Which property of equality justifies the following statement?"If 5x = 60, then x = 12.. "

Symmetric Property

Transitive Property of Equality

Division Property of Equality

Algebra Properties

Answers

Answer 1
Answer: 5x=60
x=60/5

C division property
You divide five from both sides

Related Questions

$0.60 bottle of iced tea marked up to $1.35
A rectangular box has dimensions 4 by 5 by 2 . Increasing each dimension of the box by the same amount yields a new box with volume six times the old. Use the ALEKS graphing calculator to find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.
Square root of 8 savvas realize
Do all squares have four sides
Find the surface area of a sphere with a radius of 2√2 feet.94.5 square feet100.5 square feet25.1 square feet35.5 square feet

One number is 5 less than a second number.twice the second number is 4 less than 4 times the first.find the two numbers

Answers

The equation is solved and the two numbers are x = 7 and y = 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let's call the first number "x" and the second number "y"

x = y - 5 (the first number is 5 less than the second number)

2y = 4x - 4 (twice the second number is 4 less than 4 times the first)

We can use substitution to solve for one of the variables.

Substituting the first equation into the second equation, we get:

2y = 4 (y - 5) - 4

Simplifying this equation , we get

2y = 4y - 24

2y - 4y = -24

-2y = -24

y = 12

Now that we know that the second number is 12, we can use the first equation to find the first number:

x = y - 5

x = 12 - 5

x = 7

Hence , the two numbers are 7 and 12

To learn more about equations click :

brainly.com/question/19297665

#SPJ2

Answer:

9 and 14

Step-by-step explanation:

One number is 5 less than a second number.

a = b - 5

:

Twice the second number is 8 less than 4 times the first.  

2b = 4a - 8

replace a with (b-5)

2b = 4(b-5) - 8

 

2b = 4b - 20 - 8

2b - 4b = -28

-2b = -28

b = 14

then

a = 9

Breakfast at the local cafe costs Harry $38.70 without taxes. He wants to leave a 15 percent tip. How much should he tip?a. $4
b. $6
c. $8
d. $10

Answers

Final answer:

To calculate a 15% tip on a $38.70 meal, multiply the total cost by 15 and divide by 100, giving approximately $6. The closest option available is $6.

Explanation:

To calculate the tip that Harry should leave based on 15 percent of the total cost, we can use the formula:
Tip = Total Cost x Tip Percent/100
Where:
Total Cost = $38.70 (ignoring any taxes),
Tip Percent = 15.

Substituting these values into the formula, we find:
Tip = $38.70 x 15/100 which equals $5.805, therefore, the nearest answer to that would be option b: $6.

Learn more about Percent Calculations here:

brainly.com/question/34428429

#SPJ1

Determine the exact value of k so that the quadratic function f(x) = x2 - kx + 5 has only one zero.

Answers

f(x)=ax^2+bx+c\n\n\Delta=b^2-4ac\n\nif\ \Delta < 0-no\ zeros\nif\ \Delta=0-one\ zero\nif\ \Delta > 0-two\ zeros


f(x)=x^2-kx+5=0\n\na=1;\ b=-k;\ c=5\n\n\Delta=(-k)^2-4\cdot1\cdot5=k^2-20\n\none\ zero\ if\ \Delta=0\n\ntherefore\nk^2-20=0\ \ \ \ |add\ 20\ to\ both\ sides\n\nk^2=20\n\nk=\pm√(20)\n\nk=\pm√(4\cdot5)\n\n\boxed{k=-2\sqrt5\ or\ k=2\sqrt5}
I like this question. When we factorise this question the brackets have to be identical.
5 has to be square rooted to become √5. From, FOIL we know that the last digit is times by the other last digit to find the 5, as our brackets are identical this number is the same. The square root of 5.
This number is doubled in identical brackets to find the middle number. so it is 2√5. As there is a minus number there the brackets are: (x-√5)(x-√5). Multiplying this out gives us: x²-2√5 x+5. k=2√5 (or -2√5, depending on if the minus is counted or not)

5 over 9 - 1 over 3 x 1 over 6

Answers

The answer is 1/2 or 0.5; 1/3 * 1/6 = 1/18; 5/9 - 1/18 (find common denominator) = 10/18 - 1/18 = 9/18; 9/18 cancels to 1/2!

Every prime number greater than 10 has a digit in the ones place that is include in wich set of numbers A- 1,3,7,9 B-1,3,5,9 D-1,3,7

Answers


That's very interesting.  I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:

-- 0:
   A number greater than 10 with a 0 in the units place is a multiple of
   either 5 or 10, so it's not a prime number.

-- 1:
    A number greater than 10 with a 1 in the units place could be
    a prime (11, 31 etc.) but it doesn't have to be (21, 51).

-- 2:
   A number greater than 10 with a 2 in the units place has 2 as a factor
   (it's an even number), so it's not a prime number.

-- 3:
   A number greater than 10 with a 3 in the units place could be
   a prime (13, 23 etc.) but it doesn't have to be (33, 63) .

-- 4: 
   A number greater than 10 with a 4 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 5:
   A number greater than 10 with a 5 in the units place is a multiple
   of either 5 or 10, so it's not a prime number.

-- 6:
   A number greater than 10 with a 6 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 7:
   A number greater than 10 with a 7 in the units place could be
   a prime (17, 37 etc.) but it doesn't have to be (27, 57) .

-- 8:
   A number greater than 10 with a 8 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 9:
   A number greater than 10 with a 9 in the units place could be
   a prime (19, 29 etc.) but it doesn't have to be (39, 69) .

So a number greater than 10 that IS a prime number COULD have
any of the digits  1,  3,  7,  or  9  in its units place.

It CAN't have a  0,  2,  4,  5,  6,  or  8 .

The only choice that includes all of the possibilities is  'A' .

Given f(x)=x^2+3 and g(x)=x+5/x. Find (g o f)(4)

Answers

To find g(f(4)), work from the inside out.

f(4) is 4^2+3, or 16+3, or 19.  Now, we must find g(19).

This is 19+5/19.  This is already a mixed number, though if you want an improper fraction solution, we have:

361/19+5/19

Which simplifies to:

366/19

Therefore, 366/19 is the answer.