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Aleksandr-060686 [28]
3 years ago
7

Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. Th

ey won 12 more games than they tied. How many wins and how many ties did the team​ have?
Mathematics
1 answer:
german3 years ago
3 0

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. They won 12 more games than they tied.

To Find: How many wins and how many ties did the team​ have.

Solution:

let the number of wins hockey team have =\text{x}

let the number of ties hockey team have   =\text{y}

Now,

Hockey teams receive 2 points when they win and 1 point when they tie.

2\text{x}+\text{y}=66

They won 12 more games than they tied

\text{x}-\text{y}=12

Solving both equations we get

\text{x}=26

\text{y}=14

Hence, the hockey team have 26 wins and 14 ties.

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a chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth is used in one serving of soup?
mafiozo [28]
Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.

x= amount of broth in one serving

(4 3/4)/10= x/1
cross multiply

(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction

(19/4)(1)= 10x

19/4= 10x
divide both sides by 10

19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10

19/4 * 1/10= x
multiply numerators; multiply denominators

(19*1)/(4*10)= x

19/40 cup= x


ANSWER: 19/40 cup in one serving

Hope this helps! :)
4 0
3 years ago
20 points
irinina [24]

Answer:

(a) 9x^2+16x-4

(b) 9a(2a+5)

(c) (y-6)(y-4)

Step-by-step explanation:

(a)

(9x-2)(x+2)=

9x^2-2x+18x-4=

9x^2+16x-4

(b)

18a^2+45a=

9a(2a+5)

(c)

y^2-10y+24=

(y-6)(y-4)

Hope this helps!

4 0
3 years ago
How do you solve this?
olasank [31]

Answer:

no clue sorry

Step-by-step explanation:

3 0
3 years ago
I really need help please (links will be reported)
mrs_skeptik [129]

Answer: all the ones that do not have a negative sign in front easy.

7 0
3 years ago
Shelby made 5 quarts of juice for a picnic .She said that she made1 1/4 of juice/Explain Shelby's mistake
Svetach [21]
<span>1 gallon= 4 quarts 

She made 5 quarts of juice, that means that she has 1 gallon (4 quarts) and one quart left over!
which can be written as 1 1/4!
</span>
8 0
3 years ago
Read 2 more answers
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