first correct answer gets best marks ​

First Correct Answer Gets Best Marks

Answers

Answer 1

Answer:

the answer would be x is less than 6.

Step-by-step explanation:

the reason why it would not be x is less than or equal to 6 is that the circle is not filled in.

Answer 2

Answer:

B

Step-by-step explanation:

x≤6

We can see from the graph that it starts from 6 and goes to 5, 4, 3, 2.

Hope this helps ;) ❤❤❤


Related Questions

help me really urgent​

Answers

Answer: y = 1, 0, 1, 4, 9, 16, 25

Explanation:
Y = x^2 + 4x + 4 = (x+2)^2

When x = -3:

y = (-3+2)^2 = -1^2 = 1

When x = -2:

y = (-2+2)^2 = 0^2 = 0

Keep plugging x from -3 to 3 to find the y value

I need a. Correct answer I’ll mark brainliest

Answers

Answer:

7^11 / 4^11

Step-by-step explanation:

( 7/4) ^ 11

We know that ( a/b) ^c = a^c / b^c

7^11 / 4^11

Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

Step-by-step explanation:

There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]

So we can apply this rule to this problem.

[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

3. Callum rolled a single six sided die 12 times and it landed on a six, three of the times. The probability that it will land on a six on the 13th roll is?

Answers

Answer:

1/6

Step-by-step explanation:

Each roll is independent.  So the probability of rolling a six is 1/6, regardless of the previous rolls.

Bengus the expert blacksmith forged 32 swords from copper, twice as many swords from iron, and 19 swords from mythril. Estimate how many swords Bengus forged.

Answers

Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril.  Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

Hope it helps <3

Answer:

110

Step-by-step explanation:

no need

What is the value of 13 squared?​

Answers

Answer: 169

Step-by-step explanation:

13 squared = 13*13

Simply plug this into a calculator to get 169

Hope it helps <3

Answer:

169

Step-by-step explanation:

the answer is 169 because u will square the 13

As mountain climbers know, the higher you go, the cooler the temperature gets. At noon on July 4th last summer, the temperature at the top of Mt. Washington — elevation 6288 feet — was 56◦F. The temperature at base camp in Pinkham Notch — elevation 2041 feet — was 87◦F. It was a clear, still day. At that moment, a group of hikers reached Tuckerman Junction — elevation 5376 feet. To the nearest degree, calculate the temperature the hikers were experiencing at that time and place. When you decided how to model this situation, what assumptions did you make?

Answers

Answer:

a. 63 °F

b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.

Step-by-step explanation:

a. To model this situation, we assume the temperature varies inversely as elevation decreases since at elevation 6288 ft the temperature is 56 °F and at elevation 2041 ft, the temperature is 87 °F

So, we model this as a straight line.

Let m be the gradient of the line.

Let the (6288 ft, 56 F) represent a point on the line and (2041 ft, 87 °F) represent another point on the line.

So m = (6288 ft - 2041 ft)/(56 °F - 87 °F) = 4247 ft/-31 °F = -137 ft/°F

At elevation 5376 ft, let the temperature be T and (5376 ft, T) represent another point on the line.

Since it is a straight line, any of the other two points matched with this point should also give our gradient. Since in the gradient, we took the point (6288 ft, 56 °F) first, we will also take it first in this instant.

So m = -137 ft/ °F = (6288 ft - 5376 ft)/(56 °F - T)

-137 ft/°F = 912 ft/(56 °F - T)

(56 °F - T)/912 ft = -1/(137 ft/ °F)

56 °F - T = -912 ft/(137 ft/°F)

56 °F - T = 6.66 °F

T = 56 °F + 6.66 °F

T = 62.66 °F

T ≅ 62.7 °F

T ≅ 63 °F to the nearest degree

b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.

the question is in the attachment...

Answers

Answer:

Rest of the part will be = x - 5x/10- x/10

solution will be 4x/10 i.e 4/10 part of the garden

Step-by-step explanation:

Let the sum total of parts of garden be x

If it is divided into 10 equal parts then

one part will be equal to x/10

Given carrots are planted on 5/10 of the garden

parts on which garden is planted = 5/10 * total part of garden = 5x/10

Given peas are planted on 1/10 of the garden

parts on which peas are is planted = 1/10 * total part of garden = x/10

On rest of the part corn is planted.

Rest of the part will be = total parts of garden - part on which carrots are planted - part on which carrots are planted

Rest of the part will be = x - 5x/10- x/10 = (10x-5x-x)/10 = 4x/10

Model will be

Rest of the part will be = x - 5x/10- x/10

solution will be 4x/10 i.e 4/10 part of the garden

Can anyone answer this?

Answers

Answer:

Because the triangle is isosceles, the base angles are congruent. Since the sum of angles in a triangle is 180° we can write:

24 + x + x = 180

24 + 2x = 180

2x = 156

x = 78°

Answer:

[tex]\boxed{x=78}[/tex]

Step-by-step explanation:

The triangle is an isosceles triangle.

The two base angles are equal.

Angles in a triangle add up to 180 degrees.

x + x + 24 = 180

Combine like terms.

2x + 24 = 180

Subtract 24 on both sides.

2x = 156

Divide both sides by 2.

x = 78

Where L is the length, in feet, of the pendulum, and π is approximately 22 7 . How long must the pendulum be if one complete cycle takes 8 seconds?

Answers

Answer:

Length L = 51.88 feet

Step-by-step explanation:

From the given information,

The length of the pendulum can be determined by using the Formula for the period T which  is the time of one full oscillation of a simple pendulum.

[tex]T = 2 \pi \sqrt {\dfrac{L}{g}}[/tex]

where;

T = period of the time of one full oscillation = 8 seconds

L = length in feet

g = acceleration due to gravity in  feet = 32 ft/s²

π = 22/7

[tex]8 = 2 \times \dfrac{22}{7} \times \sqrt {\dfrac{L}{32}}[/tex]

[tex]8 = 6.2857 \times \sqrt {\dfrac{L}{32}}[/tex]

[tex]\dfrac{8}{6.2857} =\sqrt {\dfrac{L}{32}}[/tex]

[tex]1.273=\sqrt {\dfrac{L}{32}}[/tex]

[tex]1.273= {\dfrac{\sqrt L}{ \sqrt {32}}}[/tex]

[tex]1.273 \times { \sqrt {32}}}= {\sqrt L}[/tex]

[tex]7.2012= {\sqrt L}[/tex]

L = 7.2012²

L = 51.88 feet

PLEASE HELP If f(x) = 2x-1 + 3 and g(x) = 5x - 9, what is (f-g) (x)

Answers

Answer:

  2^(x-1)  -5x +12

Step-by-step explanation:

f(x) = 2^(x-1) + 3

g(x) = 5x - 9

(f-g) (x) =  2^(x-1) + 3 - ( 5x-9)

Distribute the minus sign

             2^(x-1) + 3 -  5x+9

Combine like terms

             2^(x-1)  -5x +12

help me pls with this complete a and B I will give you brainliest if answer is correct:-)​

Answers

Answer:

a) Multiplied by 1.04

b)160(1.06)=169.6

Step-by-step explanation:

Its increasing so (1+4%) will be what it multiplied to.

Hope it helps u

160(1+6%)=169.6

The coordinates of A, B, and C in the diagram are A (p, 4), B (6, 1 ), and C (9, q). Which equation correctly relates p and q? ↔ ↔ ↔ ↔ Hint: Since AB is perpendicular to BC, the slope of AB × the slope o BC = -1. A. -q − p = 7 B. q − p = 7 C. p − q = 7 D. p + q = 7

Answers

Answer:

  D.  p + q = 7

Step-by-step explanation:

The slope of AB is ...

  mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)

The slope of BC is ...

  mBC = (q -1)/(9 -6) = (q -1)/3

We want the product of these slopes to be -1:

  mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)

  -(q-1)/(6 -p) = -1 . . . . cancel factors of 3

  q -1 = 6 -p . . . . . multiply by -(6 -p)

  q + p = 7 . . . . . matches choice D

Answer:

C p+q=7

Step-by-step explanation:

I did it on plato and it was right

So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one face of the cube b: use this answer to determine a polynomial that represents the length of an edge of the cube c: what is the length of an edge of the cube when r = 3 cm

Answers

Answer:

a. 4r² b. 2r c. 6 cm

Step-by-step explanation:

The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.

Now, equating both expressions, 6L² = 24r²

dividing both sides by 6, we have

6L²/6 = 24r²/6

L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².

b.  Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have

√L² = √4r²

L = 2r

So, the polynomial that represents the length of an edge of the cube is L = 2r

c. The length of an edge of the cube is L = 2r. When r = 3 cm.

L = 2r = 2 × 3 cm = 6 cm

So, the length of an edge of the cube is 6 cm.

i neeeed help quickkkk

Answers

Answer:

20 hours

Step-by-step explanation:

If your computer can download a movie in 5 hours, then it downloads [tex]\frac{1}{5}[/tex] of a movie in 1 hour.

The extra processor in 1 hour, reduces the time down to 5 hours, so it downloads [tex]\frac{1}{4}[/tex] of the movie in 1 hour.

The time that the extra processor will spend to download a whole movie added to  [tex]\frac{1}{5}[/tex] will equal [tex]\frac{1}{4}[/tex] .

So our equation is [tex]\frac{1}{5} + \frac{1}{x} = \frac{1}{4}[/tex].

To simplify this, lets multiply all sides by 20x.

[tex](\frac{1}{5}+\frac{1}{x} \cdot 20x) = \frac{1}{4}\cdot20x\\ 4x + 20 = 5x[/tex]

Now we can simplify this equation.

[tex]20 = 5x-4x\\\\20 = x\\x = 20[/tex]

So the extra processor alone would take 20 hours to download the movie.

Hope this helped!

Your answer is 20 hours

Which choice is equivalent to the expression below?
V-64

Answers

Answer: E) 8i

Explanation:

By definition, i = sqrt(-1)

Which means,

sqrt(-64) = sqrt(-1*64)

sqrt(-64) = sqrt(-1)*sqrt(64)

sqrt(-64) = i*sqrt(8^2)

sqrt(-64) = i*8

sqrt(-64) = 8i

On the second line, I used the rule sqrt(x*y) = sqrt(x)*sqrt(y). The fourth line used the rule sqrt(x^2) = x when x is nonnegative.

Answer:

Click 8i for Correct Answer

Step-by-step explanation:

Evaluate the expression 2x – xy for x=− 1/2 and y=8

Answers

Answer:

3

Step-by-step explanation:

2x-xy

2(-1/2)-(-1/2)(8)

-1+4

=3

The measure of each exterior angle of a regular polygon is 30 degrees. How many sides does the polygon have

Answers

Answer:

12 sides

Step-by-step explanation:

To find the number of sides, use a formula.

[tex]\frac{360}{\theta }=n[/tex]

θ is the measure of each exterior angle of the regular polygon.

n is the number of sides of the regular polygon.

[tex]\frac{360}{30} =12[/tex]

f(x)=x^2-3x-2 is shifted 4 units right. The result is g(x). What is g(x)?

Answers

Answer:

[tex]\boxed{\mathrm{C.}\:\: g(x)=(x-4)^2-3(x-4)-2}[/tex]

Step-by-step explanation:

The function is shifted 4 units right.

The value of x in the function is subtracted from 4, because this is a horizontal translation.

[tex]f(x)=x^2-3x-2[/tex]

[tex]g(x)=(x-4)^2-3(x-4)-2[/tex]

Answer:

c

Step-by-step explanation:

if you shift to the right funnily enough, you have to "compensate" for that by SUBTRACTING the number of units.

EXTRA

To check, use a simple function f(x)= x²

The top of this parabola is at (0,0).

We want to check if g(x) = (x-4)² is the right function....

Now if f(x) is shifted 4 units right than all variables with x in them, need to be compensated for. The question is do you need to add or subtract...

We know that the result is g(x), and we know that the top of g(x) would end up at (4,0).

For that to happen you need to compensate with g(x) = (x-4)²

Now check if (4,0) is on g(x) by substituting x=4. if the result turns out to be 0, then you know it is ok...

Substituting x=4 indeed results to

4-4 = 0, so (4,0) is on g(x).

Conclusion, by checking this one special value, you now know you have found the correct compensation factor!

Find the volume of the prism.

لا
A. 120 cm3
B. 630 cm2
C. 120 units2
D. 120 units 3​

Answers

First, let's find the area of the triangle:

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}\times3\times4=6[/tex]

Now, we multiply this area by the length of the prism, which is 20

[tex]20\times6=120[/tex]

All 3 answers have 120. However, since we're calculating volume, it will be represented by [tex]\text{units}^3[/tex]. Since no specific unit (such as cm or in) is specified, it will be left at that.

Thus, the answer is answer choice D.

Let me know if you need any clarifications, thanks!

The volume of prism is 120 unit³.

The correct option is D.

What is Volume?

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.

First, Area of Triangle

= 1/2 x b x h

= 1/2 x 3 x 4

= 3 x 2

= 6

So, the volume of prism is

= 6 x 20

= 120 unit³

Thus, the volume of prism is 120 unit³.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ5

Paul is a year older than his wife and they have two children who are also one year apart. Paul notices that on his birthday in 2011, the product of his age and his wife's age plus the sum of his children's ages is 2011. What would have been the result if he had done this calculation thirteen years before?

Answers

Answer:

997

Step-by-step explanation:

Well let's find the square root of 2011 because Paul and his wife are about the same age.

[tex]\sqrt{2011}[/tex]

= 44.8

Paul is 45 and his wife is 44.

44 + 45 = 1980.

2011 - 1980

= 31

So the children are 15 and 16.

45 + 44 + 15 + 16

= 997

Paul and wife - 45 and 44

Children - 15 and 16

Thus,

13 years ago they would be 997.

Hope this helps :)

If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 4, what is the equation of the new function?

Answers

Answer:

f( x ) = 4( [tex]2^x[/tex] )

Step-by-step explanation:

If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.

Therefore, the previous function is expressed by the following ...

f( x ) = [tex]2^x[/tex] ... then this new function should be -

f( x ) = 4( [tex]2^x[/tex] )

The equation of this new function is f( x ) = 4( [tex]2^x[/tex] )

what are two ways to solve this equation.

Answers

Answer:

x = - [tex]\frac{96}{23}[/tex]     or   x=  4.1739

Step-by-step explanation:

[tex]\frac{3x}{8}[/tex]  -  [tex]\frac{4x}{3}[/tex]  =  4

I will show  two methods  of solving this equation

First method

We will follow the steps below:

First find the LCM of 8 and 3

The LCM of 8 and 3 is 24

Next is to multiply through by 24

Our equation becomes

24 ×[tex]\frac{3x}{8}[/tex]  - 24× [tex]\frac{4x}{3}[/tex]  = 24× 4

3×3x    -  8×4x    =24×4

9x  -  32x   = 96

-23x = 96

Divide both-side of the equation by - 23

-23x/-23= 96/-23

x=-[tex]\frac{96}{23}[/tex]        or      x=4.1739

second method

[tex]\frac{3x}{8}[/tex]  -  [tex]\frac{4x}{3}[/tex]  =  4

[tex]\frac{9x - 32x}{24}[/tex]   =   4

multiply both-side of the equation by 24   or cross multiply

9x - 32x = 96

-23x = 96

divide both-side of the equation by -23

x = - [tex]\frac{96}{23}[/tex]     or   x=  4.1739

Please help.. tysm if you do

Answers

Answer:

the answer is option A one graph

and I think or am sure it is correct ans.

At the souvenir shop. Theo buys k key chains and p photo frames
where each chain and frame costs $2.49. He also buys a T-shirt for
$5.99. What is the total cost of Theo's purchases in terms of k and p?

Answers

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

Cost of p photo frames=$2.49

Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Which relationships have the same constant of proportionality between yyy and xxx as the following graph?

Answers

The constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3

For us to determine the constant of proportionality of the given graph, we must first find the equation of the line.

The standard equation of a line is expressed as y = mx + b

m is the slopeb is the y-intercept

Using the coordinate points (0, 0) and (2, 6)

Get the slope "m"

[tex]m=\frac{6-0}{2-0}\\m=\frac{6}{2}\\m=3[/tex]

Since the line passed through the origin, the y-intercept is 0

Get the required equation:

y = mx + b

y = 3x + 0

y = 3x

From the equation, the constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3

Learn more here: https://brainly.com/question/13441754

There are 20 girls and 26 boys on the tennis team . What is the ratio of the number of girls to the total number of players on the team

Answers

Answer: 10:23

Working out:
20+26=46
20:46=10:23

Working out explained:
20+26=46
(This is the total number of people in the team)
20:46 = 10:23
(This is the ratio of the girls to the whole team and the 2nd is simplified answer)

Answer:

10:23

Step-by-step explanation:

Total number of players on the team = 20 + 26 = 46 players

Number of girls = 20

Ratio of the number of girls to the number of players on the team = 20/46 = 10/23 = 10:23

Ratio is 10:23

What is the value of x?

Answers

Answer:

The Answer is 180

Step-by-step explanation:

HELP ASAP MONEY & WAGES

Answers

Answer:  Annual Gross Income = $55,489.20

               Annual Net Income = $46,439.72

Step-by-step explanation:

Total hours worked per week = 3(10) + 5 + 11 = 46

Regular hours worked = 3(8) + 5 + 8 = 37

Overtime hours worked = 3(2) + 0 + 3 = 9

Weekly Tips at 20% of $60 for 46 hours:

0.2(60)(46) = $552.00

Annual tips = $552.00 x 52 weeks = $28,704.00

Weekly Regular pay at $10.20 per hour for 37 hours:

10.20(37) = $377.40

Annual regular pay = $377.40 x 52 weeks = $19,624.80

Weekly Overtime pay at time and a half for 9 hours:

10.20(1.5)(9) = $137.70

Annual overtime = $137.70 x 52 weeks = $7,160.40

Total Annual Gross Income = Tips + Regular Pay + Overtime

$28,704.00 + $19,624.80 + $7,160.40 = $55,489.20

****************************************************************************************

Deductions (per question 5):

a) Pension at 5% = $55,489.20(0.05) = $2,774.46

b) Employee Insurance at 2.4% = $55,489.20(0.024) = $1,331.74

c) Income Tax at 0% for $0-$11,000 = $11,000(0) = 0

   Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120.00

   Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000.00

   Income Tax at 15% for $50,000-$100,000 = $5,489.2(0.15) =$823.38

Total Income Tax = $4,943.28

Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:

$55,489.20 - $2,774.46 - $1,331.74 - $4,943.28 = $46,439.72

Write as an algebraic expression and simplify if possible: *150% of 50% of z whoever answers the fastest gets brainliest

Answers

Answer:

3z/4

Step-by-step explanation:

Here, we start by calculating the 50% of z

mathematically, that would be 50/100 * z = 50z/100 = z/2

Now we want to calculate the 150% of this.

That would be 150/100 * z/2 = 150z/200 = 3z/4

PLEASE ANSWER ASAP WITH AN EXPLANATION
The eighth grade class at Seven Bridges Middle School has 93 students. Each student takes a current events class, a foreign language class, or both a current events class and a foreign language class. There are 70 eighth graders taking a current events class, and there are 54 eighth graders taking a foreign language class. How many eighth graders take only a current events class and not a foreign language class?

Answers

Answer:

39 students

Step-by-step explanation:

let x represent the number of students taking both current event and foreign language

there are : 70 eight grader taking current event and 54 taking foreign

70+54-x=93

-x=93-124

x= 31 students taking both

number of eighth graders take only a current events class and not a foreign language class: 70-31=39 students

Other Questions
WILL GIVE BRALIEST!!!! PLEASE HELP FOR THESE ARE MY LAST QUESTION!!! AT LEAST TAKE A LOOK!!! EASY I AM JUST DUMBWhich aspect of a trend or event are you likely to emphasize in a well-written analytical research report? A) its most surprising elementsB) its impact on cultureC) any key terms and their definitionsD) the history of the trend Is depreciation defined as spreading costs over time? Why are legumes self sufficient when it comes to nitrogen?A. They have a different way of creating proteins that does not require nitrogen.B. They have an organic process for using atmospheric nitrogen.C. They have nitrogen fixing bacteria in their roots that converts nitrogen to nitrates for them.D. They have bacteria that make them immune to eutrophication. Plzzzzzzzzzzzzzzzzzzzzzz find the hcf of 15ab and -24ab 9. A college financial advisor wants to estimate the mean cost of textbooks per quarter for students at the college. For the estimate to be useful, it should have a margin of error of 20 dollars or less. The standard deviation of prices is estimated to be around 100 dollars. How large of a sample size needs to be used to be 95% confident, with the given margin of error? The exchange rate for US dollars is 1=$1.62.How many dollars will I get for a) 3. b)50p. c) 2.60 d) 5.63Round your answer to 2 decimal places. Susan placed $9900 in a savings account which compounds interest continuously at a rate of 1.9 %. How much will she have in the account after 6 years? Julie gathered data about the numbers of pages and chapters in several books by her favorite author.The equation of the line of best fit is y = 15.261x + 8.83. Based on the line of best fit, approximately how many pages are predicted to be in a book with 8 chapters? A. 113 B. 122 C. 131 D. 193 To which set or sets below does the number -7/8 belongs to ? A________outline should focus on the material of the speech. This includes refining your thesis and specific purpose statement, and ensuring all your main points are well-supported. Please help will mark brainly The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.A 2-row table with 10 columns. The first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. The second row is labeled temperature (degrees Celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.According to the line of best fit, at what time will the temperature reach 100C, the boiling point of water? In this exercise, we estimate the rate at which the total personal income is rising in a metropolitan area. In 1999, the population of this area was 924,900, and the population was increasing at roughly 9400 people per year. The average annual income was $30,388 per capita, and this average was increasing at about $1400 per year (a little above the national average of about $1225 yearly). Use the Product Rule and these figures to estimate the rate at which total personal income was rising in the area in 1999. help me helpppp the last words are experience a total Moraine, Inc., has an issue of preferred stock outstanding that pays a 3.50 dividend in perpetuity. If this issue currently sells for 85 per share, what is the required return The Escobar family and the Johnson family each used their sprinklers last month. The water output rate forthe Escobar family's sprinkler was 20 gallons per hour. The water output rate for the Johnson family's sprinkler was40 gallons per hour. The families used their sprinklers for a combined total of 32 hours, resulting in a total wateroutput of 960 gallons. How many hours was each familys sprinkler used? At a firm, ten entry-level employees earn $40,000 a year, 6 junior-level employees earn $60,000 a year, and 3 managers earn $80,000 a year per person respectively. Find the weighted average of the firm. If 18% of q is 27 , what is 27% of 2q Lisa, a dentist, believes not enough teenagers floss daily. She would like to test the claim that the proportion of teenagers who floss twice a day is less than 40%. To test this claim, a group of 400 teenagers are randomly selected and its determined that 149 floss twice a day. The following is the setup for this hypothesis test: H0:p=0.40 H0:p Given: ABC, AB=52 mA=45, mC=30 Find: BC and AC