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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
Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?
Answer:
4.3 hours
Step-by-step explanation:
Let the number of hours Sally does a job = x
Let the number did hours Joan does a job be equal to y
Sally and Joan were able to dust the house in 3 hours together.
1/x + 1/y = 1/3
It takes Joan 10 hours to finish the same job alone.
Hence,
1/x + 1/10 = 1/3
1/x = 1/3 - 1/10
Least common dey = 30
1/x = 10 - 3/30
1/x = 7/30
Cross Multiply
x × 7 = 30
7x = 30
x = 30/7
x = 4.2857142857 hours
Approximately = 4.3 hours
Without help, it would take Sally 4.3 hours to finish the same job.
What is the inverse of the function f(x) = 2x + 1?
Answer:
y = x/2 -1/2
Step-by-step explanation:
let’s write this equation as
y = 2x + 1
to find the inverse let’s switch x and y
x = 2y + 1
and solve for y
x -1 = 2y
y = x/2 -1/2
so the inverse is
y = x/2 -1/2
Use the inverse variation equation to fill in the table.
Answer: a= 0.1 b=20.775 c=0.02
Step-by-step explanation:
just got it right on edg
A test has 20 questions and is worth 100 points. The unit rate is Points per question?
Answer:
15
Step-by-step explanation:
Answer:
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choose the equation that represents the graph below
Answer:
The third one
Step-by-step explanation:
The slope is negative which means the right side goes down and the y-intercept is 6 which means the line intercepts the point 6 on the y axis.
PLEASE HELP ME!!
BEST ANSWER GETS BRAINLIEST
Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.
3 meters
-2 meters
-3.1 meters
1 and StartFraction 7 over 8 EndFractionmeters
Negative 2 and one-halfmeters
Answer:
-2, -3.1, -2.5
Step-by-step explanation:
Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.
The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;
-2 meter
-3.1 meter
Negative 2 and one-half meters
Given that;
A diver’s position is in the surface of the water diving into a pool.
We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.
What is Negative number?
A number less than zero is called the negative number.
A diver’s position is in the surface of the water diving into a pool.
Since, Diving into a pool is represents negative number.
Hence, The number to represents a diver's position is in negative sign.
So, The numbers are;
⇒ -2 meter
⇒ -3.1 meter
⇒ Negative 2 and one-half meters.
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4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2
PLease help me find the unit rate for $140 for 18 ft
Answer:
Step-by-step explanation:
So,
$140 Dollars per 18 feet
Divide by 18 on both sides
140/18=18/18
140/18 is equal to 7 and 2/9
The answer is 7.77777778
If 3x - 6 = 21, what is the value of x - 2 ?
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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solve of system of equation.
9x + 2y = -38
9x+10y=26.
Answer:
(-6 , 8 )
Hope this helps!
help please !!!!!!! if you can
Hello!
The answer is 128,075!
Hopefully this helps! :3
Jan's flower garden has only daffodils and tulips
in it. There are 15 dallodils and 12 tulips. What
is the ratio of the number of tulins to the total
number of flowers in Jan's garden?
when divided by 6 i am 200 when divided by 4 i am 200
Answer:
umm
Step-by-step explanation:
what? XD wdym
confusion...
put x^2+15x+56 and make it into a word problem!
set of integers between -4 and 4
Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
.A carpenter bought some wood for #900. He used the wood to make a shelf which he sold for #3000. What percentage profit was this?. Single choice.
42.86%
233.33%
2100%
900%
Answer:
233.33%
Step-by-step explanation:
His profit is 233.33%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, given that,
A carpenter bought some wood for #900.
He used the wood to make a shelf which he sold for #3000
Profit= #(3000-900)
=#2100
So, percentage of profit = 233.33%
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The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answer:
The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Step-by-step explanation:
We are given
Average of 3 quiz grades = 17
Grade of quiz 1 = 14
Grade of quiz 2 = 19
We need to find Grade of quiz 3
The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]
Using formula and finding the grade of quiz 3
[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]
So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle
Answer: 30, 60, 90
Step-by-step explanation: 30 * (1:2:3)
30+60+90 =180
Sum of all angles of a triangle is 180
Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper
Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
Which of the following lists is in order from least to greatest?
V5.4,32,-2.
-2, 5, 4, 32
-2, 4, 3², 5
2, 32, 4, 5
Answer:
second one
Step-by-step explanation:
just need 5 and 6 done due in 20 minutes plz help
Step-by-step explanation:
5. Let the equation of the line be y = mx + c
m = (6-15)/(2-(-1)) = -3
sub (2, 6) and m = -3:
6 = -3(2) + c
c = 12
Equation of the line: y = -3x + 12
6. Let the equation of the line be y = mx + c
y-intercept of 7 means c = 7
y = mx + 7
x-intercept: value of x when y = 0
therefore, sub (4, 0):
0 = m(4) + 7
m = -7/4
Equation of the line: y = -7/4x + 7
this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)
La factura de celular del mes pasado ascendió a un total de $239 por un consumo de 269 minutos de llamada, mientras que la de este mes ascendió a $175 por un consumo de 141 minutos. El importe es la suma de una tasa fija (renta de línea) más un precio fijo por minuto. Calcular la tasa y el precio por minuto
Answer:
Costo fijo= $104.5
Costo unitario= $0.5 por minuto
Step-by-step explanation:
Mes pasado:
$239 por 269 minutos
Mes corriente:
$175 por 141 minutos
Primero debemos calcular el cost por minuto de llamada:
Costo unitario= (costo total más alto - costo total más bajo) / (cantidad de minutos más alto - cantidad de minutos más bajo)
Costo unitario= (239 - 175) / (269 - 141)
Costo unitario= $0.5 por minuto
Ahora, el costo fijo:
Costo fijo= costo total más alto - (costo unitario*cantidad de minutos más alto)
Costo fijo= 239 - (0.5*269)
Costo fijo= $104.5
Costo fijo= costo total más bajo - (costo unitario*cantidad de minutos más bajo)
Costo fijo= 175 - (0.5*141)
Costo fijo= $104.5
Which set is not closed under addition
A. Natural numbers
B. Even integers
C. Odd numbers
D. Whole numbers
is 2.6666666667 a rational number
Answer:
No.
Step-by-step explanation:
I believe that the number above is irrational, because it repeats.
Math question help, it’s in the photo. Thank you!
Instructions: Write and solve an equation to find the measure or angle x.
Answer:
x = 30
Step-by-step explanation:
Okay the triangle should add up to 180.
The square represents a right angle = 90°
So just do this
60° + 90° + x = 180 (collect like terms)
150° + x = 180 (subtract 150 on both sides)
x = 30
Hope this helps ya!
Answer:
x = 30
Step-by-step explanation:
the trinagle has an angle of 180.
and the trainage has a 90° next to the 60
So
60° + 90° + x = 180 (there are term)
150° + x = 180
subtract 150 on both sides
150 - 150 180-150 = x = 30
What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes
Answer:
down
Step-by-step explanation:
are there options
Arrange each set of real numbers in increasing order.
please help me
If |z| = 1, where z = x + yi ... find the real part of the number 1 / z-1??
Answer:
Step-by-step exmark brain list answers
mark
get 3 point
freee
planation:
Gabriel cycles 1,200 meters in 6 minutes. What is his speed?
Which number is greater 35, 6.1