13. $25/month
14. 36 and 37
Step-by-step explanation:
Let a = monthly rate ($/month)
t = time (months)
k = installation cost
The equation for the cost of the internet service C is
C = at + k
Since C = $685. t = 24 months (2 years) and k = $85, we can solve for a:
at = C - k
or
a = (C - k)/t
= ($685 - $85)/(24 months)
= $25/month
14. Let n = the number
n + 1 = the number after n
Since the sum of two consecutive numbers is 73, we can write the equation as
n + (n + 1) = 73
which simplifies to
2n + 1 = 73
2n = 72
Solving for n, we find that
n = 36
so the other number is 36 + 1 = 37.
Answer For The First Question:
25
Here's why:
Note that the cost corresponds to 2 years of service. Also, the problem asks for the one-month fee. Then, a good start would be saying: OK, the cost of 24 months of service was $685, including the installation fee. Since this fee is a one-time cost, not a monthly cost, we need to subtract it from our total cost. Then the cost of the service minus the installation fee could be written as:
24x = 685 - 85
That is 24 months of service, at x cost per month, is equal to 685 minus 85.
If you solve this equation, you will find the value of x:
24x = 600
x = 600 ÷ 24
x = 25
The monthly fee is $25. In 2 years you paid 24 times 25, or $600. Add to this amount the installation fee of $85 and you will arrive at your total cost, which includes the installation fee.
Second Answer:
36 and 37
Here's why:
36+37=73
You can solve this by first dividing 73 by 2.
73/2 = 36.5
Next, take .5 away from one of the 36.5 and give it to the other one. That gives us an answer of 36 and 37.
I hope this helps! If you are confused about anything, let me know :)
Please help me solve this!
the answer would because its 118
Which of the following is a rational number but not an integer?
74, 3/10, -25, or 170
Answer:
3/10Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
170, -25, and 74 are both Integers and Rationals.
But,
Only 3/10 is a fraction included only in rationals and not in Integers
How many t-shirts did the company purchase if their total cost was $100? Explain how you found your answer.
answer?? please?? answer.
Answer:
1=65+72
=137 degrees,,,
7+2ax =13 solve the equations for x and match the solution
Answer:
x = 3/a a cannot equal zero
Step-by-step explanation:
7+2ax =13
Subtract 7 from each side
7-7+2ax =13-7
2ax = 6
Divide each side by 2a
2ax/2a = 6/2a
x = 3/a a cannot equal zero
sarah read 20% of a book that was 150 pages long. how many pages did sarah read?
Sarah read 30 pages of the book
what is the least number that must be subtracted from 3793 so as to get a perfect square? also find the square root of the number so obtained.
Answer:
72
Step-by-step explanation:
3793 - 72 = 3721
[tex]\sqrt{3721}[/tex] =61
What is the volume of a cone that has a height of 10 feet and a base with a surface area(B) of 9 square feet?
Answer:
30 cubic feet
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Height of cone (h) = 10 feet
Base surface area = π[tex]r^{2}[/tex] = 9 sq. feet
So we can calculate the volume of cone by using following formula,
volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
Volume of cone = (1/3) 9 × 10
= 3 × 10
= 30 cubic feet
Jacob earns $5 for each hour of yard work. Write an equation that shows the relationship between the time spent x and the amount earned y.
Answer:
x = 5 y = 25
x = 10 y = 50
Step-by-step explanation:
the ratio of 2250 to 2000
Answer:
9:8
Step-by-step explanation:
2250/2000
= 225/200
=45/40
=9/8
=9:8
Answer:
Your answer is 9:8
Step-by-step explanation:
5
Find the circumference of the circle. Use 3.14 for the value of
pi. Round your answer to the nearest tenth.
12 ft
Ravi bought 3 pens and 4 notebooks for $28. Lola bought 4 pens and 8
notebooks at the same store for $52. How much does one notebook cost?
Answer:
5.50 Each
Step-by-step explanation:
Answer:
Step-by-step explanation:
3P + 4N = 28
6P+ 8N = 56
4P +8N 52
2P = 4
P = 4/2 = 2 = $2
3(2)+4N = 28
4N = 28-6=22
N = 22/4 = 5.5= $5.50= cost of one notebook
The cost of 9 trousers is $72 . Find the cost of 12 trousers
Answer:
x=96
Step-by-step explanation:
We can solve by writing ratios
9 trousers 12 trousers
------------------- = ----------------------
72 dollars x dollars
Using cross products
9x = 12 *72
9x =864
Divide by 9
9x/9 = 864/9
x=96
James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what
is the minimum length of the straight edge he needs to make the line?
15 inches
21 inches
3 inches
108 inches
how do i find the lateral area.
Answer:
lateral surface area(As)=2πrh or
=PH
Step-by-step explanation:
hope this helps :)
Por favor ayudenme con explicacion
Answer:
NA
a = 53
Step-by-step explanation:
A bisector creates two equal angles. Set them equal to each other.
5a - 160 = 2a - 1 ( subtract 2a from both sides)
3a = 159 (add 159 to both sides)
a = 53 (divide by 3)
Find the area of this semi-circle with diameter 18
Give your answer rounded to 2 DP.
Step-by-step explanation:
diameter(d): 18
radius(r): 18 ÷ 2 = 9
area of a semi-circle:
[tex]\frac{\pi {r}^{2}}{2}[/tex]
[tex]= \frac{\pi \times 9 \times 9}{2} = 127.23[/tex]
3x + 2 6x - 20 Enter
Answer:
=3x+26x-20
=29x-20
Hope this helps! have a great day ahead! :D
Answer:
= 29x-20
Step-by-step explanation:
= 3x + 2 6x - 20
= 29x-20
Hope this answer helps you :)
Have a great day
Mark brainliest
help
x - y + z; when x = 10, y = 2 and z = 15
x^3 - 9; when x = 3
6.5 - n; when n = 1.8
what are the answers? I need help asap :(
Answer:
the first one is 23
the second 18
the third 4.7
Step-by-step explanation:
10-2+15 = 8+15 = 23
x³-9 = 3³-9 = 27-9= 18
6.5-n= 6.5-1.8= 4.7
For the following right triangle, find the side length x. Round your answer to the nearest hundredth. X, 18, and 10
Answer:
152
Step-by-step explanation:
All segments in a triangle add to 180. 1
8+10+x=180
x=152
The length x using Pythagoras theorem is 15 unit.
What is Pythagoras theorem?According to the Pythagorean theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Given:
Hypotenuse = 18 unit
Perpendicular = 10 unit
using Pythagoras theorem
H² = P² + B²
18² = 10² + B²
324 = 100 + B²
324 - 100 = B²
B² = 224
B= 14.966 unit
B= 15 unit
Thus, the measure for x is 15 unit.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ7
use the given circle to find the values of x, y and z
Answer:
x=10 y=90 z=20
Step-by-step explanation:
The input or values that you could put into an expression or
equation.
Answer: Domain
Step-by-step explanation: I just did this question, and got it correct by putting domain.
The input or values that you could put into an expression or
equation is called a Domain
What is range and domain of a function?
Domain is set of values in a function . The range of the function is the set of values that the function assume .
Since , domain refers to the set of possible input values , it consists of all the input values shown on the x axis .
The input or values that you could put into an expression or
equation is called a Domain
learn more about Domain:
https://brainly.com/question/13113489?referrer=searchResults
#SPJ2
what is the value of 2 X ?
Which represents the explicit formula for the arithmetic sequence on = 7 - 3(n - 1) in function form?
f(n) = 3n - 6
B f(n) = -3n - 6
f(n) = 3n - 10
D f(n) = -3n + 10
Answer:
Step-by-step explanation:
All this question is asking you to do is distribute through the parenthesis to simplify. Doing that gives us
f(n) = 7 - 3n + 3 and
f(n) = 10 - 3n or
f(n) = -3n + 10, choice D.
The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10 thus option (D) is correct.
What is a function?An arrangement known as a function connects inputs to essentially one output.
The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.
As per the given,
a_n = 7 - 3(n - 1)
f(n) = 7 - 3n + 3
f(n) = -3n + 10
Hence "The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10".
For more about the function,
brainly.com/question/23712366
#SPJ2
What is the average rate of change for this exponential function for the interval from x = 7 to x = 8?
Answer:
4374
Step-by-step explanation:
Since, we are given table for x and y values
and table for average rate of changes
we can see the pattern of average rate of change
average rate of change for 5 to 6 is three times average rate of change for 4 to 5
but we have to find
average rate of change for 7 to 8
so, using same pattern
average rate of change for 6 to 7 is three times average rate of change for 5 to 6
average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)
so, we can plug value
average rate of change for 7 to 8 is 3*3*486
average rate of change for 7 to 8 is 4374
simplify: 4a + 3h + a + 2h
(with the steps please)
Answer:
5a+5h
Step-by-step explanation:
4a+3h+a+2h
add all the common factors
5a+5h
then that is your answer because you can not add the other ones because they do not have the same letter but if they were the same letter then you would add them.
Answer:
Step-by-step explanation:
4a + 3h + a + 2h
5a + 3h + 2h
Solution
5a + 5h
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
1809.6
Step-by-step explanation:
Volume of a cylinder
V= pie* r ^2*h
Answer:
v = 1,809.56
Step-by-step explanation:
Formula=
V = Pi (3.14) r^2 h
pi 6^2·16
I really need help:(
Answer:
1. e
2. c
3. d
4. a
5. b
Step-by-step explanation:
can someone help me please !!
Answer:
So if you take the diameter of the quotion of the Additional caustxof being to pig it is between 1 and 908
) Would you rather receive $1,500 a year for 12 years, or $1,200 a year for 20 years if the interest rate is 7%?
Answer:
$1200 should receive.
Step-by-step explanation:
To check whether to receive $1500 or $1200 just find the present values of each amount.
Present value of annuity $1500:
Present value of annuity = Annuity (P/A, 7%, 12)
Present value of annuity = 1500 (P/A, 7%, 12)
Present value of annuity = 1500 (7.9426)
Present value of annuity = $11913.9
Present value of annuity $1200:
Present value of annuity = Annuity (P/A, 7%, 20)
Present value of annuity = 1500 (P/A, 7%, 20)
Present value of annuity = 1500 (10.5940)
Present value of annuity = $15891
Thus, $1200 should receive.