One customer paid $12 for 14 postcards and 5 large envelopes. Another customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?
Answer:
$1.42
Step-by-step explanation:
Since, The first customer paid $12 for 14 postcards and 5 large envelopes.
That is, 14 x + 5 y = 12 ------ (1)
And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.
That is, 10 x + 15 y = 24.80 -------(2)
3 × equation (1),
We get, 42 x + 15 y = 36 ---------(3)
Equation (3) - Equation (2)
32 x = 11.20
⇒ x = 11.20/32
⇒ x = 0.35
By putting the value of x in equation (1),
We get, 14 × 0.35 + 5 y = 12
⇒ 4.9 + 5 y = 12
⇒ 5 y = 7.1
⇒ y = 1.42
Thus, the cost of one postcard = $ 0.35
And, the cost of each large envelope = $ 1.42
A house has increased in value by 35% since it was purchased. If the current value is 648,000, what was the value when it was purchased?
Answer:
Purchase rate of the house is $480000.
Step-by-step explanation:
Let the purchase rate of the house = $p
Current value of the house = $648000
If the current rate of the house has increased by 35% of the purchase rate,
Current rate = Purchase rate + 35% of the purchase rate
648000 = p + (35% of p)
648000 = p + [tex]p\times \frac{35}{100}[/tex]
648000 = p + 0.35p
648000 = (1.35)p
p = [tex]\frac{648000}{1.35}[/tex]
p = $480000
Therefore, purchase rate of the house is $480000.
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET
Answer:
False
Step-by-step explanation:
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
Hey can yall help me
what's 9+10+2=
Answer:
21
Step-by-step explanation:
: P
Answer:
21
Step-by-step explanation:
umm that's kindergarten math-
Need help please urgent. Correct answers only no links.
Answer:
the exact answer is 314.159265359
Step-by-step explanation:
but it simplifies to 314.16
Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)
Answer:
the answer is A. y=2sin(1/2x)+1
Step-by-step explanation:
I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph
The function that matches the graph is y= 2 sin(1/2x) +1.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
let y = A sin ([tex]\omega[/tex]x + Ф)+ k
T= 4π, w= 2π/T = 1/2
Now, midline= 1/2( max + min)
=1/2(3-1)= 2/2
k=1
and, A= 3-1 = 2
So, y= 2 sin(1/2x + Ф) +1
as, Ф=0
So, y= 2 sin(1/2x) +1
Learn more about graph here:
https://brainly.com/question/16608196
#SPJ5
Select all the expressions that are equivalent to 20% of 150.
Answer:
2 and 3
Step-by-step explanation:
30 is 20% of 150
I hope this helps
Have a great day
I need Help please!!
Need help on this one last question
Answer:
available
Step-by-step explanation:
if its available if available comment
Help please due soon
Answer:
i think it's 15%
Step-by-step explanation:
A swimming pool is in the shape of a right triangle. One leg has a length of 15 feet and the hypotenuse is √325 feet. Estimate the length of the other leg. Round to the nearest integer, if necessary
Answer:
10 feet
Step-by-step explanation:
a^2+b^2=c^2
15^2+B^2=365
225+b^2=365
b^2=100
b=10
que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo
Answer:
ENGLISH
One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.
SPANISH TRANSLATION
Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.
Look at the inequality.
3y > 27
Which set of values for y will make this inequality true?
A. 4,5,8
B. 5, 7,9
C9, 12, 14
D. 11, 13, 22
Answer:
D) 11,13,22
Step-by-step explanation:
If 3y>27, then y>9. Therefore, D is the correct answer (C is not correct BTW because 9 isn't included in the inequality).
Un arquitecto ha pagado en un corralón un total de $ 130 por 20 Ladrillos, 5 kg de Arena y 10 kg de Cemento. Calcular el precio de cada articulo, sabiendo que 1 kg de Cemento cuesta el triple que 1 Ladrillo y que 1 kg de Arena cuesta igual que 4 kg de Cemento más 4 Ladrillos. Siendo: número de ladrillos y: kg de arena kg de cemento
Answer:
1 ladrillo cuesta 1 dólar. 1 brick costs 1 dollars.
1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars
1 kg de arena cuesta $ 16: 1 kg sand costs $ 16
Step-by-step explanation:
Spanish
Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada
20b + 5s + 10c = $ 130 --- ecuación 1
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
Poniendo la ecuación 2 en la ecuación 3
1s = 4 (3b) + 4b
1s = 16b ---------- ecuación 4
20b + 5s + 10 (3b) = $ 130
50b + 5s = 130 --- ecuación 5
Poniendo la ecuación 4 en la ecuación 5
50 b + 5 (16b) = 130
50 b + 80b = 130
130 b = 130
b = 130/130 = $ 1 ------- ecuación a
1 ladrillo cuesta 1 dólar.
Poner el valor de costo de 1 ladrillo en estas ecuaciones
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
1c = 3 (1) = $ 3 -------- ecuación b
1 kg de cemento cuesta 3 dólares
1s = 4c + 4b
1 s = 4 (3) + 4 (1)
1 s = 12 + 4
1s = $ 16 ------ ecuación c
1 kg de arena cuesta $ 16
Poner valores de la ecuación a, b, c en la ecuación 1
20b + 5s + 10c = $ 130
20 (1) + 5 (16) + 10 (3) = 130
20 + 80 + 30 = 130
130 = 130 ------------ por lo tanto probado
English
Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition
20b+ 5s+ 10c= $130--- equation 1
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
Putting equation 2 in equation 3
1s= 4(3b) + 4b
1s= 16b---------- equation 4
20b+ 5s+ 10(3b)= $130
50b + 5s= 130--- equation 5
Putting equation 4 in equation 5
50 b + 5 (16b) = 130
50 b+ 80b= 130
130 b= 130
b= 130/130= $1------- equation a
1 brick costs 1 dollars.
Putting the cost value of 1 brick in these equations
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
1c= 3(1)= $3-------- equation b
1 kg cement costs 3 dollars
1s= 4c+4b
1s= 4(3) + 4(1)
1s= 12+4
1s= $16 ------ equation c
1 kg sand costs $ 16
Putting values from equation a, b, c in equation 1
20b+ 5s+ 10c= $130
20 (1) + 5 (16) + 10 (3)= 130
20 + 80 + 30 = 130
130 = 130 ------------ hence proved
Combine these radicals
3V2-5V2
Plz help
Will give Brainlyest
Answer:
b
Step-by-step explanation:
because i said so and because i am tired and tired and tired
Answer:
[tex] - 2 \sqrt{2} [/tex]
Step-by-step explanation:
Subtract 5√2 from 3√2.
[tex] - 2 \sqrt{2} [/tex]
Hence, the answer is Option A. in decimal form the answer will be −2.82842712.
PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT
Answer: A- 12.5 million
Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.
Answer:
40 million
Step-by-step explanation:
125% of x
125/100 * x = 1.25x
x+ 10 = 1.25x
(subtract x from both sides)
10 = 1.25x - x
10 = 0.25x
(divide both sides by 0.25)
10/0.25 = x
x= 40
Which of the following is equivalent to
601/2
Answer:
B
Step-by-step explanation:
mixed number: 300 1/2 (reduced or equivalent)
decimal: 300.5 (reduced or equivalent)
percentage: 30,050% (reduced or equivalent)
Give me brainllest
Answer:
300.5 or 300[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Just divide.
A broker charges 70 per square foot to install windows how much does it cost to install the windows shown
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. Which color marble is most likely to be picked?
Answer:
A red marble
Step-by-step explanation:
First, add all of the possible combinations of marbles that can be picked from the box ( 2 + 2 + 3 + 5 = 12 ). Next, write down the amount of each marble ( 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles). Then, find the marble that appears most in the box. (red marble). Finally, not only have you found that the red marble is most likely to be picked, you also know the probability of picking a red marble, (5/12).
Answer: red
Step-by-step explanation:
the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?
Answer:
5 and 7
Step-by-step explanation:
Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?
Answer:
2/8 of the fifth graders are not in band
Step-by-step explanation:
To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).
3x + 4 = 5x -10 true or false this equation can be simplified combining like terms to become 8x + 4= -10
Write an expression that is equivalent to: -1/2(10 + 1/4)
Answer:
Step-by-step explanation:
-1/2(10 + 1/4)
10+1/4 = 41/4
Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction
-1/2(10.25)= -41/8 or 5.125
Lena bought new inline skates for $44.99. The sales tax was $4.13. How much did Lena spend in all for her new inline skates?
Step-by-step explanation:
Mam nice drawing at your backside Mam nice drawing at your backside
Brody deposited $500 into a savings account that earns 2.1% simple interest. What is the total amount in his account after 7 years?
Answer:
73.5
Step-by-step explanation:
Part/whole=percent/100
?/500=2.1%/100
500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.
So, 10.5 times 7 is 73.5
I need help please!!
La temperatura mínima en una ciudad el día lunes fue de –2 ºC y la máxima fue de 7 ºC. ¿Cuál fue la variación de temperatura en el día?
Answer:
La variación de temperatura en el día es 9°C.
Step-by-step explanation:
Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m
variación = M - m
En este caso sabemos que la temperatura mínima es -2°C
La temperatura máxima es 7°C
La variación sera entonces:
Variación = 7°C - (-2°C)
Recordar la regla de los signos:
(-)*(-) = (+)
Entonces:
Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C
La variación de temperatura en el día es 9°C.
Write the quotient as a mixed number. 99 ÷ 5 = 19 R4
PLEASE HELP :(
Answer:
19 4/5Step-by-step explanation:
99 = 5*19 + 499/5 = 19 + 4/599/5 = 19 4/5Answer:
Solution given
99/5=19 4/5 is your quotient in mixed number.
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
