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
Sergio039 [100]
3 years ago
6

Pam has taken 4 tests. She scored an 82, 94, 89 and 92. What would she need to score on her 5th test to have a mean of 90?

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

93

Step-by-step explanation:

5*90 = 450

82+94+89+92 = 357

so

450-357 = 93

hope this helped :)

You might be interested in
Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
Question 3 find the x -intercept(s) and the coordinates of the vertex for the parabola
Olegator [25]

is there a picture? if there is I cant see it


3 0
3 years ago
A rope is 225 centimeters long.
n200080 [17]

Answer:

This is impossible, unless you meant centimeters. If you did, then the answer would be 113.

Step-by-step explanation:

225 - 112 = 113.

8 0
3 years ago
Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x
iren [92.7K]

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

6 0
3 years ago
X:2 (105-275:11):4=28
balandron [24]
X:2+(105-275:11):4=28
X:2+(105-25):4=28
X:2+80:4=28
X:2+20=28
X:2=28-20
X:2=8
X=8×2
X=16
4 0
3 years ago
Other questions:
  • A certain recipe calls for 2/3 cup of flour. A Chef is making an amount that is 3/5 of the recipe how much flour should chef use
    10·1 answer
  • What is the commission of 1,250 with a commission rate of 5%?
    7·1 answer
  • 7/2x + 1/2x = 10 1/2 + 5/2x
    13·1 answer
  • Write the equation of a line that passes through (-2,6) and 1,-6)
    13·2 answers
  • Devon has $200 in his savings account. He has to withdraw $8 every week to pay his friend back for some video games. The video g
    15·1 answer
  • Help me with this this is confusing <br> give me the answer
    9·1 answer
  • Find the 60th term of<br> the arithmetic sequence 4, -1, -6, ...
    12·1 answer
  • Solve for n:<br> 6n − 2(4n + 7) + 4 = -2<br> A:-6<br> B:-4<br> C:4<br> D:6
    8·2 answers
  • Please help me.. there is a image
    12·2 answers
  • A concession stand owner bought some bottles of water for $0.75 each and began selling them for $1.25 each. When he made back al
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!