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zloy xaker [14]
2 years ago
13

Solve= 10/8 = n/10 Write your answer as an improper fraction in simplest form.

Mathematics
1 answer:
vekshin12 years ago
3 0
<h2>Answer:</h2>

n=\frac{25}{2}.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

\frac{10}{8} =\frac{n}{10}

<h3>2. Solve the equation for n.</h3>

\frac{10}{8} =\frac{n}{10}

10*(\frac{10}{8}) =(\frac{n}{10})*10 ----> Multiply both sides by 10.

10*(\frac{10}{8}) =n----> Simplify.

\frac{10*10}{8} =n----> Solve the fraction product.

\frac{100}{8} =n----> Simplify.

\frac{100/4}{8/4} =n----> Simplify by dividing the numerator and denominator by the       same number.

\frac{25}{2} =n----> Simplify.

n=\frac{25}{2}----> Reorganize.

.

<h3>3. Express your result.</h3>

n=\frac{25}{2}.

<em>Note. </em><em>Check the attched image to see the manual solution of the equation. We took the same steps I explained previously in the manual solution.</em>

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Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is
Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

    Length of Shorter leg = x,

According to the given condition we have

∴  Length of Longer leg = x + 9 feet

∴  Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

substituting the given values we get

(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\

By using Identity (A ± B)² = A² ± 2AB +B²  we get

4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet

Substituting x=27 we get

∴  Length of Longer leg = x + 9 =27 +9 = 36 feet

∴  Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0
3 years ago
A collection of stamps consists of 3c stamps 5c stamps and 7c stamps. There are 6 more 3c stamps than 5c stamps and two more 7c
Deffense [45]

The number of 3¢ stamps that are in the collection is: 22.

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

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:

<u>Note:</u> 100 cents (¢) is equal to 1 dollar ($).

A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194

6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6  ⇒ 5¢ = 3¢ - 6

Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2

Combining the above equations, we have:

3¢ + 3¢ - 6 + 3¢ + 2 = 194

9¢ = 198

¢ = 198/9

¢ = 22.

Read more on expressions here: brainly.com/question/17361494

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<u>Complete Question:</u>

A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?

6 0
1 year ago
Find the median of this data: 18, 9, 17, 18, 15, 10, 18. If necessary, round to the nearest tenth.
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2 years ago
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Answer:

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-3x < 3   (divide both sides by 3)

-x < 1 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by negative numbers)

x > -1  (answer)

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The answer is Inductive Reasoning


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