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Neporo4naja [7]
3 years ago
8

Suppose your average, after taking 4 quizzes, is 73(out of 100). What must your average be on the next 5 quizzes to increase you

r average to 88 out of 100?
Mathematics
1 answer:
pychu [463]3 years ago
8 0

x = average of next 5 quizzes

4 * 73 = first 4 quizzes

There will be a total of 4 +5 = 9 quizzes

Average of all quizzes = 88 = (4*73+5x)/9

 

9*88 = 9*(292 +5x)/9

792 = 292 + 5x

500 = 5x

X = 500/5 = 100

<span> Next 5 quizzes need to average 100</span>


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The function A(b) relates the area of a trapezoid with a given height of 10 and
Natali [406]

Answer:

B(a)=\frac{a}{5} -7

Step-by-step explanation:

The input it taken as the unknown base value, while the output here is the area of the trapezoid. b is therefore the base value, and A( b ) is the area of the trapezoid. Let's formulate the equation for the area of the trapezoid, and isolate the area of the trapezoid. To find the inverse of this function, switch y ( this is A( b ) ) and b, solving for y once more, y ➡ y ⁻ ¹.

y = height * ( ( unknown base value ( b ) + 7 ) / 2 ),

y = 10 * ( ( b + 7 ) / 2 )

Now switch the positions of y and b -

b = 10 * ( ( y + 7 ) / 2 ) or b=\frac{\left(y+7\right)\cdot \:10}{2} - now that we are going to take the inverse ( y ⁻ ¹ ) or B( a ), b will now be changed to a,

y+7=\frac{a}{5},

y^{-1}=\frac{a}{5}-7 = B(a)

Therefore the equation that represents the inverse function will be the following : B(a) = a / 5 - 7

8 0
3 years ago
Use synthetic division to find (5x<br> + 31x + 32) = (x + 5).
LiRa [457]
We move all terms to the left:
+31x+32)-((+5)=0
So your answer is 0
5 0
3 years ago
Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would m
xenn [34]

Answer:

The speed is still water is v = \frac{d}{h} - c.

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

c + v = \frac{d}{h}

Where:

c - Current speed, measured in miles per hour.

v - Speed of the person regarding current, measured in miles per hour.

d - Distance travelled downstream, measured in miles.

h - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

v = \frac{d}{h} - c

The speed is still water is v = \frac{d}{h} - c.

4 0
3 years ago
A recipe calls for two eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?
zzz [600]
Hello!

2 eggs makes 10 pancakes so that is a 2:10 ratio

which can be reduced to 1 egg makes 5 pancakes so  

35/5 which equals 7

7 eggs are needed to make 35 pancakes

Hope this helps!
5 0
3 years ago
Find the volume of each figure. Round your answers to the nearest tenth, if necessary​
olga nikolaevna [1]

Answer:

1.92 m³

hopefully this answer can help you to answer the next question.

5 0
3 years ago
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