2x-4/10 = 2x/20 Solve for x.

Answers

Answer 1

Answer: make 2x/20=x/10
2x-4/10=x/10
multiply both sides by 10
20x-4=x
subtract x from both sides
19x-4=0
add 4
19x=4
divide by 19
x=4/19

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A rectangular bathroom tile is 2 1/3 times as wide as it is tall.If the tile is 5cm tall,how wide is it?

Answers

The width of the rectangular bathroom tile is 11 and 2/3 centimeters. Taft is because 2x5 is 10 cm and 1/3x5 is 5/3. 5/3 simplified as a mixed number is 1 and 2/3. 1 and 2/3 combined with 10 is 11 and 2/3 centimeters.

Which of the following decimals has the least value? 0.3;0.029;0.003;0.01

Answers

The least value is 0.003 because it is the farthest away from 1.

Which decimal has the least value 0.017 0.6 0.0093

Write 115.9% as a fraction

Answers

$1 \ \% = (1)/(100)\n \n115.9 \ \%= 115.9 *(1)/(100)=(115.9)/(100) *(10)/(10)=(1159)/(1000)$

the answer would be 1 159/1000
hope that helps! :)

What is the solution to the linear equation? 6k + 10.5 = 3k + 12 k = 0.5 k = 2 k = 7.3 k = 9

Answers

The solution is K=0.5

The solution is K = 0.5

Jonathan can jog 3 2/5 miles in 7/8 hour. Find his average speed in miles per hour

Answers

the answer is going to be .27 miles per hour

the way u do it 3 2/5 is going to be 3.20 and 7/8 is going to be .875 then u take .875 and divide it by 3.20 and u get .27

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?The answer should be formatted like this:

The length of the other leg is __ in
The measures of the acute angles are : __ and __

Answers

General Idea:

By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.

Given:

$a= 4 \; in\n\nc=8\; in\n\na^2+b^2=c^2\n\n4^2+b^2=8^2\n16+b^2=64\nSubtracting \; 16 \; on \; both \; sides\n\nb^2=64-16\nb^2=48\nTake \; square \; root \; on \; both \; sides\n\nb= √(48) = √(16 * 3) = √(16) * √(3) = 4 √(3) inches$

We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).

The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.

Conclusion:

The length of the other leg is 4√3 in

The measures of the acute angles are : 30° and 60°

The length of the other leg is 6.9 inches.The measure of each acute angle is 45 degrees.

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