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Kazeer [188]
2 years ago
15

Isabel offers to buy a team photo for 8 of her teammates,

Mathematics
1 answer:
strojnjashka [21]2 years ago
6 0
Ok no problem will do
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A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri
Nataliya [291]

Answer:

  • It is the last graph: solid line, shaded area over the line x = 2 - x/2

Explanation:

1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>

  • Number of sofas: x (given)
  • Number of pillows: 2y (given, since they come in pairs)
  • Number of items = number of sofas + number of pillows = x + 2y
  • Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4

<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>

  • The border line is the equation x + 2y = 4
  • You can choose two points to draw a line
  • Choose the axis-intercepst:

        x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)

        y = 0 ⇒ x = 4 ⇒ point (4,0)

        Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]

  • The shading area is above the line because when you solve for y you get y ≥   2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).

  •  To state that the line is included the graph uses a continous line instead of a dotted one.

<u>3) Conclusion:</u>

That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.

Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.

   

5 0
3 years ago
Read 2 more answers
Eric has a spinner that is divided into different colors colored sections that are the same size and shape on any spin the theor
jeka57 [31]
The answer is 1125(D)
3 0
3 years ago
Simplify each expression completely.<br>7[3+2(x-4)-6(x-4)]
sergeinik [125]

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Ziyad is hoping to start his own lawn care business in Gettysburg, PA. Gettysburg has about 2,400 households. Ziyad went to
Irina-Kira [14]

Answer:

1380 households in Gettysburg are likely interested in using lawn care services

Step-by-step explanation:

To solve this question, we find the sample proportion and estimate for the entire population.

Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?

92 of 92 + 51 + 17 = 160 households.

92/160 = 0.575

Based on his results, how many households in Gettysburg are likely interested in using lawn care services?

Sample proportion of 0.575.

For the entire population of 2400 households:

0.575*2400 = 1380

1380 households in Gettysburg are likely interested in using lawn care services

5 0
2 years ago
Write the ratio in the simplest form 25 to 45
Bond [772]

Answer: 5/9 is the simplified fraction for 25/45 by using the GCD or HCF method. Thus, 5/9 is the simplified fraction for 25/45 by using the prime factorization method.

3 0
2 years ago
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