What is 80% of 400? show work

Answers

Answer 1
Answer: 80% of 400

We can set up a proportion because it makes things more clear. 

First, we need to assume that 400 is our '100'. Usually, 100 is our total value. 

400/x=100/80
(400/x)*x=(100/80)*x       
400=1.25x        
400/1.25=x 
320=x 
x=320

Our final answer: 320

Answer 2
Answer: of in mathematics means multiplication

80% = 80/100 = 0.8

0.8 * 400 = \boxed{320}

80% of 400 is 320.

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The definition of term

How do i solve this problem 2/3y+y-4=31

Answers

The resultant of the given equation will be : y = 21

Given,

2/3y+y-4=31

Here,

First add the terms having same variable.

Add 2/3 y and y

2/3 y + y

= 5y/3

Now take -4 from LHS to RHS ,

5y/3 = 35

y = 7* 3

y = 21

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( 2 / 3)y + ( 3 / 3 )y - 12 / 3 = 93 / 3 ;
( 2y + 3y - 12 ) / 3 = 93 / 3 ;
5y - 12 = 93 ;
5y = 105 ;
y = 21 ;

15/60 as a percentage 

 

 

 

Answers

15/60=1/4=0.25
0.25*100=25
15/60 in % is 25%

Answer:

25%

Step-by-step explanation:

15 is 1/4 of 60, and 1/4 is 25%.

If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.

Answers

This is a problem using proportions.

a/b = c/d where: ad = bc

1/4 : 5 = x : 8

a = 1/4 ; b = 5 ; c = x ; d = 8

get the cross products: ad = bc

1/4 * 8 = 5 * x
8/4 = 5x
2 = 5x
2/5 = x

2/5 of a pizza can be purchased for 8 dollars.

to check:

1/4 : 5 = 2/5 : 8

1/4 * 8 = 5 * 2/5
8/4      = 10/5
  2       = 2
  

What is the quotient of 13,632 ÷48 please show the work

Answers

The quotient when of 13,632 ÷ 48 is 284.

What are the basic properties of arithmetic laws of operations?

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, we have to obtain the quotient when of 13,632 ÷ 48.

We know we can write a number as N = DQ + R, where N = number,

D = divisor, Q = quotient and R = remainder.

∴ 13632 = 48(284).

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13,632 ÷ 48 equals to 284

What is the discriminant of the quadratic equation 3 - 4x = -6x^2-68
-56
76
88

Answers

Answer: B) -56

Step-by-step explanation:  In a quadratic equation, the discriminant helps tell you the number of real solutions and it is:

b^(2) -4ac

To calculate the discriminant of the given equation, we need to write it in the standard form (we equal it to zero):

6x^(2) -4x+3=0

here we can see that a=6;  b=-4; and c=3

so the discriminant would be:

(-4)^(2) -4*6*3=

16-72=-56

The discriminant is -56.

The discriminant is found using

b²-4ac, after the quadratic is in standard form.  First, we will add 6x² to both sides to write it in standard form:
3-4x=-6x²
3-4x+6x²=-6x²+6x²
6x²-4x+3=0

We can now see that b=-4, a=6 and c=3:

(-4)²-4(6)(3)
16-72
-56

The inequality 6(x + 2) > 7(x − 5) is equivalent to which of the following inequalities?A. x < −23
B. x < 07
C. x < 17
D. x < 37
E. x < 47

Answers

6(x + 2) > 7(x-5)\n \n6x+12>7x-35 \n \n 6x-7x >-35-12\n \n-x>-47 \ \ /\cdot (-1)\n \nx< 47 \n \nAnswer : \ E. \ \ x < 47
6(x+2) > 7(x-5)
6x +12>7x-35
6x-7x > -35 -12
-x > - 47
x < 47      =  E