Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child?

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

[tex]A=a^2[/tex]

Where, a is the side length of the square.

[tex]a=\sqrt{A}[/tex]

Area of the square is 100 square units. So, the side length is:

[tex]a=\sqrt{100}[/tex]

[tex]a=10[/tex]

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

[tex]a=\sqrt{95}[/tex]

It is not exact. We know that [tex]\sqrt{81}<\sqrt{95}<\sqrt{100}[/tex].

Therefore, the side length is between 9 and 10.

Area of the square is 36 square units. So, the side length is:

[tex]a=\sqrt{36}[/tex]

[tex]a=6[/tex]

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

[tex]a=\sqrt{30}[/tex]

It is not exact. We know that [tex]\sqrt{25}<\sqrt{30}<\sqrt{36}[/tex].

Therefore, the side length is between 5 and 6.

Answer:

The volume of the triangular pyramid to the nearest whole number is 924 inches cube

Answer:

12.5m³

Step-by-step explanation:

V = w × h × l = 1.43 × 3.13 × 2.8 = 12.5m³

Have a good day

Answer:

ZOOM PLZ COME WE R BORED

MEETING ID 798 4170 2552

PASSWORD:XCNeV3

Step-by-step explanation:

Answer:

Given function:

This is a translation right and up:

The size of the angle m∠PRQ for the polygon is equal to 15°

To calculate the sum of interior angles of a polygon, you can use the following formula:

Sum of interior angles = (n-2) x 180 degrees

Where "n" represents the number of sides (or vertices) of the polygon.

Given the 12 sided polygon;

(12 - 2) × 180 = 1800

one interior angle = 1800/12 = 150°

The angle PQR is a base angle of the Isosceles triangle ∆PQR with one interior angle of the 12-sided polygon so;

m∠PRQ = (180 - 150)/2

m∠PRQ = 15°.

Therefore, the size of the angle m∠PRQ for the polygon is equal to 15°

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Answer:

Por la compra de un televisor en $ 130000 se ha pagado →1/4 del total al contado → el restante en 6 cuotas de igual valor .

el valor de cada cuota =?

Step-by-step explanation:

Para resolver el ejercicio se procede a realizar la operación indicada de calcular el valor de cada una de las 6 cuotas de igual valor, de la siguiente manera :

1/4 * $130000 = $ 32500

$ 130000 - $ 32500 = 97500 $ 97500 /6 = $ 16250

El valor de cada una de las 6 cuotas restantes es de $ 16250 .

Answer:

1, 2 and 3

Step-by-step explanation:

The answer to this problem is A) 760.27 in^2

Answer:

A. Lump sum payment

Step-by-step explanation:

Just took the quiz

Answer:

Lump-sum payment is when you write a check for a large amount due all at one time.

Step-by-step explanation:

What is lump-sum payment?

Lump sum payment refers to a one-time large payment of money given to an employee, usually instead of a series of payments made over time.

The correct answer is Option 1.

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Answer:

A, C, D

Step-by-step explanation:

One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)

Answer:

[tex]7c\sqrt23d[/tex]

Assuming that Anita needs hollow right circular cones, we are solving for its lateral surface area, which is given by the formula πr√ (h²+r²), where r is the radius and h is the height.

r = 6 ft / 2 = 3 ft

Solving for the lateral surface area of one cone:

LSA = (3.14) (3) [√ (12²+3²) ] = 116.52 sq ft.

Since she needs 10 cones:

10 * 116.52 sq. ft = 1,165.2 sq ft.

She will need 1,165.2 sq ft of material.

Hope this helps you :)

Answer:

Ray DC and Ray DE

Answer: The greatest common factor od 12 and 18 is 6

Step-by-step explanation:

Answer:

D 53 is the answer I just took the test

Answer: 53

Step-by-step explanation: taking the test

Answer:

1. -3

2. 0/4 or 0

3. -2/3

4. -4/-3

Step-by-step explanation:

Answer:

1. The slope is -3

2. The slope is -1

3. The slope is -1/2

4. The slope is 4/3

Answer:

D) 269.3

Step-by-step explanation:

Rectangular prism volume:

V = whl

V = (12.1)(5.3)(4.2)

V = 269.346

9514 1404 393

Answer:

  (-7, -11)

Step-by-step explanation:

  [tex]\dfrac{x^2+3x-28}{x+7}=\dfrac{(x+7)(x-4)}{x+7}=x-4\qquad x\ne-7[/tex]

The hole is at x=-7. The left- and right-limits at that point are -7-4 = -11. So, the coordinates of the hole are (-7, -11).

Given:

Initial value of the stock = $100

Growth factor = 1.5 each week.

To find:

The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.

Solution:

Let V be the current value of the stock after t week.

The exponential growth model is:

[tex]V=ab^t[/tex]

Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.

Substituting [tex]a=100,b=1.5[/tex], we get

[tex]V=100(1.5)^t[/tex]

Therefore, the required equation for the given situation is [tex]V=100(1.5)^t[/tex].

Answer:

(4, 3).

Step-by-step explanation:

Input 4  (x = 4):-

y = -2(4) + 11

= -8 + 11

= 3.

Responder:

243

Explicação passo a passo:

Dado que :

Número inicial de bananas = 272

Número de bananas devolvidas com = 129

Para obter o número de bananas vendidas, usamos a operação de subtração do número de bananas com que ela saiu de casa e do número de bananas com que voltou.

Portanto, número de bananas vendidas:

372 - 129 = 243

In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.

Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.

Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.

Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.

Jacob outpaced Pete by 856 – 819 = 37 seconds.

Pete ran 37 seconds faster as a result.

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Answer:

69.3 meters squared

Step-by-step explanation:

1) Think of the shape as being divided into two sections (a rectangle and a triangle)

2) multiply 5.2 times 7 to find the area of the rectangle (36.4)

3) subtract 5.2 from 14.6 to find the base of the triangle (9.4)

4) multiply 9.4 by the height of the triangle 7 (65.8)

5) divide 65.8 by two because a triangle is half of the needed rectangle

6) this leaves 32.9

7) add 32.9 and 36.4 to get your final answer of 69.3 meters squared

hope this helps :)

Answer:

Step-by-step explanation:

By zero product property,

Zeros of the given quadratic equation,

m² - 121 = 0

m² - (11)² = 0

(m + 11)(m - 11) = 0

m = -11. 11

Option C is the answer.

9x² - 3x - 2 = 0

9x² - 6x + 3x - 2 = 0

3x(3x - 2) + 1(3x - 2) = 0

(3x + 1)(3x - 2) = 0

x = [tex]-\frac{1}{3}, \frac{2}{3}[/tex]

Option B is the answer.

4x² + 2x - 6 = 0

2x² + x - 3 = 0

2x² + 3x - 2x - 3 = 0

x(2x + 3) - 1(2x + 3) = 0

(x - 1)(2x + 3) = 0

x = [tex]-\frac{3}{2},1[/tex]

Option A is the answer.

Answer:

A. True

B. False

C. True

D. False

E. True

The mixed fraction equations which are true are C , D and E

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

Let the mixed number equation be represented as A

Now , the value of A is

To solve each equation, we can convert mixed numbers to improper fractions, then multiply the fractions, and simplify the result if possible.

A)

A = 5/6 × 4 2/3 = (5/6) × (4×3 + 2)/3

A = (5/6) × 14/3 = 35/9, which is not equal to 3 8/9.

Therefore, equation A is false.

B)

B = 1 1/10 × 8 3/5 = (11/10) × (43/5)

B = 473/50 = 9 23/50, which is not equal to 9 1/2.

Therefore, equation B is false.

C)

C = 3 2/9 × 2 1/6 = (29/9) × (13/6)

C = 377/54 = 6 53/54

Therefore, equation C is true.

D)

D = 2 3/7 × 1 7/8 = (17/7) × (15/8)

D = 255/56 = 4 23/56 = 2 3/8

Therefore, equation D is true.

E)

E = 7/12 × 4 = 7/3 = 2 1/3

Therefore, equation E is true.

Hence , the equations that are true are C, D, and E

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step by step

ANSWER:  (2x^2-5x+1) *(4x+3)

((*8 • (x3)) -  (2•7x2)) -  11x) +  3

STEP

2

:

Equation at the end of step

2

:

 ((23x3 -  (2•7x2)) -  11x) +  3

STEP

3

:

Checking for a perfect cube

3.1    8x3-14x2-11x+3  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  8x3-14x2-11x+3

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+3

Group 2:  8x3-14x2

Pull out from each group separately :

Group 1:   (-11x+3) • (1) = (11x-3) • (-1)

Group 2:   (4x-7) • (2x2)

cos 48° = b / √(a²+b²)

tan 48° = a/b

sin 48° = a / √(a²+b²)

Answer:

C

Step-by-step explanation:

We can cross A and B off cause it involves multiplication

We can cross D off cause 3 + 3 + 3 = 9, not 27

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