Un padre para estimular a su hijo para estudiar matemáticas le dice: por cada ejercicio que resuelvas bien te daré 7 € y por cada uno que hagas mal me darás 1 €. Después de hacer 45 ejercicios, el muchacho se encuentra con 19 €. ¿Cuántos ejercicios ha resuelto bien?
Answer:
8 ejercicios
Step-by-step explanation:
De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:
x+y= 45 (1)
7x-1y= 19 (2)
x= ejercicios que resolvió bien
y= ejercicios que resolvió mal
Primero, puedes despejar x en (1):
x= 45-y (3)
Segundo, debes reemplazar (3) en (2):
7(45-y)-1y=19
315-7y-1y= 19
315-8y= 19
315-19= 8y
296= 8y
y= 296/8
y= 37
Tercero, debes reemplazar el valor de y en (3) para encontrar x:
x= 45-37
x= 8
De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.
Anyone mind helping out with my math?
Answer:
no
Step-by-step explanation:
all the numbers are multiples of each two.
For example,
2×2=4,
4×2=8,
8×2=16
So, the line would be linear.
// have a great day //
If quadrilateral WXYZ is reflected over the y-axis, what will be the coordinates of point X ′ in the image?
Answer:
(-1,6)
Step-by-step explanation:
When you reflect over the y-axis, the x value becomes the opposite sign
Answer:
-1 6
Step-by-step explanation:
i copied the first answer
HELP ASAP!! What is the output value for the following function, f(x) = 5x - 2 if the input value is 3?
A. 17
B.51
C. 13
D. 1
Please helpp!
Answer:
C) 13
Step-by-step explanation:
f(x) = 5x -2
f(3) = 5(3) -2
f(3) = 15 - 2
f(3l) = 13
c) work out the value of 3² + 2³
d) work out the value of 2⁴ - 3²
Answer:
a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64
b) 7^4 = 7*7*7*7 = 2401
c) 3^2 + 2^3
= 9 + 8
= 17
d) 2^4 - 3^2
= 16 - 9
= 7
Onesimus bought a phone for $ 75 and signed up for a single-line phone plan with 2000 monthly anytime minutes. The cost of the plan was $ 124.36 per month. Calculate the cost for 21 months assuming that the number of minutes does not exceed 2000 per month
Answer:
cost for 21 months without considering cost of phone is $2,611.56
Total cost inclusive of cost of phone = $2,686.56
Step-by-step explanation:
cost of 2000 monthly anytime minutes plan = $ 124.36
So , in 1 month cost for given plan = $ 124.36
we have to find cost for 21 month
In 21 month, cost for given plan = 21 * cost of 1 month plan
In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56
cost for 21 months is $2,611.56.
Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.
In case cost of phone is included then
Total cost inclusive of cost of phone = $2,611.56 + $75 = $2,686.56
step 1
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
Answer:
a. 54
b. 9.35
Step-by-step explanation:
a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.
15.34/0.59 = 26
then add it to the number of free songs you downloaded
26 + 28 = 54
b. divide 15.34 by 1.64
15.34/1.64 = 9.35
for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.
How many edges does the following shape have?
Subtract -5/8 -(-1/4)
plzz answer now!
Answer: -5/18 - (-1/4) = -1/36
Step by step:
To subtract, find the LCD and then combine
So this is your answer,
-1/36
Help please
What are the coordinates of the hole in the graph of the function?
f(x)=x2−3x−10/x−5
Enter your answer in the boxes.
Answer:
(5, 7)
Step-by-step explanation:
A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.
The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.
__
[tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]
The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).
At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?
Answer:
54 adult tickets and 27 child ticket
54×9.10+5.20×27=631.80
419.4+104.4=631.80
631.80=631.80 ( so it's the answer)
$49 per month for unlimited calling plus 5 cents for each text message. Is this proportional or non proportional?
Answer: proptional
Step-by-step explanation:
Please help me with my question!!
Answer:
14 ornaments.
Step-by-step explanation:
To find the amount of ornaments students can make from 3 1/2 pieces of Bristol board, you will need to divide fractions. Therefore:
Begin by converting '3 1/2' to an improper fraction.
3 1/2 = [tex]\frac{7}{2}[/tex]
Divide '1/4' from the total amount by multiplying by the reciprocal.
[tex]\frac{7}{2} * \frac{4}{1} = \frac{7* 4}{2 *1} = \frac{28}{2} = 14[/tex]
Therefore, the students can make 14 ornaments.
Solve x
3x+6=42 please help me get this done
_______________________________
Solution,
3x+6=42
or,3x=42-6
or, 3x=36
or,X=36/3
X=12
The value of X is 12.
hope it helps
Good luck on your assignment
____________________________
Answer:
this can be solved by using transposition method let me tell you how
Step-by-step explanation:
3x+6=42
+6 will transpose to the rhs
=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)
= 3x = 36
3x will transpose and will become division
= x = 36 /3
=x =12
the value of x is 12
Please help! Correct answer only please! I need to finish this assignment by today.
One morning, boats from all along the Atlantic coast docked at a busy marina.
What is the experimental probability that the next boat to dock will be from Rhode Island?
Simplify your answer and write it as a fraction or whole number.
P(Rhode Island) =
Answer:
1/4
Step-by-step explanation:
there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)
Pls answer all 3 questions
Answer:
a) x=4
b) y=3
c) 3m-2n
Perform the indicated operation.
15 - 12
3
-3
-27
27
Answer:
3
Step-by-step explanation:
15-12
This is 12 taken away from 15
00000000 _ 000000
0000000 000000 000
15 marbles -- 12 marbles = 3 marbles
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12
Answer:
x + y = 26 and x – y = 12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just did it
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
A. 9012 cubic centimeters
B. 9412 cubic centimeters
C. 95 cubic centimeters
D. 9512 cubic centimeters
The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.
To find the volume of a rectangular prism, you can use the formula:
Volume = length (l) * width (w) * height (h)
Given:
l = 412 cm
w = 312 cm
h = 6 cm
Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters
Thus, the volume of the given rectangular prism is 771264 cubic centimeters.
Learn more about volume here:
https://brainly.com/question/31621849
#SPJ12
i need help pls i would really appreciate it !!
Given the explicit formula, calculate the first four (4) terms.
1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n
plz help me out
Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth
Answer:
=1/26
Step-by-step explanation:
In a 52 card deck there are 2 red 8's ( hearts and diamonds)
P(red 8) = number of red 8's / total
=2/52
=1/26
You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?
Answer:
median
Step-by-step explanation:
The first step is to sort the numbers from largest to smallest (you could go the other way as well).
60 52 48 44 20 16 12
The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.
The mean is the average. We'll call it the new average
The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252
The new mean is 252 / 7 = 36
=====================
The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)
52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32
The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.
=======================
The median increased from 44 to 32 = 12
The mean went from 32 to 36 which is 4
Answer: the median increased more
Which graph shows a system with no solutions?
Answer:
A Graph b
Step-by-step explanation:
Since the two lines are parellel, they will never intersect and there will be no solutions
(08.01 LC)
Find the circumference and area of a circle with a diameter of 10 inches. Leave your
answers in terms of pi.
O C = 51: A = 20
O C = 10; A = 20
O C = 10; A = 25T
O C = 5T; A = 2511
Answer:
Area = πr^2
= π * 5^2
= 25π
Circumference = 2πr
= 2 * π * 5
= 10π
Answer:
C= 10, A= 25
Step-by-step explanation:
d= 10 in
r= d/2= 5 in
C= 2πr= 2π*5= 10 π in
A= πr²= π*5²= 25 π in²
cuba is famous of which crop
The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
Answer:
$12.75 is answer c
Step-by-step explanation:
Which of the following expressions represents the verbal description below?
the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
Answer:
((4x-6)^3)/(2(x+1))
Answer:
[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Step-by-step explanation:
the difference of 4 times x and 6 4x - 6
the cube of the difference of 4 times x and 6 [tex](4x - 6)^3[/tex]
the sum of x and 1 x + 1
2 times the sum of x and 1 2(x + 1)
the cube of the difference of 4 times x and 6
divided by 2 times the sum of x and 1 [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Therefore, the verbal description "the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1" translates to the expression below.
[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is P(blue)=0.34. Write this probability as a percent and a fraction.
Answer:
0.34 can be written as 34% or 34/100.
solve the system of equations below. x-2y=3 2x-3y=9
Answer: x = 9, y = 3
Step-by-step explanation:
9 - 2(3) = 3
9 - 6 = 3
2(9) - 3(3) = 9
18 - 9 = 9
Answer:
x=9, y= 3
Step-by-step explanation:
x-2y=3
2x-3y=9
Multiply the first equation by -2
-2x +4y = -6
Add this to the second equation
-2x +4y = -6
2x-3y=9
------------------
y = 3
Now find x
x -2y =3
x -2(3) = 3
x-6 = 3
Add 6 to each side
x = 9
