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eimsori [14]
3 years ago
11

Help me with this question please!!!

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0
D) reflect triangle 2 across the y-axis and rotate 90˚ about the origin.
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1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v
geniusboy [140]

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0
3 years ago
Simplify:- ~~~~~~~
Alchen [17]

\sf \dashrightarrow \:  -  \frac{2}{5}  - ( -  \frac{3}{10} ) - ( -  \frac{4}{7} )

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

\sf \dashrightarrow \:  -  \frac{2}{5}    + \frac{3}{10}  +  \frac{4}{7}

Calculate the LCM of denominators

\sf\frac{ - 28 + 21 + 40}{70}

Calculate the difference

\bf \underline{ \underline \frac{33}{70} }

7 0
2 years ago
Read 2 more answers
If the sum of two numbers is 15 and their product is 50 what are they
Westkost [7]
Xy = 50
x + y = 15

x = 15 - y

xy = 50

(5 - y)y = 50

5y - y^2 = 50

y^2 - 5y + 50 = 0

(y - 5)(y - 10) = 0

y - 5 = 0 or y - 10 = 0

y = 5 or y = 10

x + y = 15

For y = 5: 

x + 5 = 15

x = 10

For y = 10

x + 10 = 15

x = 5

Answer: the numbers are 5 and 10.

5 0
3 years ago
a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rai
Bas_tet [7]

Answer: 5in

Step-by-step explanation:

1/3x8/8=8/24

1/8x3/3=3/24

8-3=5

4 0
2 years ago
Which of the following systems of linear equations has no solution?
yanalaym [24]
None of the above!!!!!!
8 0
3 years ago
Read 2 more answers
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