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Snezhnost [94]
3 years ago
12

Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. The number of 4 points quest

ions is one-third the number of 2-point questions. How many 2- and 4-point questions are on the test?
Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

25 4-point questions and 75 2-point questions

Step-by-step explanation:

Let x = no. of 4-point questions

Then 3x = no. of 2-point questions

So, x + 3x = 100

4x = 100

x = 25 =  no. of 4-point questions

and 3x =  3(25) = 75 = no. of 2-point questions

Hitman42 [59]3 years ago
3 0

Answer:

2

Step-by-step explanation:

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Which expressions are equivalent to -2.5(1-2n) - 1.5n
Keith_Richards [23]

Answer:

-5n - 4


Step-by-step explanation:

The goal is to simplify this expression.


1. Distribute

-2.5 * 1 = -2.5

-2.5 * 2n = -5n


Now, we have

-2.5 - 5n - 1.5


2. Combine like terms

-2.5 + (-1.5) = -4 (+ * - = -   The - cancels out the +)


3. Put it together

-5n - 4


I hope I helped!

Let me know if you need anything else!

~ Zoe



4 0
3 years ago
A right cylindrical container perfectly holds 5 tennis balls placed one above the other. The radius of each ball is 3.35 centime
mash [69]

Answer: 394 cm3


Step-by-step explanation:

volume of cylinder - volume of 5 balls=extra volume

voc=πr2h=1181.09

pi=22/7

r=3.35

h= 5 x diameter of ball=33.5 (diameter = 2r)


vo5b=5(4/3πr3)=787.4

r=3.35

ev=voc-vo5b

=393.69


ROUND TO 394

5 0
3 years ago
The formula for the volume of a rectangular prism is v=lwh what id the formula whem sloved for w
Deffense [45]
In order to isolate w, you would simply divide both sides by lh because divisionis the oppositeof multiplication which is currentlybeing done. After doing this, your answer is w = v/lh.

I hope this helps!
7 0
3 years ago
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
kari74 [83]

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, <em>x:</em>

c² = a² + b²

c² = (6.1)² + (10.6)²

c² = 37.21 + 112.36

\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }

\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }

c = 12.2 mi

Therefore, x = 12.2 mi

5 0
2 years ago
Read 2 more answers
Using the Angle Bjsector theorem solve for x. Pleade show how you got your answer!
ladessa [460]
The segments above the bisector are proportional to the corresponding segments below.

(4x +1)/5 = 15/3
4x +1 = 25
x = (25 -1)/4 = 6

The value of x is 6.
7 0
3 years ago
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