Answer:
All are rational.
Step-by-step explanation:
1)
=1/3/3/5
=1/3×5/3
=5/9
5/9 is non-terminating and recurring number so it is rational.
2)
4/3√9/5
=4/3*3/5
=4/5
4/5 is a terminating number it is rational.
3)
2*√16/√4
=2*4/2
=4
4 is a natural/whole number it is also rational.
Note:if you need to ask any questions please let me know.
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answer:
765
Step-by-step explanation:
1)4.25/100=0.0425
2)0.0425*3600=153
3)153*5=765
Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2
Answer:
9680 ft^2
Step-by-step explanation:
1 acre = 43,560 ft^2
(2/9) acre = (2/9)*43,560 ft^2
(2/9) acre = 9680 ft^2
Moly and Lynn both set aside money weekly for their savings. Molly already has $650 set aside and adds $35 each week. Lynn already has $825
set aside but acids only 515 each week. Which inequality could they use to determine how many weeks, it will take for Mollys savings to
exceed Lyon's savings?
Answer:
650+35w>825+15w
Step-by-step explanation:
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =
Step-by-step explanation:
a1 = -4 = -4/1, a2 = 8/3
r = a2/a1 = (8/3) / (-4/1) = -2/3
the formula :
an = a1. r^(n-1)
so,
an = (-4). (-2/3)^(n-1)
Step-by-step explanation:
[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]
You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?
9514 1404 393
Answer:
20 years
Step-by-step explanation:
The interest earned is found using the formula ...
I = Prt
where principal P is invested at rate r for t years. Solving for t, we find ...
t = I/(Pr) = $900/($1500×0.03) = 900/45
t = 20
You must leave the money in the account for 20 years to earn $900 in interest.
Find - 36
.
Ο +6
-6
9Ο
Ο 18
Answer:
+or-6
Step-by-step explanation:
This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.
Answer:
Step-by-step explanation:
PLEASE HELP
X+11/8 = -3
Show your work in details if you can, I have a hard time understanding this.
Answer:
[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]
maaf jika salah
Answer:
x=-35
Step-by-step explanation:
x+11=-3*8
x+11=-24
x=-24-11
x=-35
Help!
Find the value of x for which ABCD must be a parallelogram.
please answer my question it's urgent
a = 16
Solution:common ratio = (-1/8)/(1/16)=-2a1 = 1/6
n=9
an = a1 (r n-1)a9 = a1
a9 = 1/16 (-2 9-1)
a9 = 1/16 (-28)
a9 = 1/16 (256)
a9 = 16
I hope this helps :)
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
123.4
1234 over 12
123 + 4
1234 over 1480
Answer:
123.4
Step-by-step explanation:
Help please asap first answer get brainliest
Beging you please
Answers:
12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15
13. 2/4*4/6 = 8/24 = 1/3
14. 3/4*3/6 = 9/24 = 3/8
15. 2/6*4/6 = 8/36 = 2/9
16. 2/4*1/6 = 2/24 = 1/12
17. 3/4/1/6 = 18/4 = 9/2
18. 3/4/2/4 = 12/8 = 3/2
19. 3/6/4/6 = 18/24 = 3/4
20. 5/7+2/7 = 7/7 = 1
21. 4/5+5/7 = 53/35
22. 3/5+5/5 = 8/5
23. 1/6-1/6 = 0
24. 3/7-2/3 = -5/21
25. 3/5-2/7 = 11/35
A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?
(Remember for trapezoids A= (b1 + b2)/2 x h
Answer:
Step-by-step explanation:
buzhou一=12212+13。8.12+13.8=25.8 25.8x9.4=?242.52242.522
The area of the trapezoid is given by A = 121.26 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the equation will be
Let the height of the trapezium be H = 9.4 feet
The shorter base of the trapezium a = 12 feet
The longer base of the trapezium b = 13.8 feet
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying the equation , we get
Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2
Area of Trapezium A = 121.26 feet²
Hence , the area of trapezium is 121.26 feet²
To learn more about area of trapezium click :
https://brainly.com/question/12221769
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Find NL. Not sure to to solve this.
Answer:
NL= 2 × HI
x+24 =2 × (X+16)
x+24=2x + 32
2x-x= 24-32
x= – 8
NL=x+24 = –8 +24= 16
So ; NL= 16
I hope I helped you^_^
Can someone help me thanks!
Answer:
If it goes to the left it becomes in the hundredths place meaning it decreases
Step-by-step explanation:
Help me then get brainlest
Hi ;-)
This angle is
obtuseAnswer:
This is an obtuse angle
Step-by-step explanation:
Anything over 90 degrees is obtuse
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
40%
Step-by-step explanation:
40+30+70=140
180-140= 40
Keisha bought these supplies for school:
4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each
5. What was the total cost of the pencils and pens, including a 6% tax?
A
$13.35
B
$10.90
C
$11.55
D
$2.23
.
Answer:
C. $11.55
Step-by-step explanation:
First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!
Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Answer:
[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]
Which of the expressions below have a value of 12? Select all that apply.
A) -4 X-3
B) 6 x 2
C) -6 X-2
D) 3 X-4
E) 12 x 1
Answer:
A, B, C, and E
Step-by-step explanation:
A) -4 X-3 = 12
B) 6 x 2 = 12
C) -6 X-2 = 12
D) 3 X-4 = -12
E) 12 x 1 = 12
the expressions that have a value of 12 are :
A, B, C, and E
Answer:
Lets find
[tex]\\ \rm\longmapsto -4(-3)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 6(2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto -6(-2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 3(-4)=-12\checkmark[/tex]
[tex]\\ \rm\longmapsto 12(1)=12\checkmark[/tex]
KBL Ltd. entered into an agreement to lease a vehicle from Morgan Ltd.: Cash price of the vehicle Kshs 20.000 Lease payments: 5 instalments of Kshs 5.142 paid in arrears Required: How much of this finance charge will appear in each year's profit and loss expense in the lessee's books using the actuarial method? (10 Marks)
Finance charge is the amount it costs of borrowing money
The finance charge that will appear in each year's profit and loss expense in the lessee's books are;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
The total financial charge = 5 × 5.142 - 20.000 = 5.71
The annual percentage rate, APR, of an instalment payment is given as follows;
[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]
Solving using a graphing calculator gives;
r = APR ≈ 0.09 = 9%
The calculation for charges each year is as follows:
Payment interest for the first instalment = 20 × 9% = 1.8
The principal of the first payment = 5.142 - 1.8 = 3.342
The loan balance = 20 - 3.342 = 16.658
Payment interest for the second instalment = 16.658 × 9% = 1.49922
Second payment principal = 5.142 - 1.49922 = 3.64278
Loan balance = 16.658 - 3.64278 = 13.01522
Payment interest for the third instalment = 13.01522 × 9% = 1.1713698
Third payment principal = 5.142 - 1.1713698 = 3.9706302
Loan balance = 13.01522 - 3.9706302 = 9.0445898
Interest for the fourth payment = 9.0445898 × 9% = 0.814013082
Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918
Loan balance = 9.0445898 - 4.327986918 = 4.716602882
Fifth payment interest = 4.716602882 × 9% = 0.42449425938
Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718
Therefore, we have;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
Learn more about the actuarial method here:
https://brainly.com/question/15504405
i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ♀️
Answer:
Step-by-step explanation:
The answer is actually
Let:
S=1+2+3+4+5+6+7+8+9+n
We know the answer to the following infinite sum:
S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2
We can therefore solve for this sum:
S3=1-2+3-4+5-6+7-8+9-....
We add them:
S3= 1-2+3-4+5-6+7-8...
S3= +1-2+3-4+5-6+7-8...
________________
2S3= 1-1+1-1+1-1+1-1+1-....
Therefore:
2S3=S2=
Help please ASAP!!!!!
Answer:
answer is c because you gota tranlate it left
Step-by-step explanation:
if two adjacent sides of rectangle having perimeter 21 cm are in the ratio 3:4 what is the area of the rectangle is ...cm ?
What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.
The two answers you are looking for are 16π m² and 50.24 m².
Solution:
Finding the area of the circle,
First, knowing what the area of a circle formula is:
A=πr²
Since knowing that the radius is half the length of the diameter,
If the diameter is 8, then the radius must be 4.
A=π(4)²
A=16π m²
Now, you have the first answer. If you want to express it differently,
Using 3.14 as pi,
So, therefore,
A=16(3.14)
A=50.24 m²
So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².
Answer:
16pi and 50.24 m squared
Step-by-step explanation:
3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
Given the triangle below, find the angle θ in radians. Round to four decimal places.
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]
Use the inverse cosine ratio
[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
[tex]\displaystyle \theta=0.9626[/tex]
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!
Answer:
theta = 0.9626 radians
Step-by-step explanation:
cos theta = a/h
cos theta = 4/7 = 0.5714
so, the angle theta = arc cos 0.5714 =
55.1520 °
in radians => 55.1520 × π / 180°
= 0.9626 radians
What is the value of X minus Y if x equals 9 and Y equals -20
a square playground measures 2500 ft^2 what is the distance around the edge of the playground?
Answer:
20000
Step-by-step explanation:
Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.
Answer:
707.7, or 707
Step-by-step explanation:
0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413