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GREYUIT [131]
3 years ago
11

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by

Mathematics
1 answer:
serg [7]3 years ago
5 0
 simply,  R(x)=2x as a function of x.

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5-a/8=4/7 solve for a show your work
timama [110]
Subtract 5 from both sides
a/-8 = 4/7 - 5

simplify 4/7 - 5 to 31/-7
a/-8 = 31/-7

multiply both sides by 8 
-a = 31/-7 x 8

simplify 31/7 x 8 to 248/7
-a = 248/7

multiply both sides by -1.
The answer is a = 248/7

The words are the explanations of the steps and the dark bolded words are the work shown for each step.
6 0
3 years ago
The roof of a house seen from the front is an isosceles triangle \Delta ABC ΔABC with base 14.5 m and sides of length 8.5 m. Fin
melamori03 [73]

Answer:

4.4 m

Step-by-step explanation:

Draw the height of the triangle (perpendicular line from point A to line BC).  Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.

Use Pythagorean theorem to find the height.

c² = a² + b²

(8.5 m)² = (14.5/2 m)² + h²

h ≈ 4.4 m

7 0
3 years ago
Each line represents a proportional relationship. Write an equation for each line. Show your work.
tiny-mole [99]

Answer:

The equation of line a is y = x

The equation of line b is y =  \frac{2}{3} x

Step-by-step explanation:

The equation of the proportional is y = m x, where

  • m is the slope of the line (constant of proportionality)

The rule of the slope of a line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

∵ Line a passes through points (0, 0) and (3, 3)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = \frac{3-0}{3-0}=\frac{3}{3}

∴ m = 1

→ Substitute in the form of the equation above

∴ y = (1)x

∴ y = x

∴ The equation of line a is y = x

∵ Line b passes through points (0, 0) and (3, 2)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-0}{3-0}=\frac{2}{3}

∴ m = \frac{2}{3}

→ Substitute in the form of the equation above

∴ y = (\frac{2}{3}) x

∴ y =  \frac{2}{3} x

∴ The equation of line b is y =  \frac{2}{3} x

7 0
3 years ago
a worker's earring E are a function of the number of hour, H at a rate of 12/hr. write a function tule for the solution. How man
Romashka [77]

Answer:

E=12(H)

A person should work 32 hours to earn $384

Step-by-step explanation:

A worker's earring E are a function of the number of hour, H at a rate of 12/hr.

We need to write the function.

The function will be:

Earning is represented by E and Hour is represented by H

E=12(H)

Now, How many hours would a person have to work to earn 384

We are given E=384, we need to find H

Putting values in above function and finding hours H

E=12(H)\\384=12(H)\\H=\frac{384}{12}\\H= 32

So, A person should work 32 hours to earn $384

8 0
3 years ago
Eric's notebook has 30 pages. he wants to writes a number on each page. how many digits will he write when he numbers all the pa
Roman55 [17]
The answer is d (i.e. 51).
the first 9 pages utilize 9 digits. the remaining 21 pages utilize two digits number. Therefore,
21*2=42
the total is 42+9=51
8 0
3 years ago
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