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Leya [2.2K]
3 years ago
11

Anita and Joelle bowled together and their combined total score for one game was 425 points. Anita’s score was 40 less than twic

e Joelle’s. What were their scores? Write a system of equations to model the problem if x represents Joelle’s score and y represents Anita’s score.
Mathematics
1 answer:
wariber [46]3 years ago
6 0
Call Anita's score "y" and Joelle's score "x".

1) "<span>their combined total score for one game was 425 points"
</span>Therefore x+y=425

2)"Anita’s score was 40 less than twice Joelle’s." 
Therefore y=2x-40

Substitute:
x+2x-40=425

Solve:
3x=465
x=155

Backsubstitute:
y=2x-40
y=2(155)-40
y=270

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What is the solution to the equation 6n+7=55
weeeeeb [17]

Answer:

n = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

6n + 7 = 55

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 7 on both sides:                    6n = 48
  2. Divide 6 on both sides:                       n = 8

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it's a solution.</em>

  1. Substitute in <em>n</em>:                    6(8) + 7 = 55
  2. Multiply:                               48 + 7 = 55
  3. Add:                                     55 = 55

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

7 0
3 years ago
Read 2 more answers
Whats the answer and equation to Two more than four times a number is -10
Artist 52 [7]

2+4a=-10

First, subtract 2 from both sides.

4a=-12

Then divide 4 from both sides.

a=-3

hope it helps!

3 0
3 years ago
How do I solve this problem?<br> -17=2x+7
Airida [17]
Answer
x=-12
Explanation

Move the terms
-17-2x=7

Add the numbers
-2x=24

Divide both sides of the equation by -2
x=-12

Hope this helps:)
4 0
3 years ago
Triangle KML and triangle PRQ are shown in the figure belowK404008 cms4 cms10 cmsOL3 cms6 cmsRM17) Are these triangles similar?1
s2008m [1.1K]

Two triangles are similar if the only difference between them is the size, this means that their internal angles must be the same. If we look at the picture the first triangle has one angle equal to 40 degrees, one equal to 80 degrees and the third one is unkown (x). The second triangle has one angle equal to 40 degrees, one equal to 60 degrees and the third one is unkown (y). The sum of the internal angles of a triangle must be equal to 180 degrees, with this information we can find the values of the missing angles. We have:

\begin{gathered} 40+80+x=180 \\ 120+x\text{ = 180} \\ x\text{ = 180-120=60} \end{gathered}\begin{gathered} 40+60+y=180 \\ 100+y=180 \\ y=180-100=80 \end{gathered}

Therefore the internal angles of the first triangle are (40,80,60) and the angles of the second triangle are (40,80,60) as well, therefore they are similar.

Two triangles are congruent if they have sides with the same length. Which is not the case, because the sides of one triangle is (8, 10, 6) while the other is (4,3 and unkown). Therefore they are not congruent.

8 0
1 year ago
A=bh2
Stolb23 [73]
Your answer would be <span>30 m²!

: D</span>
8 0
3 years ago
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