An oil company is going to issue new ID codes to its employees. Each code will have one letter, followed by one digit, followed by three letters. The letters w, x, y, and z will not be used. So, there are 22 letters and 10 digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?

3/2

Step One: 1 3/8, transform the number into a improper fraction:

Answer:

ring volume is 12cm3

Step-by-step explanation:

Lr ccm=volume of water and ring - Volume of water

ring cubic centimeters =x

x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm

x=289.2cm3 - 277.2cm3

x=12cm3

Answer:

y = 10.6

Step-by-step explanation:

We can solve using cross products

y       13

---- = ----

9      11

y*11 = 9*13

11y =117

Divide each side by 11

11y/11 =117/11

y=10.63636

To the nearest tenth

y = 10.6

The value of y using the proportion relation y/9 = 13/11 is 117/11.

Given Relation:

y/9 = 13/11

As, the proportion is the condition where two ratios are equivalent.

Now, solving the equation y/9 = 13/11 for y

First, cross multiply the equation

11y = 117

Now, divide both side by 11 gives

11y /11 = 117/ 11

y= 117 /11

As, there no common factor of 117 and 11.

Thus, the simplified value is 117.11

Learn more about Proportion here:

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Answer:

p(x,y)= (4,-3)

Step-by-step explanation:

all explainations are in the picture below.

Answer:

hope it helps

Step-by-step explanation:

Answer:

gold price : $58.72/gram

$58,720 per kilo(1000) grams

Step-by-step explanation:

Step-by-step explanation:

Answer is 115°

Answer is Definition of parallelogram

Answer is 114°

Answer:

x = -1

Step-by-step explanation:

1/3(6x-3)+2(x-1) = -7

Distribute

2x-1 +2x-2 = -7

Combine like terms

4x -3 = -7

Add 3 to each side

4x-3+3 = -7+3

4x = -4

Divide by 4

4x/4 = -4/4

x = -1

[tex] \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}[/tex]

[tex]\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}[/tex]

[tex]\twoheadrightarrow \frak{4x - 3 = - 7}[/tex]

[tex] \twoheadrightarrow \frak{4x = - 7 + 3}[/tex]

[tex]\twoheadrightarrow \frak{4x = - 4}[/tex]

[tex]\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}[/tex]

Answer:

16 dollars = 4 pizzas

4 dollars = 1 pizza

Each pizza costs 4 dollars.

Let me know if this helps!

Answer: $4

Step-by-step explanation:

16 divided by 4, equals 4.

Answer:

3m = -3

Step-by-step explanation:

2m−6=8m

Subtract 2m from each side

2m−6-2m=8m-2m

-6 = 6m

Divide by 6

-6/6 = 6m/6

-1 = m

3m = 3(-1) = -3

2m - 6 = 8m

2m - 8m = 6

-6m = 6

m = -6/6

m = -1

Answer:

Step-by-step explanation:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Answer:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) First division has to be done.

2) After that multiplication has to be done.

30 ÷ 3 * 2 = 10 * 2

                 = 20

Answer:

20

Step-by-step explanation:

30 ÷ 3 × 2

(Since it’s division and multi platoon, we just go left to right)

10 × 2

20

Answer:

x=30.5

Step-by-step explanation:

Using midsegment 's theorea:

[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]

Answer:

$247

Step-by-step explanation:

$95 = 5 h

1 h = 95 ÷ 5 = $19/h

$19 × 13h = $247

she would make $247 after 13 hours of work.

Answer:

3/23 = .13 = 13%

Step-by-step explanation:

Answer:

I think the answer is

x-16

since 16 is subtracted from x.

I hope this helps

Answer:

a. False b. True c. True d. False e. False

Step-by-step explanation:

9514 1404 393

Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

  xx = 24 . . . . . . . . . divide by 1.75

The number of miles in Nicole's taxi ride was 24.

Step-by-step explanation:

|- 9| + |- 3|

9 + 3

12

I hope this answers your question

Answer D

Step-by-step explanation:

looks right

Answer:

1≤x≤5

Step-by-step explanation:

The domain is the values for the inputs

The domain goes from 1 to 5

1≤x≤5

Answer:

16%

Step-by-step explanation:

To find the percent, take the cost of the books over the total

336/2100

.16

Multiply by 100 to change to percent

16%

Answer:

x=52 Here is y

Step-by-step explanation:

If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is

dL/dt = ⟨1, 5⟩

Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).

Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy

T(t) • ⟨1, 5⟩ = 0

• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is

T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩

• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because

T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩

• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because

T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩

for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and

⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0

• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because

T(t) = ⟨15, -3⟩

and

⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0

Answer:

D 1

Step-by-step explanation:

i^12

We know i^4 = 1

Rewriting

i^4^3

1^3

1

Answer:

part 1- D. 1

part 2- Square root of -144 =12i

Step-by-step explanation:

Got them correct

(A) The blue line has a slope of 5/2, red has slope 4/4 = 1, and purple has slope 3/9 = 1/3.

To find the slope, take any two points (a, b) and (c, d) on the line, then

slope = (d - b)/(c - a)

i.e. the ratio between the changes in the y and x coordinates.

(B) Each line has equation

• blue: y = 5/2 x

• red: y = x

• purple: y = 1/3 x

This follows from the general equation for a line with slope m and y-intercept b,

y = mx + b

or from the more general equation for a line with slope m passing through a point (a, b),

y - b = m (x - a)

(C) Consider the blue line. If you take units into account, its slope is

(5 units of distance)/(2 units of time) = 5/2 (units of distance/time)

which means, per unit time, some object travels a 5/2 units of distance, and this is the definition of speed.

(D) The competitor with the blue line, Mary, would win the race because their speed is the highest (5/2 > 1 > 1/3).

(E) Average velocity is defined as

v (ave) = ∆d/∆t = (change in distance)/(change in time)

At time 0, no one has moved yet. At time 4,

• Mary has covered a distance of 5/2 × 4 = 10, giving her an average velocity of (10 - 0)/(4 - 0) = 5/2

• Mike has covered a distance of 4, so his average velocity is (4 - 0)/(4 - 0) = 1

• Sam has covered a distance of 1/3 × 4 = 4/3, so his average velocity is (4/3 - 0)/(4 - 0) = 1/3

It's not a coincidence that the average velocities are the same as the slopes, because each racer travels at a constant speed.

(F) The racers' instantaneous velocities are the same as their respective average velocities, again because they are each moving at a constant speed.

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

Answer:

To find the HCF we multiply the numbers in the overlapping quadrant together:

Step-by-step explanation: