Answer:
47,174,400 possible number plates
See important note at the bottom of the explanation
Step-by-step explanation:
The easiest way to handle a problem of this type is to note the following
There are 9 digits 1-9 that we can use for the first four characters of the license plate
This means that for the first digit there are all 9 possibilitiesFor the second digit, since there is no repetition, there exists only 8 possibilitiesFor the third spot, there are 7 possibilitiesFor the 4th spot there are 6 possibilitiesSo the number of ways to arrange the first 4 digits without repetition is
9 x 8 x 7 x 6 = 3024 possible ways
For the letters, assuming that we are using the English alphabet, the 5th spot where the first letter after the numbers is can be done in 26 possible ways since there are 26 alphabets.
For the second letter that will leave us with 25 possibilities
For the third and final spot there are 24 possibilities
This means that, without repetition, the letters can be arranged in 26 x 25 x 24 ways = 15,600 ways
Together we can arrange the digits and letters in 3024 x 15600 ways which works out to
3024 x 15600 = 47,174,400 ways or possible number plates
Or we could simply write this in one step as
9 x 8 x 7 x 6 x 26 x 25 x 24 = 47,174,400 ways or possible number plates
Note
Even though there are 10 digits 0 - 9, the question clearly states that we should choose from digits 1 through 9 only.
If we are allowed to use all 10 digits the first 4 digits can be put together in 10 x 9 x 8 x 7 = 78,624,000 ways
You should clarify this with your teacher.
Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?
Answer:
compró 4 cajas q contenían 3 vasos
y 9 cajas q contenían 5 vasos
EJEMPLO: 4x3=12 + 9x5=45
12+45=57
esa es la respuesta y te puse el ejemplo para q le entiendas más
3=g/-4-5 g=??
i need help asappp
Answer:
g = -32
Step-by-step explanation:
Answer:
g= -32
Step-by-step explanation:
3=g/-4(-5)
add five
8=g/-4
multiply by -4
-32=g
Find the approximate sum of the series shown below.
Answer:
[tex]The~expression=7(\frac{5}{3})^{(1-1)}+ 7(\frac{5}{3})^{(2-1)}+7(\frac{5}{3})^{(3-1)}+7(\frac{5}{3})^{(4-1)}+7(\frac{5}{3})^{(5-1)}\\~~~~~~~~~~~~~~~~~~~~~~=7(\frac{5}{3})^0+7(\frac{5}{3})^1+7(\frac{5}{3})^2+7(\frac{5}{3})^3+7(\frac{5}{3})^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+\frac{35}{3}+7(\frac{25}{9})+7(\frac{125}{27}) +7(\frac{625}{81})\\~~~~~~~~~~~~~~~~~~~~~~=7+\frac{35}{3}+\frac{175}{9}+\frac{875}{27} +\frac{4375}{81} \\[/tex]
[tex]=\frac{7(81)}{81}+\frac{35(27)}{3(27)} +\frac{175(9)}{9(9)} +\frac{875(3)}{27(3)}+\frac{4375}{81}\\=\frac{7(81)+35(27)+175(9)+875(3)+4375}{81}\\=\frac{10087}{81}\\=124.53086~(approximate)[/tex]
12 cm
8 cm
5 cm
5 cm
17 cm
26. The area of the composite figure above is_cm-square.
1 point
Your answer
find the time it would take to triple an initial deposit of $2,000 at an interest rate of 8%, compounded semi-annually
(rounded to the nearest whole year)
Can someone please help me! Right answer gets brainliest!!
Answer:
Step-by-step explanation:
Equation: x+6=13
Solution x=7
I hope this helps!
Do well!
21.6/12x = 34.2 does anyone know how to do this?
Answer:
x = 32.6
Step-by-step explanation:
Please share the instructions: "Find the value of x ... " Also, indicate whether x is in the numerator or denominator.
If in the numerator, then we have (12.6/12)x = 34.2.
Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6
Find the slope of the line through the given points (3,2),(3,1)
This is because the x coordinates of each point are the same (both are 3). These two points form a vertical line, and any vertical line has an undefined slope.
We could use the slope formula to see that...
m = (y2-y1)/(x2-x1)
m = (1-2)/(3-3)
m = -1/0
m = undefined
We cannot divide by zero, so that's why the slope is undefined.
plz help me
which graph best represents a function with a domain of all real numbers less than 5?
It's graph(B).
Imma 100% sure 'bout this. Mark it!
The domain of a graph is the list of possible x values of the graph
Graph B has the domain of all real numbers less than 5
From the list of options, we have the following observations.
For graphs A and C,
The curves extend across the x-axis.
So, the domain is: [tex](-\infty,\infty)[/tex]
For graph D,
The curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,0)[/tex]
For graph B, the curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,5)[/tex]
The domain [tex](-\infty,5)[/tex] means that:
All real numbers less than 5
Hence, the domain is illustrated on graph B
Read more about domains at:
https://brainly.com/question/16875632
A parabola opening up or down has vertex (0,-1) and passes through (4,-2). Write its equation in vertex form
Answer:
ok
Step-by-step explanation:
Which is the best estimate for the percent equivalent to 3/8? 26% 27% 37% 38%
Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
X
у
1
7
N
13
3
23
4
37
5
55
iction?
The table above represents what type of function?
HELP HELP I NEED HELP ASAP
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?
Pls help ASAP!! 15 points?
Answer:
4 gte g
Step-by-step explanation:
Answer:
g < 4
Step-by-step explanation:
−12<−3g
Step 1: Flip the equation.
−3g>−12
Step 2: Divide both sides by -3.
−3g
−3
>
−12
−3
g < 4
what are the values of AB and DE in parallelogram ABCD?
Answer:
AB equals 13 and DE equals 7.
Step-by-step explanation:
In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.
The solution is
The value of AB of the parallelogram is 13
The value of DE of the parallelogram is 7
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
The value of side CD = 13
The value of side BC = 23
The value of side AE = 16
AD = AE + ED
And , Opposite sides are parallel in a parallelogram
Now , the value of side AB = CD
So , the value of side AB = 13
And , The value of side BC = AD
So , the value of AD = 23
AD = AE + ED
Substituting the values in the equation , we get
23 = 16 + DE
Subtracting 16 on both sides of the equation , we get
DE = 23 - 16
The value of side DE = 7
Hence , the value of side AB = 13 and value of side DE = 7
To learn more about parallelogram click :
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Find FG
FGH= 49
GH=31
Answer:
18Step-by-step explanation:
From the given diagram;
FGH = 49
GH = 31
Using the expression to get FG;
FG + GH = FGH
FG + 31 = 49
FG = 49-31
FG = 18
Hence the measure of FG is 18
An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.
Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3
Given:
The expression is
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
Using distributive property, we get
[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]
[tex]=-6y+9+3y-6[/tex]
On combining like terms, we get
[tex]=(-6y+3y)+(9-6)[/tex]
[tex]=-3y+3[/tex]
Therefore, the correct option is B.
YOU HAVE 8 LITTERS OF JUICE FOR YOUR PARTY. EACH GLASS HOLDS 1/5 LITTER OF JUICE.
HOW MANY GLASSES CAN YOU FILL WITH THE JUICE?
SOLVE AND EXPLAIN
Answer:
40
Step-by-step explanation:
1/5 as a decimal is 0.2
8/0.2 = 40
Hope this helps!!
Answer:
A
Step-by-step explanation:
help please !!! it's 6th grade math
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
[tex]32 \frac{1}{2} \times \sqrt[8]{16} \div (0.008) \frac{1}{3} [/tex]
i need help! plz. i’m not to good at ratios and don’t mind the one i clicked i just clicked on a random one
What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid
Answer/Step-by-step explanation:
To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.
The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
Answer:
can we see the model
Step-by-step explanation:
5. Ronnie needs to earn more than $460 every month so he can save enough to go on vacation at the end
of the year. He is paid $9.50 per hour and a monthly bonus of $60. Write an inequality that represents
this situation, where h represents the number of hours that Ronnie needs to work in a month to earn
more than $460 and meet his goal.
What would be the minimum number of hours, rounded to the nearest whole, that Ronnie would have
to work?
A. 40 hours
B. 41 hours
C. 42 hours
D. 43 hours
Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay
Answer:
q122a
Step-by-step explanation:
Which expression below has the same value as 9⁶ ?
9 • 6
96
9 • 9 • 9 • 9 • 9 • 9
6 • 6 • 6 • 6 • 6 • 6 • 6 • 6 • 6
Answer:
9 • 9 • 9 • 9 • 9 • 9
Step-by-step explanation:
Given data
Value= 9⁶
The equivalent to the above expression is the dot product of
9*9*9*9*9*9
Hence the correct option is the third option
Answer:
9 to the sixth power is just 9 multipled by itself over and over again... 9*9*9*9*9*9
Step-by-step explanation:
i need to know the volume and an explanation plz?!??
Answer:
V ≈ 471.2 in³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius of the base and h is the height )
Here diameter = 10, so r = 10 ÷ 2 = 5 and h = 6, then
V = π × 5² × 6 = π × 25 × 6 = 150π in³ ← exact value
V ≈ 471.2 in³ ( to 1 dec. place )
I need help plz, thank you!!!