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Hatshy [7]
3 years ago
7

Mr. Plum's math class of 25 students had an average of 85 on a test. Miss Scarlett's class of 22 students had an average of 87 o

n the same test. What is the average of the two classes combined?
Mathematics
2 answers:
Monica [59]3 years ago
6 0
Use ((85x25)+(22x87))/ 47 for this to get the answer of about 86 (rounded)
maria [59]3 years ago
3 0
Add the two averages together and then divide it by 2. Thats your answer.
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Click the image please...
dexar [7]

Answer:

9^{-7}, 9^{-2}

Step-by-step explanation:

\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

(9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}

8 0
3 years ago
Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.
MArishka [77]

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ 3x^2-y^2=3...(equation 1)

⇒ y+x-5=0...(equation 2)

According to the 2nd equation, we get

⇒ y+x-5=0

⇒              y=5-x

On substituting the value of "y" in the 1st equation, we get

⇒  3x^2-y^2=3

     3x^2-(5-x)^2=3

     3x^2-(25+x^2-10x)=3

     2x^2+10x-28=0

On taking common, we get

     x^2+5x-14=0

On applying factorization, we get

     x^2+7x-2x-14=0

   x(x+7)-2(x+7)=0

           (x+7)(x-2)=0

                        x+7=0

                              x=-7

or,

                         x-2=0

                                x=2

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On substituting the values in the above formula, we get

= \sqrt{(2-(-7))^2+(3-12)^2}

= \sqrt{(9)^2+(-9)^2}

= \sqrt{81+81}

= 9 \sqrt{2} units

8 0
2 years ago
Question 1<br> What is the dashed part of the figure below?
Afina-wow [57]
Where is the figure at?
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 30x + 15y?
Softa [21]
C) because you can divide both by 15 and 30÷15 = 2
7 0
3 years ago
Read 2 more answers
Find the mean of the following set of data. Round your answer to two decimal places.
Vera_Pavlovna [14]

Answer:

41.23

Step-by-step explanation:

Mean = (23 + 50 + 49 + 48 + 49 + 32 + 37 + 40 + 41 + 42 + 41 + 41 + 43) ÷ 13

Mean = 536 ÷ 13 = 41.23 (rounded up to two decimal places)

3 0
3 years ago
Read 2 more answers
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