Answer:
y = -32
Step-by-step explanation:
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<u>Answer-</u> C. For every extra person served, the time it takes to prepare a meal increases by 7 minutes.
<u>Solution- </u>
<em>y = 7x+25</em>
Where y = the number of minutes it takes to prepare a meal
x = the number of people being served.
If the number of persons increased by one, so x' = (x+1)
Then y' = 7x' + 25 = 7(x+1) + 25 = 7x + 7 + 25 = 7x + 25 + 7 = y + 7
∴ As y gets increased by 7 for every 1 more person , so C is the correct answer.
Answer:
Step-by-step explanation:
Let the cost of the Uber ride be represented by y in dollars.
Let the number of miles that the Uber rides be represented by x.
The equation relating x and y is expressed as
y = 2/3x + 4.
This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.
The cost of a 21 mile ride will be
Substituting x = 21 into the given equation, it becomes
y = 2/3 × 21 + 4 = 14 + 4 = 18
The 21 mile ride costs $18
Part B) The $46 ride will cost
Substituting y = 46 into the given equation, it becomes
46 = 2x/3 + 4 =
46 - 4 = 2x/3
42 = 2x/3
2x = 42 × 3 = 126
x = 126/2 = 63
The $46 ride will be 63 miles
Answer:
The approximate circumference is 62.8 mm
Step-by-step explanation:
Circumference is basically the perimeter of the circle
Circumference is given by
Here the diameter is 20 mm, so the radius will be half of diameter = 10 mm
Substituting the given values, in above equation, we get -
Circumference =
mm
The approximate circumference is 62.8 mm
<span>Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
</span><span>Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F, or 4th person's age = -32/-1, or 32
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