Answer:
[tex]n = 11[/tex]
Step-by-step explanation:
Given
[tex]^nP_2 = 110[/tex]
Required
Solve for n
[tex]^nP_2 = 110[/tex]
Start by applying permutation formula:
[tex]\frac{n!}{(n-2)!} = 110[/tex]
Expand the numerator
[tex]\frac{n*(n-1) * (n-2)!}{(n-2)!} = 110[/tex]
(n-2)! cancels out
[tex]n*(n-1) = 110[/tex]
Expand
[tex]n^2 - n = 110[/tex]
Subtract 110 from both sides
[tex]n^2 - n -110= 110-110[/tex]
[tex]n^2 - n -110= 0[/tex]
Expand:
[tex]n^2 - 11n +10n-110= 0[/tex]
Factorize:
[tex]n(n-11) +10(n-11)= 0[/tex]
[tex](n+10)(n-11) = 0[/tex]
This implies that:
[tex]n + 10 = 0\ or\ n - 11 = 0[/tex]
[tex]n = -10\ or\ n = 11[/tex]
But n can't be negative.
So:
[tex]n = 11[/tex]
solve the system of equations using the linear combination method
Answer:
60 is all of the answer together
Solve for h.
what is h equal to?
Answer:
the last one
Step-by-step explanation:
.................
Poppy bought a new bed for $142. The tax is 7%. How much did she spend in taxes only?
Answer:
9.94
Step-by-step explanation:
Convert 7% into decimal form, 0.07 because it is 7% of 100. Then multiply 0.07 with 142 to find 7% of 142.
Answer:
$9.94
Step-by-step explanation:
The net price is $142 and the sales tax (7%) is $9.94. The total price would be $151.94.
Is x = –4 a valid solution this linear equation?
2x + 9(x – 1) = 8(2x + 2) – 5
Answer:
Yes it is!
Step-by-step explanation:
All you have to do is plug in -4 in place of all the x’s. You should get
-8x - 36 - 9 = -64x + 16 - 5
Simplified: -8x - 45 = -64x + 11
+45. + 45
-8x = -64x + 56
+64 +64
56 = 56
Answer = True
So yes -4 is a correct solution!
Dan makes several smoothies using 345 cups blueberries for every 223 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 513 cups of strawberries?
Answer:
2 2/3
Step-by-step explanation:
Pls anserw I need help
Answer:
2.7
Step-by-step explanation:
0.5+1.2+1= 2.7
Write the phrase as an algebraic expression
Answer:
a = p + 3
Step-by-step explanation:
a is whatever team scored 3 more runs than the Pirates, p is the Pirates.
For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7
Answer:
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let [tex]2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7[/tex], if this linear system has infinitely many solutions, then the following conditions must be met:
[tex]-1\cdot h = 2[/tex] and [tex]k = 5[/tex].
[tex]h = -2[/tex] and [tex]k = 5[/tex]
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
Mr Parsad places £1007 into a
savings account and gains 8%
interest per annum. How much
money is in the account after 9
year?
Answer:
$ 1,732.04
Step-by-step explanation:
A = $1,732.04
I = A - P = $725.04
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1007(1 + (0.08 × 9)) = 1732.04
A = $1,732.04
The total amount accrued, principal plus interest, from simple interest on a principal of $1,007.00 at a rate of 8% per year for 9 years is $1,732.04.
150x8-10+25=
Is it 1,205
1,215
1275
Answer:
1215
Step-by-step explanation:
Step 1: 150 x 8 = 1200
Step 2: 1200 - 10 = 1190
Step 3: 1190 + 25 = 1205
Which is the correct formula to find the area of triangle AED? A B D E C area of triangle AED 1 • CDAE 2 area of triangle AED = AE - DE 2 area of triangle AED 1 2 • CE - AE area of triangle AED = AE - AE Reset Next
Answer:
option b.
area of triangleAED=1/2×AE×DE
six less than a number
Answer:
Y E S
Step-by-step explanation:
rickrolled
Each month, a phone company charges $30 talk time plus $0.50 for each additional minute.
Write an expression to show the cost of a plan for one month???
Answer:
Step-by-step explanation: If 1 minutes of talk = 30 and texting = 30
and each additional minute of talk = 0.50
then the bill would be (for C = total cost)
C = 20+30+(0.45 • x)
OR
C = 50 + 0.45x
Answer:
30+.50m=c
Step-by-step explanation:
30 is the initial cost. Since its initial it is only a one time fee.
.50 is the cost per minute, since it says per you can automatically assume that it will be more than once.
M represents the minutes that they spend on the call, so if there was a 10 minute call, instead of m you would put 10, 10×.50.
But since there is no given time we have to put a variable, m, as a replacement.
The c is the variable for the cost.
I hope I helped you! Have a great day! :3
Hi, can anyone help me. Please!
Answer:
its D
Step-by-step explanation:
is -√3 rational or irrational?
Answer:
its irrational because it has the square root sign
Step-by-step explanation:
Use the original price and the markdown to find the retail price. Original price: $145; Markdown: 36% The retail price is $
Answer:
36% in decimal form is .36 .36x145=$52.20 new price
Step-by-step explanation:
You're in 6th grade?
Question: Which point is a reflection of(6.5, 1) across the x-axis and the y-axis?
A. Point u
B. Point V
C. Point W
D. Point X
Answer:
C.............
Step-by-step explanation:
The ratio of cats to dogs at the park was 5:7 if there were 60 total how many were dogs
Answer:
5
Step-by-step explanation: i think its right but you need to add the 5 and 7, and i divided it by the amount total, :)
what’s the area of the triangle
Answer:
12
Step-by-step explanation:
because the base is 4 and the height is 6
Answer:
Step-by-step explanation:
Formula of area of triangle = 1/2(b*h)
1/2(4*6)
1/2*24
12 units square
Can y’all help me with this plz
Triangle with exactly
2 equal sides
Hey there!
ALL triangles has 3 sides. (Top and the two corners)
The only try that has the sides that are equal to each other is, the isosceles triangle ; the isosceles triangle is equal to 180°
Answer: ISOSCELES TRIANGLE ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Here’s an example SIDE A is EQUIVALENT (EQUAL) to SIDE B
please help! (20 points)
Check all that are inequalities.
-3 = y
t > 0
-4.3 < a
g = 5 and one-half
k less-than Negative StartFraction 5 Over 7 EndFraction
x = 1
Answer:
Guys the real answer is B C E
I really hope this helps :)
Answer:
The answer is B, C, E.
Step-by-step explanation:
B: t > 0
C: -4.3 < a
E: k less-than Negative StartFraction 5 Over 7 EndFraction
This dessert has 75 calories for every 2 ounces. How many calories are in 8 ounces?
Answer:
300 Calories
Step-by-step explanation:
75/2=37.5/1 Divide to fine the unit rate Dessert has 37.5 calories In 1 ounce 37.5 calories x 8 ounces = 300 calories
13/19 as a decimal rounded to the nearest hundredth.
Answer:
0.68
Step-by-step explanation:
13/19 = 0.6842
0.6842 rounded to the nearest hundredth is 0.68.
I hope this helps!
Answer:
0.68
Step-by-step explanation:
i think
Help me I'm not good at this ;-;
Answer:
1. TRUE
2.FALSE
3.FALSE
4.FALSE
5.TRUE
Step-by-step explanation:
Look at Jerrys monthly budget below. What percentage of Jerrys net income is spent on transportation?
Net Monthly Income: 2,970.00
Housing: $750.00
Utilities: $120.00
Food: $450.00
Transportation: $650.00
Savings: $300.00
Other Expenses: $500.00
Total Monthly Expenses: 2,970.00
A. 28%
B. 25.3%
C. 86.7%
D. 21.9%
Answer:
D. 21.9%
Step-by-step explanation:
(650÷2970)x100= 21.88% rounded off 21.9%
The temperature was 2 degrees Celsius and fell to -12 degrees Celsius. What was the change in temperature?
Answer:10
Step-by-step explanation:
-12-2
please help if possible show work but if not its fine just help plsssss
Step-by-step explanation:
Number one, 743
× 63
2229
Number four is 2.5/3 (don't trust me too much with this one)
number five, multiply 8.5 by 3 and you'll get 25.5
if EF=13 and DF=18, find EH
Jackson wants to buy a new video game console. He has saved $50 and
earns $20 per lawn that he mows. Which of the following equations can be
used to determine the number of lawns Jackson needs to mow, m, in order to
buy the video game console, which costs, c, dollars?
0
m
1 ={c+50
C = 50m + 20
m =
- c + 50
C = 20m + 50
CLEAR ALL
Answer:
C=20+50
Step-by-step explanation:
logistics