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Complete Question
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
a) The number of 13 cent = 14
b) The number of 29 cent = 24
c) The number of 45 cent = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's
Number of 13 cent = a
Number of 29 cent = b
Number of 45 cent = c
Hence,
a + b + c = 54........... Equation 1
The total value of the 3 stamps are $15.98.
1 cent = $0.01
We have
0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2
We know from the question that:
13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Therefore
2(0.13a) + 0.29b + 0.45c = 17.8
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
Combining Equation 2 and 3 together
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
We eliminate b and c by Subtracting Equation 3 from 3
0.13a = 1.82
a = 1.82/0.13
a = 14
a + b + c = 54........... Equation 1
Since a = 14
14 + b + c = 54
b + c = 54 - 14
b + c = 40
c = 40 - b
Substitute 40 - b for c and 14 for a is Equation 2
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98
= 1.82 + 0.29b + 18 - 0.45b = 15.98
Collect like terms
1.82 + 18 - 15.98 = 0.45b - 0.29b
3.84 = 0.16b
b = 3.84/0.16
b = 24
Hence: Solving for c
a + b + c = 54........... Equation 1
14 + 24 + c = 54
38 + c = 54
c = 54 - 38
c = 16
Therefore,
The number of 13 cent = 14
The number of 29 cent = 24
The number of 45 cent = 16
What is the domain of the following function? Show work
f(x)=(2x-1)/((2x^2)-9x+10)
Step-by-step explanation:
f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10
= 2X-1 ) /( 2X- 5 ) ( x - 2 )
set of zeros of denominator are :
2X- 5 . = 0
X= 5/2
or
X-2=0
X=2
set of zeros of denominator = { 5/2 ,2 }
domain = R - { 5/2,2 }
I need help with #22 & 23 ASAP!!!!please explain so I can understand
Answer:
22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)
Step-by-step explanation
22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.
23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.
Find the slope and the y-intercept of the graph of y=6x-5.
Answer:
The slope is 6 and the y intercept is -5
Step-by-step explanation:
y=6x-5
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 6 and the y intercept is -5
Answer:
[tex]slope=6\\\\y-intercept=-5[/tex]
Step-by-step explanation:
The given equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
where:
m is the slope (the change in the y values over the change in the x values)b is the y-intercept (where the x value is 0 and the line crosses over the y-axis)x and y are corresponding coordinate points that lie on the line (x,y)Find the values:
[tex]y=(slope)x+(y-intercept)\\\\y=6x-5[/tex]
6 is in the slope place, so the slope is 6.
5 is in the y-intercept place. Note how this number has a negative sign when the original equation says "+b". This means that the y-intercept is -5.
:Done
30 POINTS What is the answer????
Answer:
Step-by-step explanation:
the third i think
Solve - 2x - 7 > 5x + 14.
O A. x < -3
B. X > -3
C
C. x < -5
D. I > -5
please help
Answer:
hope this is not to hard to understand
Answer: Thanks for the points
Step-by-step explanation:
please help please answer surely please
Answer:
C. 48 m
Step-by-step explanation:
The two vertical sides add up to be (8*2) m = 16m.
The two horizontal sides can be added up to (14*2) m = 28m.
(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)
Finally, add the leftover two sides (2*2) m = 4m.
16+28+4 = 48.
Hope this helped!
Answer:
C-48
Step-by-step explanation:
hi , you need to fill in the blanks and then add them all together
If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time?
Answer:
$96.15Step-by-step explanation:
Step one:
given data
total number of weeks =52 weeks
study time per week is = 10 hours
total study time for the year = 52*10
=520 hours per year.
Step two:
given that the value of the scholarship for one year is $50,000.
we want to find the amount that an hour of study brings
so we have to divide the total scholarship by the amount of study time
50000/520
=$96.15
your hourly return on your investment in study time is $96.15
My dog, Petey weighs 75 pounds. Last summer he weighed 65 pounds. What percent of his weight did he gain?
Answer:
he gain 10%
Step-by-step explanation:
Answer:
He gained 10 lbs which is 13.3 % of 75
Perform the indicated operations. 2−26 −48−16 07−6 76 −200 −73 Arrow −48−16 07−6 −200 −73 1−13 −48−16 07−6 38 −200 −73 Arrow 1-13 07−6 38 −73
Not certain if this question is complete
Answer and Step-by-step explanation:
We perform the operations given, using the rules of subtraction and addition on the number line:
Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :
2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)
-48-16= -64( two negative values add up to a negative value)
07-6= 1( seven is bigger than 6 hence positive result)
We use the above method to solve the given expressions
+76-200-73= -124-73=-192
-48-16=-64
+7-6-200-73=-199-73=-272
+1-13=-12
-48-16=-64
+07-6=1
+38-200-73=-162-73=-235
1-13=-12
07-6=1
38-73= -35
1, -1, 3, 38 & 0, 2, -2, -24
Given: m || n and p is a traversal.
Prove: m<2=m<7
What is the missing reason in the proof?
Answer:
Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are congruent.
what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
la expresión que se muestra abajo re presenta la utilidad en la producción de una nueva libreta profesional ,¿para que el valor positivo "X" la utilidad resulta igual a cero?
a)10
b)10/9
c)770/9
d)670/9
ayúdenme porfavor
Answer: a) 10
Step-by-step explanation:
Buscando en google, encuentro que la expresión es:
C(x) = 9*x^2 - 80*x - 100
Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:
9*x^2 - 80*x - 100 = 0.
Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:
a*x^2 + b*x + c = 0
Las soluciones son:
[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]
en este caso, tenemos:
a = 9
b = -80
c = -100
Entoces, las soluciones van a ser:
[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]
Entonces las dos soluciones son:
x = (80 - 100)/18 = -20/18 = -10/9
Esta solución la descartamos, pues es negativa. La otra solución es:
x = (80 + 100)/18 = 180/18 = 10
La opción correcta es a: 10
Given
f
(
x
)
=
1
2
(
8
−
x
)
, what is the value of
f
(
−
10
)
?
Answer:
3 Tell me if this help you
1) Dave is 9 years older than his brother.
Dave is also 9 years younger than twice
his brother's Ige. How old is each?
Answer:
Dave is 27. His brother is 18.
Step-by-step explanation:
Dave is 9 years older than his brother, so if his brother is 18, he is 27. If you doubled the brother's age (18) you would get 36. Then you subtract 36 by 9 and get 27. <3
Can someone please explain how functions work? With graphs?
Answer:
no, yes, no, no, yes, no
there you go!
Step-by-step explanation:
An element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?
9514 1404 393
Answer:
43.2 grams
Step-by-step explanation:
The exponential equation for the decay can be written as ...
amount remaining = (initial amount)(1 -decay rate)^t
= 570(1 -0.18)^t
We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...
amount remaining = 570(0.82^13) ≈ 43.2 . . . grams
how many minutes are there in one monty
Answer:
43200 minutes
Step-by-step explanation:
60×24×30=43200
Answer:
44,640??
Step-by-step explanation:
there is 24 hours a day multiply 24 to 31 answer is 744,
744× 60=44,640
Here is a map of an island with cities A, B and C
not tryna be rude but theres no map
Step-by-step explanation:
a) The three figures are 480 km, 240 km, and 300 km.
b) Kenzi has driven 60 km further than Jafar.
We have,
a)
The three figures bearing B from A are:
1 cm = 200 km
This means,
AB = 2.4 cm
So,
2.4 x 200 = 480 km
And,
BC has two parts:
1.2 cm and 1.5 cm
1.2 cm x 200 km = 240 km
1.5 x 200 km = 300 km
The three figures are 480 km, 240 km, and 300 km.
Now,
Jafar distance.
= AB
= 480 km
Kenzi distance.
= BC
= 240 km + 300 km
= 540 km
The difference between the distance driven.
= 540 km - 480 km
= 60 km
This means,
Kenzi has driven 60 km further than Jafar.
Thus,
The three figures are 480 km, 240 km, and 300 km.
Kenzi has driven 60 km further than Jafar.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
Honestly I don't know what to do at this point please help
Joe is working at the storage yard. It is 50 yards from the entrance (V) to the checkpoint (W). From there, it is 40 yards to the guard post (X). From his spot at the guard post, Joe notices a barrel tipped over 12 yards away (Z). The spill stretches to the fence (Y). If AXYZ is similar to AXVW, what is the distance d across the chemical spill? * zd Y 12 yd X 40 yd 50 yd W
Answer:
15 yds
Step-by-step explanation:
40 divided by 50 equals 4/5, so the lengths of the other triangle have to match that ratio. 3 fits into 12 four times and 15 five times, which makes it a four to five ratio.
Find the area of this sector
Answer:
7π mm²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{280}{360}[/tex] ( r is the radius )
= π × 3² × [tex]\frac{28}{36}[/tex]
= 9π × [tex]\frac{7}{9}[/tex] ( cancel the 9's )
= π × 7
= 7π mm²
Answer:
0.0146607657 rad m
Ronald measured a house and its lot and made a scale drawing. The front patio, which is 14 meters wide in real life, is 7 millimeters wide in the drawing. What scale did Ronald use?
Answer:
2 metre= 1millimetre
Step-by-step explanation:
From the measurement of the house The front patio, is 14 meters wide in real life, is 7 millimeters wide in the drawing
Real life= 14 meters
Drawing= 7 millimeters,
The scale he used is 2 metre= 1millimetre
Which means he magnify the drawing by scale of 2 metre to get the real life structure.
✓Let us clarify it
14 meters = 7 millimeters
2 metre= x millimeter
If we cross multiply
7 millimeters× 2 metre= 14 metre × X millimeters
Make X subject of the formula we have
X= 1millimetres
If 4(r + 2) – 13 = 11, what is the value of r?
An airplane is descending at a rate of 2500m per minute. How much higher was the
plane 10 minutes ago?
Answer:
25000 Meters high
Step-by-step explanation:
2500 x 10 = 25000
COULD I PLS GET HELP WILL GIVE BRAINLIEST IF POSSIBLE
Answer:1. f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
I took this class last year
Answer:
f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.
Answer:
Step-by-step explanation:
sin(x) + tan(x) =sin(X) + sin(x)/cos(x)
=sinx(1+1/cosx)
=Sinx(1+secx)
=1+secx/cosecx. (Since sinx=1/cosecx)
Hence LHS=RHS proved
CAN SOMEONE HELP THIS IS DUE
Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?
Answer:
His time in mph is 16.1 mph
2x+5y=-13
3x-5y=14
Solve for x and y
Answer:
I got x= 1/5 and y= -67/25 (sorry if it is wrong)
Answer:
x= 1/5
y= −67/25
Step-by-step explanation:
If you need help with these sorts of problems, go to math papa.
Insert a question... for example, this question you would type in
"2x+5y=-13;3x-5y=14"
This helps a bunch with a variety of math questions. I also recommend using mathaway!
You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.
Answer: Let n be the number of nickel
s, d be the number of dimes, and p be the number of pennies.
Answer:
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Step-by-step explanation:
Let
n = number of nickels
d = number of dimes
p = number of pennies.
n + d + p = 37
0.05n + 0.10d + 0.01p = 1.55
p = 2d
Substitute p = 2d into the equation
n + d + 2d = 37
0.05n + 0.10d + 0.01(2d) = 1.55
n + 3d = 37
0.05n + 0.10d + 0.02d = 1.55
n + 3d = 37 (1)
0.05n + 0.12d = 1.55 (2)
Multiply (1) by 0.05
0.05n + 0.15d = 1.85
0.05n + 0.12p = 1.55
Subtract
0.15d - 0.12d = 1.85 - 1.55
0.03d = 0.3
d = 0.3/0.03
= 10
d = 10
p = 2d
= 2(10)
p = 20
n + d + p = 37
n + 10 + 20 = 37
n + 30 = 37
n = 37 - 30
n = 7
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Symplify the expession 71 2/3% helppp
Answer:
0.71(6)
Step-by-step explanation:
the ending of "6" is forever.