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Mariana [72]
2 years ago
6

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1) or 125 wiffle balls (x2) can be p

roduced per hour of labor, which of the following constraints reflects this situation?
a. 300x1 + 125x2 > = 4,000
b. 300x1 + 125x2 < = 4,000
c. 425(x1 + x2) < = 4,000
d. 300x1 + 125x2 = 4,000
Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Answer:

b. 300x1 + 125x2 < = 4,000

Step-by-step explanation:

Maximum of 4,000 hours

This means that the the total amount of labor has to be of at most 4,000, that is:

T \leq 4000

300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor

The total amount of labor is:

T = 300x1 + 125x2

Uniting the two equations:

T \leq 4000

300x1 + 125x2 \leq 4000

And thus the correct answer is given by option b.

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The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?
zysi [14]

Answer:

Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138

Step-by-step explanation:

360 - 222 = 138

the answer to your question is 138degrees.

For any shape the exterior angles will always add up to 260 degrees.

Hope this helps in the future!

5 0
3 years ago
Read 2 more answers
A healthy human heart beats about 1,533,000 times a year. A sparrow's heart beats about 241,776,000 times in a year. About how m
Galina-37 [17]

Answer:

About 158 times

Step-by-step explanation:

Represent the rate of human heart with H and sparrow's heart with S

H = 1,533,000\ times

S = 241,776,000\ times

Required

Determine how many times faster is S than H

To do this, we simply divide S by H i.e.

Number = \frac{S}{H}

Number = \frac{241,776,000}{1,533,000}

Number = 157.714285714

Number = 158 --- approximated

<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>

5 0
2 years ago
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
OUT OF A RATIO OF ONE TO TEN, WHAT IS ONE? EXPLAIN.
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One is the amount you have, also  its the numerator 
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3 years ago
Ax+by+c=0 solve for y
kvv77 [185]

Answer: \large\boxed{y=\frac{-ax}{b} -\frac{c}{b}}

Step-by-step explanation:

ax+by+c=0\\ax+by=-c\\by=-ax-c\\y=\frac{-ax-c}{b}\\y=\frac{-ax}{b} -\frac{c}{b}

8 0
2 years ago
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