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kipiarov [429]
4 years ago
7

Which equation will solve the following word problem? Bob spends an average of $66.42 per week at the grocery store. He spent $6

2.84 last week, and $71.02 this week. How much did Bob spend two weeks ago?
($66.42 +$62.84 + $71.02)/3 = S


S + $62.84 + $71.02/2 = $66.42


$66.42 +$62.84 + $71.02/3 = S


(S + $62.84 + $71.02)/3 = $66.42
Mathematics
1 answer:
Inga [223]4 years ago
8 0

The last equation will solve the word problem --> (S + $62.84 + $71.02)/3 = $66.42

Step-by-step explanation:

<u>Data</u>

Bob's expenditure in week 1: x

Bob's expenditure in week 2: $62.48

Bob's expenditure in week 3: $71.02

Bob's average expenditure: $66.42

<u>Formula to calculate average:</u>

Mean = \frac{Sum of data}{Total number of data}

<u>Solution</u>

Mean = \frac{Sum of data}{Total number of data}

66.42 = \frac{x+62.48+71.02}{3}

66.42*3 = x + 133.5

199.26 - 133.5 = x

x = 65.76

Therefore, Bob spent $65.76 two weeks ago.

The last equation will solve the word problem --> (S + $62.84 + $71.02)/3 = $66.42

Keyword: equation, average

Learn more about equations at

  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

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The Johnson family attends opening day at the tigers stadium for $165, buying two adult tickets and four child tickets. The Robi
ss7ja [257]

Answer:

The answer is that adult tickets cost $44.50 and child tickets cost $19.

Step-by-step explanation:

Let c = the cost of child tickets and a = the cost of adult tickets.

The total amount is equal to the number of adult tickets time the cost of adult tickets plus the number of child tickets times the cost of child tickets. Set up two equations:

2a + 4c = 165

4a + 3c = 235

Solve the top equation for a:

2a + 4c = 165

2a = 165 - 4c

a = 165/2 - 4c/2

a = 82.5 - 2c

Substitute into the second equation:

4a + 3c = 235

4(82.5 - 2c) + 3c = 235

330 - 8c + 3c = 235

-5c = -95

c = -95 / -5 = 19, so child ticket cost $19.

Solve for a:

a = 82.50 - 2c

a = 82.50 - 2(19)

a = 82.50 - 38

a = $44.50, so adult tickets cost $44.50.

Proof using the first equation for the Johnson family:

2a + 4c = 165

2(44.50) + 4(19) = 165

89 + 76 = 165

165 = 165

Proof using the second equation for the Robison family:

4a + 3c = 235

4(44.50) + 3(19) = 235

178 + 57 = 235

235 = 235

8 0
4 years ago
16. PHYSICS The formula h = 1201 - 16t2 gives the height h in feet of an object 1 seconds after it is shot upward from
Murrr4er [49]
<h3><u>Question:</u></h3>

The formula h = 120t-16t^2 gives the height h in feet of an object t seconds after it is shot upward from Earth's surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds?

<h3><u>Answer:</u></h3>

The height of object after 6 seconds is 144 feet

<h3><u>Solution:</u></h3>

<em><u>The formula that gives the height of an object is:</u></em>

h = 120t - 16t^2

Where,

h is the height in feet and t is the time in seconds

To find: height of the object be after 6 seconds

To find the height of the object be after 6 seconds, substitute t = 6

h = 120 \times 6 -16(6)^2\\\\h = 720 - 16 \times 36\\\\h = 720 - 576\\\\h = 144

Thus height of object after 6 seconds is 144 feet

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3 years ago
What fraction is equivalent to 0.997
Katena32 [7]
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What is the value of c so that -9 and 9 are both solutions of x^2+c=103?
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Answer:

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7 0
3 years ago
1.V Diferența a două numere este 38, iar descăzutul este 76. Scăzătorul este:
AysviL [449]

Răspuns:

38

Explicație pas cu pas:

Dat fiind :

Diferența dintre numere = 38

Subtractorul = x

Scădere = 76

Diferența dintre numere;

Scădere - scădere = diferență

76 - scădere = 38

76 - 38 = subtractor

Subtractor = 38

6 0
3 years ago
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