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2 years ago

Cell phones are on sale for 40% off. The usual price of this phone is $315. How much will the phone cost after the discount?

Mathematics

2 answers:

Tresset [83]2 years ago

7 0

Answer: It will be $189

Step-by-step explanation:

$315*.4=126

$315-126= $189

Hunter-Best [27]2 years ago

3 0

315 * .60
The phone is $189.

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What is the approximate volume of the small truck? length 11 1/3 ,width 7 5/12 ,height 6 3/4?

luda_lava [24]

V = L X W X H
V = 11 1/3 X 7 5/12 X 6 3/4
V = 567 54/144
Which reduces to 567 3/8
V= 567 3/8

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3 years ago

Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared eq

Setler79 [48]

Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

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2 years ago

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Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

Explanation

Suppose, the amount of money at 6% interest is $x$

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: $(40000-x) dollar$

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So, Paul needs to invest $10000 at 6% interest and ($40000- $10000) or $30000 at 10% interest to make a total of 9% return on his $40000.

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