnLearning
ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
Learn more about angle here:
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Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;https://brainly.com/question/17671517
Answer:
-2, 5, 10, 21
A, B, D, E