simplify the following expression

Peter weighs 156 pounds, but he would like to wrestle in a lower weight class.He loses 4 pounds one week, gains back 2 pounds the next, loses 5 pounds the third week and loses 3 pounds the fourth week.How much does 

Peter weigh now?

Answer:

6

because a dozen is 12 and a half dozen is 6.

Answer:

13 playing cards

Step-by-step explanation:

Thomas = 19 playing cards

Brother = 6 playing cards (which give Thomas)

Thomas = 19 playing cards - 6 playing cards = 13 playing cards

Answer:

[tex]\huge\boxed{\sf 13\ cards}[/tex]

Step-by-step explanation:

Thomas has total = 19 playing cards

He gave away = 6 cards

Thomas have now:

=> 19-6

=> 13 cards

Answer:

x= 20

Step-by-step explanation:

The two smaller angles add to 90 degrees

x + 3x +10 = 90

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x = 80

Divide each side by 4

4x/4 = 80/4

x = 20

Answer:

[tex]x=20\textdegree[/tex]

Step-by-step explanation:

The angle we have here is a right angle. Right angles have a total measure of 90°. Therefore, the two parts must equal 90°:

Thus, we have the equation:

[tex](x)+(3x+10)=90[/tex]

Combine like terms:

[tex]4x+10=90[/tex]

Subtract 10 from both sides. The left side cancels:

[tex](4x+10)-10=90-10\\4x=80[/tex]

Divide both sides by 4. The left side cancels:

[tex](4x)/4=(80)/4\\x=20[/tex]

Thus, x is 20°.

Answer: Fluid friction describes the friction between layers of a viscous fluid that are moving relative to each other

Hope it helps:) I got it right on my test btw

Step-by-step explanation:

Answer:

10) -1

11) 1/2 or 0.5

12) -1/5 or -0.2

13) -13/6 or -2.166666666

14) -1/8 or -0.125

15) 1/2 or 0.5

hope it helps;)

good luck!

Answer:

work shown and pictured

Answer:

  $2611.05

Step-by-step explanation:

  earnings = lane rentals + concessions

Friday:

  earnings = $842.72 +412.38 = $1255.10

Saturday:

We assume "down by 1/8" means the value was 1 -1/8 = 7/8 that of the previous day. Likewise, "increased by 1/2" is assumed to mean the value was 1 + 1/2 = 3/2 that of the previous day.

  earnings = 7/8×$842.72 + 3/2×412.38 = $1355.95

__

Then the total earnings for both days were ...

  $1255.10 +$1355.95 = $2611.05

Answer:

$1,355.95

$1,580.10

$1,992.48

$2,611.05

Step-by-step explanation:

 $2611.05  

plz give him a heart and a rating.     c'mon do it for him

༼ つ ◕_◕ ༽つ

no just do the stuff in the parentheses then multiply by 5

Answer:

(14, 6 )

Step-by-step explanation:

Given

[tex]\frac{1}{7}[/tex] x + [tex]\frac{1}{6}[/tex] y = 3 ( multiply through by 42 to clear the fractions )

6x + 7y = 126 → (1)

[tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{3}[/tex] y = 5 ( multiply through by 6 to clear the fractions )

3x - 2y = 30 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the x- term

- 6x + 4y = - 60 → (3)

Add (1) and (3)term by term to eliminate x

11y = 66 ( divide both sides by 11 )

y = 6

Substitute y = 6 into either of the 2 equations and evaluate for x

Substituting into (1)

6x + 7(6) = 126

6x + 42 = 126 ( subtract 42 from both sides )

6x = 84 ( divide both sides by 6 )

x = 14

Solution is (14, 6 )

Answer:

[tex]\frac{3}{4}[/tex] miles

Step-by-step explanation:

Total length of the trail = [tex]4\frac{1}{2}[/tex] miles = [tex]\frac{9}{2}[/tex] miles

She ran the first [tex]\frac{2}{3}[/tex] of the distance i.e.

The distance for which she ran = [tex]\frac{2}{3} \times \frac{9}{2} = 3\ miles[/tex]

Remaining distance = Total length of trail minus the distance for which she has already run = [tex]\frac{9}{2} - 3 = \frac{3}{2}[/tex] miles

Given that: After running, Annie has to walk due to steep nature of the trail, So, Annie walked for [tex]\frac{1}{2}[/tex] of the remaining distance.

The distance for which Annie walked = [tex]\frac{1}{2} \times[/tex] Remaining distance

The distance for which Annie walked = [tex]\frac{1}{2} \times[/tex] [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{4}[/tex] miles

So, the answer is: [tex]\frac{3}{4}[/tex] miles

Answer:

(5,4)

Step-by-step explanation:

Moving right, so moving along the x- axis in the positive direction. So add 4 to the x value of the ordered pair.

Answer:

$35.2

Step-by-step explanation:

I’m assuming you meant the total of the dress after tax.

1. 32 * 1.1 = 35.2

OR

1. 32 * 0.1 = 3.2

2. 32 + 3.2 = 35.2

You could do it either way.

Answer:

a) her estimate is wrong, because 22 crates can only contain 704 boxes

b) 23 crates

Step-by-step explanation:

Each crate can hold 32 boxes and there are total of 712 boxes.

Megan thinks she can fit all 712 boxes into 22 crates.

Now multiplying 22 crates 32 boxes to know the number of boxes22 crates can contain

= 22*32

= 704 boxes

The boxes are not all contacts in 22 crates

To pack 712 boxes

She Will need = 712/32 crates

She will need= 22.25 crates

Rounding up to whole number she will need 23 crates

Answer:

The answer is 6.5

Step-by-step explanation:

(3.5/1)+3(1)^2

3.5/1=3.5

3(1)^2=3

3.5+3=6.5

Answer:

1/4

Step-by-step explanation:

Hello, first of all we could say, let 's replace x by 1 and see if we can conclude.

numerator gives [tex]\sqrt{1+15}-4=\sqrt{16}-4=4-4=0[/tex]

denominator gives 1-1=0

So, this is 0/0 and this is not defined.

We need to ask a friend for help. Guillaume de l'Hôpital, French mathematician from the 1600s,  has a trick to solve this kind of stuff.

In short, he says that

[tex]\displaystyle \lim_{x\rightarrow c} \ {\dfrac{f(x)}{g(x)}}=\lim_{x\rightarrow c} \ {\dfrac{f'(x)}{g'(x)}}[/tex]

In our case here, we have c = 1

[tex]f(x)=\sqrt{x^2+15}-4\\\\g(x)=x-1[/tex]

[tex]f'(x)=\dfrac{1}{2}\dfrac{2x}{\sqrt{x^2+15}}=\dfrac{x}{\sqrt{x^2+15}}\\\\f'(1)=\dfrac{1}{4}\\\\g'(x)=1\\\\\dfrac{f'(1)}{g'(1)}=\dfrac{1}{4}[/tex]

So, we can conclude

[tex]\displaystyle \lim_{x\rightarrow1} \ {\dfrac{\sqrt{x^2+15}-4}{x-1}}=\lim_{x\rightarrow1} \ {\dfrac{1}{4}}=\boxed{\dfrac{1}{4}}[/tex]

Thanks

Answer:

a. x=9, b. x=6

Step-by-step explanation:

In a the triangle is cut in half. the sides are equal even though the triangle is slanted.

In b the triangles are similar if you flip the big one. Since the smaller triangle is smaller it is a reduced form of the larger one.

Answer:

-9

Step-by-step explanation:

Simplify the following:

7 - 8/4 (3^2 - 1)

Hint: | Evaluate 3^2.

3^2 = 9:

7 - 8/4 (9 - 1)

Hint: | Subtract 1 from 9.

9 - 1 = 8:

7 - 2×8

Hint: | Divide 8 by 4.

8/4 = (4×2)/4 = 2:

7 - 2×8

Hint: | Multiply -2 and 8 together.

-2×8 = -16:

7 + -16

Hint: | Subtract 16 from 7.

7 - 16 = -9:

Answer:  -9

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

y = 4/3x - 5

Comparing with the general equation above

Slope/ m = 4/3

Since the lines are parallel their slope are also the same

So we have

Slope of parallel line = 4/3

Equation of the line using point (−6,−5) and slope 4/3 is

We have the final answer as

Hope this helps you.

Answer:

B) Approximately 50%

Step-by-step explanation:

In any distribution of data, the data can be divided into 4 main quarters that are approximately equal in percentage.

Thus, the first quartile consists of approximately 25%, the second is 25%, third quartile about 25%, while the fourth is 25% also.

Therefore, in a data set distribution of students, approximately 50% of the distribution of students will fall within the first and third quartiles.

Answer:

(B) Approximately 50%

Step-by-step explanation:

First quartile is 1/4 and that is 25% of students in the distribution.

Third quartile is 3/4 and that is 75% of students in the distribution.

Between the first quartile and third quartile is automatically, 50% of the students in the distribution. The answer is (B) Approximately 50%.

Answer:

The answer is n = 31

Step-by-step explanation:

Equation:   2n + 13 = 75

2n = 75 - 13

2n = 62

n = 62/2

n = 31

check:

2*31 + 13 = 75

62 + 13 = 75

Answer: n = 31

Step-by-step explanation: Remember that the word sum mean addition.

So the sum of twice a number and 13 means 2n + 13 = 75.

So our equation is 2n + 13 = 75.

Now let's solve the equation.

Start by subtracting 13 from both sides to get 2n = 62.

Now, divide both sides by 2 and we have n = 31.

Answer:

The cosine of angle C is 5/13, or approximately 0.38.

Step-by-step explanation:

To solve this problem, we must remember what the cosine of an angle represents.  The cosine of an angle is equal to the ratio of the adjacent side divided by the hypotenuse.

From the diagram, we can determine that the adjacent side length is 10 and the hypotenuse is 26.

Therefore, the cosine of angle C is:

10/26 = 5/13 (simplified)

Hope this helps!

Answer: -9 and up

Step-by-step explanation: An integer is any whole number. An integer can be zero, greater than zero or less than zero. The integers greater than zero are the natural numbers.

Answer:

-7 through -1

Step-by-step explanation:

its more than -8 and less than 0 i had this question in 7th yr

Answer:

7 is not a solution for x.

Step-by-step explanation:

To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.

3x + 8 - x = 57 - 4

3(7) + 8 - (7) ?= 57 - 4

21 + 8 - 7 ?= 53

29 - 7 ?= 53

22 ?= 53  (( NO ))

Since 22 does not equal 53, 7 is not a solution for x.

Let's find the solution for x:

3x + 8 - x = 57 - 4

2x + 8 = 53

2x = 45

x = 22.5

Let's validate this solution for x:

3x + 8 - (x) = 57 - 4

3(22.5) + 8 - (22.5) ?= 57 - 4

67.5 + 8 - 22.5 ?= 53

45 + 8 ?= 53

53 == 53  (( YES ))

Since 53 is indeed equal to 53, then 22.5 is a solution for x.

Cheers.

Answer:

No, 7 is not a solution. x=11.25

Step-by-step explanation:

To find whether 7 is a solution, we can plug it in as x.

3(7)+8-7=57-4

21+15=53

36=53

No, 7 is not a solution.

We can find the solution by solving out the equation normally

3x+8+x=57-4

2x+8=53

2x=45

x=22.25

Answer:

Step-by-step explanation:

The time for each canoe is 3.5 hours

The total distance traveled by the first canoe is not known. Nor is the distance for the second canoe. We do know that the difference is 5.25 miles.

So let the rate of the slower canoe = x

Let the rate for the second canoe = 2x

The first canoe goes a distance of 2*x * 3.5 = 7x

The second canoe goes a distance of 3.5x

The difference = 7x - 3.5x = 5.25

3.5x = 5.25                                       divide by 3.5

x = 5.25/3.5

x = 1.5 which is the rate of the slower canoe

2x = 3  which is the rate of the faster canoe    

Answer:

c. Your liabilities exceed your assets.

Step-by-step explanation:

The negative net worth indicates option(C)  Your liabilities exceed your assets

This means you owe more money than assets that you own.

A liability is something a person or company owes, usually a sum of money

Here,

Negative net worth indicates option (C) Your liabilities exceeds your assets is negative net worth. Because this means you owe more money than assets that you own.

Other options are not indicating negative net worth

Hence,  the negative net worth indicates option(C)  Your liabilities exceed your assets

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Answer:

16x^2 - 8x - 3

Step-by-step explanation:

f(x) = 4x + 1

g(x) = 4x -3

f(x) * g(x) = (4x+1) * (4x-3)

(16x^2 - 12x + 4x -3)

Combine like terms

16x^2 - 8x - 3

that's your answer

The value of f (x) × g (x) will be;

⇒ 16x² - 8x - 3

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The value of function are,

⇒ f(x) = 4x + 1

⇒ g (x) = 4x - 3

Now.

Since, The value of function are,

⇒ f(x) = 4x + 1

⇒ g (x) = 4x - 3

Hence, We get;

⇒ f (x) × g (x) = (4x + 1) (4x - 3)

                    = 16x² - 12x + 4x - 3

                    = 16x² - 8x - 3

Thus, The value of f (x) × g (x)  = (16x² - 8x - 3)

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Answer:

A. 6 = 36

8 = 64

10 = 100

12 = 144

14 = 196

B. 340

C. 582

D.6= 36

7 =49

8 = 64

9= 81

10= 100