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neonofarm [45]
3 years ago
12

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the t

ens digit and y is the ones digit, which system of equations represents the word problem?
xy = 14 and x - y = 2

x + y = 14 and x - y = 2

x + y = 14 and y - x = 2
Mathematics
2 answers:
Mkey [24]3 years ago
7 0

Answer:

B. x + y = 14 and x - y = 2

Step-by-step explanation:

Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).

Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).

I hope this helps =)

vovangra [49]3 years ago
5 0

Answer:

Option B. will be the answer.

Step-by-step explanation:

If the tens digit is x and ones digit is y, then the number formed will be xy.

Now we fill form the equations as per statements given in the question.

"The difference between tens and unit digits is 2"

x - y = 2 --------(1)

"Sum of the digits of two digit number is 14"

x + y = 14 -------(2)

Therefore, system of equations will be as the given equations 1 and 2.

Option B is the answer.

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Answer:

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Step-by-step explanation:

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I don’t get it I need help solving this math problem I
harkovskaia [24]

Answer:

Step-by-step explanation:

you know the total angle is 180° from A to D

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180=90 + 18 +4x

now solve for X

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so now you know X

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6 0
3 years ago
A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write
sweet-ann [11.9K]

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where  

FC=Fixed cost  = 24,000

pcost=costs  to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where  

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost.  We cover the total cost with the sales.

So,  FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

3 0
3 years ago
Keisha is riding her bike on Bayview Bike path. Keisha‘s bike got a flat tire 2/3 of the way down the path, so she had to stop.
Leona [35]

Answer:

\frac{7}{12} miles.

Step-by-step explanation:

Please consider the complete question.

Bay View Bike Path is 7/8 miles. Keisha is riding her bike on Bay View bike path. Keisha's bike got a flat tire 2/3 of the way down the oath and she had to stop. How far did Keisha ride?

To find the distance covered by Keisha while riding the bike, we need to find 2/3 of 7/8 miles.

\text{Distance that Keisha ride}=\frac{2}{3}\times \frac{7}{8}

\text{Distance that Keisha ride}=\frac{1}{3}\times \frac{7}{4}

\text{Distance that Keisha ride}=\frac{1\times 7}{3\times 4}

\text{Distance that Keisha ride}=\frac{7}{12}

Therefore, Keisha ride \frac{7}{12} miles.

3 0
3 years ago
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t
katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

Correct \Marks= +5

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Score\ Obtained = 30

Number\ of\ correct\ answers = 10

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

Total = +5 * 10

Total = +50\ marks

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

Incorrect = Scores\ Obtained - Total

Incorrect = 30 - (+50)

Open bracket

Incorrect = 30 - 50

Incorrect = -20

Divide this by -2 to get the number of incorrect answers

Incorrect\ Answers = \frac{-20}{-2}

Incorrect\ Answers = 10

Add this to the number of correct answers to give the total number of question answered

Total = Correct\ Answers + Incorrect\ Answers

Total = 10 + 10

Total = 20

<em>Hence, Roy answered a total of 20 questions</em>

3 0
3 years ago
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