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Masja [62]
3 years ago
15

Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where

r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
Mathematics
2 answers:
motikmotik3 years ago
4 0
<span>Tammy rents an apartment close to her school campus. The equation that is given is this one:
r = 355m,
where r is the amount spend on the rent.
m is the number of months.

In order to get the constant proportionality of r to m in this relationship, then we can set a constant k variable.

r = 355 m (k)
k = 1 r / 355 m

1 hour spent, it takes you to spend 355.</span>
Mars2501 [29]3 years ago
3 0

Answer:

355 is the constant of proportionality

Step-by-step explanation:

The direct proportional relationship says that:

y \propto x

then, the equation is of the form is given by:

y = kx   where k is the constant of proportionality.

As per the statement:

Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation :

r = 355 m

where,

r is the amount spent on rent and

m is the number of months she stays in the apartment.

By definition of proportional relationship:

r = 355 m

⇒ k = 355 m

Therefore,  the constant of proportionality (r to m) for this proportional relationship is, 355

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attashe74 [19]

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

1. Reference angle = 70°

Adjacent side = x

Hypotenuse = 6 cm

Apply CAH. Thus,

Cos 70 = adj/hyp

Cos 70 = x/6

6 × cos 70 = x

2.05 = x

x = 2.05 cm

2. Reference angle = 45°

Adjacent side = x

Hypotenuse = 1.3 m

Applying CAH, we would have the following ratio:

Cos 45 = adj/hyp

Cos 45 = x/1.3

1.3 × cos 45 = x

0.92 = x

x = 0.92 m

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6 0
3 years ago
The coordinates of each rectangle ABCD are A (0,2) B (2,4) C (3,3) D (1,1). Find the distance of each side of the rectangle then
EastWind [94]

AB = CD = √8 ≈ 2.8 units

BC = AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = 3.92 units²

Perimeter of the rectangle ABCD = 8.4 units

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Given the coordinates of vertices of rectangle ABCD as:

  • A(0,2)
  • B(2,4)
  • C(3,3)
  • D(1,1)

To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.

Using the distance formula, we have the following:

AB = √[(2−0)² + (4−2)²]

AB = √[(2)² + (2)²]

AB = √8 ≈ 2.8 units

CD = √8 ≈ 2.8 units

BC = √[(2−3)² + (4−3)²]

BC = √[(−1)² + (1)²]

BC = √2 ≈ 1.4 units

AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²

Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

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Read 2 more answers
How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?
kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution  is added

so, we  get solution as

=\frac{60}{100}\times x

=0.6x

we are given

40 liters of a 20% alcohol solution is

=40\times\frac{20}{100}

=40\times\frac{20}{100}

=8

so, total alcohol solution is

=8+0.6x

now, we can find total solutions

total solutions is

=x+40

now, it is making 50% solution

so, we get

\frac{8+0.6x}{x+40} =\frac{50}{100}

now, we can solve for x

\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50

800+60x=50x+2000

10x=1200

x=120

So,

120 liters of 60% alcohol solution is needed

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2 years ago
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