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Olegator [25]
3 years ago
12

Jerome burns 4 cal/min walking and 10 cal/min running. He walks between 10 and 20 min each day and runs between 30 and 45 min ea

ch day. He never spends more than an hour running and walking together. How much time should he spend on each activity to maximize his calorie burning?

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

20 minutes should spend on walking and 30 minutes on running.

Step-by-step explanation:

Let x represents the minutes spent on walking and y represents the minutes spent on running,

∵ He burns 4 cal/min walking and 10 cal/min running,

So, the total calories burnt,

Z = 4x + 10y

Which has to be maximised.

Now, he walks between 10 and 20 min each day,

i.e. 10 < x < 20,

Also, he runs between 30 and 45 min each day,

i.e. 30 <  y < 45,

By graphing 10 < x < 20 and 30 <  y < 45,

We obtained the vertices of feasible region,

(10, 45), (20, 45), (10, 30) and (20, 30)

At (10, 45),

Z = 4(10) + 10(45) = 40 + 450 = 490,

At (20, 45),

Z = 4(20) + 10(45) = 80 + 450 = 530,

At (10, 30),

Z = 4(10) + 10(30) = 40 + 300 = 340,

At (20, 30)

Z = 4(20) + 10(30) = 80 + 300 = 380

Hence, maximum calories is 530 when 20 minutes spent on walking and 30 minutes spent on running.

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Nathan is itemizing deductions on his federal income tax return and had $5800 in his medical expenses last year. If his AGI was
victus00 [196]

Multiply his AGI by 7.5% to find the amount medical needs to meet before deducting:


46,000 x 0.075 = $3,450


He can deduct any amount over $3450.

Subtract that from his medical total to find the amount he can deduct:


5800 - 3450 = 2350


He can deduct $2,350.


6 0
3 years ago
Read 2 more answers
At the soup to nuts cafeteria, larry orders two pieces of toast and a bagel, which comes out to $\$1.30$. Curly orders a bagel a
kotegsom [21]

Let us take costs of a piece of toast = $t, , one bagel cost=$b and a muffin cost=$m.

Larry

Two pieces of toast and a bagel cost  = $1.30

2t+b=1.30   -------------equation(1)

Let us solve the equation(1) for t in terms of b, because we need to find one bagel cost.

Subtracting b from both sides we get

2t+b-b=1.30-b

2t= 1.30-b

Dividing by 2 on both sides.

2t/2= (1.30-b)/2

t= (1.30-b)/2

Curly

A bagel and a muffin cost = $2.50.

b + m = 2.50 -------------equation(2)

Solving equation for m in terms of b, we get

m= 2.50-b.

Moe

A piece of toast, two bagels, and three muffins cost = $6.95

t + 2b + 3m = 6.95    ......................equation(3).

Substituting t= (1.30-b)/2 and m= 2.50-b in equation (3)

(1.30-b)/2 + 2b + 3(2.50-b) = 6.95 .

Multiplying each term by 2 to get rid 2 from denominator of (1.30-b).

2*(1.30-b)/2 + 2*2b + 2*3(2.50-b) = 2*6.95

1.30-b + 4b + 6(2.50-b) = 13.90.

1.30 - b + 4b  +15 - 6b = 13.90

Combining like terms

-3b +16.30 = 13.90

Subtracting 16.30 from both sides.

-3b +16.30-16.30 = 13.90-16.30.

-3b= -2.4

Dividing both sides by -3.

-3b/-3 = -2.4/-3

b = 0.8

Therefore, cost of one bagel = $0.80.

7 0
3 years ago
How to solve this question
cupoosta [38]
8.83176088663 is the answer
7 0
3 years ago
Plz help me this one is a lil tough
Aneli [31]

Answer:

100 degrees

Step-by-step explanation:

It's going through 140 and 40, 180 - 40 = 140

180 cause a flat line is 180 degrees

8 0
3 years ago
Read 2 more answers
Look at photo please
amm1812

Answer:

A

Step-by-step explanation:

combining 10² and 10² makes 10⁴.

combining 1.5 and 1 makes 2.5.

so you have 10⁴ x 2.5, which is the same as the part on the other side of the equals symbol, making the equation true. All the other equations are false.

5 0
3 years ago
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