Using the permutations formula, it is found that: 11,232,000 different license plates are possible
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The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
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Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
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In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
Let p(n) be the number of primes less than n. What is p(50)
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
EASY POINTS Y'ALL!!!!
Answer:
subtracting 18 from both sides isolate the variable term
What is the constant of proportionality
Answer:
It is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
(4x+9)/(7/3)= 3x/0.5
Answer:
x=0.9
Step-by-step explanation:
4x+9
7
3
=
3x
0.5
Step 1: Cross-multiply.
4x+9
7
3
=
3x
0.5
(4x+9)*(0.5)=3x*(
7
3
)
2x+4.5=7x
Step 2: Subtract 7x from both sides.
2x+4.5−7x=7x−7x
−5x+4.5=0
Step 3: Subtract 4.5 from both sides.
−5x+4.5−4.5=0−4.5
−5x=−4.5
Step 4: Divide both sides by -5.
−5x
−5
=
−4.5
−5
x=0.9
Answer:
x=0.9
One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. How
would such a decrease effect the benefits on a salary of $54,000?
a. Benefit would decrease by $1,404 annually.
b. Benefit would decrease by $7,020 annually.
Ć. Benefit would decrease by $8,640 annually.
d. Benefit would decrease by $15,660 annually.
Answer:
the answer is B
Answer:
The correct answer is B) Benefit would decrease by $7,020 annually.
In the figure above, lines l and m are parallel and lines s and t are parallel if the measure of <1 is 35, what is the measure of 2
Answer: 145
Step-by-step explanation:
145 degrees
The measure of angle ∠2 in the triangle is 145.
Option D is the correct answer.
We have,
From the figure,
The s and t lines are parallel.
The l and m lines are parallel.
Now,
∠1 and ∠a are corresponding angles.
∠b and ∠a are corresponding angles.
This means,
∠1 = ∠a = ∠b = 35
Now,
∠2 and ∠b add up to a straight angle.
This means,
∠2 + ∠b = 180
∠2 + 35 = 180
∠2 = 180 - 35
∠2 = 145
Thus,
The measure of angle ∠2 is 145.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
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Please help me I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 2 passing through the point (-4, -3).
Select one:
a. 2x - y + 5 = 0
b. -x + 2y + 2 = 0
c. x - 2y - 2 = 0
d. -2x + y - 5 = 0
Step 1: We need to determine b by using slope-intercept form, the given slope, and the given line.
[tex]-3 = 2(-4) + b\\\\-3 = -8 + b\\\\5 = b[/tex]
Step 2: Now we create the slope-intercept form for the line.
[tex]y = 2x + 5[/tex]
Step 3: We can now change the above equation to standard form.
[tex]y = 2x + 5\\\\-2x + y = 5\\\\-2x + y - 5 = 0[/tex]
The equation of the line in STANDARD FORM is: D. -2x + y - 5 = 0.
How do i write an equation in slope intercept form if they give you the slope and what it has to pass through. I totally forgot how to do this
Answer:
y=mx+b
Step-by-step explanation:
The m=slope. The x is just there, and the b=the line it passes through
BRAINLIEST PLS
whats 2+2 very hard I know
Answer:
4
Step-by-step explanation:
Answer:
2+2= 4
is very hard I know
THANKS
134−56·0+16÷1=
help fast please!!!!
What is the surface area of the rectangular pyramid below?
Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5
Answer:
2x + y = 5Step-by-step explanation:
Standard form is:
ax + by = cGiven
y = -2x + 5Converting to standard form
y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5Correct option is the first one
A band expects to put 15 songs on their next CD. The band writes and records 60% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answer: 6
Step-by-step explanation:
From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records 60% more songs than they expect to put on the CD. Therefore, the total songs will be:
= 15 + (60% × 15)
= 15 + (0.6 × 15)
= 15 + 9
= 24 songs.
During the editing process, 75% of the songs are removed. The total number of songs that will be there on the final CD will be:
= 24 - (75% × 24)
= 24 - (0.75 × 24)
= 24 - 18
= 6
6 songs will be there on the final CD.
Answer:
21
Step-by-step explanation:
You fottt
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 35% off clearance items. What percent of the original price do you end up paying?
Answer:
35.75%
Step-by-step explanation:
Given that:
Markdown % = 45%
Additional percentage off = 35%
45% markdown :
100% - 45% = 55% of item price will be paid.
Furthermore,
35% additional discount :
100% - 35% = 65% of item price will be paid
Hence, percentage of original price paid:
(55% * 65%) = 0.3575
= 35.75% of the original price is paid
HELP PLEASE ILL GIVE U 26 POINTS
Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?
1. (-3,2) and (-1,2)
2.(-3.-2) and (-1,-2)
3. (1,-2) and (3,-2)
4. (2,3) and (2,1)
5. none of the above
Answer:
1. (-3,2) and (-1,2)
Step-by-step explanation:
Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is
So the coordinates become:
A(-3, -2) → A'(-3, 2)B(-1, -2) → B'(-1, 2)Correct option is the first one
Find the area of the parallelogram.
Answer: 12
Step-by-step explanation:
What type of integer would revenue be?
Answer: negative
Step-by-step explanation:
Find the area of the triangle.
Ach day of the week, Michael went to the bank and either deposited or withdrew money from his bank account. On Monday, he withdrew $10. On Tuesday, he deposited $3. On Wednesday, he deposited $4. On Thursday, he withdrew $15. On Friday, he withdrew $8.
Answer:
Total withdrawals=$33Total deposits= $7Step-by-step explanation:
We are expected to determine the cash flow in the account
Step one:
given data
Total withdrawals
Monday=$10
Thursday=$15
Friday=$8
Total= 10+15+8=$33
Step two:
Total deposits
Tuesday=$3
Wendesday=$4
Total= 3+4
Total= $7
In all, this show that more money is leaving the account than entering the account
what does x equal in x= x^2-12x+36
Answer:
x=4, x=9
Step-by-step explanation:
If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.
The diameter of a circle is 2 units What is the radius of the circle
Answer:
The radius of the circle is 1.
Step-by-step explanation:
The way to find the radius of a circle is to divide the diameter by 2.
Answer:
1
Step-by-step explanation:
what is 6.85 times 2 times 10?
Answer:
137
Step-by-step explanation:
:)
simplify the expression -9x-8+4x+7
Answer: 5x - (-1)
Step-by-step explanation:
Answer:
-5x-1
Step-by-step explanation:
First combine like terms
-9x-8+4x+7 combine -9 and 4
-5x-8+7 then combine -8 and 7
-5x-1
Write the following number in
scientific notation.
0.05796
[? ] [ ]
Answer:
= 5.796 × 10^-2
(scientific notation)
= 5.796e-2
(scientific e notation)
Step-by-step explanation:
Answer:5.796 x 10- 2
Step-by-step explanation:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Find the area of each figure. If necessary, use 3.14 for pi. and round to the
nearest hundredth 6ft 5ft 3ft 4ft
Answer:
a is 6 sq ft, b is 15 sq ft
Step-by-step explanation:
I'm going to call the bottom triangle (the one with 3, and 4 as its side lenght), and the top one, b.
So a is 3 times 4/2=12/2=6 sq ft.
b is 6 times 5/2=30/2=15
Answer:
21 ft²
Step-by-step explanation:
A = [tex]A_{1}[/tex] + [tex]A_{2}[/tex]
[tex]A_{1}[/tex] = (5 × 6) ÷ 2 = 15 ft²
[tex]A_{2}[/tex] = (4 × 3) ÷ 2 = 6 ft²
A = 15 + 6 = 21 ft²
It takes John 54 minutes to paint a fence with a length of 12 meters. On average, how long did he take to paint 1 meter of the fence? *
25 points
3.5 minutes
4.5 minutes
4.8 minutes
5.4 minutes
Other:
Answer:
4.5
Step-by-step explanation:
I think it will work if you Divide 54 over 12 = 4.5
A store sells rope by the meter. The equation p = .8 L represents the price: p (in dollars) of a piece of nylon rope that is L meters long.
How long is a piece of nylon rope that is $2.80?
Answer:
3.5 meters
Step-by-step explanation:
Equation: p = 0.8L
Given: p = 2.80
To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:
p = 0.8L
2.8 = 0.8L
Divide both sides by .8 to isolate L:
[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]
3.5 = L
The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.
solve each question -5x + 40= 6x - 70
Answer:
10=x
Step-by-step explanation:
-5x+40= 6x-70
-5x+110=6x
110=11x
10=x
Answer:
this is da answer
10=x for yoquestion
Find the value of k so that the remainder is -5 for (3x+kx^2-7x+10) / (x+3).
5
10
3
-8
60
Answer:5
Step-by-step explanation:
is this right please tell me the right answer if not
Answer:yes
Step-by-step explanation: