The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?

Answer:

[tex]4\frac{23}{33}[/tex]

Step-by-step explanation:

[tex]5 \frac{2}{12}[/tex]    ×    [tex]\frac{10}{11}[/tex]

[tex]\frac{62}{12}[/tex]    ×   [tex]\frac{10}{11}[/tex]

[tex]\frac{62*10}{12*11}[/tex]

[tex]\frac{620}{132}[/tex]

Divide both sides by 4

[tex]\frac{155}{33}[/tex]

Now let us write it as a mixed number

[tex]4\frac{23}{33}[/tex]

Hope this helps you :-)

Answer:

[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]

Coverting 5-1/2 into improper fraction :

[tex] \dashrightarrow{\dfrac{(5 \times 12) + (2)}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{(60) + (2)}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{60 + 2}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{62}{12} \times \dfrac{10}{11}}[/tex]

Performing multiplication :

[tex] \dashrightarrow{\dfrac{62 \times 10}{12 \times 11}}[/tex]

[tex] \dashrightarrow{\dfrac{620}{132}}[/tex]

Cutting the fraction into simplest form :

[tex] \dashrightarrow{ \cancel{\dfrac{620}{132}}}[/tex]

[tex] \dashrightarrow{ \dfrac{155}{33}}[/tex]

Coverting the improper fraction into mixed fraction :

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{4 \dfrac{22}{33}}}}}}}[/tex]

Hence, the answer is [tex]\bf{4 \dfrac{22}{33}}[/tex].

Answer:

 (x, y) = (-1.8, -1.4)

Step-by-step explanation:

28=9x-8

36=9x

x=4

:) hope it helps!

[tex] \: \: \: [/tex]

[tex] \pink{ 5.37}[/tex]

Answer:

Charyn's coffee is the dearest.

Difference per pound is $0.96.

Step-by-step explanation:

Price per pound = total price / pounds bought

For Danielle this

is  35 / 6 1/3

= 35 / 19/3

= 35 * 3 / 19

= $5.526.

For Charyn  this

is  60 / 9 1/4

= 60 / 37/4

= 60 * 4 / 37

= $6.486.

Difference = $0.96.

Answer:

Step-by-step explanation:

12 inches per foot

The floor is 9(12) = 108 inches by

12(12) = 144 inches

The floor area is 108(144) = 15552 sq. In.

Each tile is 4(6) = 24 sq. in.

Need 15552/24 = 648 tiles

Answer:

where is the bar chart can u post an image to help

Answer:

x = 4,-9

Step-by-step explanation:

This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.

First, separate two equations. Let r be the roots of equation, therefore:

[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]

I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.

[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]

Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.

The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.

___________________

Let me know in the comment if you have any questions.

Answer:

Yes

Step-by-step explanation:

the triangle is a scalene triangle (has no equal parts

Answer:

True

Step-by-step explanation:

If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.

[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]

Answer:

y = - 2.5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

10x + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

y = [tex]\frac{-10}{4}[/tex] x + 4 , that is

y = - 2.5x + 4 ← in slope- intercept form

Answer:

7,200

Step-by-step explanation:

I hope this helps!

Answer:

15 in the correct answer

Answer:

.

Step-by-step explanation:

I used the division, 36/9, which has the same end result. It is a similar equation, because of the numbers.

Answer:

4

Step-by-step explanation:

[tex]\frac{0.36}{0.09}[/tex]

Expand  [tex]\frac{0.36}{0.09}[/tex]  by multiplying both numerator and the denominator by 100.  

= [tex]\frac{36}{9}[/tex]

Divide 36 by 9 to get 4.

[tex]4[/tex]

I hope this helps :)

Answer:

f(x) - 3 : the ones that move the graph down

f(x -3)  : the ones that move the graph to the RIGHT

Step-by-step explanation:

graph transformations:

f (x-3):

if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.

f (x) -3:

if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.

hope i could help:)

Answer:

8cups

Step-by-step explanation:

if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups

Answer:

4.5 × 10^46

Step-by-step explanation:

(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46

Using the Central Limit Theorem, it is found that the correct option is:

The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475

Answer:

its b

Step-by-step explanation:

on usatp

Answer:

Three choice

Step-by-step explanation:

I think.

Answer: The solution is k = -171.92.

Answer:

k = - 171.92

Step-by-step explanation:

[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )

[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )

k = - 171.92

Based on the cost of the shirt and the rebate applied, the customer would pay  Rs. 233.75

A rebate is a discount on the price of a good so the shirt will be discounted by 15%.

= 275 x 15%

= Rs. 41.25

The price the customer will pay is therefore:

= Cost of shirt - Discount

= 275 - 41.25

= Rs. 233.75

In conclusion, the customer will pay Rs. 233.75

Find out more on discounts at https://brainly.com/question/889098.

Answer:

See answers below

Step-by-step explanation:

2x - 7 = x + 1      sides are equal

x - 7 = 1

x = 8

Find the length of each side

AD = 2x -7                BC = x + 1            AB = 2x - 2                DC = x - 1

AD = 2(8) - 7             BC = 8 + 1            AB = 2(8) - 2             DC = 8 - 1

AD = 16 - 7                BC = 9                 AB = 16 - 2                DC = 7

AD = 9                                                   AB = 14

Answer:

20+24= 2(10+12) = 4(5+6)

Those are two ways to factor 20+24.

x + y = -9

x + 2y = -25

Rewrite the first equation as x = -9-y

Relace x in the second equation:

-9-y + 2y = -25

Simplify:

-9 +y = -25

Add 9 to both sides:

y = -16

Now you know y,, replace y in the first equation and solve for x:

x -16 = -9

Add 16 to both sides:

x = 7

Answer: x = 7

Answer:

I don't understand the question. Write it again & briefly.

[tex] \color{magenta} \huge{answer}{} [/tex]

on comparing with ax+by+c=0

We can find out that

[tex] \green{ \huge{a= -2}{} }[/tex]

[tex] \pink{ \huge{b = 3}{} }[/tex]

[tex] \color{magenta} \huge{c = 6}{} [/tex]

The expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

The given equation is:

-2x + 3y = 6

Comparing the equation above with ax + by + c = 0

Rewrite -2x + 3y = 6 in the form ax + by + c = 0

-2x + 3y - 6 = 0

If -2x + 3y - 6 = 0 is compared with ax + by + c = 0

a = -2, b = 3, c = -6

Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Learn more on linear equations here: https://brainly.com/question/14323743

The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.

The correct responses are;

Reasons:

The price of the TV, P = $700

The interest rate is r = 18%

The monthly payment, M = $50

Monthly payment formula is given as follows;

[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

The time it will take to pay using the credit card is therefore;

[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]

Which gives;

50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ

Solving for n gives;

[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]

It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.

1. The final price of the TV = $50 × 15.832 ≈ $791.6

2. The number of hours of work, t, is given as follows;

[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]

Anthony has to work for 70 hours to save enough money to purchase the TV.

3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card

The interest amount on the card = $791.6 - $700 = $91.6

[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]

Anthony has to work for extra 9.16 hours bussing tables using his credit card.

Learn more about payment on loan here:

https://brainly.com/question/13522402

The length of line BE on the given line segment is 3.5 m.

The given parameters:

The sketch of the given line segments is presented in the diagram uploaded.

The length of BE is determined by applying similar triangle theorem as follows;

[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]

Thus, the length of line BE on the given line segment is 3.5 m.

Learn more about similar triangle here: https://brainly.com/question/11899908

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2