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n200080 [17]
3 years ago
11

A sporting goods store sells sets of golf clubs with steel shafts for $309. Sets of golf clubs with graphite shafts cost $489. L

ast month the store sold 11 sets of golf clubs for $4,299. How many sets of each type of golf club were sold? Set up and solve a system of equations to find the answer.
A. Write the system of equations.

B. Find the solutions.
Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0
A)

Let s and g be the number of steel and graphite sets sold...then:

s+g=11 and

309s+489g=4299

B)

solving the first for g, g=11-s, then substituting this value of g in the second equation gives you:

309s+489(11-s)=4299

309s+5379-489s=4299

-180s+5379=4299

-180s=-1080

s=6, and since s+g+11

g=5

So the store sold 6 steel sets and 5 graphite sets.
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Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

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Given the linear equation 2x+y=6, perform the necessary operations to put the equation into the proper general form. Include the
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The general form of the given equation is 2x+y-6 = 0.

<u>Step-by-step explanation</u>:

  • The given linear equation is 2x+y=6.
  • The general form of the equation is AX+BY+C=0.

where,

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<u>From the given equation 2x+y=6, it can be determined that</u> :

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The co-efficient of y is 2. It is in the form BY = 1y. Thus, no change is needed.

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