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3 years ago

Six times a number, increased by 3 is is 27. find the number

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

6 0

Answer : The number is 4.

Step-by-step explanation:

Given : 

six times a number, increased by 3 is is 27.

To Find: 

The number.

Solution : 

Let the number is x

six times a number is 6x

Increased by 3 = 6x+3

According to the given question :

Solving the value x : 

6x+3 =27

6x = 27-3

6x = 24

x = 24/6

x = 4

Hence, the number is 4.

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A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

$0.2A + 0.7B = 10.5$

--------------------------------------

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

$21 + B = 30$

$B = 9\ gallons$

3 0

3 years ago

Executives for a company that prints logos on products are expanding the company’s services to include souvenirs such as hats,

Ilia_Sergeevich [38]

Answer:

.39

Step-by-step explanation:

just did the math

3 0

2 years ago

I need an answer, please

Bond [772]

Yes, it can. Side 22cm can be the hypotenuse (longest side in a right angled triangle) while the others can be shorter sides. These sides form a RIGHT-ANGLED TRIANGLE.

5 0

3 years ago

Read 2 more answers

F(x)=(1/4)^x what is the y-intercept common ratio

Vesna [10]

See attached graph.

The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.

The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.

6 0

3 years ago

If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t

Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x. Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting

(x + -5) equal to 3.464101615 and -3.464101615.

6 0

2 years ago