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faust18 [17]
4 years ago
15

Three friends are riding bicycles in a race. Sergio is 1.8 mi ahead of John. Albert is 0.5 mi behind Sergio. If John has ridden

7.5 miles, how far has Albert ridden?
Mathematics
1 answer:
Ilia_Sergeevich [38]4 years ago
3 0
Albert has ridden 1.3 mi
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A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair ut
miskamm [114]

Answer:

a) 50S + 30C ≤ 800

b) 1) MAX = S + C

   2) Max = 0.03S + 0.05C

   3) Max = 6S + 5C

Step-by-step explanation:

Given:

Total space = 800 square feet

Each sofa = 50 square feet

Each chair = 30 square feet

At least 5 sofas and 5 chairs are to be displayed.

a) Write a mathematical model representing the store's constraints:

Let S denote number of sofas displayed and C denote number of chairs displayed.

The mathematical model will be:

50S + 30C ≤ 800

At least 5 sofas are to be dispayed: S ≥ 5

At least 5 chairs are to be displayed: C ≥ 5

b)

1) Maximize the total pieces of furniture displayed:

S + C = MAX

2) Maximize the total expected number of daily sales:

MAX = 0.03S + 0.05C

3) Maximize the total expected daily profit:

Given:

Profit on sofas = $200

Profit on chairs = $100

Max Expected daily profit =

Max = (200S * 0.03) + (100C * 0.05)

<em>Max = 6S + 5C</em>

6 0
3 years ago
Triangle A is a 45-45-90 triangle and has leg length of 5.
Mashcka [7]

Answer:

this is the answer please give brainliest

4 0
3 years ago
 1/ 8  +  4/ 8  (Brainly says its "too short" so yeah this is why that is here) :)
g100num [7]

1/4+4/8

Add the numerator first

The denominator will be the same

= 5/8

Answer:5/8

By the way, you cannot reduce the answer.

8 0
3 years ago
What is 3(a-7) simplifyed
Dovator [93]

Answer:

3a - 21

Step-by-step explanation:

Given

3(a - 7)

Required

Simplify

To do this, we apply distributive property;

3(a - 7)= 3 * a - 3 * 7

3(a - 7)= 3a - 21

Hence, the simplified form is 3a - 21

7 0
3 years ago
Evaluate: 461 ÷ 10 to the third power
mr_godi [17]

Answer:

461 divided by 10^3 is 0.461.

Step-by-step explanation:

Hope this helps and I hope u have an Amazing day!!

5 0
3 years ago
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