Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.​

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

Answer:

[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]

Step-by-step explanation:

Given

[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]

Required

Solve

[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]

Express 32 as 2^5 and 243 as 3^5

[tex](\frac{2^5}{3^5})^{-\frac{4}{5}}[/tex]

The exponent can be expressed as 1\5 * -4

So we have:

[tex](\frac{2^5}{3^5})^{\frac{1}{5} * -4}[/tex]

Apply law of indices:

[tex](\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}[/tex]

[tex](\frac{2}{5})^{-4}[/tex]

In indices:

[tex](\frac{a}{b})^{-c} = (\frac{b}{a})^{c}[/tex]

So, the expression becomes

[tex](\frac{5}{2})^{4}[/tex]

[tex](\frac{5^{4}}{2^{4}})[/tex]

[tex]\frac{625}{16}[/tex]

[tex]39.0625[/tex]

Hence:

[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]

Answer:

48 pints

Step-by-step explanation:

Answer:

The sample size is [tex]n = 2[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  [tex]\sigma = 2.539[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>  [tex]n = [\frac{2.58  *  2.539  }{4.266} ] ^2[/tex]

=>  [tex]n = 2[/tex]

Answer:

not sure if this is correct but is it 3??

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

rug 1= 2.87 meters or 287 cm

rug 2= 287-98 or 189 cm

rug 3= 189+111 or 300 cm or 3m

300-287=13cm or 0.13m

Answer:

Step-by-step explanation:

division

Answer:

a=-3 1/3

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

it iss -101, -76, -48, 83, 93

Answer:

-101, -76, -48, 83 ,93, 102

Answer:

X=3

Step-by-step explanation:

9+x=12

x=12-9

so x is 3

Answer:

3

Step-by-step explanation:

Let's go through this together.

Step 1) Rearrange Terms (Optional)

9 + x = 12

x + 9 =12

Step 2) Subtract 9 from both sides of the equation

x + 9 = 12

   -9    -9

Step 3) Simplify

If we subtract 9 on both sides, we end up with:

x + 0 = 3

Since 0 no longer has any part in the equation, we can conclude that:

x = 3

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

Answer:

5H

Step-by-step explanation:

Given

A roll of die followed by a flip of coin.

Required

Determine possible outcome in the sample space

Taking the experiment one at a time.

A roll of die will either give any of 1 to 6 as its outcome.

A flip of coin will either give any of H or T as its outcome.

So, the possible outcomes of a roll of die followed by a flip of coin is:

{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Note that numbers came first because the question stated that the die is rolled first.

Comparing the list of given options with the sample space above.

Option (A) i.e. 5H answers the question.

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

Answer:

y=1/3x-2

Remeber the slope intecpet form is y=mx+b

Hope this helps :)

Step-by-step explanation:

PLZ MARK ME BRAINIIEST THANK YOU

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

Answer:

I’m sorry but I can’t see how much it’s on sale for so just tell me and I’ll answer.

Step-by-step explanation:

Answer:

4th one

Step-by-step explanation:

Answer:

Price of tne Vest + $40 - 1.40 = $38.6

Step-by-step explanation:

3.5% * n = $1.40

0.035 * n = $1.40

0.035/0.035 * n = $1.40/0.035

n = $40

The price of the vest not including the tax is, $40

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products

Now,

Let p = price of a vest

Hence, from the question, this equation can be formed,

⇒ 35% of p = $1.40

⇒ 0.035 x p = $1.4

divide both sides of the equation by 0.035;

⇒ p = $40

Thus, The price of the vest not including the tax is, $40

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Complete question is this;

Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%

Answer:

Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.

Answer:

93 3/4

Step-by-step explanation:

93.75 = 93.75/1

93.75/1 × 100/100 = 9375/100

9375 ÷ 25 / 100 ÷ 25 = 37/54

93 3/4

93.75 = 93 3/4

Answer:

y=5x-15, y=-1/5x-23/5

Step-by-step explanation:

Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.

We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=5x+b

-5=5(2)+b

-5=10+b

b=-15

So the equation of the parallel line is y=5x-15.

Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.

We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=-1/5x+b

-5=-1/5(2)+b

-5=-2/5+b

b=-23/5

So the equation of the perpendicular line is y=-1/5x-23/5.

Answer:

40 times 9 equals 299

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

20.75+43.58+30.45+29.72= 124.5

328.15-124.5=

Answer:

198

Step-by-step explanation: