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mars1129 [50]
3 years ago
15

Cisco wants to purchase three items at the sporting goods store. The items he wants to buy are football pants for $21.99, footba

ll pads for $25.95,and football cleats for $25.49. How much will the three items cost?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer: \$73.43

Step-by-step explanation:

According to the information provided in the exercise, the prices of each item he wants to purchase in the sporting goods store are:

Football\ pants=\$21.99\\\\ Football\ pads=\$25.95\\\\Football\ cleats=\$25.49

Therefore you need to add these prices to solve this exercise. The sum will be the total cost for these three items.

You get that the sum is:

Total\ cost=\$21.99+\$25.95+\$25.49\\\\Total\ cost=\$73.43

Then, the three items that Cisco wants to purchase will cost $73.43.

You might be interested in
A sports team donates 252 tickets to a sporting event, with tickets to be shared equally among 9 classrooms. How many tickets do
Tcecarenko [31]

Answer:

28 tickets

Step-by-step explanation:

252/9=28

8 0
2 years ago
Chistopher is 20 years younger than ishaan. Ishaan and chistopher first met two years ago. Fourteen years ago, ishaan was 3 time
lisabon 2012 [21]

Answer:

Ishaan is 49 years old.

Step-by-step explanation:

Let the present age of Christopher be 'C'.

Let the present age of Ishaan be 'I'.

From the given data, we can form equations which will help us solve the problem.

Christopher is 20 years younger than Ishaan. This means:

C = I - 20                  . . . (1)

Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.

From the data, I - 14 = 3(C - 14)         . . . (2)

Substituting the value of C in Equation 2, we get:

I - 14 = 3(I - 20 - 14)

⇒ I - 14 = 3(I - 34)

⇒ I - 14 = 3I - 112

⇒ 2I = 112 + 14 = 98

⇒ I = 49

So, Ishaan is 49 years old.

4 0
3 years ago
The Cartesian coordinates of a point are given. (a) (−5, 5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0
Alex73 [517]

Answer:

a)

(i) The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) The coordinates of the point in polar form is (-5√2 , 3π/4)

b)

(i) The coordinates of the point in polar form is (6 , π/3)

(ii) The coordinates of the point in polar form is (-6 , 4π/3)

Step-by-step explanation:

* Lets study the meaning of polar form

- To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √( x2 + y2 )

2. θ = tan^-1 (y/x)

- In Cartesian coordinates there is exactly one set of coordinates for any

 given point

- In polar coordinates there is literally an infinite number of coordinates

 for a given point

- Example:

- The following four points are all coordinates for the same point.

# (5 , π/3) ⇒ 1st quadrant

# (5 , −5π/3) ⇒ 4th quadrant

# (−5 , 4π/3) ⇒ 3rd quadrant

# (−5 , −2π/3) ⇒ 2nd quadrant

- So we can find the points in polar form by using these rules:

 [r , θ + 2πn] , [−r , θ + (2n + 1) π] , where n is any integer

 (more than 1 turn)

* Lets solve the problem

(a)

∵ The point in the Cartesian plane is (-5 , 5)

∵ r = √x² + y²

∴ r = √[(5)² + (-5)²] = √[25 + 25] = √50 = ±5√2

∵ Ф = tan^-1 (y/x)

∴ Ф = tan^-1 (5/-5) = tan^-1 (-1)

- Tan is negative in the second and fourth quadrant

∵ 0 ≤ Ф < 2π

∴ Ф = 2π - tan^-1(1) ⇒ in fourth quadrant r > 0

∴ Ф = 2π - π/4 = 7π/4

OR

∴ Ф = π - tan^-1(1) ⇒ in second quadrant r < 0

∴ Ф = π - π/4 = 3π/4

(i) ∵ r > 0

∴ r = 5√2

∴ Ф = 7π/4 ⇒ 4th quadrant

∴ The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) r < 0

∴ r = -5√2

∵ Ф = 3π/4 ⇒ 2nd quadrant

∴ The coordinates of the point in polar form is (-5√2 , 3π/4)

(b)

∵ The point in the Cartesian plane is (3 , 3√3)

∵ r = √x² + y²

∴ r = √[(3)² + (3√3)²] = √[9 + 27] = √36 = ±6

∵ Ф = tan^-1 (y/x)

∴ Ф = tan^-1 (3√3/3) = tan^-1 (√3)

- Tan is positive in the first and third quadrant

∵ 0 ≤ Ф < 2π

∴ Ф = tan^-1 (√3) ⇒ in first quadrant r > 0

∴ Ф = π/3

OR

∴ Ф = π + tan^-1 (√3) ⇒ in third quadrant r < 0

∴ Ф = π + π/3 = 4π/3

(i) ∵ r > 0

∴ r = 6

∴ Ф = π/3 ⇒ 1st quadrant

∴ The coordinates of the point in polar form is (6 , π/3)

(ii) r < 0

∴ r = -6

∵ Ф = 4π/3 ⇒ 3rd quadrant

∴ The coordinates of the point in polar form is (-6 , 4π/3)

6 0
3 years ago
Type the correct answer in the box. Use numerals instead of words.
Mandarinka [93]

Answer:

34

Step-by-step explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

<u>Modulus</u><u> </u><u>:</u><u>-</u> It always gives positive value . For example ,

\rm\implies |-a| = a

\rm\implies |a| = a

<u>The </u><u>given</u><u> </u><u>modulus </u><u>expression</u><u> is</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies |m^2+ n^2|

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

\rm\implies m^2 + n^2

Plug in the given values ,

\rm\implies (-5)^2 + 3^2

Solve 5² and 3² and add them ,

\rm\implies 25 + 9

On adding ,

\rm\implies 34

Therefore ,

\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}

<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>34</u><u> </u><u>.</u>

8 0
2 years ago
What is the explicit rule for the sequence?<br><br><br> 10.5, 9, 7.5, 6, 4.5, 3, ...
BartSMP [9]
You can see the answer and solution from the picture

4 0
3 years ago
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