A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal

Answer:

1hr 37min 18 sec

Step-by-step explanation:

Jack can mow the baseball grounds in 6 hours

Jack rate = 1/6 job/hr

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Mike can mow the same grounds in 5 hours

Mike rate = 1/5 job/hr

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Chris can mow the grounds in 4 hours.

Chris rate = 1/4 job/hr

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Together rate = 1/x job/hr

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Equation:

rate + rate + rate = together rate

[ 1/6 + 1/5 + 1/4] = 1/x

x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1

----

x(74/120) = 1

x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec

Answer:

5 units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

30 = 1/2 (12)h

Multiply

30 = 6h

Divide each side by 6

30/6 = 6h/6

5 = h

Answer:

5 units

Step-by-step explanation:

Next time please supply the formula, which was apparently given in this question:

A = (1/2)(base)(height)

Here, A = 30 units^2 = (1/2)(12 units)(height), or

                30 units^2 = (6 units)(height)

Solving for (height), we get

                 30 units^2

(height) = ------------------ = 5 units

                   6 units

The height is 5 units

Answer:

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Step-by-step explanation:

Given data table

x                        7           10            8                8           8            9      = total 50

P(X=x)    [tex]\frac{7}{50} = 0.14[/tex]     [tex]\frac{10}{50} = 0.2[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{8}{50} = 0.16[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{9}{50} = 0.18[/tex]  

Sum of the probabilities is equal ∑x P(x=x)

                                 = 0.14 +0.2 +0.16 +0.16+0.16 +0.18

                                 =1

Given data table

spinning

a spinner             1            2            3                4           5             6                    

x                        7             10            8                8           8            9      

P(X=x)            0.14     0.2         0.16             0.16         0.16        0.18    

The experimental probability of spinning a number less than 2

P( x<2) = P( x=0) +P(x=1)

          = 0 + 0.14

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

Answer:

5000

Step-by-step explanation:

Answer:

1960

Step-by-step explanation:

8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.

Answer:2032

Step-by-step explanation:

8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023

Answer:

-31/11

Step-by-step explanation:

To get the value they makes the fraction undefined, we shall need to equate the denominator to zero

Hence;

4x + 44x^2 + 120x

Divide through be x

4 + 44x + 120 = 0

44x = -124

x = -124/44

x = -62/22

x = -31/11

Answer:

the side of the length is 5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

Answer:

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]

[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]

The y value achieves its minimum at x = 4/3

Answer: the eight term is 8/243

Step-by-step explanation:

Each term in this geometric sequence is equal to the previous term, divided by 3.

72,24, 8

a = 72, r = 1/3

a = first term, r is common ratio

tn = ar^n-1

t8 = 72÷ 3^8–1

t8 = 72÷ 3^7

= 72/ 3^7

= 8/243

Answer:

functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Step-by-step explanation:

Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)

On the other hand, the function f(x) has two roots that are obtained by factoring it out:

[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]

Therefore it has roots at x=2 and x= -3

So functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

Answer:

x = 0.8

Step-by-step explanation:

What this question asks us is that what value of x solves the first inequality but does not work for the second

Let’s solve the first inequality;

4x > 3.2-0.8

4x > 2.4

x > 2.4/4

x > 0.6

Now all values of x which is greater than 0.6 is a solution to the first inequality

Now to the second, we have;

-6 > -5x -1

Using the range of values from the first inequality;

if we say x = 0.8

Then

-6 > -5(0.8) -1

-6 > -4-1

-6 > -5

But this is not right in the real sense as actually

-5 > -6

So we can confirm that 0.8 is a solution that works for the first inequality but doesn’t work for the second

Answer:

y= -29 if domain is -4

y=-6 is domain is -2

y=8 if domain is 0

y=22 if domain is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds

2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds

Improvement = 200 - 164 = 36 seconds

Percentage =(36/200) *100

                  = 18 %

Answer: 50 + m

Step-by-step explanation:

From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:

Erica bracelet = 25

John bracelet = 25 + m

Total bracelet = 25 + 25 + m

= 50 + m

The expression that represents the total number of bracelets Erica and John made is 50 + m

Answer:

250 minutes with the flat rate of $29.

[tex]x\leq 250[/tex]

x would be the number of minutes called.

[tex]x-250[/tex]

Tracy would be charged by $0.35 per minute.

[tex]f(x)=29\\ 0\leq x\leq 250[/tex]

[tex]f(x)=0.35(x-250)+29,\\250\leq x\leq ∞[/tex]

Answer:

w = -5x^2+20x+160/x

Step-by-step explanation:

Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.

I may be wrong, it's been a while since I solved these types

Answer:

y = x/2 -14

Step-by-step explanation:

Since the lines are parallel, their slopes are equal

For the first line, we have

y = 0.5x -8

so comparing this with the standard form y = mx + c

Our m is the slope which is 0.5 here

kindly recall that 1/2 is same as 0.5

so the slope of the line we want to form also is 0.5

Now, we use the point slope form to find the equation of this new line

Mathematically that would be;

y-y1 = m(x-x1)

So;

y-(-17) = 0.5(x-(-6)

y + 17 = 0.5(x + 6)

y + 17 = 0.5x + 3

y = 0.5x + 3-17

y = 0.5x -14

or y = x/2 -14

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

You have 6x^2 - 7x-20, you add and take 8x so now you have

6x^2 - 7x +8x -8x -20 now you take 6x^2  and the +8x and factorize

6x^2 +8x = 2x( 3x +4 )

and you have -7x -8x-20 = -15x -20 factorize

-5(3x +4 ) add all up.

2x(3x +4) -5(3x +4) and you have

(3x+4)(2x-5)

Answer:

67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a

Answer:

Additive inverse property

Step-by-step explanation:

Answer:

a = -5

Step-by-step explanation:

negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.

- (5 - (a + 1)) = 9 - (5 - (2a - 3))

using the principle of PEMDAS, all the parenthesis values are first solved

- (5 - a - 1) = 9 - (5 - 2a + 3)

-5 + a + 1 = 9 - 5 + 2a - 3

collect like terms

-5 + 1 - 9 + 5 + 3 = 2a - a

-5 = a Therefore,

a = -5

Answer:

-5

Step-by-step explanation:

Answer:

14,850 ways

Step-by-step explanation:

Since the order does not matter, the number of possible committees is given by the product of the combination of picking 2 out of 10 faculty members and the combination of picking 4 out of 11 students:

[tex]n= \frac{10!}{(10-2)!2!}* \frac{11!}{(11-4)!4!}\\n=\frac{10*9}{2}*\frac{11*10*9*8}{4*3*2*1}\\n=14,850[/tex]

The committee can be formed in 14,850 ways

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

Answer:

-42

Step-by-step explanation:

7 x -6 = 42

Step-by-step explanation:

SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.

[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18