Answer:
n = 13
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)
[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)
3 + 7(n - 1) = 63 + 2(n - 1)
3 + 7n - 7 = 63 + 2n - 2
5n = 65
n = 13
Answer:
n = 13
Step-by-step explanation:
AP = 2, 10, 17 ...
AP1 = 63,65, 67
Find the general term of AP
L = a + (n - 1)*d
a = 2
d = 7
Find the general term of AP1
L = 63 + (n - 1)*d
a = 63
d = 2
Equation to equate both of them
L = 3 + (n-1)7
L1 = 63 + (n - 1)*2
Equate L and L1
2 + (n - 1)*7= 63 + (n-1)*2 Subtract 3 from both sides
(n - 1)*7 = 63 - 3 + (n - 1)*2 Remove the brackets
7n - 7 = 60 + 2n - 2 Combine the like terms on the right
7n - 7 = 58 + 2n Subtract 2n from both sides
7n - 2n -7 = 58 Add 7 to both sides
5n = 58 +7 Divide by 5
n = 65/5
n = 13
So the 13th term on each series is equal.
L_13 = 3 + (13 - 1)*7
L_13 = 3 + (12)*7
L_13 = 87
=====================
L'_13 = 63 + (13 -1 ) * 2
L'_13 = 63 + 12*2
L'_13 = 87
Felicia paid $125 to join a tennis club. She pays an additional $5 every time she uses on of the tennis club occurs.
State what x and y represent in context
What is the y-intercept for the question and explain what it represents in context
You can model the situation you described as
[tex]y=125+5x[/tex]
Where [tex]y[/tex] represents the money spent, and [tex]x[/tex] the number of uses.
The [tex]y[/tex] intercept is 125, which represents the money spent without using the club even once. In fact, to find it you set [tex]x=0[/tex], i.e. zero usage.
one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.
Answer:
It would take x = 72 minutes to drain the pool.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water poolAs the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
y-intercept = b = 36As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
Thus, the rate of change or slope = m = -1/2Thus, using the equation
[tex]y = mx+b[/tex]
substituting m = -1/2 and b = 36
[tex]y\:=\:-\frac{1}{2}x+36[/tex]
We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation
[tex]0=-\frac{1}{2}x+36[/tex]
switching sides
[tex]-\frac{1}{2}x+36=0[/tex]
subtract 36 from both sides
[tex]-\frac{1}{2}x+36-36=0-36[/tex]
[tex]-\frac{1}{2}x=-36[/tex]
Multiplying both sides by -2
[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]
[tex]x=72[/tex]
Therefore, it would take x = 72 minutes to drain the pool.
48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?
Answer:
16 students
Step-by-step explanation:
48+64=112
the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
2.
(04.01) WILL GIVE BRAINLIEST
Which of the tables represents a function? (4 points)
Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D
Answer:
C
Step-by-step explanation:
Answer:
it is c
Step-by-step explanation:
hope this helps
Michael has credit card debt of $75,000 that has an 12% APR, compounded monthly. The minimum payment only the requires him to pay the interest on his debt. He receives an offer for a credit with an APR of 4% compounded monthly. If he rolls over his debt onto his card and makes the same monthly payment as before, how long will it take him to pay off his credit card debt?
Answer: 122 months.
Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.
I need help!!! Please figure it out and type it out.
Answer:
the mean number is 2.7
Step-by-step explanation:
if you add up the frequency of books then divide by 20 you get 2.7
What is the quotient of 2 ÷2/3 plz help
Answer:
3
Step-by-step explanation:
2/(2/3)=(2/1)/(2/3)=(2/1)(3/2)=6/2=3
Answer:
3, I think (hope this helps)
Step-by-step explanation:
Here are three symbols.
<
>
=
Write one of these symbols in each box to make four true state
Step-by-step explanation:
4 + 9 = 3 ^ {2}
13=3^{2}
13=9
Answer:
a. <
b. =
c. =
d. >
these are correct I guess
Explain how you found your answer
Answer:
let the total cost of a rug be x
then
30% of x =75
30/100*x =75
3x=750
x=750/3 = 250
Marc owe = 250-75 =175
Step-by-step explanation:
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
Use the given numbers.
146,406
364,640
344,636
Part A
Which number has one digit that represents ten times the value of the digit to its right?
Enter your answer in the box.
Answer:
on the third number it says 344,636 and there is a double 4
how do you graph x ≥ 6 and
x ≥ -0.6
on a line graph
Step-by-step explanation:
A line graph, or a number line, has the numbers on different points along the graph. It's a little hard to explain since I can't draw one, but for x>=6, jut plot 6 on the number line as normal. Then since it could be equal to six, put a closed circle (if it wasn't equal to then it would be an open circle).
Now since x is greater than, draw an arrow to the right (since the numbers increase the farther right you go). The follow the same idea for the other one.
Answer:
Look at the Picture.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Since the greater than sign is used, the circle will be filled in.
Since x is greater than the number, the line arrow will go in the direction of the number that is greater than it.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.
Answer:
see below
Step-by-step explanation:
5/6 × 1/5= 1/6
Rewrite the fractions
5/5 * 1/6 = 1/6
1 * 1/6 = 1/6
1/6 = 1/6
Answer:
below
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{5} [/tex]
divided 5 by 5
[tex] 5 \div 5 = 1 [/tex]
multiply 1 by 1/6
[tex] 1 \times \frac{1}{6} [/tex]
hence,
[tex] = \frac{1}{6} [/tex]
Am I correct? I would like to know, thanks!
Answer:
a) <CA
b) im not sure about this one
Step-by-step explanation:
Use the following coordinate plane to write the ordered pair for each point.
If you can PLZ help
Answer:
For A it is 0,5
For B it is 1,3
For C it is 4,3
A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?
Answer: 50,000ft^3
Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor
Complete the table.
y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u
9514 1404 393
Answer:
u = x +14 u = πx^5Step-by-step explanation:
I find it easiest to match the patterns. You could also work this by finding inverse functions.
1.
[tex]y=u^{-1/2}\\\\y=\dfrac{1}{\sqrt{u}}=\dfrac{1}{\sqrt{x+14}}\\\\u=x+14 \qquad\text{match radical contents}[/tex]
__
2.
[tex]y=8\tan{u}=8\tan{(\pi x^5)}\\\\u=\pi x^5 \qquad\text{match tangent arguments}[/tex]
Can some one help meeee
Answer:
With what? there is nothing here
Step-by-step explanation:
A manager purchased a total of 25 short sleeved and long sleeved shirts. Each short sleeved shirt costs $15 and each long sleeved shirt
costs $20. If the manager spent a total of $425, how many short sleeved shirts did the manager buy?
Help me out here please I need some help here
NEED BY TODAY PLEASE GET RIGHT
15r-15s=
can you help
Answer:
=15r−15s
or if it is a factor:
15(r−s)
The area of a rectangular field is 200 m²and its perimeter is 60 m. Find the lengthand width of the field.
Answer:
length: 20m
width: 10m
(or vice versa)
Step-by-step explanation:
By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:
200=20x10
200=200
60=2(20)+2(10)
60=40+20
60=60
What is the value of -4^2+(5-2)(-6)?
O-34
O-2
O 10
O 34
The value of -4² + (5-2) (-8) is -34.
What is Integer?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have expression as -4² + (5-2) (-8)
Now, solving the terms in the expression
-4² = -(4 x 4)= -16
and, (5-2) (-6)
= 3 (-6)
= -18
So, the value of -4² + (5-2) (-6)
= -16 - 18
= -34
Learn more about Integer here:
https://brainly.com/question/15276410
#SPJ1
ill give the crown things
Dash & Lily like to read books. Dash has read 25 books this summer, and Lily has also read some books this summer.
If together they have read 78 books, how many did Lily read?
Answer:
Lily read 53 books
Step-by-step explanation:
78-25=53
Hope this helps! :3
Plz mark as brainliest!
Graph the line that passes through the two lines (1,5/2), (-1/2,-1/4)
Answer:
Image below
Step-by-step explanation:
Graph of a Line Given Two Points
We are given the points (1,5/2), (-1/2,-1/4).
A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.
The point (1,5/2) is converted to decimal as (1,2.5)
The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)
This helps to define the divisions of each axis and properly draw the line.
Please refer to the image below.
Answer quickly for brainliest!!!
Answer:
Subtract 5 from both sides.
Step-by-step explanation:
Answer:
C. subtract 5 from both sides.
Step-by-step explanation:
when solved, its y=7
2.85 tons when rounded to the nearest hundreds
Answer:
2.861
Step-by-step explanation:
х
У
о
12
1
8
N
4
3
о
4
4
Answer:
13
Step-by-step explanation:
Sorry im in 5th grade.