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alexandr1967 [171]
1 year ago
6

The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

45 to rent a table for one day and a
total of $90 to rent a table for four days, which of the following equations represents the total cost (c) to rent a table at the flea market for (d) days?
Mathematics
1 answer:
Simora [160]1 year ago
6 0

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

  • As the price rises 45, the days increase by 3
  • Slope = rise/run
  • Slope = 45/3
  • Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

  • y = mx + b
  • 45 = 15(1) + b
  • 45 = 15 + b
  • 30 = b

The base price (b) is 30.

The equation is \text{\boxed{c = 15d + 30}}

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Find the volume of a right circular cone that has a height of 17.6 m and a base with a
Firlakuza [10]

Answer:

1179m^3

Step-by-step explanation:

Given radius=8m

Height=17.6m

Volume of the cone=1/3πr^2h

1/3 πr^2h

=1/3×3.14×8×8×17.6

=1178.96

Nearest tenth is 1179

So volume is 1179m^3

5 0
3 years ago
A farmer is able to prepare 1/2 are of soil in 3 days. How long will it take him to prepare 2 1/4 acres of soil?
Alexxx [7]

Answer:

x = 13 1/2 days

Step-by-step explanation:

1/2 acre              2 1/4 acre

------------ = -------------------------

3 days           x days


using cross products

1/2 * x = 2  1/4 * 3

change 2  1/4 to an improper fraction   (4*2+1)/4 =9/4

1/2 x = 9/4*3

1/2x = 27/4

multiply each side by 2

2 * 1/2 x = 27/4 * 2

x = 27/2

change back to a mixed number

x = 13 1/2

8 0
3 years ago
Which expression can be used to approximate the expression below,for all positive number a,b and x where a =/ 1 and b=/ 1
rodikova [14]

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

log_ax

The value of a is 1 and the value of b is 1.

According to the logarithm property,

log_mn=\frac{log_pm}{log_pn}

Using this property, we get

log_ax=\frac{log_bx}{log_ba}

The required expression is \frac{log_bx}{log_ba}.

log_1x=\frac{log_1x}{log_11}

log_1x=log_1x                   [\because log_aa=1]

Left hand side is equal to the right hand sides, therefore option 1 is correct.

4 0
2 years ago
Shane biked 1 mile than three times the number of miles lissette bike a total of 7 miles. Write an equation to determine how man
bagirrra123 [75]

Answer:

Equation : x + 1 + 3x = 7

Miles Lissette biked : 3/2 miles

Step-by-step explanation:

<em>Step 1: Determine the total number of miles biked.</em>

From my understanding. 7 miles is the total number of miles biked by both.

<em>Step 2: Assume the values</em>

Miles Lissette biked = x

Miles Shane biked = 1 + 3x

<em>Step 3: Add miles biked by Lissette and Shane which will be equal to total miles. </em>

Equation for miles Lissette biked: x + 1 + 3x = 7

4x + 1 = 7

x = 6/4

<em>Step 4: Simplify</em>

x = 6/4

x = 3/2

Therefore, the equation for miles Lissette biked is x + 1 + 3x = 7 and Lissete biked for 3/2 miles.

!!

6 0
3 years ago
Can l please get help ​
maria [59]

Answer:

-10x^2 +9+8x^2-5x+7=-2x^2-5x+16

4 0
3 years ago
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