1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alukav5142 [94]
3 years ago
10

Anyone know how to do BOTH of these? Thanks!

Mathematics
2 answers:
cricket20 [7]3 years ago
6 0
The answer to the top one is 243.
Nataly_w [17]3 years ago
4 0

Question 1:

We have to simplify the expression \frac{(3^{3} \times 3^{4})^{2}}{3^{3} \times 9^{3}}

=\frac{(3^{3})^{2} \times (3^{4})^{2}}{3^{3} \times (3^{2})^{3}}

(Using the law of exponent, (a^{m})^{n}=a^{m \times n})

=\frac{3^{6} \times 3^{8}}{3^{3} \times 3^{6}}

Cancelling 3^{6} from the numerator and denominator.

=\frac{3^{8}}{3^{3}}

(Using the law of exponent, \frac{a^{m}}{a^{n}}=a^{m-n})

=3^{8-3}

=3^{5}

= 243

Question 2:

The average mass of an adult human = 65 kg

The average mass of an ant = 4 \times 10^{-6} kg (Since the unit of average mass of ant is not mentioned, i have assumed it as kg)

Let the number of ants be 'n'.

According to the question,

Average mass of adult human = n \times Average mass of ant

65 kg = 4 \times 10^{-6} kg \times n

n=\frac{65}{4 \times 10^{-6}}

n=16.25 \times 10^{6}

n=1625 \times 10^{4}

So, 1625 \times 10^{4} ants are needed to equal the mass of one average human.

You might be interested in
20 POINTS FOR ONE QUESTION!!!!!!!!!!!!!!!!!!!!!!
SCORPION-xisa [38]
A. Sometimes true.....
3 0
3 years ago
Write a number y divided by 6 as an expression.
Alina [70]

Answer:

y ÷ 6.

Step-by-step explanation:

An expression is a combination of a number(s) and a variable.

Here, we simply need to write the expression from the word problem in mathematical form.

"Number" is unknown.

Variables are used to represent an unknown value.

(The variable in this expression is y).

The word problem says a number y divided by 6.

This simply means: y ÷ 6.

7 0
2 years ago
Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it
TiliK225 [7]

Answer:

\dfrac{9}{25}

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }

Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}

Now, the <em>required probability</em> can be found as:

P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }

3 0
3 years ago
mrs lim had some money she spent 4/7 of it on necklace and 1/6 of her remainig money on a bracelet she then had $990 left how mu
zmey [24]

Answer:

she spent $1782

Step-by-step explanation:

first we have to find out her total money then minus 990

to get that 990 /5 then multipliedby 6 is 1188

1188 over 3 then times by 7 is 2772

2772 is the total amount of money she had. minus what she had left which is 990 she has spent 1782 dollars

4 0
2 years ago
Solve<br> 15x +4&lt; 26.5<br> Need help fast pls
d1i1m1o1n [39]

Answer:

x<1.5

explanation: move 4 to other side subtract it with 26.5 then divide it by 15

5 0
2 years ago
Read 2 more answers
Other questions:
  • Celebration is being held honoring five award winners of different ages each winner will be called one at a time in random order
    9·1 answer
  • WHICH IS THE SIMPLIFIED FORM OF THE EXPRESSION? 9(r + 3) -1/2 (4r - 16 )
    9·2 answers
  • I need to know how to do this
    11·1 answer
  • Number 9 please I need help hurry
    12·1 answer
  • How many years are in century? 1=100 2=75 3=1000
    5·2 answers
  • Kaitlyn has 7 white chips, 5 red chips, and 8 blue chips in a bag.
    14·1 answer
  • Simplify -4(-9p + -3) -2(-2p + 6)
    9·2 answers
  • Sean wants to make a frame for a painting. The painting is square and has area 196 square inches. The framing material costs ​$1
    14·1 answer
  • Please choose the ones that are true
    13·1 answer
  • I need help I don’t get it
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!