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ZanzabumX [31]
3 years ago
14

Simplify each expression. use positive exponents. 1. m^3n^–6p^0

Mathematics
1 answer:
loris [4]3 years ago
8 0
m^3n^{-6}p^0= \frac{m^3*1}{n^6} = \frac{m^3}{n^6}
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The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44
melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

<u>45 =  \frac{y}{35}</u>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

New total number of students

= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

44.5  =  \frac{y + x}{36}

<h3>4) Substitute the value of y</h3>

44.5 =  \frac{1575 + x}{36}

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

1602= x +1575

<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

x= 27

Thus, the weight of the new student is 27 kg.

7 0
3 years ago
Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
Alborosie
Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup
3 0
3 years ago
(2/3 to the third power) what else equals the answer giving 88 points for it
antoniya [11.8K]

Step-by-step explanation:

please type the question correctly, it's confusing. thanks

3 0
3 years ago
Someone plz help me this is really hard someone knows wht this is and can help plz do so thx!
LenKa [72]

Answer:

C

Step-by-step explanation:

Educated guess

3 0
3 years ago
Read 2 more answers
Teri has $6 less than does her sister, Jennie, who has x dollars. Teri
elixir [45]

The expression for the amount of money, in dollars, Teri has is x-2.

Since Jennie has x dollars while Teri has $6 less than does Jennie, this means that Teri will have: x - 6

Since Teri does not spend any money and earns $4, the the total amount that Teri has will be:

= x - 6 + 4

= x - 2

Therefore, Teri has x-2.

Read related link on:

brainly.com/question/24499674

4 0
3 years ago
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