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3 years ago

5(2x+1)=3(x+4)-5. What is x

Mathematics

1 answer:

hoa [83]3 years ago

6 0

Answer:

x = 2/7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

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HELP ASAP!! PLEASE EXPLAIN! THIS IS Creating Equations and Inequalities of One-Variable

Evgen [1.6K]

Answer:

The steps to doing this are as follows:

1. Identify the unknown and represent it with a variable.

2. Set up an equation or inequality using that variable.

3. Solve the equation or inequality to find an answer to the problem.

6 0

3 years ago

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What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

3 years ago

Read 2 more answers

A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle. (Answe

Paul [167]

The answer is 8 8/11

4 0

3 years ago

A water delivery truck is filling the water tank at Morgan's house. The truck arrived with 2400 L of water. The number of liters

Luda [366]

Answer:

11.81 minutes

Step-by-step explanation:

Here is a simple step-by-step explaination of how to solve this word problem:

Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L

$L = 2400L

$

Next we know that the water in the truck decreases at a rate of 110L/min, or Liters per minute.

So we will put that in the equation:

$L = -110L + 2400L$

Now that we have our equation set up, its time to solve.

To figure out how much water it needs to lose in total to end up with 1100 L left, we subtract 1,100 from 2,400.

$2,400 - 1,100= 1,300

$

Now we can take that number and divide it by how many liters per minute were lost.

$1,300/110=11.81$

So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be

B. $L=-110t + 2400, t=11.8$ min

Hope this helps! : )

3 0

2 years ago

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Is15 a composite or a prime number

Orlov [11]

It is a prime number.

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3 years ago

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