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djverab [1.8K]
2 years ago
9

PLEASE SOLVE THE QUESTION BELOW

Mathematics
1 answer:
valkas [14]2 years ago
6 0

Answer:

There are 4 chairs in one row.

Step-by-step explanation:

Let $ x $ be the number of chairs in one row.

That is the length of one row.

Now, from the given data, three rows of length 3x can be formed with one chair left.

Or, if 15 extra chairs given, we can form 7 rows of the same length.

This means that there are $ 3x + 1 $ chairs in the first case. And since with 15 extra chairs we can form 7 rows, the equation would be

$ (3x + 1) + 15 = 7x $

Solving this for '$ x $', we get:

$ 3x + 16 = 7x $

$ \implies 4x = 16 $

$ \implies x = 4 $

Therefore, the length of each row is four.

That is, there are four chairs in one row.

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At a regional soccer​ tournament, tickets for two adults and seven students cost ​$42. Tickets for three adults and eleven stude
tatiyna

The cost of adult ticket is $7 and child ticket is $4.

Step-by-step explanation:

Let,

Price of one adult ticket = x

Price of one child ticket = y

According to given statement;

2x+7y=42    Eqn 1

3x+11y=65   Eqn 2

Multiplying Eqn 1 by 3

3(2x+7y=42)\\6x+21y=126\ \ \ Eqn\ 3

Multiplying Eqn 2 by 2

2(3x+11y=65)\\6x+22y=130\ \ \ Eqn\ 4

Subtracting Eqn 3 from Eqn 4

(6x+22y)-(6x+21y)=130-126\\6x+22y-6x-21y=4\\y=4

Putting y=4 in Eqn 1

2x+7(4)=42\\2x+28=42\\2x=42-28\\2x=14\\

Dividing both sides by 2

\frac{2x}{2}=\frac{14}{2}\\x=7

The cost of adult ticket is $7 and child ticket is $4.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10538663
  • brainly.com/question/10557275

#LearnwithBrainly

7 0
3 years ago
What is the value of x given that figure ADCB
aleksley [76]

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

6 0
3 years ago
Read 2 more answers
Find the equation of the line through point (1,5) and perpendicular to +3=6 x (e.g. 1/2 for 12
vovangra [49]

Answer:

YFHKIMEDAIOUKIMENAUODIOOSHIETIAOKURETAAAAA

Step-by-step explanation:

7 0
3 years ago
For the food described, find what percent of total calories is from fat. If necessary, round
topjm [15]
45 is what percent of 190
45/190 = 0.2368
Make it into a percentage
0.2368 * 100 = 23.7
23.7% of the food is from fat
3 0
3 years ago
Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). after copying the problem correctly she uses the Properties of Algebra to s
astra-53 [7]

Answer:

x=49

Step-by-step explanation:

2(3x+1)=3(2−x)

Step 1: Simplify both sides of the equation.

2(3x+1)=3(2−x)

(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)

6x+2=6+−3x

6x+2=−3x+6

Step 2: Add 3x to both sides.

6x+2+3x=−3x+6+3x

9x+2=6

Step 3: Subtract 2 from both sides.

9x+2−2=6−2

9x=4

Step 4: Divide both sides by 9.

9x9=49

x=49

3 0
3 years ago
Read 2 more answers
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