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Alenkasestr [34]
3 years ago
7

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choic

e questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?

Enter your answer in the box.
Mathematics
2 answers:
elena-s [515]3 years ago
6 0

Answer:

The correct answer is: X = 5

Step-by-step explanation:

Let's take a closer look...

Right now we only know that Louann got 14 multipe choice questions correct and recieved 24 points for her essay while Carla got 16 multiple choice questions correct and received 14 points for her essay. We don't know how many questions there are in total, correct? So let's plug in our numbers and use <em>x</em> to represent the unknown amount of questions:

14x + 24 = 16x + 14

= 2x + 10

= x = 5

I hope this helped!

Cheers, mate!



defon3 years ago
4 0
Each multiple choice question was worth 5 points.

14x+24 = 16x +14
2x = 10
x = 5
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Yuliya22 [10]

The probability of both children receiving a tablet is 15%.

We have given that

Age of Children P(Tablet) P(Laptop)

Less than 10    0.3   0.02

10-17     0.5    0.4

<h3>What is the probability?</h3>

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Probability of both children receiving a tablet is

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2 years ago
Find all the missing dimensions when a=9, b=13, c=64°
DerKrebs [107]

Answer:

Part 1) c=12.14\ units

Part 2) m\angle A=41.78^o

Part 3) m\angle B=74.22^o

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=9\ units\\b=13\ units\\C=64^o

substitute

c^2=9^2+13^2-2(9)(13)cos(64^o)

c^2=81+169-234cos(64^o)

c^2=250-234cos(64^o)

c^2=147.4212

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step 2

Find the measure of angle A

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}

solve for sin(A)

sin(A)=\frac{sin(64^o)}{12.14}(9)

sin(A)=0.6663

m\angle A=sin^{-1}(0.6663)=41.78^o

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

41.78^o+m\angle B+64^o=180^o

m\angle B+105.78^o=180^o

m\angle B=180^o-105.78^o

m\angle B=74.22^o    

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