beckys weight is 12% less than Bill's weight. Then Bill's weight is what percent of Becky's?

Answer:

0.7

Step-by-step explanation:

Let the number to be decreased be x. To decrease x by 30 %, the result will be

= x - 30% * x

= x - 0.3x

= 0.7x

From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7

Answer:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}\\=\frac{x^2+(2-1)x-2}{x^2(x-1)+2(x-1)}\\=\frac{x^2+2x-x-2}{(x-1)(x^2+2)}\\=\frac{x(x+2)-1(x+2)}{(x-1)(x^2+2)}\\=\frac{(x-1)(x+2)}{(x-1)(x^2+2)} \\=\frac{x+2}{x^2+2}\\So, ~last~option~is~the~correct~answer.[/tex]

The simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]\rm \dfrac{\left(x^2+x-2\right)}{x^3-x^2+2x-2}[/tex]

[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{x^3-x^2+2x-2}[/tex]

[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x^2+2\right)}[/tex]

= (x + 2)/(x² + 2)

Thus, the simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

Answer:

hello! :) have a good day!

1). 24

2). 27

3). 5

PICTURE 1:

The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)

[tex]13 \frac{7}{10} = 14[/tex]

AND,

(10 1/8) Rounded To The Nearest Whole Number is: (10)

[tex]10 \frac{1}{8} = 10[/tex]

So, 14 + 10 = 24

______________________________________

PICTURE 2:

The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)

[tex]8 \frac{1}{5} = 8[/tex]

AND,

(2 7/8) Rounded To The Nearest Whole Number is: (3)

[tex]2 \frac{7}{8} = 3[/tex]

So, 8 - 3 = 5

______________________________________

PICTURE 3:

The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)

[tex]58 \frac{5}{12} = 58[/tex]

AND,

(30 5/7) Rounded To The Nearest Whole Number is: (31)

[tex]30 \frac{5}{7} = 31[/tex]

So, 58 - 31 = 27

______________________________________

HERE ARE ALL THE ANSWERS:

PICTURE 1: 24

PICTURE 2: 5

PICTURE 3: 27

HOPE THIS HELPS!! :)

Answer:

032.0 yd2 de nada corona por favor

Answer:

5/11 shirts

2/6 pants

he has 67 different ways i think

Answer:

13.225 m

Step-by-step explanation:

Given that :

Initial Velocity, u = 4.9m/s

Acceleration due to gravity, a = - 9.8 m/s² (downward)

Distance, S = - 12

According to the motion equation :

S = ut + 0.5at²

S = 4.9t + 0.5(-9.8)t²

S = 4.9t - 4.9t² - - - (1)

At the highest point, v = 0

v² = u + at

0 = 4.9 + - 9.8t

-9.8t = - 4.9

t = 4.9/9.8

t = 0.5s

Put t = 0.5 in (1) above

S = 4.9(0.5) - 4.9(0.5)²

S = 2.45 - 1.225

S = 1.225 m

Total height :

(12 + 1.225) m = 13.225 m

Answer:

For soda =3/4

For coke= 3/5 X 3/4=9/20

Whole class is 1....

Therefore X% of 1 =9/20

Solving :

X/100 X 1 =9/20

X/100=9/20

20X =900

X= 900/20 = 45%

9514 1404 393

Answer:

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

Answer:

a = false

b= true

c= false

d= false

e= false

Answer:

The cost per pound of the ham is $5.89.

Step-by-step explanation:

Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:

1 kg = 2.20462 pounds

2.20462 = 13

1 = X

((1 x 13) / 2.20462) = X

13 / 2.20462 = X

5.89 = X

Therefore, the cost per pound of the ham is $5.89.

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

Answer:

Step-by-step explanation:

The graph of x - y = 1 is plotted below

The given equation is:

x - y = 1

The equation can be rewritten as:

y = x - 1

This is of the form y = mx + 1

where m is the slope

c is the y-intercept

Compare the equation y = mx + 1 with y = x - 1

The slope, m = 1

The y-intercept, c = -1

The graph of the equation y = x - 1 is plotted below

Learn more on graphs of linear equations here: https://brainly.com/question/14323743

Answer:

2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

20 ÷ 5 × 2 = 8

_________________

( 20 ÷ 5 = 4 × 2 = 8 )

full equation ^^

Answer:

1. 25

2. 9

Step-by-step explanation:

If I'm correct, to complete the square you need to use [tex](\frac{b}{2} )^{2}[/tex]

So, for #1, b is 10. [tex]\frac{10}{2}[/tex] = 5. [tex]5^{2}[/tex] = 25.

For #2, b is -6. [tex]\frac{-6}{2}[/tex] = -3. [tex]-3^{2}[/tex] = 9.

Answer:

A

Step-by-step explanation:

Answer:

24÷8=3

Step-by-step explanation:

Answer:

1.  18x+200

If x=21, answer: 578$

2. (3160-400)/ 120=x

x=23

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Let XY = a

Since,

XY + YZ = XZ

a + YZ = 24

YZ = 24 - a

By angle bisector property:

[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]

9514 1404 393

Answer:

  C  21

Step-by-step explanation:

You can approach this any of several ways. The following conditions must be true:

  adjacent angles total 180°

  opposite angles are congruent

Using the latter relation on the upper right and lower left angles, we have ...

  4x -1 = 3x +20

  x = 21 . . . . . . . . . . add 1-3x to both sides

Answer:B

Step-by-step explanation:

Answer:

I believe there are 5

Step-by-step explanation:

if there are 4 friends and Mary then that makes 5 people in total.

Answer:

The cost of that car in 2012 dollars is $20,755

Step-by-step explanation:

We take a look at inflation values of the dollar to solve this question.

100 dollars in 1976 are equivalent to 469.48 dollars in 2021.

100 dollars in 2012 are worth 113 dollars today.

So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So

469.48/1.13 = 415.5.

That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?

Multiplying by 4.155

5000*4.155 = 20,755

The cost of that car in 2012 dollars is $20,755