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VladimirAG [237]
2 years ago
9

A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are t

here at the party?"
Let b represent the number of boys

Which expression represents the number of girls?

A: b - 5
B: b + 5
C: 5 - b
D: b · 5
Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

b + 5

Step-by-step explanation:

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WINSTONCH [101]

Answer:

Minimize:    Cost = 40X+35Y

Subject to:  2X + 2Y ≥ 12

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Step-by-step explanation:

To formulate a linear programming model we need to identify the variables of decision, the objective functions and the constraints.

So, the variables of decision are the quantity of every vitamin mix and we are going to call:

X: The quantity of vitamin mix 1

Y: The quantity of vitamin mix 2

Our objective function is going to be minimize the cost of the both mixes, so, the objective function is:

Minimize Cost = 40X + 35Y

Because vitamin mix 1 cost $40 and vitamin mix 2 cost $35

Finally, the constraints are defined by the following sentence: both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Ot means that we have a constraint for vitamin B and a constraint for vitamin C.

Then if Vitamin mix 1 contains 2 units of vitamin B and vitamin mix 2 contain 2 units of vitamin B, the constraint associated to vitamin B is:

2X + 2Y ≥ 12

And, if Vitamin mix 1 contains 5 units of vitamin C and vitamin mix 2 contain 3 units of vitamin C, The constraint associated to vitamin C is:

5X + 3Y ≥ 15

So, the linear programing model is:

Minimize:    Cost = 40X+35Y

Subject to:  2X + 2Y ≥ 12

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7 0
2 years ago
Write an equivalent expression for 5(-2x - 3)
bazaltina [42]

Step-by-step explanation:

5(-2x - 3)

-10x -15

-(10x +15)

4 0
3 years ago
Find the distance between the points (<br> -<br> 10,12) and (15,12).
Nitella [24]
The distance formula is:

d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

We are given two points in the form (x,y), so plug in the values to the distance formula:

d= \sqrt{(-10-15)^2-(12-12)^2}

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

d= \sqrt{(-25)^2}

The square and square root cancel each other out leaving us with 25.

The answer is 25.


5 0
2 years ago
Add one and one tenths equals three and one half
navik [9.2K]

Answer: 12/5  or  2  2/5

Step-by-step explanation: 7/2 - 11 /10

6 0
3 years ago
Simplify this expression: 5/8m + 9 - 3/8m - 15
BlackZzzverrR [31]

Answer:   -   24m-1 / 4m

Step-by-step explanation:

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