Suppose that an individual has a body fat of 17.1% and weighs 128 pounds. How many pounds of his weight is made up of fat?

Answer:

203.25 (1 = remainder)

Step-by-step explanation:

Answer:

1. 5 hours

2. 4 hours

Reason:

Formula for speed is speed = [tex]\frac{distance}{time}[/tex] , if you want to find time, then take distance / speed, which will equal to 100 / 20 = 5 hours, and the same with 2.

[tex]\\ \rm\hookrightarrow Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\hookrightarrow Time=\dfrac{Distance}{Speed}[/tex]

So

#1

[tex]\\ \rm\hookrightarrow Time=\dfrac{100}{20}=5h[/tex]

#2

[tex]\\ \rm\hookrightarrow Time=\dfrac{180}{45}=4h[/tex]

Answer:

x > 2

Step-by-step explanation:

2(x + 5) < 4 + 5x

expand brackets:

⇒ 2x + 10 < 4 + 5x

Subtract 2x from both sides:

⇒ 10 < 4 + 3x

Subtract 4 from both sides:

⇒ 6 < 3x

⇒ 3x > 6

Divide both sides by 3:

⇒ x > 2

Answer: x>2

Step-by-step explanation: Check the steps in these attached images your welcome.

Simplify the expression

Answer:

-27.27 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((12 - 16.5) / 16.5) * 100 = -27.27 %

27.3%

Find the different:

16.50-12=4.5

Find the percentage reduction:

4.5/16.50×100

=27.27272727

=27.3%(3 sig.fig)

Answer:

  390

Step-by-step explanation:

The given sequence has no common difference or ratio, so finding the rule that describes it is mainly accomplished by trial and error.

__

We notice that the ratio of the first two numbers is 2, the difference of the second pair is 3, the ratio of the third pair is 4, the difference of the next pair is 5.

This suggests that we are alternating addition and multiplication, and that the values involved increase by 1 each time.

Addition of 5 was used last, so we expect the next number to be found by multiplying by 6.

  65 × 6 = 390 . . . . . the next number

Answer:

1/20

Step-by-step explanation:

Step-by-step explanation:

no

yes

no

no

the sum of all angles must be 180°

Answer:

17/8

Step-by-step explanation:

2⅛ as an improper fraction.

2 x 8 = 16

16 + numerator (1) =17.

17/8 is 2⅛ as an improper fraction

Solution:

To convert the fraction into improper fraction, multiply the whole number with the denominator and add the numerator to the product. The denominator will remain the same.

2 1/8 in improper fraction is 17/8.

Answer:

ratio's of their volume is 216 : 343

Explanation:

Let volume of one solid be x, another be y

given scale factor = 6 : 7

volume of solid = a³

solve:

[tex]\sf \frac{x}{y} = (\frac{6}{7} )^3}[/tex]

[tex]\sf \frac{x}{y} = \frac{216}{343} }[/tex]

║ Therefore volume of one solid is 216 and another 343 ║

In ratio form:

216 : 343

Answer:

Ratio's is 216 : 343

Step-by-step explanation:

Volume of one solid is x, and the other is y

Scale factor = 6 : 7

Volume of solid = a³

Solve:

[tex]\frac{x}{y}=(\frac{6}{7})^{3}[/tex]

[tex]\frac{x}{y}=\frac{216}{343}[/tex]

Hence, the volume of one solid is 216 and the other is 343

As a Ratio:

216 : 343

Answer:

y = x -3

Step-by-step explanation:

From the graph we see the line goes from point (0, -3) to point ( 3, 0), so we can find the slope as m= rise ( go up 3)  / run ( go to the right 3)  = 3/ 3 = 1

From the graph we can also see the y-intercept ( where the line intersects the y axis is at b = -3

The general equation of the line is y= mx+ b

Our line's equation is y = x -3, because m=1 and b= -3

Answer:

14

Step-by-step explanation:

Answer:

a is true

b is false

c is true

Answer:

[tex]3x-6a=-27[/tex]

[tex]5z +3y=27[/tex]

Combined, these equations cancel out to equal zero.

Step-by-step explanation:

Given:

[tex]X = 3\\A = 6\\Y = 4\\Z = 3[/tex]

Find:

[tex]3x - 6a\\5z + 3y[/tex]

1. [tex]3x-6a[/tex]

To find the value of [tex]3x-6a[/tex], substitute 3 for [tex]x[/tex] and 6 for [tex]a[/tex]:

[tex]3x-6a\\3(3)-6(6)\\9-36\\-27[/tex]

2. [tex]5z +3y[/tex]

To find the value of [tex]5z +3y[/tex], substitute 3 for [tex]z[/tex] and 4 for [tex]y[/tex]:

[tex]5z+3y\\5(3)+3(4)\\15+12\\27[/tex]

Answer:

2

Step-by-step explanation:

Because

2 hours=1 lawn

4 hours=2 lawns

6 hours=3 lawns

8 hours=4 lawns

10 hours=5 lawns

12 hours=6 lawns

14 hours=7 lawns

16 hours=8 lawns

18 hours=9 lawns

Another way to think of it is 18 hours by 9 lawns=2 so each 2 hours the lawns should be half like how 12 hours is 6 lawns or how 16 hour is 8 lawns.

Hope this helps have a great afternoon:)

The rate of mowing the lawn by Meena is 2 units per hour, at this rate she will mown 9 lawns in 18 hours.

Given, that Meena mowed 9 lawns in 18 hours.

The breakup of lawn mowing by Meena can be described as below.

She mowed 9 lawns in 18 hours.

So, the breakup :

2 hours = 1 lawn

4 hours = 2 lawns

6 hours = 3 lawns

8 hours = 4 lawns

10 hours = 5 lawns

12 hours = 6 lawns

14 hours = 7 lawns

16 hours = 8 lawns

18 hours = 9 lawns

In this way she mowed 9 lawns in 18 hours with a rate of 2 lawns per hour.

Know more about per unit rate system,

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Answer:

For B.) Estimate how many inches in a triangle, the edges for B.) Estimate it to around 5 or 4 ok and you times the other 4, start from bottom to end. so 4x4x3x3= 144

4x4=16

3x3=9

16x9=144

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

angle y=163  and angle x= angle z  

Answer:

15.4:8.2

59.29:31.57

31.57:16.81

Step-by-step explanation:

The first one is found by doubling both numbers.

The second one is found by multiplying both numbers by 7.7.

And the final ratio is found by multiplying both numbers by 4.1.

Answer:

Step-by-step explanation:

Sarha picker 1/2 more thank Nathen because

Check the picture below.

Answer:

Step-by-step explanation:

ABCD is a rectangle

Base = 4 - (-5) = 9

Height = 4 - (-6) = 10

Area = 9 * 10 = 90 ft²

Answer:

(3y+2) (2d+9)

Step-by-step explanation:

Group and factor out the greatest common factor then combine.

Answer: a=1 b=3

Step-by-step explanation: the x for each of the points are 1 and 3

A domain is the range of the assigned value (x), the domain of this piecewise-defined function are: a= 1 and b= 3

Based on the graph of the piecewise-defined function, we can deduce the following points;

When x < 1, we have:

f(x) = -x.

When 1 ≤ x < 3, we have:

f(x) = -1.

When x ≥ 3, we have:

f(x) = (x - 3)² - 1.

Since a domain is the range of the assigned value (x), we have:

a = 1.

b = 3.

Read more on piecewise-defined function here: brainly.com/question/15476150

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We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

[tex]{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}[/tex]

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ a = 1 , b = - 10 , c = 27

Now , Calculating D ;

[tex]{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}[/tex]

[tex]{:\implies \quad \sf D=100-108}[/tex]

[tex]{:\implies \quad \bf \therefore \quad D=-8}[/tex]

Now , Calculating the vertex ;

[tex]{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}[/tex]

[tex]{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad Vertex = (5,2)}[/tex]

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

The perimeter of a nonagon is the sum of its side lengths

The perimeter of the regular nonagon is 840.7 units

The in-radius of the regular nonagon is given as:

r =17

The perimeter is then calculated as:

[tex]P = \frac{18r}{\tan(pi/9)}[/tex]

Substitute 17 for r

[tex]P = \frac{18 * 17}{\tan(pi/9)}[/tex]

Evaluate the product of 18 and 17

[tex]P = \frac{306}{\tan(pi/9)}[/tex]

Evaluate the quotient

[tex]P =840.7[/tex]

Hence, the perimeter of the regular nonagon is 840.7 units

Read more about perimeters at:

https://brainly.com/question/24571594

Answer:

$56.25

Step-by-step explanation:

25% of Original Price = 25% of $75 = 0.25*75 = 18.75

The discount is $18.75. This is amount you save.

Final Price = (Original Price) - (Discount)

Final Price = (75) - (18.75)

Final Price = 56.25

Answer:

I caulatuated it and it came down to pay of need is $56.25

Answer:

hope it will help you