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
IceJOKER [234]
3 years ago
12

So i need help on one of my homework questions. The problem is, On his first 2 tests Nate`s average score was 80 percent. On his

next 3 tests Nate`s average score was 90 percent. What was his average score for all 5 tests? I need help on how to solve this.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
His average for all 5 tests would by 86% because 80 + 80 = 160 and 160 + (90 x 3) = 430 and 430 divided by 5 = 86%.
You might be interested in
which of the following is equivalent to 3 sqrt 32x^3y^6 / 3 sqrt 2x^9y^2 where x is greater than or equal to 0 and y is greater
Nutka1998 [239]

Answer:

\frac{\sqrt[3]{16y^4}}{x^2}

Step-by-step explanation:

The options are missing; However, I'll simplify the given expression.

Given

\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }

Required

Write Equivalent Expression

To solve this expression, we'll make use of laws of indices throughout.

From laws of indices \sqrt[n]{a}  = a^{\frac{1}{n}}

So,

\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} } gives

\frac{(32x^3y^6)^{\frac{1}{3}}}{(2x^9y^2)^\frac{1}{3}}

Also from laws of indices

(ab)^n = a^nb^n

So, the above expression can be further simplified to

\frac{(32^\frac{1}{3}x^{3*\frac{1}{3}}y^{6*\frac{1}{3}})}{(2^\frac{1}{3}x^{9*\frac{1}{3}}y^{2*\frac{1}{3}})}

Multiply the exponents gives

\frac{(32^\frac{1}{3}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}

Substitute 2^5 for 32

\frac{(2^{5*\frac{1}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}

\frac{(2^{\frac{5}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}

From laws of indices

\frac{a^m}{a^n} = a^{m-n}

This law can be applied to the expression above;

\frac{(2^{\frac{5}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})} becomes

2^{\frac{5}{3}-\frac{1}{3}}x^{1-3}*y^{2-\frac{2}{3}}

Solve exponents

2^{\frac{5-1}{3}}*x^{-2}*y^{\frac{6-2}{3}}

2^{\frac{4}{3}}*x^{-2}*y^{\frac{4}{3}}

From laws of indices,

a^{-n} = \frac{1}{a^n}; So,

2^{\frac{4}{3}}*x^{-2}*y^{\frac{4}{3}} gives

\frac{2^{\frac{4}{3}}*y^{\frac{4}{3}}}{x^2}

The expression at the numerator can be combined to give

\frac{(2y)^{\frac{4}{3}}}{x^2}

Lastly, From laws of indices,

a^{\frac{m}{n} = \sqrt[n]{a^m}; So,

\frac{(2y)^{\frac{4}{3}}}{x^2} becomes

\frac{\sqrt[3]{(2y)}^{4}}{x^2}

\frac{\sqrt[3]{16y^4}}{x^2}

Hence,

\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} } is equivalent to \frac{\sqrt[3]{16y^4}}{x^2}

8 0
3 years ago
Please help ill give branlist and extra points if yall help me with this
neonofarm [45]
Number 1 is B Number 2 is C
5 0
2 years ago
Read 2 more answers
I reallyyyy do neeed some help with this ?? I keep getting them wrong ;(
Aleks [24]
The angle adjacent to angle 3 = 45  The figure is a kite and the long diagonal cuts the top angle in 2 Therefore < 3 = 45 degrees.
4 0
3 years ago
5. Use 3.14 for π to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessa
Brilliant_brown [7]
76.6 is the answer for the question
3 0
2 years ago
Read 2 more answers
Simplify this algebraic expression completely
poizon [28]

the answer for your question is A :>

7 0
3 years ago
Read 2 more answers
Other questions:
  • Ḧ̤ë̤l̤̈p̤̈ p̤̈l̤̈ë̤ä̤s̤̈ë̤
    5·1 answer
  • What is the range of the function f(x) = 2x + 1 given the Domain D = {-1,0, 1, 2}?
    9·1 answer
  • 10 different names are put into a computer and one of the names is Colin. On a Saturday the computer chooses 2 names at random.
    14·1 answer
  • Water flows at a rate of 9000 cubic inches per minute into a cylindrical tank. the tank has a diameter of 144 inches and a heigh
    15·2 answers
  • if you have an accurate, complete scale drawing and the scale, which measurements of the objects of the drawing can you find
    7·1 answer
  • What is the product of 73 and 4.4 x 10^6 expressed in scientific notation?​
    6·1 answer
  • On which number line are -3 and it’s opposite shown?
    14·2 answers
  • Type the integer that makes the following addition sentence true for Brainliest!
    13·2 answers
  • Help me solve this problem, i already did it but i want to be sure it’s right
    9·2 answers
  • Find a equation of the line that has intercepts (1,0) and (0,4).
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!