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Zarrin [17]
2 years ago
8

As an estimation we are told 5 miles is 8 km. Convert 22.5 miles to km.

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
7 0

Answer:

36 kilometers

Step-by-step explanation:

5 miles = 8 kilometers

22.5 miles = x kilometers

Cross multiply.

22.5 × 8 = 5 × x

180 = 5x

Divide both sides by 5.

180/5 = x

x = 36

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Answer:

13.333% of 3 is 4.

Step-by-step explanation:

Take missing value = x

x% of 3 = 4

x/100 × 3 = 4

3x/100 = 4

3x = 400

x = 400/3

x = 13.333

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Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

\sqrt[3]{}(x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

8 0
1 year ago
The equation for a circle is ​x^2 − 8x + y^2 - 2y - 8 = 0
Ivanshal [37]

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form use the method of completing the square

Given

x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )

x² - 8x + y² - 2y = 8

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1

(x - 4)² + (y - 1)² = 25 → B

6 0
2 years ago
Joanie runs the concession stand for the school's baseball games. At each game, the best selling items are pretzels and hot dogs
Elenna [48]
X is pretzels and y is hot dogs
3x + 2y=195
x +15 =y

3x + 2(x+15)=195
5x=165
x=33
D
4 0
2 years ago
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