Jada’s lawn mowing service charges $28 per hour plus a $20 fee to cover gas for the mower. Mai’s lawn service charges $16 per hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]

[tex]d=\sqrt{36+16}[/tex]

[tex]d=\sqrt{52}[/tex]

[tex]d=2\sqrt{13}[/tex]

Now, radius is half of the diameter.

[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]

[tex]r=\sqrt{13}[/tex]

Center of the circle is the midpoint of the endpoints of a diameter.

[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]

[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]

[tex]Center=\left(2,-3\right)[/tex]

Standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,

[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]

[tex](x-2)^2+(y+3)^2=13[/tex]

Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].

Answer:

Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together   4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A is incorrect because if 1 x value corresponds to multiple y values, it is not a function

B is incorrect for the same reason as a

C is incorrect because it is linear

D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.

Answer:

82

Step-by-step explanation:

eat good

Answer: The answer is D.

Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.

Answer: if you factor it you will get this-->(3m−2n)(3m−2n+5p)

Step-by-step explanation:

Answer:

ok mam yes mam going to do my clay

Answer:

70

Step-by-step explanation:

triangle is 180deg in total thus,

Answer:

I believe that it would be A+C+S but is there more to the question?

Step-by-step explanation:

omg

Step-by-step explanation:

Answer:

y = 7   x = 9

Step-by-step explanation:

2y-x=8

2(2y-x=8)

4y-2x=16

-(y-2x= -5)

3y +0x= 21

3y=21

y=7

2(7)-x=8

14-x=8

9=x

Answer:

160in²

Step-by-step explanation:

40% = 0.4 = 4/10

The length is 20, 40% of that is (0.4)(20) = 8in

Length * width . = 20*8 = 160in²

The width of the rectangle is equal to 8 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the width of the rectangle is 40% of its length.

The width will be calculated as,

W = 0.4 x L

W = 0.4 x 20

W = 8 feet

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Answer:

9 cups of batter

Step-by-step explanation:

laquisha uses two cups of milk for every three cups of pancake batter to make about 20 pancakes. Which ratio could she solve to find the number of cups of pancake batter, x ,needed if she uses 6 cups of milk

The ratio is given as:

2 cups of milk = 3 cups of batter

6 cups of milk = x

x = 6 × 3/2

x = 9 cups of batter

Answer:

-9

Its in the format y=mx+b, where m is the slope and b is the intercept. Also since x is 0 at the y intercept, you could substitute 0 for x and see the intercept

Step-by-step explanation:

Answer:

1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.

2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.

3: the answer is simply 0

4:  y-(1/5*x-10)=0  

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

        1          

 y -  ((— • x) -  10)  = 0  

        5          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         10     10 • 5

   10 =  ——  =  ——————

         1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (10 • 5)     x - 50

————————————  =  ——————

     5             5    

Equation at the end of step

2

:

      (x - 50)

 y -  ————————  = 0  

         5    

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

         y     y • 5

    y =  —  =  —————

         1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

y • 5 - ((x-50))     5y - x + 50

————————————————  =  ———————————

       5                  5      

Equation at the end of step

3

:

 5y - x + 50

 ———————————  = 0  

      5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Hope this helps :)

Answer:

8.17  sorry if its wrong

Step-by-step explanation:

Answer:

x*110

Step-by-step explanation:

Answer:

It is B: x * 110

Step-by-step explanation:

Answer:

A is Y equally X

B is X equally 2

E is Y equally -5

Answer:

15 is 3.75% of 400

Step-by-step explanation:

Hi there!

First we divide 15 by 400 to get 0.0375.

To find the percentage, more the decimal point two spaces to the right.

This would become 3.75

That’s your percentage!

Hope this helped!

Answer: 47.06

Step-by-step explanation: math

Answer:

Step-by-step explanation:

5/6 x = 13.50             Multiply both sides by 6

5x = 13.50 * 6

5x = 81                       Divide by 5

x = 81/5

x = 16.2

Answer:

i just want 100 points

Step-by-step explanation:

HAHHA BYE

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

Answer:

7b-389

Step-by-step explanation:

This is the polynomial in standard form. Hope this helps!

Answer:

i think 1/4

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

We name the coins coin 1 and coin 2 for the sake of simplicity.

There are four possible situations:

coin 1 head, coin 2 head

coin 1 head, coin 2 tails

coin 1 tails, coin 2 head

coin 1 tails, coin 2 tails

Only case 1 results in both 'heads'. So the probability is 1/4.

Answer:

There are no options but I guess C

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y, z) = (-1, 3, 6)

Step-by-step explanation:

The augmented matrix for the system is ...

  [tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]

Your graphing or scientific calculator can tell you the solution to this system is ...

  (x, y, z) = (-1, 3, 6)

__

If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...

  x -y +z = 2

This can be subtracted from the other two equations to eliminate z.

  (9x +3y +z) -(x -y +z) = (6) -(2)  ⇒  8x +4y = 4

  (16x +4y +z) -(x -y +z) = (2) -(2)  ⇒  15x +5y = 0

These two equations can be reduced to standard form:

Subtracting the first equation from the second, we have ...

  (3x +y) -(2x +y) = (0) -(1)  ⇒  x = -1

Substituting into the first gives y:

  2(-1) +y = 1

  y = 3 . . . . . . . add 2

Then we can find z from the reduced first equation above:

  z = 2 -x +y = 2 -(-1) +3 = 6

Then the solution is (x, y, z) = (-1, 3, 6).

Answer:

A=Pier^2

a=pie2.5^2

a=19.63

A=Pier^2

a=pie2^2

a=12.57

19.63 - 12.57

=7.07

B

Answer:

ok

Step-by-step explanation: