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sleet_krkn [62]
3 years ago
14

The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the last three is 70. What mu

st be the remaining number?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

From the last two facts, we get

\dfrac{x_1+x_2+x_3}3=50\implies\dfrac{x_1+x_2+x_3}7=\dfrac{150}7

\dfrac{x_5+x_6+x_7}3=70\implies\dfrac{x_5+x_6+x_7}7=30

Then

\dfrac{x_1+x_2+\cdots+x_6+x_7}7=60\implies\dfrac{x_4}7=60-\dfrac{150}7-30\implies\boxed{x_4=60}

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The point (4,-5) is rotated 90° clockwise
V125BC [204]

Answer:

5,4

Step-by-step explanation:

here is the rule (4,-5) rotate 90 clockwise = (5,4)

4,-5 will put you in the 4 quadrant rotate it 90 clock wise Put you in the first quadrant

6 0
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Divide 800ml into ratio 3:7
Black_prince [1.1K]
Simply take the numerator (3) and denominator (7) and add them together. 

3+7 = 10, which means that the ratio will provide parts that are in multiples of 10 depending on the total

so take 10x = 800 

x = 80.

Then multiply this by the numerator and denominator 

3*80/7*80 = 240/560. 
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3 years ago
Find the measure of each angle indicated 37° 50° ?​
8_murik_8 [283]

Answer:

<u>93°</u>

Step-by-step explanation:

According to angle sum property, all the internal angles of a triangle add up to 180 degrees.

=> 37 + 50 + ? = 180

=> ? = 180 - 87

=> ? = <u>93°</u>

5 0
2 years ago
Solve(100 points to right answer)If you get it wrong or type random stuff you will be reported
anygoal [31]

Answer:

24 ft

Step-by-step explanation:

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What is the answer to this question <br> 2x + x + x + 2y x 3y x y
nikklg [1K]

Answer:

2 x (3 y^3 + 2)

Step-by-step explanation:

Simplify the following:

2 x + x + x + 2×3 y y x y

2 y×3 y = 2 y^2×3:

2 x + x + x + 2×3 y^2 x y

2×3 = 6:

2 x + x + x + 6 y^2 x y

6 y^2 x y = 6 y^(2 + 1) x:

2 x + x + x + 6 y^(2 + 1) x

2 + 1 = 3:

2 x + x + x + 6 y^3 x

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Factor 2 x out of 6 x y^3 + 4 x:

Answer: 2 x (3 y^3 + 2)

3 0
3 years ago
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