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3 years ago

A cell phone is on sale for $205 after a 20% off discount. What was the original price of the phone?

Mathematics

1 answer:

Leni [432]3 years ago

7 0

Answer:

256.25

Step-by-step explanation:

if you have a 20% discount then you are paying 80% if the original cost.

so 80% of the original price is 205

.80x = 205

x = 205/.80

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bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp

SashulF [63]

Answer:

The least number of stamps required is $9$

Step-by-step explanation:

Let the number of $3$ cent stamps be $x$ and $4$ cent stamps be $y$

We have

$3x+4y=33$

The minimum number is obtained when more $4$ cent stamps are used

Here $y$ cannot be greater than $8$ since $\frac{33}{4}$

Substitute $y=8$

$3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}$

Not possible since $x$ is not a fraction

Substitute $y=7$

$3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}$

Not possible since $x$ is not a fraction

Substitute $y=6$

$3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3$

Possible

Hence minimum number of stamps is

$=x+y\\\\=3+6\\\\=9$

5 0

2 years ago

11. The coordinates of endpoint A are A(5, -15). The midpoint of AC is B(5, -8). Find the coordinate of endpoint C. (1 point wor

raketka [301]

12. The answer in its simplest form is $4\sqrt{34}$

5 0

3 years ago

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove

gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time $t_1$ , distance of $d_1$ , v = 40. So

$v = \frac{d}{t}$

$40 = \frac{d_1}{t_1}$

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is $v = 60$ .

On the first day, he drove 2 more hours, which means that for the second day, the time is: $t_1 - 2$

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: $d_1 - 20$

Thus

$v = \frac{d}{t}$

$60 = \frac{d_1 - 20}{t_1 - 2}$

System of equations:

Now, from the two equations, a system of equations can be built. So

$40 = \frac{d_1}{t_1}$

$60 = \frac{d_1 - 20}{t_1 - 2}$

Find the total distance traveled in the two days:

We solve the system of equation for $d_1$ , which gets the distance on the first day. The distance on the second day is $d_2 = d_1 - 20$ , and the total distance is:

$T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20$

From the first equation:

$d_1 = 40t_1$

$t_1 = \frac{d_1}{40}$

Replacing in the second equation:

$60 = \frac{d_1 - 20}{t_1 - 2}$

$d_1 - 20 = 60t_1 - 120$

$d_1 - 20 = 60\frac{d_1}{40} - 120$

$d_1 = \frac{3d_1}{2} - 100$

$d_1 - \frac{3d_1}{2} = -100$

$-\frac{d_1}{2} = -100$

$\frac{d_1}{2} = 100$

$d_1 = 200$

Thus, the total distance is:

$T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380$

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0

3 years ago

Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she clean

Alex787 [66]

Answer:

Option A : y = 40x - 85 is the correct answer.

Step-by-step explanation:

Given that:

Cost of purchasing supplies = $85

Cost charged for cleaning a pool = $40

Let,

x be the number of pools cleaned.

y be the profit

Profit = Cost of pools cleaned - purchase price of supplies

y = 40x - 85

Hence,

Option A : y = 40x - 85 is the correct answer.

8 0

3 years ago

9. Rachel wants to draw a triangle with

strojnjashka [21]

I think its 6 cm for the 3rd side

5 0

3 years ago