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VladimirAG [237]
3 years ago
5

A car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, w Your dinner bill is $25 before tax. Th

e tax rate is 8%. You decide to give the waiter 10% tip based on your pre-tax bill. What is the TOTAL amount of cash you should pay?Hat is the average speed of the entire trip?
Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer and Step-by-step explanation:

Let's~solve~your~problem!

<em><u>Formula : </u></em>

<u></u>speed=\frac{distance}{time}

<em><u>Solving for time:</u></em>

Time~taken~to~cover~40~miles~on~local~ roads~= \frac{40}{20}  = 2~hours

Time~taken~to~cover~180~miles~on~the~highway~= \frac{180}{60}=3~hours

Total~Time~=~5~hours

<em><u>Solving for distance:</u></em>

<em><u /></em>Total~Distance=40 + 180 = 220<em><u /></em>

<em><u /></em>

<em><u>Average speed:</u></em>

<em><u /></em>\frac{Total~distance}{Total~time}  = \frac{225}{5}  = 44~miles~per~hour<em><u /></em>

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select t
hichkok12 [17]

The equation that has the same solution as  2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;

  • 2.3p – 10.1 = 6.49p – 4
  • 230p - 1010 = 649p - 400

<h3>How to rewrite an equation? </h3>

2.3p – 10.1 = 6.5p – 4 – 0.01p

The equation that has the same solution as above can be found as follows;

2.3p – 10.1 = 6.5p – 4 – 0.01p

combine like terms

2.3p – 10.1 = 6.5p – 0.01p - 4

2.3p – 10.1 = 6.49p – 4

Multiply through by 100.

Therefore,

230p - 1010 = 649p - 400

learn more on equation here: brainly.com/question/26005958

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4 0
2 years ago
1) 2x – y = 1
aleksandrvk [35]

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

6 0
3 years ago
Population in a Small Town, USA was 5,054 in 2007. The populations increase by 2% annually. Show and explain all work.
kakasveta [241]

Answer: a. f(x)=5054(1.02)^x

b. The population in 2032 will be 8292.

Step-by-step explanation:

Exponential growth equation: y=a(1+r)^x, where a = initial value , r = growth rate, x = time period

Given: a = 5054 , r= 0.02

a. Required exponential growth function: f(x)=5054(1+0.02)^x

f(x)=5054(1.02)^x

b. For 2032, x= 25

f(25)=5054(1.02)^{25}

\approx8291.62\approx8292

The population in 2032 will be 8292.

5 0
2 years ago
Use the net to determine the total surface area.
Shtirlitz [24]

not sure 340.8 cm2

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3 years ago
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OLga [1]
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The appropriate choice is 
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4 0
3 years ago
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