Rearrange the digit in 3,529.718 to make the largest number possible

today the engel family went to the zoo. Admissions for each person is $50. The parking feeis $16. How many people in the engel f

OverLord2011 [107]

Answer:

The total people in the Engel family who went to the zoo is 6.

Step-by-step explanation:

The admission for each person =$50

Parking fee = $16

Let us assume the total member who go to zoo = m

So, Total ticket price for m people = m x (Price of each ticket)

= m x ($500= 50 m

Total money spent by the family = $ 316

⇒ Parking Fee + Money spent on m tickets = Total money = $316

⇒ 16 + 50 m = 316

or, 50 m = 316 - 16 = 300

⇒ m = 300 / 50 = 6

or, m = 6

Hence the total people in the engel family who went to zoo is 6.

8 0

3 years ago

40= x times -4/7. What is the answer

AleksAgata [21]

Answer:

The answer to the question provided is -70.

4 0

2 years ago

HELPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEE YOU ARE SAVING MY LIFE IF YOU HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Sladkaya [172]

Answer:

C. 8x - 16

D. $x^2$ + 6x + 8

A. 2 (x + 3)

B. 7(2 - x)

C. -8x

D. 7x

Step-by-step explanation:

c.

To solve this problem, first, one must distribute, multiply every term inside the parenthesis by the term outside,

2(4x - 8)

=(2)(4x) + (2)(-8)

= 8x - 16

d.

To solve this problem, distribute, multiply every term inside one parenthesis by every term in the other, the combine like terms,

(x + 4)(x + 2)

= (x)(x) + (4)(x) + (2)(x) + (4)(2)

= $x^2$ + 4x + 2x + 8

= $x^2$ + 6x + 8

a.

Factor, write the given expression as the product of two expressions. Take out a common factor that both terms have,

2x + 6

= 2(x + 3)

b.

Factor this expression, take out a common factor, and rewrite the expression as the product of two other expressions,

14 - 7x

7(2 - x)

c.

Combine like terms,

2x - 10x

= -8x

d.

Combine like terms to solve this problem

3x + 4x

= 7x

4 0

2 years ago

A single card is drawn from a deck of 52 cards, find the following

aleksandr82 [10.1K]

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

There are total 52 cards.
26 cards are red and 26 cards are black
Out of 26 red cards; 13 cards are of diamond and 13 cards are of heart
Out of 26 black cards; 13 cards are of spade and 13 cards are of clubs
In spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack

a. result is a queen

Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart

There are total 4 queens

Total number of cards is 52

Probability = Number of favourable outcomes/total number of outcomes

Probability = 4/52

Probability = 1/13

b. result is a queen result is a face card

From my understanding, this question is result is a queen given that result is a face card.

Queen: 4 cards

Face card means King, Queen and Jack

Each set has one King, one Queen and one Jack

There are total 4 sets

Therefore, there are 4 Kings, 4 Queens and 4 Jacks

Face cards: 12-4 (because 4 queens have already been taken out) = 8

Total number of cards: 52-4 (because 4 queens have already been taken out) = 48

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

c. result is a heart

Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart

Heart = 13 cards

Total number of cards = 52 cards

Probability = Number of favourable outcomes/total number of outcomes

Probability = 13/52

Probability = 1/4

d. result is a heart | result is a red card

Result is a heart = P(A) = 13/52 = 1/4

Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

e. result is a heart result is a black card

Result is a heart = P(A) = 13/52 = 1/4

Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator

= 26/39 = 2/3

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

f. result is a heart result is not a diamond

Result is a heart = P(A) = 13/52 = 1/4

Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

4 0

3 years ago

Craig has a building block in the shape of a rectangular pyramid. A net of which is shown below.

Alex787 [66]

Answer:

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b = 6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

3 0

3 years ago