An ant has a mass of approximately 4 × 10–3 grams and an elephant has a mass of approximately 8 x 106 grams. How many times larger is the elephant's mass as compared to the ant's mass?

Answers

Answer 1
Answer:

2*10^(9) times larger is the elephant's mass as compared to the ant's mass.

Given that, the mass of an ant is approximately 4* 10^(-3) and the mass of an elephant is approximately 8*10^(6).

We need to find how many times larger is the elephant's mass as compared to the ant's mass.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be the number of times the elephant's mass is larger than an ant's mass.

So, x=The elephant's mass/An ant's mass= (8*10^(6))/(4* 10^(-3))

=2*10^(9)

Therefore, 2*10^(9) times larger is the elephant's mass as compared to the ant's mass.

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Answer 2
Answer:

Answer:

Mass of elephant/mass of ant = 8x10^6/4x10^-3 = 2x10^9. Therefore, mass of elephant = 2x10^9 times mass of ant.

Step-by-step explanation:


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. A bag contains 7 orange beads, 3 red beads, and 5 white beads. What is the probability ofdrawing a white bead?

Answers

Answer:

Work shown below!

Step-by-step explanation:

White bead = (5)/(15) =(1)/(3)

Answer:

a 33.3333333% chance

Step-by-step explanation:

we do 7+3+5= 15 (the denominator)

and so the amount of white beads in total is 5/15

5÷15+100= 33.333333333 and so on percent

Williams salary is £24000 his salary increases by 4% work out Williams new salary

Answers

100%  = 24000 
50 %  =  12000
10%   =   2400
5 %    = 1200
1 %    = 240

You pick a card at random. Without putting the first card back, you pick a second card at random. [1] [2] [3]

What is P(3, greater than 2)? Write your answer as a percentage.

Answers

Probability of first getting a  3 = 4/52 = 1/13
The p(getting >2)  =   probability of getting  one of the remaining 3's or 40 other cards ( Im taking the aces to be low value)  = 43/51

Required probability = 1/13 * 43/51 =  43/663

If aces are counted high it will be 1/13 *  47/51 =   47/531

=  

Find the missing term and the missing coefficient. (6a − )5a = a2 − 35a

Answers

So, (6a - X)*5a = Y*(a^2) - 35a 
=> 6a*5a - X*5a = Y*(a^2) - 35a 
=> 30(a^2) - X*5a = Y(a^2) - 35a

30 = Y and 
X*5 = 35 or X = 7 

Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not have income. Their mortgage payment of $2,800 includes insurance on their home. They have additional monthly expenses of $2,700.Jim contributes 15% of his earnings to a retirement fund and they have $5,000 in savings. There is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie.

As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on?

Answers

Jim and Jackie should work on their plan for managing income. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

They are currently spending too much money and they should either lower their costs or Jackie will have to find a job:

Jim's net pay = $67,000

Jackie's net pay = $0

total monthly expenses = $2,800 (mortgage and extras) + $2,700 other expenses = $5,500 x 12 months = $66,000

Since Jim contributes 15% of his income to a retirement fund, they are currently having a deficit = net income - total expenses = ($67,000 x 85%) - $66,000 = $56,950 - $66,000 = -$9,050

They will not to able to handle this deficit for a long time, so they should decide which expenses to cut (out of the $2,800 additional expenses).

Therefore, Jim and Jackie should work on their plan for managing income. The correct option is A.

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The savings and life insurance on Jackie

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso. It costs $40 to travel from Tucson to Flagstaff, and $90 to travel from Albuquerque to El Paso. So, how much does Bart need to pay?

Answers

Answer:

$20.

Step-by-step explanation:

Given:

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

It costs $40 to travel from Tucson to Flagstaff,

And $90 to travel from Albuquerque to El Paso.

Question asked:

How much does Bart need to pay ?

Solution:

Fair to travel from Tucson to Flagstaff = $40

Fair to travel from Albuquerque to El Paso = $90

As Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

Bart\ need\ to\ pay=2 *\$40 - (2)/(3) *\$90\n \n

                            =80-(180)/(3) \n \n =80-60\n \n =20

Thus, Bart need to pay $20.