Zachary is deciding between two landscaping companies for his place of
business. Company A charges $40 per hour and a $100 equipment fee.
Company B charges $30 per hour and a $150 equipment fee. Let A represent
the amount Company A would charge for t hours of landscaping, and let B
represent the amount Company B would charge for t hours of landscaping.
Write an equation for each situation, in terms of t, and determine the interval
of hours, t, for which Company A is cheaper than Company B.
A=
B=

Answer:

144

Step-by-step explanation:

I did the sum out :) :)

Answer:

6.7234724... ; ✓7

Step-by-step explanation:

In the most simplest of terms, we can explain irrational numbers as numbers which cannot be expressed as a ratio of two integers usually because they cannot give an exact value when evaluated.

Using the values given :

6.7234724... - - >This is an irrational number because the '...' depicts that the values are unending and as such an exact expression in the form of a ratio (p/q) cannot be determined.

315, 26, 17, 8 - - - > Is a rational number, it could be express in ratio form as : 315/1. 315 is an integer and all integers are rational.

-0.25 - - > it could be expressed as - 1 /4. Hence it is a rational number.

✓7 - irrational as the simplification gives : 2.6457513...

Answer:

When one variable influences a change in another

Step-by-step explanation:

Causation means that one event causes another event to occur.

Answer:

[tex] \boxed{ \tt{1. \: \: 9a + 2b}}[/tex]

[tex] \boxed{ \tt{2. \: \: 2pqr + 3qrs - 3pqr}}[/tex]

Step-by-step explanation:

[tex] \tt{1. \: \: (5a - 6b) + (4a + 8b)}[/tex]

Remove the unnecessary parentheses :

⇾ [tex] \tt{5a - 6b + 4a + 8b}[/tex]

Combine like terms. Like terms are those which have the same base { For instance : In the term 4a , a is the base }. Also remember that : Only coefficients of like terms can be added or subtracted.

⇾ [tex] \tt{5a + 4a - 6b + 8b}[/tex]

⇾ [tex] \tt{9a + 2b}[/tex]

[tex] \tt{2. \: \: pqr + pqr - 2qrs + 5qrs - 3pqr}[/tex]

Combine like terms :

⇾ [tex] \tt{2pqr + 3qrs - 3pqr}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

1. (5a-6b) + (4a+8b)

= (5a + 4a) + (8b - 6b)

=9a + 2b

2. pqr+pqr-2qrs+5qrs-3pqr

= 2pqr-3qrs-3pqr

= -3qrs-pqr

Step-by-step explanation:

have a great day

Answer:

0.32, 0.45, 0.76.

Step-by-step explanation:

so first you would use your < >,= signs and compare all of them until you have eliminated ALL but one (so 0.91<0.98 this is because 0.98 is close to 1 whole than 0.91) and you would continue this explanation for so on

Answer:

hope this is helpful to you

Answers did you ever get this awnser??

Step-by-step explanation:

Answer:

The area of the semi-circle

                                  A = 1320.37 cm²

Step-by-step explanation:

Explanation:-

Given the diameter of the circle 'd' = 58cm

The radius of the circle 'd' = 2r

                                       [tex]r = \frac{d}{2} = \frac{58}{2} = 29[/tex]

The area of the semi-circle

                           [tex]A = \frac{1}{2} \pi r^{2}[/tex]

                           [tex]A = \frac{1}{2} (3.14) ((29))^{2}[/tex]

                          A = 1320.37 cm²

Answer:

x intercept is (3,0)

y intercept is (0,-10)

Given:

The equation is

[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]

To find:

The length of the line segment AC.

Solution:

We have,

[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]

[tex]1.428148=\dfrac{15}{b}[/tex]

Multiply both sides by b.

[tex]1.428148b=15[/tex]

Divide both sides by 1.428148.

[tex]b=\dfrac{15}{1.428148}[/tex]

[tex]b=10.50311[/tex]

[tex]b\approx 10.503[/tex]

In a triangle ABC, the line of line segment AC is b. So,

[tex]AC\approx 10.503[/tex]

Therefore, the length of the line segment AC is 10.503 units.

Answer:

[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5)  x²  = 12² + 6²

         = 144 + 36

  x²  = 180

x = √180

x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

x² = 264

x = √264

x = 16.25 m

7)  x² = 7² + 576

        = 49 + 576

        = 625

x = √625

x = 25 in

8)  2.5² = 2²+ x²

6.25 = 4 + x²

6.25 - 4 = x²

x² = 2.25

x = √2.25

x = 1.5 yd

Answer:

x= -2 and y= -1

Step-by-step explanation:

1) 4x+3y= -5

2(-2x+2y=6)

(Multipy by 2 )

Becomes

2) 4x+3y= -5

-4x+4y=12

3) -5+12 =7

7y/7=7/7=

y=1

4x+3y=-5

4x+3(1)= -5(plug in Y for 1)

4x+3= -5

4x+3+-3= -5+ -3 (add neigitve 3 on both sides)

4x= -8

4x/4=-8/4( divide 4 on both sides)

x= -2

a

Answer

x=-2 ,Y=1

ANSWER:

Circumference= 37.7

Area= 113.1

Answer:

615.44 m²

Step-by-step explanation:

3.14(14)²= 615.44 m²

Answer:

153.9 m²

Step-by-step explanation:

A = πr2 Use the formula.

A = π(7)2 Substitute. Use 7 for r.

A ≈ 3.14 × 72 Substitute. Use 3.14 for π.

A ≈ 3.14 × 49 Evaluate the power.

A ≈ 153.9 Multiply.

The area of the circle is about 153.9 m².

Answer:

A x ≤ 20

Step-by-step explanation:

Answer:

it would be 4 apples to 1 pear

Step-by-step explanation:

Answer:

3:12

It is really easy if you order it right.

Answer:

71•8

Step-by-step explanation:

8/575

using long division method

the answer is

71•8

Answer:

The answer is 13

Step-by-step explanation:

Took the test on Edge

Answer:

x=13 :)

I took the quiz

Answer:

It is impossible for us to answer that question as we weren't provided with a text to analyze.

Step-by-step explanation:

Answer:

3/64

Step-by-step explanation:

Mercedes has to choose 2 cupcakes.

Given that;

3 : chocolate

1  : vanilla

4 :carrot cake

The probability that she will choose vanilla followed by a carrot cupcake without replacing will be;

Form a tree diagram for two picks

1/8 * 3/8  = 3/64

Answer:

2985984

Hope this helps

Answer:

$50.00 because you do 6.25 times 8.

Step-by-step explanation:

Hope this helps you! :)

Answer:

Length of the pantry = 5 feet

Step-by-step explanation:

Camille's kitchen has an area of 80 square feet. The kitchen is 8 times as many square feet as Camille's pantry.

Step 1

Area of Camille's kitchen = 8(Area of Camille's pantry)

Area of Camilla kitchen = 80 square feet

80 square feet = 8(Area of Camille's pantry)

Area of Camille's pantry = 80 square feet/8

Therefore:

Area of Camille's pantry = 10 square feet

Step 2

If the pantry is 2 feet wide, what is the length of the pantry?

The shape of the pantry is rectangular hence:

The area of the pantry = Length × Width

Area of the pantry = 10 square feet

Width = 2 feet

Length = Area of the pantry/Width

Length = 10 square feet/2 feet

Length = 5 feet

9514 1404 393

Answer:

  A.  d = 0 -- one (1) solution

  B.  x = {1, 3.5}

Step-by-step explanation:

A. The discriminant for ax²+bx+c = 0 is ...

  d = b² -4ac

For the given equation, this is ...

  d = (-36)² -4(9)(36) = 0

The discriminant is zero (0).

The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.

__

B. The equation can be factored as ...

  2x² -9x +7 = (2x -7)(x -1) = 0

The solutions are the values of x that make the factors be zero:

  2x -7 = 0  ⇒  x = 7/2

  x -1 = 0  ⇒  x = 1

  The solutions are x = 7/2  or  x = 1.

Answer:

The answer is 96%.

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 55 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 55, so we can write it down as 100%=55.

4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.

5. Now we have two simple equations:

1) 100%=55

2) x%=52.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=55/52.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.8 is what percent of 55

100%/x%=55/52.8

(100/x)*x=(55/52.8)*x       - we multiply both sides of the equation by x

100=1.0416666666667*x       - we divide both sides of the equation by (1.0416666666667) to get x

100/1.0416666666667=x

96=x

x=96

now we have:

52.8 is 96% of 55