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suter [353]
2 years ago
9

A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each

camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A.
x + y \leqslant 200 \\ 4x + 3y \leqslant 750
B.
x + y \leqslant 750 \\ 4x + 3y \leqslant 200
C.
x + y \leqslant 200 \\ 3x + 4y \leqslant 750
D.
x + y \leqslant 750 \\ 3x + 4y \leqslant 200
​
Mathematics
2 answers:
Sati [7]2 years ago
5 0

Answer:

A.\\\\x+y\leq200\\\\4x+3y\leq750

Step-by-step explanation:

x - number of adults

y - number of campers

<em>The room for 200 people</em>: x + y ≤ 200

<em>Each adult costs $4, and each camper costs $3</em>: 4x and 3y

<em>A maximum budget of $750</em>: 4x + 3y ≤ 750

Bess [88]2 years ago
4 0

Answer:

A)  

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

i just took the test

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A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft, and it weighs 50 lbs. T
Lady_Fox [76]

Answer:

116 units of the first product

380 units of the second product

Step-by-step explanation:

Product 1 has a unit volume of  10 cu ft

Product 2 has a unit volume of 3 cu ft

The truck has 2300 cu ft of space

Product 1 weighs 50 lbs

Product 2 weighs 40 lbs

The truck can carry 21000 lbs

Let X be the units of product 1

Let Y be the units of product 2

The given information can be expressed as:

10X+3Y=2300...(1)

50X+40Y=21000...(2)

Solving the system of equations:

10X+3Y=2300...(1)

10X=2300-3Y

X=(2300-3Y)/10

Substituting X in (2) we have:

50X+40Y=21000

50[(2300-3Y)/10]+40Y=21000

50[(2300/10)-(3Y/10)]+40Y=21000

50[230-(3Y/10)+40Y=21000

11500-(150Y/10)+40Y=21000

11500-15Y+40Y=21000

11500+25Y=21000

25Y=21000-11500

25Y=9500

Y=380

Substituting Y in (1) we have:

10X+3Y=2300...(1)

10X+3(380)=2300

10X+1140=2300

10X=2300-1140

10X=1160

X=116

So 116 units of the first product and 380 units of the second product can be transported in a single shipment with one truck.

8 0
2 years ago
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =
Mila [183]

Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e y= mx+c  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

y= 25+5h

comparing both expression we can see that

25 corresponds to c which is the intercept

6 0
2 years ago
PLEASE HELP MATH EXPAND LOG
blsea [12.9K]

Answer:

½log3 + ½logx

Step-by-step explanation:

½(log(3x))

½(log3 + logx)

½logx + ½log3

8 0
2 years ago
An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of
Alex787 [66]

Answer:

£699 in London

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£1505.63 in New York

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3 0
1 year ago
Calculate cos 0 to two decimal places
Sergio [31]

We can use the law of cosines as follows:

7^2 = 8^2+10^2-2\cdot 8 \cdot 10 \cdot \cos(\theta)

We can rewrite this equation as

49 = 164-160 \cdot \cos(\theta) \iff 160 \cdot \cos(\theta) = 115 \iff \cos(\theta)=\dfrac{115}{160}\approx 0.72

3 0
2 years ago
Read 2 more answers
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