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Misha Larkins [42]

2 years ago

12

A math club took a math test. Twelve of the members had an average score of 80 points. Eighteen of the members had an average sc

ore of 86 points.
What was the class average?

2 answers:

taurus [48]2 years ago

6 0

Answer:

The class average is 83.6

Step-by-step explanation:

:D

AURORKA [14]2 years ago

6 0

Answer:

WHEN THE SUNN DONT SHINE U SHINE SUM OREEEE IM ALMOST THEREE!1!!! ALMOST THEREEE AWNSER 83.7

Step-by-step explanation:

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Find the measure of the following angles.<br><br> m < LPM: <br><br> m <br> m <br> HELP ASAP‼️

Elena-2011 [213]

Answer:

kpl- 90°

jpk-52°

npm-142°

lpm-38°

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Use the augmented matrix method to solve the following system of equations. Your answers may be given as decimals or fractions.

Alexandra [31]

Answer:

$x\ =\ \dfrac{21}{5}$

$y\ =\ \dfrac{3}{5}$

z = 2

Step-by-step explanation:

Given equations are

x - 2y - z = 2

x + 3y - 2z = 4

-x + 2y + 3z = 2

from the given equations the augmented matrix can be written as

$\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]$

$R_2=>R_2-R_1\ and\ R_3=>R_3+R_1$

$=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]$

$R_2=>\dfrac{R_2}{5}$

$=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]$

$R_1=>R_1+2.R_2$

$=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]$

$R_3=>\dfrac{R_3}{2}$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]$

$R_1=>R_1+\dfrac{7}{5}R_3\ and\ R_2+\dfrac{1}{5}R_3$

$=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]$

So, from the above augmented matrix, we can write

$x\ =\ \dfrac{21}{5}$

$y\ =\ \dfrac{3}{5}$

z = 2

7 0

2 years ago

What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9

Dmitrij [34]

Hey there!

The answer to your question is $4x^2+2x-2$

Given:

$x^2-3x+7$ $and$ $3x^2 +5x-9$

First, we can start by adding like terms. The following are like terms:

$x^2$ $and$ $3x^2$

$-3x$ $and$ $5x$

$7$ $and$ $-9$

Now, we can add these pairs together, giving us:

$4x^2$

$2x$

$-2$

Now, add all this together, and we get our answer as:

$4x^2 + 2x - 2$

Have a terrificly amazing day!

7 0

2 years ago

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot

Lera25 [3.4K]

Answer:

T = 96

Step-by-step explanation:

From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:

T ∝ 1/H

T = K/H

Cross multiply

K = TH

Next, we shall determine the value of K. This can be obtained as follow:

H = 8

T = 120

K =?

K = TH

K = 120 × 8

K = 960

Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:

H = 10

K = 960

T =.?

T = K/H

T = 960/10

T = 96

6 0

2 years ago

What is 4x + 3 = 2x +7

VARVARA [1.3K]

Bring like terms together
(REMEMBER CHANGE THE SIGN WHEN MOVING ACROSS THE EQUAL SIGN i.e. - becomes + and + becomes -)
4x - 2x = 7 - 3
2x = 4
divide both sides by 2
x = 2

4 0

3 years ago

Read 2 more answers