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3 years ago

A trolley company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown:

Mathematics

2 answers:

tigry1 [53]3 years ago

7 0

From the given table, it is clear that fixed amount is $6,
because for x=0 the value of y=6.

Your answer is $6.

Liula [17]3 years ago

3 0

Answer: $6

Step-by-step explanation:

Given: A trolley company charges a fixed amount plus a fee based on the distance traveled.

If y represents cost (dollars) charged by the company for x distance traveled (miles) .

then $y=mx+c$ represents the total cost where c is the fixed charge and m is the fee for the distance traveled.

From, table we can see when x=0, y=6.

$\\\Rightarrow\ 6=0+c\\\Rightarrow\ c=6$

Hence, the fixed fee charged by the company is $6.

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posledela

Answer:

The bakery will bake 600 butterscotch bread, 550 chocolate bread, and 1,000 coconut bread

Step-by-step explanation:

In order to answer the word problem question, we list the parameters as follows;

The number of bread types the bakery takes = 3 types of bread

The monthly cost of the bakery for baking the bread, C = RM 6,850

The number of bread loaves baked = 2,150

The cost of baking a loaf of butterscotch bread = Rm 2

The cost of baking a loaf of chocolate bread = Rm 3

The cost of baking a loaf of coconut bread = Rm 4

The sale price of a butterscotch bread = Rm 3

The sale price of a chocolate bread = Rm 4.50

The sale price of a coconut bread = Rm 5

The amount of monthly profit the bakery makes, P = Rm 2,975

Therefore, the total revenue of the company, R = C + P

∴ R = Rm 6,850 + Rm 2,975 = Rm 9,825

Let 'x', 'y', and 'z', represent the number of loaves of butterscotch, chocolate, and coconut bread the company bakes respectively

Then we get;

x + y + z = 2,150...(1)

2·x + 3·y + 4·z = 6,850...(2)

3·x + 4.5·y + 5·z = 9,825...(3)

Multiplying equation (1) by 2 and subtracting from equation (2) gives;

2·x + 3·y + 4·z - 2×(x + y + z) = 6,850 - 2 × 2,150 = 2,550

2·x - 2·x + 3·y - 2·y + 4·z - 2·z = 2,550

∴ y + 2·z = 2,550...(4)

Adding equation (1) to (2) and subtracting from (3) gives;

3·x - 3·x + 4.5·y - 4·y + 5·z - 5·z = 9,825 - (6,850 + 2,150) = 825

1.5·y = 825

y = 825/1.5 = 550

The number of loaves of chocolate bread baked, y = 550

From equation (4), we get;

550 + 2·z = 2,550

2·z = 2,550 - 550 = 2,000

z = 2,000/2 = 1,000

The number of loaves of coconut bread baked, z = 1,000

∴ From equation (1) x = 2,150 - (550 + 1,000) = 600

The number of loaves of butterscotch bread baked, x = 600.

3 0

2 years ago

7 divided by the quantity a minus 6

Nesterboy [21]

Answer:

7 ÷ (a - 6)

Step-by-step explanation:

5 0

3 years ago

Write the slope intercept form of the equation of the line described.

Lady bird [3.3K]

Answer:

y= -5

Step-by-step explanation:

x=0 is a vertical graph hence the perpendicular graph would be a horizontal line, a y= ____ graph.

Since it passes through the point (-2, -5),

the equation of the line is y= -5.

This would be in slope- intercept form since the gradient of horizontal lines is zero.

y= mx +c, where m is the gradient and c is the y-intercept.

Given that gradient =0, m=0

y= 0x +c

when x= -2, y= -5,

-5= 0(-2) +c

-5= c

c= -5

Thus the equation is y= -5.

6 0

3 years ago

Clevon forms a triangle with three straws measuring 20, 25, and 18 inches. To the nearest whole

Ne4ueva [31]

Answer:

Step-by-step explanation:

Let's label this triangle as triangle ABC. Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C. Use the Law of Cosines to find the missing angle. You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options. In our case,

$c^2=a^2+b^2-2abcosC$ which for us looks like this: