in the equation 3/4(x+8)=9 ,what does x equal

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

The given equation, the value of x is :

Solving the equation

        [tex]3/4(x+8)=9\\0.75(x+8)=9\\0.75x+6.00=9\\0.75x=3\\x=3/0.75\\x=4[/tex]

The value of x is 4 .

     

 


Related Questions

Edward had 45 water bottles. If he drank 1/9 of water bottles, how many did he drank?

Answers

Answer:

He drank 5 water bottles.

Step-by-step explanation:

We need to find one-ninth (1/9) of the total number of water bottles (45).

Multiply the two numbers together:

[tex]\frac{1}{9}*45[/tex]

[tex]=\frac{45*1}{9}[/tex]       Combine into numerator (top) to multiply

[tex]=\frac{45}{9}[/tex]         Simplify the fraction by dividing top by bottom

[tex]=5[/tex]        Answer

Therefore, Edward drank 5 water bottles.

5(n + 3) -7n when n = 1/2

Answers

Answer:

14

Step-by-step explanation:

Replace n with 1/2

5(1/2 + 3) -7(1/2)

17.5 - 3.5

=14

So, n=14

Answer:

14

Step-by-step explanation:

5(n + 3) -7n

putting value of n

5(1/2 + 3) - 7/2

5(0.5 + 3) - 3.5

5(3.5) - 3.5

17.5 - 3.5

14


A box measures 4 inches by 2 inches by 3 inches. Find the volume of the box
in cubic feet. Enter your answer as a fraction. Use the '/' as the fraction bar.
Do not include units in your answer.

Answers

Answer:

24/1

Step-by-step explanation:

Which expression is equivalent to (XY^−6)^2

XY^−36
x^2y^−12
x ^2y^12
xy^36

Answers

Answer:

answer is b

Step-by-step explanation:

look at picture shown

1 In a test, a hybrid car drove 619 yards on 1 fluid
ounce of gasoline. To the nearest tenth, what is
this rate in miles per gallon?
A. 7.5 mi/gal
B. 15 mi/gal
C. 22.5 mi/gal
D. 45 mi/gal

Answers

It’s d because u need to know how to divide

The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.

What is conversion?

Conversion means to convert the same thing into different units.

In a test, a hybrid car drove 619 yards on 1 fluid ounce of gasoline.

We know that 1 yard = 1/1760 miles. Then we have

619 yards = 619 x 1 / 1760 miles

We know that 1 fluid ounce = 1 / 128 gallons

The rate in miles per gallon will be

R = (619 / 1760) / (1 / 128)

R = 619 x 128 / 1760

R = 45 miles per gallon

The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.

More about the conversion link is given below.

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What is the solution to the system that is created by the equation y = negative x + 6 and the graph shown below? On a coordinate plane, a line goes through (0, 0) and (4, 2). (–8, –4) (–4, –2) (4, 2) (6, 3)

Answers

Answer:

The solution point is (4,2).

Step-by-step explanation:

Equation of straight line passing through the points (0,0) and (4,2) is given by

[tex]\frac{y - 2}{2 - 0} = \frac{x - 4}{4 - 0}[/tex]

⇒ 2y = x ............ (1)

And the other straight line is y = - x + 6 .............. (2)

Now, solving equations (1) and (2) we get, y = - 2y + 6

⇒ 3y = 6

y = 2

And from equation (1) we get, x = 2y = 4

Therefore, the solution point is (4,2). (Answer)

Answer:

C: (4,2)

Step-by-step explanation:


WILL GIVE BRAINLIEST

What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?

A) 2

B) 3

C) 4

D) 6

2)



Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?

A) 2

B) 4

C) 6

D) 8

3)

Kyle is purchasing a refurbished phone. He is looking at the phone models 4, 5, and 6, with a protective case in red (R), blue (B), or camo (C). What are all of the different choices he has?

A) {4, 5, 6}

B) {4R, 5B, 6C}

C) {4R, 4B, 4C, 5R, 5B, 5C}

D) {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}

4)

You are going to roll two dice What are the outcomes in the sample space?

A) {1, 2, 3, 4, 5, 6}

B) {2, 4, 6, 8, 10, 12}

C) {1-1, 2-2, 3-3, 4-4, 5-5, 6-6}

D) {1-1, 1-2, 1-3, 1-4, 1-5, 1-6, 2-2, 2-3, 2-4, 2-5, 2-6, 3-3, 3-4, 3-5, 3-6, 4-4, 4-5, 4-6, 5-5, 5-6, 6-6}

5)



Hannah is getting dressed for a party. She plans to wear either shorts or jeans, a red, blue or green shirt, and flip flops or tennis shoes. According to the tree diagram, how many possible outfits can she make?

A) 8

B) 10

C) 12

D) 14
1st pic is 2nd q and 2nd pic is for 5th q

Answers

Answer:

1.) C

2.) C

3.) D

4.) D

5.) C

Step-by-step explanation:

1.) Each coin has two possible outcomes, and they are two coins in total.

2 (outcomes) x 2 (coins) = 4 possible outcomes

*hint: Look at the 1st column of the diagram and count how many branches come from it

*another hint: The branches are equal to the number of H's and T's in the 2 Column (4 branches or 4 possible outcomes)

2.) Each coin has two possible outcomes, and they are three coins in total.

2 (outcomes) x 3 (coins) = 6 possible outcomes

*hint: Look at the number of branches coming from 3 of the H's and T's in the 2nd column. (6 total branches or possible outcomes)

3.) They are 3 different types of phones, and 3 different types of cases.

3 (phones) x 3 (cases) = 9 possible combinations

{4R,4B,4C,5R,5B,5C,6R,6B,6C,}

*hint: Count 3 cases for each phone and add them (9 total)

4.)Each Dice has 6 sides (cube) and there are 2 Dice. But Each side gets paired with another side, so

6 (sides) x 6 (sides) = 36 possible outcomes

A - Shows outcomes for 1 Dice

B - Shows sum for both Dice

C - Shows some possible combinations when they are both the same number

D - Shows some more possible combinations including those when both dice are not the same number

D Appears to be the best answer as it has more details

5.) 2 Types of bottom wear (shorts or jeans),  3 Types of shirts (red, blue, green) and 2 Types of shoes (flip flops or tennis shoes).

2 (bottom) x 3 (top) x 2 (feet) = 12 possible combinations

*hint: For each bottom wear (shorts or jeans) there are 6 possible combinations so multiplying by two will give you the amount for each one.

Answer:

2 is 8 :)

Step-by-step explanation:

What number is 80% of 65

Answers

Answer:

80% of 65 is 52

Step-by-step explanation:

Answer: 52

Step-by-step explanation: 65 x 0.80 = 52

To find a percent times the amount by percent.

9(6u+5)+2(u-4) need solved

Answers

Answer:

Step-by-step explanation:

Subtract  

6 u  from  2 u .

− 4 u + 9 = 19

Move all terms not containing  u  to the right side of the equation.

− 4 u = 10

Divide each term by  − 4  and simplify.

u = −  [tex]\frac{5}{2}[/tex]

The result can be shown in multiple forms.

Exact Form:

u = −  [tex]\frac{5}{2}[/tex]

Decimal Form:

u =− 2.5

Mixed Number Form:

u = −  2 [tex]\frac{1}{2}[/tex]

Anything on this page please! BIG POINTS! Please provide Explanations!

Answers

Answer:

Step-by-step explanation:

B. For roses you could sell 84 bunches of 14 roses. For tulips, you could sell 70 bunches of 18 tulips, and for gerberas, you could sell 75 bunches of 18 gerberas.

C. well 8 dollars times 84 is $672. 11 times 70 equals $770, and 9 times 75 is $675. in total $2,117.

D. i - 1176 well to start we add up all the digits to see if its sum is divisible by 9. 1+1+7+6=15. 15 is not a multiple of 9 so its not divisible.

   ii. 1260 well to see if 1260 is divisible by 8 is by taking the last 3 digits of the number and dividing it by 8. 260 divided by 8 equals 32.5. since 32.5 is a decimal and 8 can't go into 260 evenly 1260 is not divisible by 8.

If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

also did you know the word divisibility has 5 i's in it? lol also the picture is for number 1 or letter a.

Answer:

what he said :>

Step-by-step explanation:

That is 30/8 simplified

Answers

Answer:

3 3/4

Step-by-step explanation:

Answer:

15/4

in order to simplify you need to find the gcf (greatest common factor) and divide by that number on both numerator and denominator, since two is the gcf, 15/4 is the answer

the perimeter of a square with 2/3g cm sides without polynomial

Answers

Answer:

P = 2.7g/cm

Step-by-step explanation:

Perimeter (P) = 4×number of sides (S)

P = 4S

Where S = 2/3gcm

Therefore, P = 4 × 2/3

P = 8/3gcm or 2.66667~ 2.7g/cm

The height of a rectangular prism is 3 in.. The perimeter is 88 in. (4 in. wide and 11 in. long). What is the value of the base?

Answers

The base of a rectangular prism(b) = 41 in.

Step-by-step explanation:

Given,

The height of a rectangular prism(h) =  3 in and

The perimeter of a rectangular prism =  88 in

To find, the base of a rectangular prism(b) = ?

We know that,

The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l

2b + 2(3) = 88

⇒ 2b = 88 - 6

⇒ 2b = 82

⇒ b = 41 in

Thus, the base of a rectangular prism(b) = 41 in.

Rewrite the equation y=2|x−3|+5 as two linear functions f and g with restricted domains.

Please help

Answers

Answer:

f(x) = 2+5

g(x) = 2(-(x−3))+5

Step-by-step explanation:

If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2

So if  y = 2|x−3|+5

then the two possibilities are

y = 2(x−3)+5    and

y = 2(-)+5

Set one of them equal to f(x) and the other one to g(x)

f(x) = 2(x−3)+5

g(x) = 2(-(x−3))+5

You can also write it as a piecewise function.

[tex]y(x)=$\begin{array}{cc} \{ & \begin{array}{cc} -(x-3) & x<3 \\ 0 & x=3 \\ (x-3) &x>3 \end{array}\end{array}$[/tex]

Amelia’s hourly wage is $3.50 less than double David’s hourly wage. Write an equation to find David’s hourly wage

Answers

The equation to find David’s hourly wage is:

David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage

Step-by-step explanation:

The given is:

Amelia’s hourly wage is $3.50 less than double David’s hourly wage

We need to find an equation to find David’s hourly wage

Assume that:

Amelia's hourly wage is xDavid’s hourly wage is y

∵ Amelia’s hourly wage is $3.50 less than double David’s

   hourly wage

- That means multiply David’s hourly wage by 2, then

    subtract 3.50 from the product to get Amelia’s hourly wage

∴ x = 2y - 3.50

Now let us find y in terms of x

∵ x = 2y - 3.50

- Add 3.5 to both sides

∴ x + 3.50 = 2y

- Divide each term by 2

∴ [tex]\frac{1}{2}[/tex] x + 1.75 = y

- Switch the two sides

∴ y =  [tex]\frac{1}{2}[/tex] x + 1.75

∵ y represents David’s hourly wage

∴ David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents

   Amelia’s hourly wage

The equation to find David’s hourly wage is:

David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage

Learn more:

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Question 2
Sarah opens a savings account that has a 2.75% annual interest rate, compounded monthly. She deposits $500 into the
account. How much will be in the account after 15 years?
$500.00
$754.94
$1255.27
$255.27

Answers

Therefore $754.94 will be in account after 15 years.

Step-by-step explanation:

Given , Sarah opens a saving account that has a 2.75% annual interest rate , compounded monthly. She deposits $500 into the account.

P = $500, r = 2.75% = 0.0275 , t = 15 years and n= 12

[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]

                 [tex]=\$500(1+\frac{0.0275}{12})^{(12\times15)}[/tex]

                  =$754.94

Therefore $754.94 will be in account after 15 years.

Final answer:

After 15 years with a 2.75% annual interest rate, compounded monthly, an initial deposit of $500 in a savings account will grow to approximately $754.94.

Explanation:

The student has asked how much money will be in a savings account after 15 years with an initial deposit of $500 if the account has a 2.75% annual interest rate, compounded monthly. To calculate the future value of this account, we can use the compound interest formula:

A = P (1 + r/n)^(nt)

Where:

Here, P is $500, r is 0.0275 (2.75% expressed as a decimal), n is 12 (since the interest is compounded monthly), and t is 15 years.

So, the calculation is:

A = $500 * (1 + 0.0275/12)^(12*15)

By computing this, we can determine the future value of the savings account after 15 years:

A ≈ $500 * (1 + 0.00229167)^(180)

A ≈ $500 * (1.00229167)^180

A ≈ $500 * 1.510383954

A ≈ $754.94

Therefore, the amount in the savings account after 15 years will be approximately $754.94.

If an arrow is shot upward on Mars with a speed of 54 m/s, its height in meters t seconds later is given by

y = 54t − 1.86t2.

(Round your answers to two decimal places.)

(a) Find the average speed over the given time intervals.

(i) [1, 2]

m/s


(ii) [1, 1.5]

m/s


(iii) [1, 1.1]

m/s


(iv) [1, 1.01]

m/s


(v) [1, 1.001]

m/s



(b) Estimate the speed when t = 1.

m/s

Answers

The average speed calculated over the given time intervals is

48.42 m/s, 49.35 m/s, 50.09 m/s, 50.26 m/s, and 50.29 m/s. The estimated speed when t = 1 is 50.28 m/s.

Given formula is y = 54t - 1.86t²

Speed = dy/dt = 54 - 3.72t

a) Average speed over the time intervals given below are:

In [1, 2] time interval, it is [tex]\frac{54t - 1.86t^{2} }{2-1} = \frac{54t - 1.86t^{2} }{1}[/tex] = 48.42 m/sIn [1, 1.5] time interval, it is[tex]\frac{54t - 1.86t^{2} }{1.5-1} = \frac{54t - 1.86t^{2} }{0.5}[/tex] = 49.35 m/sIn [1, 1.1] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.1-1} = \frac{54t - 1.86t^{2} }{0.1}[/tex] = 50.09 m/sIn [1, 1.01] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.01-1} = \frac{54t - 1.86t^{2} }{0.01}[/tex] = 50.26 m/sIn [1, 1.001] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.001-1} = \frac{54t - 1.86t^{2} }{0.001}[/tex]= 50.29 m/s

b) When t = 1, the speed is v = 50 - (3.72*1) = 50.28 m/s

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solve if 2/3 + 1/3x = 2x​

Answers

Answer:

x = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] x = 2x

Multiply through by 3 to clear the fractions

2 + x = 6x ( subtract x from both sides )

2 = 5x ( divide both sides by 5 )

[tex]\frac{2}{5}[/tex] = x

Answer:     x=2/5

Step-by-step explanation:

Trust me

Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. The fabric for the blanket cost $1.25 per square yard and the ribbon costs $.50 per foot. What is the approximate total cost for the blanket? A) $1.75 B) $10.08 C) $20.84 D) $26.75 E) $32.48

Answers

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

L is the length of the rectangleW is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = [tex]\frac{1}{3}[/tex] yard

∴ 1 foot² = [tex](\frac{1}{3})^{2}=\frac{1}{9}[/tex] yard²

∴ 15 feet² = 15 × [tex](\frac{1}{9})[/tex] = [tex]\frac{5}{3}[/tex] yards²

The area of the blanket is  [tex]\frac{5}{3}[/tex] yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  [tex]\frac{5}{3}[/tex] × 1.25

The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what could be the dimensions of the rug?

Answers

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, [tex]18 inches = 1.5 ft[/tex]

Thus, the length of the rug is [tex]l=1.5+w[/tex]

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

[tex]A=length\times width[/tex]

[tex]10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0[/tex]

Solving the expression using the quadratic formula,

[tex]$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]

Substituting the values, we have,

[tex]$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\[/tex]

[tex]$w=\frac{-15 \pm \sqrt{4225}}{20}$[/tex]

[tex]$w=\frac{-15 \pm 65}{2 0}$[/tex]

Thus,

[tex]w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5[/tex]  and   [tex]w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4[/tex]

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting [tex]w=2.5[/tex] in [tex]l=1.5+w[/tex], we get,

[tex]l=1.5+2.5\\l=4[/tex]

Thus, the length of the rug is 4 ft.

It's A

length 4 and width 2.5

Lacey can type 105 words in 3 minutes. At this rate, how many words can she type in 26 minutes

Answers

She can type 910 words in 26 minutes .
this is a proportion problem. set the two over fractions and equal them to each other. you should have x, or any variable, in place for the number of words she will type in 26 minutes, since this is what we are solving for. cross multiply and divide and you get the answer for x, which is 910.
x= 910

The slope of a line that is perpendicular to a line whose slope is -2/7 is

Answers

the slope would be 7/2

Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 orders per day and Frank and Kathy can do 850 orders per day. How many can each do in a day?

Answers

(1) x+y+z=1300
(2) x+y=780 => x = 780 - y
(3) y+z=850 => z = 850 - y

Replace x and z with y in function (1)

780 - y + y + 850 - y = 1300
1630 - y = 1300
y = 330

Therefore, x = 780 - y = 780 - 330 = 450
z = 850 - y = 850 - 330 = 520

Dave can do 450 catalog orders per day
Frank can do 330 catalog orders per day
Kathy can do 520 catalog orders per day

What fraction is it equivalent to 9/20

Answers

Answer: 18/40 and 27/60

Step-by-step explanation:

Multiply the numerator and denominator by whatever number it needs to be multiplied by

9*2 to get 18

20*2 to get 40

9*3 to get 27

20*3 to get 60

What is one whole and three fourths plus five sixths plus one whole and one fourth

Answers

Answer:

First of all  cant give u the anssswer i am srry but i can give u a hint u need to find eqivelent fractions for the denominators then u can add them

Step-by-step explanation:

Answer: The answer is Three whole and five sixths (3 5/6)

Step-by-step explanation: One whole and three fourths can be expressed as 1 3/4, and this is added to five sixths, that is, 5/6. therefore these can be expressed as

[1 3/4 + 5/6}

The other part of the questions says one whole and one fourth which can be expressed as 1 1/4.

The entire question can now be written out as

[1 3/4 + 5/6] + [1 1/4]

We would start by solving for the left hand side of the expression

1 3/4 + 5/6

= 7/4 +5/6

By using a common denominator which is 12 (the LCM), the expression now becomes,

[21 + 10]/12

= 31/12

We can now add this to the right hand side of the expression. Thus,

[31/12] + 1 1/4

=31/12 + 5/4

By using a common denominator which is also 12, the expression now becomes,

[31 + 15]/12

= 46/12, By simplifying further we arrive at,

23/6.

Written as a proper fraction, this becomes

3 5/6 (Three whole and five sixths)

Find the volume
4 3/4 cm
3cm
7 1/5 cm? need help asap​

Answers

Step-by-step explanation:

hope the answer will helpful

when a=2 b=3 and c=5 what is the value of a(b+c)

solve and show how you got the answer

Answers

Answer:

16

Step-by-step explanation:

If we plug in all the variables, we get 2(3+5)

Evalutation: 2(3+5)=2(8)=16

So the value is 16

Hope this helped!

Answer:

16

Step-by-step explanation:

a =2

b = 3

c =5

a(b +c)

2(3+5)

2x3 + 2x5

6 + 10

16

i need help with both of them i will give you 25 points
plz help

Answers

Answer:

1)m<DCH =89

2)m<BCD=103

Step-by-step explanation:

1) We have that:

m<EFB=91 degree.

We want to find m<DCH.

By same side interior angle property:

m<DCH +m<EFB=180

m<DCH +91=180

m<DCH=180-91

m<DCH =89

2) Given that: m<HFG=103, we seek to find m<BCD.

By the alternate exterior angle property:

m<HFG=m<BCD

Therefore

m<BCD=103

The length of the major axis of the ellipse below is 17, and the length of the
red line segment is 6. How long is the blue line segment?

Answers

Answer:

Option C. 11

Step-by-step explanation:

If a point P lies on an ellipse, The sum of distances between the point p and the foci will be equal the major axes.

So, applying the previous rule to the problem

The red line + the blue line = major axis

6 + the blue line = 17

So, the blue line = 17 - 6 = 11

The answer is option C. 11

When solving graphically ,which system of equations will have exactly one point of intersection

Answers

Answer: you still need help? let me know okay UwU

Step-by-step explanation:

When solving graphically ,which system of equations will have exactly one point of intersection.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Let consider an example.

Consider the slope-intercept form of equations: y = -6x+8  and y=-3x-4

Since the slopes are different, the lines must intersect.

Because the lines intersect at a point, there is one solution to the system of equations the lines represent.

Hence, when solving graphically, the linear system of equations will have exactly one point of intersection.

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usually 1/1000 of the headphones cannot pass the tests . if they found 5 headphones failing, how many headphones did the workers test? Solve write or draw to explain Saul and Luisa each scored 167 points on computer games How many points did they score together How high is a tree that casts a 2222-ftft shadow at the same time a 44-ftft postpost casts a shadow which is 77-ftft long? In April 2017, the working-age population of the United States was 254.6 million. The working-age population is divided into those in the labor force (160.2 million) and those not in the labor force (94.4 million). The labor force is divided into the employed (153.2 million) and the unemployed (7.1 million). Those not in the labor force are divided into those not available for work (88.7 million) and those available for work (5.7 million). Finally, those available for work but not in the labor force are divided into discouraged workers (0.5 million) and those currently not working for other reasons (5.2 million).Use this data to help determine which one of the following statements is true: How did Shi Huangdi reforms improve society (Three reasons) In this environment, the color of Sea Lampreys is an example of: Select one: a. A consequence of non-random mating. b. Natural selection. c. A heterozygous advantage. d. An adaptation. 2 PointsWhat did John Muir fight for?OA. Workers' rightsOB. Women's suffrageOC. Environmental protectionOD. Population controlSUBMIT How do you evaluate 2x3x5 In a box containing 25 cherries, 2 of them are rotten. Susan randomly picks cherries in the box. How many cherries should be picked so that the probability of having exactly 2 rotten cherries among them equals 1/20? a new stadium will seat 83,820. There will be 132 different sections. If each section seats same number of people, how many people will each section seat? Juanita lifts a round box and a square box to a shelf. The gravitational potential energy (GPE) for the round box increases by 50 J. The GPE for the square box increases by 100 J. On which box did Juanita do more work? Explain your reasoning. The process through which individuals and groups shape their reality through social interaction is known as ______. The Pfund series of lines in the emission spectrum of hydrogen corresponds to transitions from higher excited states to the n = 5 orbit. Calculate the wavelength of the second line in the Pfund series to three significant figures. In which region of the spectrum does it lie? You own a bond that has an 8 percent coupon and matures 8 years from now. You purchased this bond at par value when it was originally issued. If the current market rate for this type and quality of bond is 8.25 percent, then you would expect Determine the moles of H+ reacting with the metal based on the following experimental data. 10.00 mL of 1.00 M HCl solution is added to a sample of Mg metal. The reaction goes to completion and all of the Mg metal is gone. 21.80 mL of 0.30 M NaOH solution is required to reach the end point when titrating the remaining HCl. what is the a, b, and r for y=3.6(1.25)^x If the eyepiece of a compound microscope has a magnification power of 10X and the objective lense has a magnification power of 4X, what is the total magnification of the microscope at this setting? A company produces a certain product, and each unit of this product may have 3 different types of defects. Let Di, D2,Ds represent the three different kinds of defects. Suppose further that for each unit produced P(D) = .07 P(D) = .12 P(Ds) = .05 P(D, U Ds) = .14 P(Din D2nDs) = .01 (a) What is the probability that a unit does not have a type 1 defect? (b) What is the probability that a unit has both a type 2 and 3 defect? (c) What is the probability that a unit has both a type 2 and 3 defect, but not a type 1 defect? (d) What is the probability that a unit has at most two defects? 25 Points. The function f(x) = 4x + 3 represents the length of a rectangle. The function g(x) = 2x 5 represents the width of the rectangle. Use (f g)(4) to determine the area of the rectangle. 57 19 16 3 Homeotic genes contain a homeobox sequence that is highly conserved among very diversespecies. The homeobox is the code for that domain of a protein that binds to DNA in aregulatory developmental process. Which of the following would you then expect?A) That homeotic genes are selectively expressed over developmental time.B) That a homeobox containing gene has to be a developmental regulator.C) That homeoboxes cannot be expressed in non homeotic genes.D) That all organisms must have homeotic genes.E) That all organisms must have homeobox containing genes.