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PtichkaEL [24]
2 years ago
13

Billy had 55 stamps in his collection. billy’s older brother tommy had 73 stamps in his collection. how many stamps did the two

brothers have together?
Mathematics
1 answer:
Rudik [331]2 years ago
6 0
No.of stamps Billy had = 55

Number of stamps Billy's older brother had = 73

So total number of stamps two brother have together = 73 + 55
                                                                                     = 128

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a lunch stand makes a $.75 profit on each chef's salad and $1.20 profit on each caesar salad. On a typical weekday, it sells bet
tangare [24]

Answer:

<em>50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.</em>

Step-by-step explanation:

Suppose, the number of Chef's salad is x and the number of Caesar salad is y

On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.

So, the two constraints are:  40\leq x\leq 60 and  35\leq y\leq 50

The total number sold has never exceed 100 salads. So, another constraint will be:   x+y\leq 100

According to the graph of the constraints, the vertices of the common shaded region are:  (40,35), (60,35), (60,40), (50,50) and (40,50)   <em>(Refer to the attached image for the graph)</em>

The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be:  P=0.75x+1.20y

For  (40, 35) ,   P=0.75(40)+1.20(35)=72

For  (60, 35) ,   P=0.75(60)+1.20(35)=87

For  (60, 40) ,   P=0.75(60)+1.20(40)=93

For  (50, 50) ,   P=0.75(50)+1.20(50)=97.5 <u><em>(Maximum)</em></u>

For  (40, 50) ,   P=0.75(40)+1.20(50)=90

Profit will be maximum when x=50 and y=50

Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

6 0
2 years ago
The area of a rectangular banquet call is 7400 ft.². The length of one side of the hall is 82 feet. Explain how you can use comp
kiruha [24]

Answer:

Compatible width of rectangular banquet hall could be 90 feet approximately.

Step-by-step explanation:

Given

Area of a rectangular banquet hall = 7400 square feet

Length of rectangular banquet hall = 82 feet

We need to calculate width of the rectangular banquet hall.

Now Area of rectangle is equal to length times width.

Framing in equation form we get;

Area\ of \ Rectangle= length \times width

Substituting the given values we get;

82 \times width = 7400\\\\width = \frac{7400}{82} = 90.2439

Now by definition of Compatible numbers which state that:

"Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.  Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier."

Now By Using width as 90 feet and length as 82 feet we get area as 7380 sq ft. which is closet to actual area which is 7400 sq ft.

Hence we can say compatible width could be 90 feet approximately.

5 0
2 years ago
Write the expression n.n.p.p.r.r.r
borishaifa [10]

Answer:

2n.2p.3r

Step-by-step explanation:

idk

7 0
2 years ago
108 identical books have a mass of 30 kg,find the mass of 150 such books
snow_lady [41]

Answer:

150 * 0.27777777778 kg = 41.666666667 kg.

7 0
2 years ago
Using the chart above, find the state withholding tax for the following unmarried person. Mary Smith, salary $342, 2 exemptions
dmitriy555 [2]

Answer: 6.76


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3 0
2 years ago
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