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Slav-nsk [51]
3 years ago
7

Vacation Costs - Your family is planning a 7-day vacation in Florida. You estimate that it will cost $275 per day in Tampa and $

400 per day in Orlando. Your total budget for the 7-days is $2,300. How many days do you spend in each location? Systems of equations only
Mathematics
1 answer:
Harrizon [31]3 years ago
3 0

Answer:

3 days in Orlando and 4 days in Tampa

Step-by-step explanation:

Represent Tampa with T and Orlando with L

Given

Cost\ in\ T = 275

Cost\ in\ L = 400

Total = 2300

Days = 7

Required

Solve for T and L

We start by representing the given data, algebraically;

In terms of days:

T + L = 7

In terms of cost:

275T + 400L = 2300

Make T the subject in (1)

T = 7 - L

Substitute in (2)

275(7 - L) + 400L = 2300

1925 - 275L + 400L = 2300

Collect Like Terms

- 275L + 400L = 2300 - 1925

125L = 375

Divide through by 125

L = 375/125

L = 3

Recall that

T = 7 - L

T = 7 - 3

T = 4

<em>This implies 3 days in Orlando and 4 in Tampa</em>

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dlinn [17]

Answer:

c. 5

Step-by-step explanation:

1.5m = 1.5*100 cm = 150 cm

Divide 150 cm by 30 cm,

150/30 = 5

8 0
2 years ago
1/6 + 3/8 <br> A. 4/6<br> B. 4/8 <br> C. 4/14<br> D. 13/24
Naddika [18.5K]

Here is you're answer:

In order to get you're answer you need to find the common denominator then add.

  • \frac{1}{6} + \frac{3}{8}
  • Find the common denominator:
  • CD = 48
  • = \frac{26}{48}
  • Simplify:
  • \frac{26}{48} \div 2 = \frac{13}{24}
  • = \frac{13}{24}

Therefore you're answer is option D "13/24."

Hope this helps!

8 0
3 years ago
a student measured the temperature in degrees celsius for several winter days and recorded the data in a list find the average o
NemiM [27]

Answer:

Average = -1°C

Step-by-step explanation:

The data recorded is;

6, -7, -5, 5, -8, 3 (in °C)

Average = \frac{6 - 7 - 5 + 5 - 8 + 3}{6} = -1°C

8 0
3 years ago
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The fish population in a certain part of the ocean (in thousands of fish) as a function of the water's temperature (in degrees c
kvv77 [185]
The maximum number of fish is going to be p(9) = 200
3 0
3 years ago
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A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 3y 4z = 1 which of these i
Vadim26 [7]

<u>Option C is correct </u><u>(y + z = 6) ⋅ −3</u>

What is a linear equation in math?

  • A linear equation only has one or two variables.
  • No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
  • When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

As per the statement -

A student is trying to solve the system of two equations given below:

Equation P:   y + z = 6              ....[1]

Equation Q:  3y + 4z = 1           ....[2]

Multiply the equation [1] by -3 to both sides we have;

-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)

                   

Add equation [2] and [3] to eliminate the y-term;

z = -17

Therefore, the  possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

<u>The complete question is -</u>

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ 4

(3y + 4z = 1) ⋅ 4

(y + z = 6) ⋅ −3

(3y + 4z = 1) ⋅ 3

6 0
1 year ago
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