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ASHA 777 [7]
3 years ago
5

Andre purchased 10 cans of tennis balls from an online store and received a 25% discount. Shipping cost $5.99. Write an algebrai

c expression to represent the total cost of the tennis balls with the shipping cost, if x represents the cost of each can.
Mathematics
1 answer:
torisob [31]3 years ago
4 0

Given that number of cans purchased by Andre = 10

Let cost of 1 can = $x

then cost of 10 can = 10x

Given that Andre recieved 25% discount

So the actual amount paid = 100% - 25% = 75%

that means He paid 75% of 10x

Now there is some shipping cost about $5.99

Then total cost will be = (75% of 10x) + 5.99

Total cost = 0.75*10x + 5.99

Total cost = 7.5x + 5.99


Hence required algebraic expression to represent the total cost of the tennis balls with the shipping cost is <u>7.5x + 5.99</u>

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The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 intersect to form the sides of a right triangle. Find the perimeter and area
tino4ka555 [31]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

(x₂, y₂) = (-0.8, 4.4),

(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

#SPJ1

3 0
1 year ago
The tempature was very cold,tgen it doubled,then it dropped 10 degrees,and then it increased by 40 degrees.The tempature is now
ycow [4]

Answer

The initial temperature was T = -7 degrees

Step-by-step explanation:

Let the initial temperature be T.

- The tempature was very cold

Temperarure = T

- Then it doubled

Temperature = 2T

- Then it dropped 10 degrees

Temperature = 2T - 10

- And then it increased by 40 degrees.

Temperature = 2T - 10 + 40 = 2T + 30

The tempature is now 16 degrees

Temperature = 16 degrees

2T + 30 = 16

2T = -14

T = -7 degrees

Hope this Helps!!!

4 0
3 years ago
Read 2 more answers
Please help. I have no idea how to do this. Find the measure of
vagabundo [1.1K]

m∠A = 40

Step-by-step explanation:

Given AB =AC and  m∠B = 70

Since AB =AC , Triangle ABC is an isosceles Triangle and the corresponding angles B and C are equal.

So m∠B = m∠C = 70

The sum of the 3 Angles of a triangle is 180°.

=> m∠A  + m∠B + m∠C = 180

=> 140 + m∠C = 180

=> m∠C = 40

Hence the answer is  m∠C = 40

6 0
3 years ago
I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING. <br><br>please help me out with this ​
Digiron [165]

34

Step-by-step explanation:

 122

7 0
2 years ago
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Translation of a 2D shape..<br> Due in tomorrow, please help! Xx
bazaltina [42]
(5,7) (5,4) (7,4) hope that helps
4 0
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