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GenaCL600 [577]
3 years ago
10

A class consists of 8 freshman and 22 sophomores.Freshman had an average of x points on a test,while sophomores had an average o

f y points.which expression gives the average test score per student for the entire class?

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

It's C because you need to find how many points each student earned per grade (freshman & sophomore). Then you multiply it by 30 to find out how many points each student scored in the whole class.

Hope this helps!

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Jane has $5 more than three times as much money as Lonnie has.Bob has $1 less than four times as much money as Lonnie has. All t
kkurt [141]
Starting equation:
92=J+L+B

To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1

Enter those equations in the problem

92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L

Answer:
Lonnie has $11
Jane has $38
Bob has $43

side note: Lonnie is that one poor friend we all have
5 0
3 years ago
20.2 = how many tenths
guapka [62]
A tenth is 0.1
so 0.2/0.1 = 2
there are 2 tenths in 20.2
7 0
3 years ago
Read 2 more answers
Pauline travels between two cities. First she drives for 40 minutes at an average speed of 88 km/hr then for 40 minutes at an av
Scilla [17]

Pauline's average speed for this trip is 64 km/hr.

<em><u>Explanation</u></em>

First we will convert each 'minutes' into 'hours' . So......

40 minutes = \frac{40}{60}hours =\frac{2}{3} hours and 23 minutes = \frac{23}{60}hours

Now,  Distance = Speed* Time

So, the distance traveled for first 40 minutes at 88 km/hr speed =(88* \frac{2}{3})km = 58.67 km ,

the distance traveled for next 40 minutes at 75 km/hr speed =(75*\frac{2}{3})km=50 km and

the distance traveled last 23 minutes at 49 km/hr speed =(49*\frac{23}{60})km = 18.78 km

So, <u>the total distance traveled </u>=(58.67+50+18.78) km = 127.45 km

She spends 17 minutes eating lunch and buying gas.

So, <u>the total time taken for the trip</u> = (40+40+17+23)minutes = 120 minutes= 2 hours

Thus, Pauline's average speed for this trip = (Total distance / Total time) =(\frac{127.45}{2})km/hr = 63.725 km/hr =64 km/hr <em>(Rounded to the nearest km/hr)</em>

8 0
3 years ago
Use the discriminant to describe the roots of each equation. Then select the best description?
Nitella [24]

Answer:

The roots are real and irrational

Step-by-step explanation:

* Lets explain what is the discriminant

- In the quadratic equation ax² + bx + c = 0, the roots of the

 equation has three cases:

1- Two different real roots

2- One real root or two equal real roots

3- No real roots means imaginary roots

- All of these cases depend on the value of a , b , c

∵ The rule of the finding the roots is

   x = [-b ± √(b² - 4ac)]/2a

- The effective term is √(b² - 4ac) to tell us what is the types of the root

# If the value under the root b² - 4ac positive means greater than 0

∴ There are two different real roots

# If the value under the root b² - 4ac = 0

∴ There are two equal real roots means one real root

# If the value under the root b² - 4ac negative means smaller than 0

∴ There is real roots but the roots will be imaginary roots

∴ We use the discriminant to describe the roots

* Lets use it to check the roots of our problem

∵ x² - 5x - 4 = 0

∴ a = 1 , b = -5 , c = -4

∵ Δ = b² - 4ac

∴ Δ = (-5)² - 4(1)(-4) = 25 + 16 = 41

∵ 41 > 0

∴ The roots of the equation are two different real roots

∵ √41 is irrational number

∴ The roots are real and irrational

* Lets check that by solving the equation

∵ x = [-(-5) ± √41]/2(1) = [5 ± √41]/2

∴ x = [5+√41]/2 , x = [5-√41]/2 ⇒ both real and irrational

5 0
3 years ago
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What is the perimeter of the polygon to the nearest tenth of a unit?
nadezda [96]
30 I’m pretty sure if not lmk
6 0
3 years ago
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