3 1⁄2 kilometers = hectometers

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.

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

Step-by-step explanation:

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:

(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.

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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:

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)

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.

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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: 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:

+18

Step-by-step explanation:

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.

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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:

20.1%.

Step-by-step explanation:

(735 - 612 = 123 ft.

% error = (123/612) * 100

= 20.1%.

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:

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°

Answer:

60.42

Step-by-step explanation:

tan40 = opposite/adjascent

tan40 =x/72

x=72tan40

x = 72 * 0.8391

x = 60.42

Answer:

True

Step-by-step explanation:

Answer:

true

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:

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.

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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:

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

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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:

$1,575

Step-by-step explanation:

x = the cost of the less expensive piece of equipment

x+850 = the cost of the more expensive piece of equipment

x + (x+850) = 4,000 the.     two pieces together cost 4,000, so I added up the cost of the less expensive piece and the more expensive piece, and equaled it to 4,000

solve the equation:

x + (x+850) = 4,000

2x+850=4,000

2x=3,150

÷2

x=1,575

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

Answer:

those are the dimentions

Step-by-step explanation:

Answer:

jo mamma

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4 it's a vertical line.

Perpendicular line to a vertical line is a horizontal line.

A horizontal line has equation y = a.

A horizontal line passes through the point (3, 5) → x = 3 and y = 5.

Therefore the equation is y = 5

Answer:

Step-by-step explanation:

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

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

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A) {0,1,2,3,4,5,6,7,8,9} is the right answer

Step-by-step explanation:

Given

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

We hvae to find the union of all thre sets.  In union, the elements of involved sets are combined. The repating elements are only written once

So,

[tex]AUBUC = \{1, 2, 5, 7\}U\{3, 4, 6, 7\}U\{0, 5, 8, 9\}\\= \{0,1,2,3,4,5,6,7,8,9\}[/tex]

Hence,

A) {0,1,2,3,4,5,6,7,8,9} is the right answer

Keywords: Sets, Union

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