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Luda [366]
3 years ago
14

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

1/2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 30 per day, and the maximum number of painting hours available is 9 per day. (a) Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced. (Let x represent the number of deluxe models, and let y represent the number of economy models.)
Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

3x + 2y ≤ 30

0.5x + y ≤ 9

Step-by-step explanation:

Number of deluxe model = x

Number of economy models = y

Assembly hours :

Maximum hours = 30

Deluxe model = 3 hours

Economy model = 2 hours

3x + 2y ≤ 30

Painting :

Maximum hours = 9

Deluxe model = 1/2 = 0.5 hours

Economy model = 1 hours

0.5x + y ≤ 9

Therefore the inequality constraints are:

3x + 2y ≤ 30

0.5x + y ≤ 9

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Bingel [31]
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Answer is C
8 0
3 years ago
Solve the following system of equations by the substitution method.
ruslelena [56]
5x = y + 6 (I)
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 → x =  \frac{y+6}{5}

Soon:
2x - 3y = 4 → 2* (\frac{y+6}{5}) - 3y = 4\to \frac{2y+12}{5} - 3y = 4
<span>least common multiple (5)
</span>\frac{2y+12}{5} - 3y = 4\to \frac{2y+12}{\diagup\!\!\!\!\!5} - \frac{15y}{\diagup\!\!\!\!\!5} = \frac{20}{\diagup\!\!\!\!\!5}
2y + 12 - 15y = 20
- 15y + 2y = 20 - 12
- 13y = 8
\boxed{\boxed{y = - \frac{8}{13} }}\end{array}}\qquad\quad\checkmark


4 0
3 years ago
What is 31/87 as a percentage?<br> Give your answer rounded to one decimal place.
kicyunya [14]

Answer:

35.6%

Step-by-step explanation:

31/87(100)

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35.6%

8 0
3 years ago
Read 2 more answers
Evaluate the following <br><br>2/3 + 11/3 – 1/3​
arsen [322]

Answer:

12/3 which is =4

Step-by-step explanation:

for adding fractions you keep the denominator the same and just add or subtract the numerators

2+11-1=12

6 0
2 years ago
Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
maxonik [38]
To solve for this we will follow PEMDAS to arrive at the correct answer so we have the following:
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Based on calculations the correct answer is A
7 0
3 years ago
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