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MariettaO [177]
3 years ago
5

Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the ques

tions?
Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

32,768 ways

Step-by-step explanation:

True/ false questions = 5 ; number of options = 2 (True or false)

Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32

Number of Multiple choice questions = 5

Number of options (A - D) = 4 options

Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024

32 * 1024 = 32,768 ways

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Is 2×3×4the prime factorization of 24 Explain you reasoning​
Elden [556K]

Answer:

see the prime factors

Step-by-step explanation:

24= 6*4=3*2*2*2

=2*3*4

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3 years ago
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What are the angles of a triangle
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The angles inside a triangle are called interior angles. The diagram below shows the interior and exterior angles of a triangle. The three interior angles in a triangle will always add up to 180°. At each corner the exterior and interior angles are on a straight line, so at each corner these two angles add up to 180°.
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Help please ! Please
gizmo_the_mogwai [7]

Answer:

15, 8, 25 The teacher payed 0.40 per book.

Step-by-step explanation:

4/10 = 2/5 Simplify the 4/10 to find the unit rate.

15: 2/5 = 6/x Set up your proportion.

    2x   =30 Cross multiply

    /2      /2 Divide both sides by 2 to isolate x

     x     =15

8: 2/5 = x/20 Set up proportion

   40  =5x Cross multiply

    /5     /5 Divide both sides by 5 to isolate x

     8  =x

25: 2/5 = 10/x Set up proportion

      2x  =50 Cross multiply

       /2     /2 Divide both sides by 2 to isolate x

        x   =25

Graph: y=mx+b To graph, you will need to use y=mx+b format

           y= 2/5 x+2 2/5 is your unit rate. Your rate changes every 2 books bought. To graph, start at (0,2) and go up 2 and to the right 5, plot. Continue moving up 2 and to the right 5 to graph.

The teacher payed 0.40 per book because 2/5 simplifies to 0.40.

   

8 0
3 years ago
If a rectangle has side lengths 5x-y and x+4y what would be the area and perimeter of the rectangle?
Dafna1 [17]

Answer:

<em>Answer is</em><em> </em><em>given</em><em> </em><em>below with explanations</em><em>. </em>

Step-by-step explanation:

given \:  \: l = 5x - y \: and \: \:  b = x + 4y \\ area \: of \: rectangle \:= l \times b \: sq.units \\  = (5x - y)(x + 4y) \\  = 5 {x}^{2}  + 20xy - xy - 4 {y}^{2}  \\  = 5 {x}^{2}  + 19xy - 4 {y}^{2}  \\ perimeter \: of \: rectangle \\  = 2(l + b) \\  = 2(5x - y + x + 4y) \\  = 2(6x + 3y) \\  = 12x + 6y

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

6 0
3 years ago
Which is equivalent to 437<br> O A 7<br> B. 12<br> OC 16<br> OD. 64<br> E. 81
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D 64 if this is right please give me brainlist
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