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larisa86 [58]
3 years ago
6

Ms. Cannon is a tutor. She charges $ 25 for travel time and $ 35 for each hour, h, she tutors. What expression represents the to

tal amount Ms. Cannon charges?
Mathematics
2 answers:
wolverine [178]3 years ago
7 0

Answer:

25 + 35h

Step-by-step explanation:

Kruka [31]3 years ago
4 0

Answer:

35h+25

Step-by-step explanation:

The 35 is for each hour so you do 35h, but you still have the 25, and she only charges that once for each tutor session. Hope this helps

You might be interested in
If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))
grandymaker [24]

Answer:

<em>f(g(2))=7</em>

Step-by-step explanation:

<u>The Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

The given functions are:

f(x)=4x+3

g(x)=x^2-3

It's required to find f( g( 2 ) )

Find g(2):

g(2)=2^2-3

Operating:

g(2)=4-3 =1

g(2)=1

Now find f(1):

f(1)=4(1)+3

f(1)=4+3 =7

Thus:

f( g( 2 ) )=7

4 0
3 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
Read 2 more answers
Taylor buys 2 gallons of milk for $5.50. What is the cost per gallon
Vanyuwa [196]

Answer:

its 2.75 for one gallon

5 0
2 years ago
a photograph is printed in the center of a piece of paper measuring 7 cm by (x + 8) cm. The photo measures 5 cm by (x +6) cm . T
Nadusha1986 [10]

The paper is 7 cm by (x + 8) cm.

A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.

The area of the border/space around the photo is 50 cm².


To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.


The area of the paper:

A = 7 · (x + 8)


The area of the photo:

A = 5 · (x + 6)


Your equation to find the area of the border around the photo is:

(7 · (x + 8)) - (5 · (x + 6)) = A

[area of paper - area of photo = area of border]


Since you know the area of the border, you can plug it in:

(7 · (x + 8)) - (5 · (x + 6)) = 50


Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)

(7x + 56) - (5x + 30) = 50


Distribute/multiply the - to (5x + 30)

7x + 56 - 5x - 30 = 50


Combine like terms

2x + 26 = 50


Subtract 26 on both sides

2x = 24


Divide 2 on both sides


x = 12

7 0
3 years ago
a rectangular photograph has an area of 104 square inches. if the width of the photograph is 5 inches less than its hight, find
Umnica [9.8K]
Height is 13 inches. width is 8 inches. dimensions is 42 inches
5 0
3 years ago
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