If a sprinkler waters 1/15 of lawn in 1/5 of an hour how much time will it take to water the entire lawn ?

Answer:

c. 108

Step-by-step explanation:

Given

Shape of container: Cube

Initial dimension of the container = 6ft by 6ft by 6ft

Initial Number of boxes = 4

Required

Calculate the number of boxes when the dimension is tripled

The first step is to calculate the initial volume of the box;

[tex]Volume = Length * Length * Length[/tex]

[tex]Volume = 6ft * 6ft * 6ft[/tex]

[tex]Volume = 216ft^3[/tex]

This implies that the container can contain 4 small boxes when its volume is 216;

Represent this as a ratio;

[tex]4 : 216[/tex]

The next step is to calculate the volume when the dimension is tripled;

[tex]New\ Length = Old\ Length * 3[/tex]

[tex]New\ Length = 6ft* 3[/tex]

[tex]New\ Length = 18ft[/tex]

Hence;

[tex]Volume = 18ft * 18ft * 18ft[/tex]

[tex]Volume = 5832ft^3[/tex]

Let the number of boxes it can contain be represented with x

Similarly, represent this as a ratio

[tex]x : 5832[/tex]

Equate both ratios;

[tex]4 : 216 = x : 5832[/tex]

Convert ratios to fractions

[tex]\frac{4}{216} = \frac{x}{5832}[/tex]

Multiply both sides by 5832

[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]

[tex]5832 * \frac{4}{216} = x[/tex]

[tex]\frac{5832 *4}{216} = x[/tex]

[tex]\frac{23328}{216} = x[/tex]

[tex]108 = x[/tex]

[tex]x = 108[/tex]

Hence, the maximum number of boxes it can contain is 108

Answer:

T1he values for x and y of the equations is y = 11, and x = -19/5.

Step-by-step explanation:

To solve this question, we need to rearrange the expression:

5x+4y=25 - (5x+2y=3)

Look, if we subtract one equation to the other, then:

5x+4y=25 [1]

-(5x+2y=3) [2]

Which is the same as:

5x+4y=25

-5x-2y=-3

Subtract them:

5x+4y=25

-5x-2y=-3

---------------

      2y =22

y = 22/2 = 11

Then, y = 11.

To find x, we can substitute y in either equation [1] or [2].

Let us use [1]

5x+4y=25

5x+4(11)=25

5x+44=25

5x=25-44

5x=-19

x = -19/5

Then, the values for x and y of the equations is y = 11, and x = -19/5.

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]

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

Answer:

y = (-1/3)x + 5

Step-by-step explanation:

The format of the equation of line required is in slope-intercept form:

y = mx + c

m is the slope, and c is the y-intercept.

First, lets find the slope.

Randomly find 2 points on the line. Label them as (x1, y1) and (x2, y2)

Let's say I pick the points (0,5) and (9, 2).

slope m = (y2 - y1) / (x2 - x1)

slope = (2-5 ) / (9-0)

= -3 / 9

= -1/3

the y-intercept is the point where the line cuts through the y-axis, which is 5 in this case.  

Therefore, the equation of the line will be:

y = (-1/3)x + 5

Answer:

18

Step-by-step explanation:

j represents Jeffrey's age

j - 5 represents brother

Jeffrey is 23 so j = 23

j-5 = 23-5 =18 = brother

Answer:

J=23

Then J-5= his brother

substitute and u will find j-5=23-5

=18 so his brother age is 18 years old

Step-by-step explanation:

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

Answer:

(-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

You just need to guess and check.

(-4,6) → -4 + 6 = 2 ✔

(0,2) → 0+2 = 2 ✔

(4,2) → 4 + 2 = 6

(4, -2) → 4 - 2 = 2 ✔

(-4,-6) → -4 - 6 = -10

The correct answer is the second list (-4, 6), (0, 2), (4, -2)

Answer:

The answer is 0.133

Step-by-step explanation:

All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.

Answer:

Hello! 2/3 divided by 5 in fraction will be 2/15

Step-by-step explanation:

Since we have a 5 we need to change that into a fraction

5 would turn into 1/5

Now you have to multiply both of the fractions to get your answer.

2/3 x 1/5

= 2/15

(So 2/15 will be your answer.)

Hope this helps! :)

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

Answer:

Step-by-step explanation:

answer is C

Because formula of equation of slop is

Y-y1=m(x-x1)

Answer:

Step-by-step explanation:

[tex]5x + y = 28[/tex]

[tex]x + y = 8[/tex]

Solve the equation for y by moving 'x' to R.H.S and changing its sign

[tex]5x + y = 28[/tex]

[tex]y = 2 - x[/tex]

Substitute the given value of y into the equation 5x + y = 28

[tex]5x + 2 - x = 28[/tex]

Solve the equation for x

Collect like terms

[tex]4x + 2 = 28[/tex]

Move constant to R.H.S and change its sign

[tex]4x = 28 - 2[/tex]

Subtract the numbers

[tex]4x = 26[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{26}{4} [/tex]

Calculate

[tex]x = \frac{26}{4} [/tex]

Reduce the numbers with 2

[tex]x = \frac{13}{2} [/tex]

Now, substitute the given value of x into the equation y = 2 - x

[tex]y = 2 - \frac{13}{2} [/tex]

Solve the equation for y

[tex]y = - \frac{9}{2} [/tex]

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

[tex]5 \times \frac{13}{2} - \frac{9}{2} = 28[/tex]

[tex] \frac{13}{2} - \frac{9}{2} = 2[/tex]

Simplify the equalities

[tex]28 = 28[/tex]

[tex]2 = 2[/tex]

Since , all of the equalities are true, the ordered pair is the solution of the system.

[tex](x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) [/tex]

Hope this helps....

Best regards!!

Answer:

[tex]\boxed{x=6.5} \\ \boxed{y=-4.5}[/tex]

Step-by-step explanation:

5x + y = 28

x + y = 2

Subtract both equations. (eliminating y variable)

4x + 0 = 26

4x = 26

Divide both sides by 4.

x = [tex]\frac{26}{4}[/tex]

x = 6.5

Plug x as 6.5 in the second equation and solve for y.

6.5 + y = 2

Subtract 6.5 on both sides.

6.5 - 6.5 + y = 2 - 6.5

y = -4.5

Answer:

the answer is option A one graph

and I think or am sure it is correct ans.

Answer:

Step-by-step explanation:

Given,

Area of square ground = 42025

Now, let's find the length of square ground

Area of square = [tex] = {l}^{2} [/tex]

plug the values

[tex]42025 = {l}^{2} [/tex]

Swipe the sides of the equation

[tex] {l}^{2} = 42025[/tex]

Squaring on both sides

[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]

Calculate

[tex]l = 205[/tex] meters

The length of square ground = 205 meters

Now,Let's find the perimeter of square

Perimeter of square [tex] = 4l[/tex]

plug the value of length

[tex] = 4 \times 205[/tex]

Multiply the numbers

[tex] = 820[/tex] meters

Hope I helped.

Best regards!!

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

Answer:

45.

Step-by-step explanation:

100% of a number is the number itself. So, 100% of 45 is 45.

Hope this helps!

Answer:it’s 45

Step-by-step explanation:It’s just the whole number nothing less:)

Answer:

-8 < x < -2

start number line at -10 and end it at 0

draw an open circle* over the dash indicating -8 and -2

connect the open circles

*open circle because it is less than and greater than, not less than or equal to and greater than or equal to

Answer:

-8<x<-2

Step-by-step explanation:

yw luv :D

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 :)

Answer:

A - 7 = -13

Add 7

A = -6

10X - 8 = 9X + 8

Add 8

10X = 9X + 16

Subtract 9X

X = 16

In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2

Thus, plug in the values.

12^2+16^2=20^2

144+256=400

400=400.

Because the equation is true, 12, 16, and 20 can be a right triangle

Hope it helps <3

Answer:

For the first question/equation, A=-6. You can just add seven on both sides.

A-7+7=-13+7          A=-6

For the second question, X=16. You can minus 9x on both sides, then plus 8 on both sides. 10X-9X-8+8=9X-9X+8+8=X=16

For the last one, yes, it can because of 12^2+16^2=20^2. Which simplified is . 144+256= 400. So, yeah. It can be a right triangle.

Answer:   [tex]\dfrac{27}{65}[/tex]

Step-by-step explanation:

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}[/tex]

Total running = 30 boys + 24 girls = 54

Total students = 130

[tex]\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}[/tex]

Answer: [tex]h(x)=10(0.4)^x[/tex]

Step-by-step explanation:

The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]

From table, at x=0, h(x) =10

Put theses values in equation,, we get

[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]

Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get

[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]

Put value of a and b in the equation ,

[tex]h(x)=10(0.4)^x[/tex]  →  Required equation.

Answer:

P=2(length+width)

the length is 4.1 cm more than the width: l=4.1+w

61=(2(4.1+w+w))

61=8.2+2w+2w

61-8.2=4w

4w=52.8

w=13.2

Answer:

14 46\14

Step-by-step explanation:

p=L+W

p=61

L=4.1

W=?

61=4.1+W

61=4.1W

61\4.1=4.1\4.1

=14 46\14

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.

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

The graph of the given linear equation can be seen at the end.

Here we have the linear equation:

3x - 4y = 8

Isolating, y, we can rewrite:

-3x + 4y = -8

4y = -8 + 3x

y = (-8 + 3x)/4

y = (3/4)*x - 2

Now, we can evaluate the line in two values of x, so we can get two points on the line.

Evaluating in x = 0 and x = 4 we get:

if x = 0

y = (3/4)*0 - 2 = -2

So we have the point (0, -2)

If x = 4 we get:

y = (3/4)*4 - 2 = 1

Then we have the point (4, 1).

Now we can graph these two points and connect them with a line, that is the graph of the linear equation.

The graph can be seen below.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

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

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

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

Answer:

D

Step-by-step explanation:

|6y-3|+8=35

|6y-3|=35-8

|6y-3|=27

[|x-a|=b⇒x-a=± b]

6y-3=±27

1. case 1

6y-3=27

6y=27+3

6y=30

y=30/6=5

case 2.

6y-3=-27

6y=-27+3

6y=-24

y=-24/6=-4

so D

6m≤36

m≤36/6

or m≤6

and m+24≥20

m≥20-24

m≥-4

no solution as m≤-6 and m≥-4

Answer:

h^2+2h

Step-by-step explanation:

Let h be the heigth of this garden

The length of this garden is 2 feet more than the heigth.

So the length can be expressed as h+2

The area of this triangle is the product of the heigth and the length.

A = h*(h+2)

A= h^2 +2h

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: