Answer
Find out the how many of each metal did your team win.
To prove
As given
Your team wins 18 medals at a competition.
The metals are gold, silver, and bronze in a ratio of 2:4:3.
Let us assume that x be the scalar multiple of the gold, silver and bronze medal.
Thus
Number of gold medal = 2x
Number of silver medal = 4x
Number of bronze medal = 3x
Than the equation becomes
2x + 4x + 3x = 18
9x = 18
x = 2
Number of gold medal = 2 × 2
= 4
Number of silver medal = 4 × 2
= 8
Number of bronze medal = 3 × 2
= 6
Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.
Answer:
B
Step-by-step explanation:
i hope it helps
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Answer:
-5x+13 given (-x+3)-(4x-10)
Answer:-5x+13
Step-by-step explanation:
We are going to distribute to get rid of the ( ):
-x+3-4x+10
Pair up like terms:
-x-4x+3+10
Combine the like terms:
-5x+13
<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.