1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DerKrebs [107]
3 years ago
7

In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points

than the Hornets. Together the three teams scored 184 points. Let x represent the number of points scored by the Hornets. Complete the steps to solve the equation (3x – 9) + x + (x + 28) = 184. Then answer the question. 1. Combine like terms. 2. Use the subtraction property of equality. 3. Use the division property of equality. 4. Use the variable to answer the question. How many points did the Bees score? points

Mathematics
2 answers:
dangina [55]3 years ago
8 0

The Bees scored 90 points

\texttt{ }

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

\texttt{ }

<em>Let:</em>

<em>The number of points scored by the Hornets = x</em>

<em>The number of points scored by the Bees = y</em>

<em>The number of points scored by the Wasps = z</em>

/texttt{ }

<em>The Bees scored 9 less than three times as many points as the Hornets.</em>

y = 3x - 9

<em>The Wasps scored 28 more points than the Hornets.</em>

z = x + 28

<em>Together the three teams scored 184 points.</em>

y + x + z = 184

(3x - 9) + x + (x + 28) = 184

3x + x + x - 9 + 28 = 184 → <em>1. Combine like terms</em>

5x - 9 + 28 = 184

5x + 19 = 184

5x + 19 - 19 = 184 - 19 → 2<em>. Use the subtraction property of equality</em>

5x = 165

5x \div 5= 165 \div 5 → 3<em>. Use the division property of equality</em>

x = 33

\texttt{ }

y = 3x - 9

y = 3(33) - 9 → <em>4. Use the variable to answer the question</em>

y = 99 - 9

y = 90

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

Alinara [238K]3 years ago
4 0

Answer:

  • <u>The Bees scored 90 points.</u>

Explanation:

First, let's prove that the equation is correct.

To create the equation, you translate the verbal statements into algebraic expressions.

Since, it is said that x respresents the number of points scored by the Hornets, that is your variable and all the verbal statements will be translated using x:

a) NUmber of points scored by the Hornets: x

b) The Bees scored 9 less than three times as many points as the Hornets ⇒v3x - 9

c) The Wasps scored 28 more points than the Hornets ⇒ x + 8

d) Together the three teams scored 184 points ⇒

 

  • x + (3x - 9) + (x + 28) = 184

Which indeed is the given equation: (3x – 9) + x + (x + 28) = 184

Now, complete the steps to show it, in the same order given:

<u>1. Combine like terms. </u>

  • Remove the parenthesis: x + 3x - 9 + x + 28 = 184

  • Combine the terms on x on the left: x + 3x + x = 5x

  • Combine the constants on the left: - 9 + 28 = 19

  • Write the result: 5x + 19 = 184

<u>2. Use the subtraction property of equality. </u>

  • Subtract 19 from both sides: 5x + 19 - 19 = 184 - 19

  • Due the operations: 5x = 165

<u>3. Use the division property of equality. 4. </u>

  • Divide both sides by 5: (5x / 5) = 165 / 5

  • Due the operations: x = 33

<u>4. Use the variable to answer the question. How many points did the Bees score?</u>

  • The expression for the points scored by the Bees is 3x - 9, so substitute x in that expression: 3 (33) - 9 = 99 - 9 = 90.

  • Answer: the Bees scored 90 points.
You might be interested in
Urgent!! Find an equivalent rational expression in lowest terms and identify the domain
JulsSmile [24]
1) domain: x cannot be -1/3, 0
2) domain: m cannot be 4/3, -7/2
3) domain: m cannot be 3

3 0
3 years ago
Four statements are given below.
goldfiish [28.3K]

Answer:

I and III

Step-by-step explanation:

mark me as brainliest

4 0
3 years ago
Our pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The
Zigmanuir [339]

Step-by-step explanation:

x=width of pool

2x=length of pool

the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4

the area of this rectangle minus the area of the pool is 196 square feet

(2x+4)(x+4)-(x)(2x)=196

2x^2+4x+8x+16-2x^2=196

combine similar terms

12x+16=196

12x=196-16

12x=180

x=180/12

x=15 feet is the width of the pool

check: 34*19-30*15=196

646-450=196

196=196

8 0
3 years ago
Solve for x: −10x+5= -6x-35
Makovka662 [10]
X= 10 I did it on my calculator so don’t worry :)
5 0
3 years ago
Read 2 more answers
How many fluid ounces of water will a 6-cup measuring cup hold ?
Dafna11 [192]
48 fluid ounces. There's 8 oz in one cup:)
4 0
3 years ago
Read 2 more answers
Other questions:
  • what is the Best way to do math problem like geometry, angle problems, circumference and other things like that ?
    9·2 answers
  • If sin(2x) = cos (x + 30%), what is the value of x?!
    7·1 answer
  • 1 + 1? <br> .......……………………
    11·2 answers
  • What is the solution the this equation? solve using linear combination method:
    12·1 answer
  • Solve x+2=1/2x-1 Please hurry!
    7·1 answer
  • The owner of a shoe store wanted to determine whether the average customer bought more than $100 worth of shoes. She randomly se
    14·1 answer
  • At a charity fundraiser, adult tickets were sold for $7 each and children's tickets were sold for $2 each Write an algebraic exp
    15·1 answer
  • What would the answer for this question be
    9·1 answer
  • I need Answer Immediately!!!!!!
    10·1 answer
  • Is my answer correct?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!