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what is the area of a rectangle that is 4 ft. long and 18 in. wide?
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Area = L*W
Change the units of either dimension so they match.

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4(2y+3)/5= 5(2-y)/2
8y + 12/5 = 10 - 5y/2
Denominator = 10
8y + 12/5 = 10 - 5y/2

2(8y + 12) = 5(10 - 5y)
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10
16y + 24 = 50 - 25y
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10
Collect like terms.
Change signs as you cross = sign
41y - 26
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10
Hope this helps.
:-)

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Math Question---
A certain number of persons promised to subscribe equally to a girft of $600, five of them failed to keep their promise, and each of the other increased his subscription by $10. The exact amount required was obtained. How many persons suscribed.
I have no idea how to do this question so PLEASE help!
Thank you for your time and help! :D

Original number of subscribers =

You can do the check!!

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

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Let n = the number of people who had promised to contribute
Let c = the pledged contribution amount
Since the required amount was $600, we have
n*c = 600
The new number of contributors = n - 5, and their contribution amount = c + 10
The amount raised is still the same, so we can write
(n-5)(c+10) = 600
Solve for c in the 1st equation, substitute in the 2nd:
(n-5)(600/n+10) = 600
Multiply and collect terms:
600 + 10n - 3000/n - 50 = 600
10n - 3000/n - 50 = 0
Multiply through by n, divide by 10:
n^2 - 5n - 300 = 0
Factor:
(n+15)(n-20) = 0
This gives n=20 (positive solution)
So the actual number of subscribers is 20-5 = 15
Their contribution was $40
Check:
15*40 = (15+5)(40-10) = 20*30 = 600

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A certain number of persons promised to subscribe equally to a girft of $600, five of them failed to keep their promise, and each of the other increased his subscription by $10. The exact amount required was obtained. How many persons suscribed.
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Let the original # of people be "x.
Average contribution would be 600/x dollars.
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New # of people is (x-5).
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Contribution from x-5 people = $10
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Equation:
(x-5)(x/600 + 10) = 600
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(x-5)(x+6000)/600 = 600
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(x-5)(x+6000) = 360000
--------------------------
x^2 + 6000x-5x-30000 = 360000
x^2 + 5995x = 390000
x^2 + 5995x - 390000 = 0
-------------------
x = 64.36...
---
Note: That doesn't look right.
The answer should be a whole number.
================
Cheers,
Stan H.
================

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f(t) = 15,000e^-.05t
a) At the beginning t = 0
f(t) = 15,000e^-.05x0
f(t) = 15,000e^0
as e^0 = 1
f(t) = 15,000
b) after 10 days
f(t) = 15,000e^-.05 x 10
f(t) = 15,000e^-.5
f(t) = 9097.9
c) after 3 weeks
f(t) = 15,000e^-.05 x 21
f(t) = 15,000e^-1.05
f(t) = 5249.
Hope this helps.
:-)

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A square with a diagonal = 8ins
8^2 = 64
64/2 = 32
A side of this cube measures root 32
Volume of cube = length^3
(root 32)^3 = 128 square root 2 ins^3
Surface area = length^2 x 6
= (root 32)^2 x 6
= 192 inches^2
Hope this helps.
:-)

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product of 48 and 24
48 x 24 = 1152
Sum of 59 and 138
59 + 138 = 197
1152 - 197 = 955
Hope this helps.
:-)

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Pythagoras.
Two sides of a right angled triangle
Find the size of the hypotenuse.
Change measurements into decimals
4ft 6 ins = 4.5 ft
4ft 1in = 4.08 ft
Diagonal^2 = 4.5^2 + 4.08^2
Diagonal^2 = 36.9
Diagonal = square root of 36.9
Diagonal = 6.1ft (1 decimal place)
Hope this helps.
:-)

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Add all your results and divide by the
number of scores.
82+76+64+90+74 =386/5
Average = 77.2
Hope this helps.
:-)

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Two angles are supplementary if the sum of their angles equals 180 degrees
The angle = x
The other angle = 3x
x + 3x = 180
4x = 180
x = 45 degrees
Other angle = 135 degrees.
Hope this helps
:-)

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If a bird's life is normally distributed with a mean of 9 months and a standard deviation of 3, what percent of the population lives less than 11 months.
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z(11) = (11-9)/3 = 2/3
---
P(x < 11) = P(z < 2/3) = 0.7475
===============
Cheers,
Stan H.
===============

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On a test, if 130 questions are answered and 33% of them are correct, what is the number of correct answers?
-------
Ans: (33/100)130 = 4290/100 = 42.9 correct
Round up to 43
===================
Cheers,
Stan H.
===================

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a class of 45 is required to provide one fourth sheet of paper each.how many sheets of paper will the whole class need?
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Ans: 45(1/4) = 11 1/4 sheets
===============================
Cheers,
Stan H.
============

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Solve this
x = 15

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find the probability of drawing 2 spades one after the other without replacement from a well shuffled pack of 52 cards.
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# of ways to succeed: 13C2 = (13*12)/(1*2) = 78
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# of possible outcomes: 52C2 = (52*51)/(1*2) = 1326
--------------
P(2 spades) = 78/1326
========================
Cheers,
Stan H.
=================

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The number = x
Three times the number + twice the number
3x + 2x
Thrice the number + 10
3x + 10
3x + 2x = 3x + 10
Collect like terms.
Change signs as you cross equal sign.
3x + 2x - 3x = 10
2x = 10
x= 5
15 + 10 = 15 + 10
Hope this helps.
:-)

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First no. = x
Second no. = 3x
x + 3x = 72
4x = 72
x = 18
First no. = 18
Second no. = 54
Hope this helps.
:-)

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Two angles are complementary if the sum of their angles equals 90 degrees
So, one angle is 40 degrees if it is 50 degrees more than its complement.
Hope this helps.
:-)

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If a car is travelling at 60km for 4 hrs
Speed = Distance/ Time
It is travelling at an average speed of 15km/hr
Hope this helps.
:-)

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Add all the ratios
3+4+5 = 12
180 degrees in a triangle.
3/12 x 180 = 45
4/12 x 180 = 60
5/12 x 180 = 75
Total = 180
So, smallest angle = 45 degrees.
Hope this helps.
:-)

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If you meant 2 -(3j/5)... J=15
If you meant (2-3j)/5... J=3/2

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Let m be marks current age
Let s be his sisters current age
m=5s #1
(m-3) + (s-3) = 27 #2
From 1
5s-3+s-3=27
6s=33
s=11/2
m=55/2

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This equation is untrue :)

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First off please don't use caps to gain attention it's unnecessary...
using formulas
Mx=(x1+x2)/2
My=(y1+y2)/2
-1=(5+x2)/2
2=(y1-9)/2
Point A is at (5,-5)
Point B is at (-7,-9)

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Defince unknowns
Let M = Man's current age
Let S = Son's current age
Dissect the question to get your equations
(M-2) = 7(S-2) #1
(M+3) = 4(S+3) #2
From #1 M = 7S-12
Sub above into #2
7S-9=4S+12
3S=21
S=7
Sub S into #1
M-2=7(7-2)
M=37
So the man's current age is 37 years old and his son's age is 7 years old

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s.s {-3,-1}

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Q:
Not really sure where to start on this problem. Any help you can give me would be greatly appreciated.
Determine whether the distribution is a discrete probability distribution?
x,P(x)
0,0.21
1,0.28
2,0.02
3,0.28
4,0.21
-------------------------------------------------------------
A:
, the distribution is a discrete probability distribution
because = 0.21 + 0.28 + 0.02 + 0.28 + 0.21 = .

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2logx-2=log (x-25)
2logx-log (x-25)=2


x^2=100x-2500
x^2-100x+2500=0
(x-50)^2=0
x=50

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Refer to the graph of y = tan x to find the exact values of x in the interval (−π/2, 3π/2) that satisfy the equation. (Enter your answers as a comma-separated list.)
tan x = 1/square root of 3
***
x=π/6, 7π/6 in Q1 and Q3 where tan>0

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find csc(theta), given that cos(theta)=(-(√2/2)) and cot(theta)=1
Given data shows angle theta is in quadrant III where cos and sin<0, and cot>0
cot(theta)=1
theta=225º
reference angle=45º
sin(theta)=sin225º=-√2/2
csc(theta)=1/sin(theta)=-2/√2=-√2

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why is it necessary to check the solutions of a logarithmic equation.
Because arguments of logarithms>0, that is, if the solution makes any of the arguments≤0, the solution is rejected. Example: log(x-5), x>5