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posledela
3 years ago
5

NO SPACES AND NO DECIMALS

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step explanation:

Let

Number of hours = x

Total cost = y

Total cost = fixed cost + variable cost

The equations are:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

20 - 9 = 5x - 4x

11 = x

x = 11 hours

Check:

Happy paws

y = 20 + 4x

= 20 + 4(11)

= 20 + 44

= 64

Woof watchers

y = 9 + 5x

= 9 + 5(11)

= 9 + 55

= 64

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According to the graph, what is the value of the constant in the equation
wolverine [178]

The question is missing the graph. So, it is attached below.

Answer:

(D) 3.2

Step-by-step explanation:

Given:

A graph of height versus width.

The equation given is:

Height = constant × Width

Rewriting in terms of 'constant'. This gives,

\textrm{Constant}=\frac{Height}{Width}------------- (1)  

The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.

The four points plotted on the line are:

(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6).

Now, any point will satisfy equation (1).

Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,

\textrm{Constant}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2

Also, we observe that for all the remaining points,

\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2.

Hence, the value of the constant is 3.2.

Option (D) is correct.

4 0
3 years ago
If f(x) = -5X - 4 and g(x) = -3x - 2, find (f + g)(x).
dmitriy555 [2]

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

first we have to make same alphabet and put together if there is subtract if it come in front we should make add and we can get the value of x

5 0
3 years ago
A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area o
ratelena [41]

Answer:

The area the sprinkler sprays with water is 201.06 square feet.

Step-by-step explanation:

Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.

Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.

Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.

Area of the circle = π × r² = 3.1415 × 8 feet = 201.06 square feet

7 0
3 years ago
Read 2 more answers
What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?
4vir4ik [10]

Answer:

\displaystyle d = 6

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-7, 1)

Point (-7, -5)

<u>Step 2: Find distance </u><u><em>d</em></u>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute in points [Distance Formula]:                                                     \displaystyle d = \sqrt{(-7 - -7)^2 + (-5 - 1)^2}
  2. [Order of Operations] Evaluate:                                                                  \displaystyle d = 6
6 0
2 years ago
HELPP
wolverine [178]

Answer:

It would\ be -7 F.

Step-by-step explanation:

3 0
2 years ago
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