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Drupady [299]
2 years ago
5

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

ses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chaneece found the correct solution. If not, state the correct solution.
Mathematics
2 answers:
MaRussiya [10]2 years ago
7 0
Chaneece found the correct solution.
Sophie [7]2 years ago
6 0

Answer:

The answer is B

He mixed up the variables

Step-by-step explanation:


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a phone company offers a monthly data plan at for $10 a month . the plan includes two megabytes of data and charges $0.10 per me
tatuchka [14]

Answer:

\ m(x) = \{ {{10, if x\leq 2} \atop {0.1x + 9.8, if x>2}} \right.

Step-by-step explanation:

  • One off charge = $10
  • Charge for data over 2 Mb is =  $0.10 per MB

<u>The monthly charge for x MB data is:</u>

1 . Data ta used up to 2 Mb

  • $10  

2 . Data used more than 2 Mb

  • m(x) = 10 + 0.1(x - 2) = 10 + 0.1x - 0.2 = 0.1x + 9.8
  • m(x) = 0.1x + 9.8

So the function is:

  • \ m(x) = \{ {{10, if x\leq 2} \atop {0.1x + 9.8, if x>2}} \right.
5 0
2 years ago
A radio station spends 1/40 of each 24 hours on public service announcements. How much time is spent on public service announcem
mihalych1998 [28]
Start by calling the time spend on announcements 'A'. We can then set up an equation to represent the problem:

A=24hours \times \frac{1}{40}

and then solve by multiplication to get:

A=0.6hours

We could also convert this into minutes:

A=0.6hours \times \frac{60mins}{1hour} = 36mins


8 0
2 years ago
Read 2 more answers
∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The c
Ivenika [448]

Answer:

A'(-2, 1), B'(1, 0), C'(-1, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).

If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)

From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)

If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)

If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)

7 0
2 years ago
: The You Move It Company (YMI) advertises that the cost to rent a ​moving truck for one day is $40 plus $1.99 for each mile the
mars1129 [50]

Part A: For 100 miles, the cost will be same for both companies.

Part B: Alex should use Drive and Move company as it will cost him less money.

Step-by-step explanation:

Given,

Starting amount of YMI= $40

Per mile charges = $1.99

Let,

x be the number of miles.

y be the total charges.

y = 1.99x+40    Eqn 1

Starting amount of DM = $60

Per mile charges = $1.79

y=1.79x+60    Eqn 2

Part A:

For same charges;

Eqn 1 = Eqn 2

1.99x+40=1.79x+60\\1.99x-1.79x=60-40\\0.20x=20

Dividing both sides by 0.20

\frac{0.20x}{0.20}=\frac{20}{0.20}\\x=100

For 100 miles, the cost will be same for both companies.

Part B:

Total miles = x = 150

Putting x=150 in Eqn 1

y=1.99(150)+40

y=298.5+40

y=$338.50

Putting x=150 in Eqn 2

y=1.79(150)+60

y=268.5+60

y=$328.50

Alex should use Drive and Move company as it will cost him less money.

4 0
2 years ago
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams o
vitfil [10]
490*x + 700*y ≤ 4000

It is ≤ as it can either be equal to 4000 per week or less than.

Footnote: Burritos are awesome
4 0
2 years ago
Read 2 more answers
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