1. Reduce: 21 =
21
Reduce:
28

Answer:

131040

Step-by-step explanation:

10*9*8*7*26

=131040

Final answer:

To calculate the unique student numbers possible, multiply the number of options for each character position: 10 x 9 x 8 x 7 for the digits and multiply by 26 for the final letter, yielding 131,040 unique numbers.

Explanation:

The question asks us to calculate how many unique student numbers are possible with a specific format: the first four characters must be single-digit numbers with no repeat, and the last character must be a letter.

To find the total number of unique student numbers, we multiply the possibilities for each position. For the first position, we have 10 choices (0-9), for the second position 9 choices (excluding the first digit chosen), for the third position 8 choices, and for the fourth position 7 choices. This can be calculated using factorial notation as 10 x 9 x 8 x 7. The last character is a letter and since there are 26 letters in the English alphabet, we have 26 choices for the last character. The total number of combinations is hence 10 x 9 x 8 x 7 x 26, which equals 131,040.

Answer:

60.42

Step-by-step explanation:

tan40 = opposite/adjascent

tan40 =x/72

x=72tan40

x = 72 * 0.8391

x = 60.42

Answer:

those are the dimentions

Step-by-step explanation:

Answer:4.6

Step-by-step explanation:

28/6

Answer:

168/35 points per minute

Step-by-step explanation:

5 5/6=35/6

28/(35/6)=(28/1)(6/35)=168/35

Answer:

[tex]\displaystyle 79°[/tex]

Step-by-step explanation:

The m∠x is 79°, according to the Alternate Exterior Angles Theorem.

I am joyous to assist you anytime.

* That does NOT look like an acute angle because 79° is considered an acute angle, since it is less than 90°.

Answer:

The diameter of the pizza is 12 inches

Step-by-step explanation:

Given:

Circumference of a pizza = 38 inches

To Find:

The Diameter of the pizza =?

Solution:

Circumference:

The distance around the edge of a circle (or any curvy shape). It is a type of perimeter.

We know that the shape of the pizza is circle.

So the given circumference is circumference of a circle.

Now,

Circumference of the circle(pizza)=[tex]2\pi r[/tex]

where r is the radius of the circle

circumference of the pizza =38

Thus

[tex]2\pi r= 38[/tex]

[tex]\pi r=\frac{38}{2}[/tex]

[tex]\pi r=19[/tex]

[tex]r=\frac{19}{3.14}[/tex]

r=6.050 inches

Now,

Diameter = [tex]2\times r[/tex]

Diameter = [tex]2\times 6.05[/tex]

Diameter=12.1 inches

Rounding to the nearest tenth

Diameter=12 inches

Final answer:

To find the diameter of a pizza with a circumference of about 38 inches, we apply the formula C = πD, leading to a calculation of 38 / 3.14, which results in approximately 12.1 inches.

Explanation:

The question is about finding the diameter of a pizza given its circumference, which is approximately 38 inches. To calculate the diameter from the circumference, we use the formula C = πD, where C is the circumference and D is the diameter. Since π (Pi) is approximately 3.14, we rearrange the formula to find the diameter: D = C / π. Thus, substituting the given value of C = 38 inches, we get D = 38 / 3.14, which is approximately 12.1 inches.

Answer: 10

Step-by-step explanation:

Answer:

The answer would be ten.

Step-by-step explanation:

I plugged it into my TI-84 plus calculator.

Answer:yo7 can add or multiply numbers regardless how they are grouped

Step-by-step explanation:

With 2.5 litres of water, it can be estimated that you can make 400 grams of pasta.

The question is asking how many grams of pasta could be made with 2.5 litres (or 2500 ml) of water. According to the initial ratio, 500 ml of water is used to make 80 grams of pasta.

To find out how many grams of pasta can be made with 2.5 liters of water, you first need to find the pasta-to-water ratio which is 80 grams pasta to 500 ml water, or 0.16 grams/ml. You then multiply this ratio by the total amount of water you have:

0.16 grams/ml * 2500 ml = 400 grams of pasta.

https://brainly.com/question/32531170

#SPJ2

Answer:

x=1, y=2. (1, 2).

Step-by-step explanation:

2x+5y=12

4x-y=2

--------------

y=4x-2

2x+5(4x-2)=12

2x+20x-10=12

22x-10=12

22x=12+10

22x=22

x=22/22

x=1

4(1)-y=2

4-y=2

y=4-2=2

y=2

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x+5y=12\\4x-y=2&\text{multiply both sides by 5}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+5y=12\\20x-5y=10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad22x=22\qquad\text{divide both sides by 22}\\.\qquad x=1\\\\\\\text{Put the value of}\ x\ \text{to the second equation:}\\\\4(1)-y=2\\4-y=2\qquad\text{subtract 4 from both sides}\\-y=-2\qquad\text{change the signs}\\y=2[/tex]

Answer:

x = 25.33333333

Step-by-step explanation:

x  =  4

76 12

Cross multiply:

x * 12 = 76 * 4

Simplifying

x * 12 = 76 * 4

Reorder the terms for easier multiplication:

12x = 76 * 4

Multiply 76 * 4

12x = 304

Solving

12x = 304

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '12'.

x = 25.33333333

Simplifying

x = 25.33333333

Answer:

There are 44 yellow slabs.

Step-by-step explanation:

Multiply 1/5 x 55. This gives you 11. 55 - 11 = 44.

The number of yellow slabs in a garden patio is 44.

Given that, a garden patio is covered with grey slabs and yellow slabs 1/5 of the slabs are grey.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of grey to yellow slabs are 1:4.

There are 55 slabs in total.

Number of grey slabs =1/5 ×55

= 11

So, the number of yellow slabs

= 55-11

= 44

Therefore, the number of yellow slabs in a garden patio is 44.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

m = - 1

Step-by-step explanation:

Given

[tex]\frac{15m+3}{2}[/tex] = - 6

Multiply both sides by 2 to clear the fraction

15m + 3 = - 12 ( subtract 3 from both sides )

15m = - 15 ( divide both sides by 15 )

m = - 1

[tex]\text{Solve:}\\\\\frac{15m+3}{2}=-6\\\\\text{Multiply both sides by 2}\\\\15m+3=-12\\\\\text{Subtract 3 from both sides}\\\\15m=-15\\\\\text{Divide both sides by 15}\\\\\boxed{m=-1}[/tex]

Answer:

+18

Step-by-step explanation:

Answer:

1st angle 30°

2nd angle 120°

3rd angle 30°

Step-by-step explanation:

Let's call

A = 1st angle

B = 2nd angle

C = 3rd angle

In every triangle it holds

A + B + C = 180°

Now, if the third angle of the triangle is the same size as the first

A = C

If the second angle is 4 times the third

B = 4C

we have then

C + 4C + C = 180° ===> 6C = 180° ===> C = 30°

If C = 30° then A = 30° and B = 120°

It will take 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

Type A is 6 feet tall and grows at a rate of 12 inches per year

Type B is 2 feet tall and grows at a rate of 24 inches per year

We need to find exactly how many years it will take for these trees to be the same height

Assume that it will take x years for these trees to be the same height

Type A:

∵ The initial height of the tree is 6 feet

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∴ The initial height of the tree is 72 inches

∵ It grows at a rate of 12 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 72 + 12 x

Type B:

∵ The initial height of the tree is 2 feet

∴ 2 feet = 2 × 12 = 24 inches

∴ The initial height of the tree is 24 inches

∵ It grows at a rate of 24 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 24 + 24 x

Equate The heights of the two types

∴ 72 + 12 x = 24 + 24 x

- Subtract 2 from both sides

∴ 48 + 12 x = 24 x

- Subtract 12 x from both sides

∴ 48 = 12 x

- Divide both sides by 12

∴ x = 4

It will take 4 years for these trees to be the same height

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

Answer:

When n=3 and x=−2  the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

[tex]p (n,x) = n + 2x^{2}[/tex]

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

[tex]p (n,x) = n + 2x^{2}[/tex]

Substituting n = 3 and x = -2 we get

[tex]p (3, -2) = 3 + 2(-2)^{2}[/tex]

Negative square gives positive number therefore (-2)²=4

[tex]p (3, -2) = 3 + 2\times 4[/tex]

[tex]p (3, -2) = 3 + 8\\p (3, -2) = 11[/tex]

When n=3 and x=−2  the answer is 11.

Final answer:

When evaluating the expression n+2x^2 with n=3 and x=-2, we substitute the values to get 3 + 2(-2)^2, which simplifies to 3 + 8. The final evaluated expression is 11.

Explanation:

To evaluate the expression n+2x² with given values for n and x, we need to substitute the values into the expression and simplify it.

In this case, n = 3 and x = -2. Substituting these values in, we get:

3 + 2(-2)²

First, we calculate the square of -2:

3 + 2(4)

Now, we multiply 2 by 4:

3 + 8

Finally, we add 3 and 8 together:

11

Therefore, the evaluated expression is 11.

Answer:

The number of adult tickets sold was 300 and that of child's ticket sold is 900.

Step-by-step explanation:

Let us assume that the ticket sales at Wednesday's game are x number adult and y number child's tickets.

Therefore, as per given conditions, we can write, y = 3x .......... (1)

Again, each adult ticket cost $20 and each child's ticket costs $10 and there was a $15000 ticket sale.

So, 20x + 10y = 15000

⇒ 2x + y = 1500 ......... (2)

Now, solving equations (1) and (2) we get,

2x + 3x = 1500

⇒ 5x = 1500

⇒ x = 300 and y = 3x = 900

Therefore, the number of adult tickets sold was 300 and that of child's ticket sold is 900. (Answer)

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

To answer this, add (combine) 1/3 and 2/5.

First we must rewrite these fractions with the same denominator, the LCD.

The LCD here is obtained by multiplying the denominators 3 and 5 together, obtaining 15.

Thus, 1/3 + 2/5 becomes 5/15 + 6/15, which, in turn, is 11/15.

The fraction of the total inventory that is children’s or women’s clothing

is 11/15.

Answer:

(b) The statement :  It is greater for Group B than Group A is correct.

Step-by-step explanation:

Here, the given question is INCOMPLETE.

Two groups of students were asked how far they lived from their school. The table below shows the distances in miles

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2

Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

Which statement best compares the mean distances for the two groups?

It is equal for Group A and Group B.

It is greater for Group B than Group A.

Its value for Group A is double the value for Group B.

Its value for Group B is double the value for Group A.

Answer:

Now,here the  calculating the mean as calculated by the group A.

[tex]\textrm{Mean}  = \frac{\textrm{Sum of Obseravtion}}{\textrm{ Number of Observation}}[/tex]

Mean as calculated by Group A  = [tex]\frac{\textrm{1 +  1.5 +3 +3.2+ 2.8+ 1.5 +1.8+ 2.5 +2.2}}{\textrm{ Number of Observation}} = \frac{19.5}{9}  =2.16[/tex]

So, mean by Group A  = 2.16

Now, calculating the mean as calculated by the group B.

[tex]\textrm{Mean}  = \frac{\textrm{Sum of Obseravtion}}{\textrm{ Number of Observation}}[/tex]

Mean as calculated by Group B  = [tex]\frac{\textrm{2 + 2.5 +3.23 +1.3 + 1.8+ 2.4 +3 +1.5 +1.8}}{\textrm{ Number of Observation}} = \frac{14.93}{9}  =2.48[/tex]

So, mean by Group B  = 2.17

Hence, the statement :  It is greater for Group B than Group A is correct.

Answer:

The correct answer is B. It is greater for Group B than Group A.

Step-by-step explanation:

The values are not equal and the difference just isn't enough for it to be any of the other answers making B the right option.

Hope this helps you! ʕ·ᴥ·ʔ

~ #LearnWithBrainly ~

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = [tex]\frac{5}{x}[/tex] is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

y = [tex]\frac{5}{x}[/tex] is in this form and represents inverse variation

Answer:

The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1

Step-by-step explanation:

we have the function

[tex]f(x)=4x^3-12x^2-x+15[/tex]

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

using a graphing tool

The function has three x-intercepts

The x-intercepts are the points

(-1,0),(1.5,0) and (2,5,0)

see the attached figure

The x-intercept that is located to the left of the origin is the point (-1,0)

therefore

The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1

Answer:

The x-coordinate of the x-intercept is -1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

10% of £54=£5.4 (price reduced by 10%)

Normal price should be £5.4 +£54= £59.4

Hey! How are you? My name is Maria, 19 years old. Yesterday broke up with a guy, looking for casual sex.

Write me here and I will give you my phone number - *pofsex.com*

My nickname - Lovely

Answer:

2.5

Step-by-step explanation:

56(t+1/2)=70 t

56T + 28= 70T

28=70T-56T

28=14

2=T

s=T+ 1/2

S=2+ 1/2

S=2.5 hours

Tina traveled for 2 hours at a speed of 70 miles per hour, covering a distance of 140 miles.

Stephanie traveled for 2.5 hours at a speed of 56 miles per hour, also covering a distance of 140 miles.

The distance traveled by a vehicle is given by the formula: distance = speed × time.

For Stephanie:

Distance_stephanie = Speed_stephanie × Time_stephanie

Distance_stephanie = 56 × (t + 0.5)

For Tina:

Distance_tina = Speed_tina × Time_tina

Distance_tina = 70 × t

Since both Stephanie and Tina are traveling the same route, the distances they travel should be equal:

Distance_stephanie = Distance_tina

Substitute the expressions for distances:

56 × (t + 0.5) = 70 × t

Now solve for "t":

56t + 28 = 70t

28 = 14t

t = 28 / 14

t = 2

So, Tina traveled for 2 hours.

Now we can find the distance traveled by both Stephanie and Tina:

Distance_tina = 70 × t

Distance_tina = 70 × 2

Distance_tina = 140 miles

Distance_stephanie = 56 × (t + 0.5)

Distance_stephanie = 56 × (2 + 0.5)

Distance_stephanie = 56 × 2.5

Distance_stephanie = 140 miles

Both Stephanie and Tina traveled a distance of 140 miles.

Learn more about expression

https://brainly.com/question/723406

#SPJ3

Answer:

jo mamma

Step-by-step explanation:

Answer:

x=1, y=1. (1, 1). The answer is D).

Step-by-step explanation:

3x-5y=-2

4x-7y=-3

--------------

4(3x-5y)=4(-2)

-3(4x-7y)=-3(-3)

------------------------

12x-20y=-8

-12x+21y=9

--------------------

y=1

3x-5(1)=-2

3x-5=-2

3x=-2+5

3x=3

x=3/3

x=1

13 Degrees Celsius, or 55.4 degrees Fahrenheit.

-2 + 15 = 13. To find your answer in Fahrenheit, just do (Celsius here) x 9/5 + 32.

The new temperature value if an initial temperature value of - 2°C rises by 15°C will be 13°C

Using the addition operation :

Final temperature = Initial temperature + Final temperature

Final temperature = (-2°C + 15°C) = 13°C

Therefore, the final temperature is 13°C

Learn more : https://brainly.com/question/13816092

Answer:

20.1%.

Step-by-step explanation:

(735 - 612 = 123 ft.

% error = (123/612) * 100

= 20.1%.

Answer:

Step-by-step explanation:

note :  P(AUB) = p(A)+p(B) - p(A∩B)

P(AUB) = 8/15+6/15- 1/5 = 8/15+6/15-3/15 = 11/15 answer : B

Probability helps us to know the chances of an event occurring. The correct option is B.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that P(A) = 8/15, P(B) = 6/15, and P(A n B) = 1/5. Therefore, the value of P(AUB) will be,

P(AUB) = P(A) + P(B) + P(A n B)

             = 8/15 + 6/15 - 1/5

             = 11/15

Hence, the correct option is B.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2