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umka21 [38]
3 years ago
12

Omar and Meg just had business cards made. Omar's printing company charged a one-time setup fee of $5 and then $5 per box of car

ds. Meg, meanwhile, ordered hers online. They cost $4 per box. There was no setup fee, but she had to pay $10 to have her order shipped to her house. By coincidence, Omar and Meg ended up spending the same amount on their business cards. How many boxes of business cards did each buy?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

5 boxes each

Step-by-step explanation:

You might be interested in
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.
tester [92]

Answer:

15 lessons for $ 80

Step-by-step explanation:

In case 1

Cost of 1 lesson = $10

In case 2

Cost of 1 lesson = 40/5 = $8

In case 3

Cost of 1 lesson = 80/10 = $8

In case 4

Cost of 1 lesson = 80/15 = $ 5.33

Hence,

The best deal is case 4 i.e 15 lessons for $ 80

3 0
3 years ago
The endpoints of AB¯¯¯¯¯¯¯¯ are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1.
Marina CMI [18]

Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is \frac{3}{4} rds the distance from A to B

The total distance is |16 - 8| = 8  

The distance between point AB is 8 units.

\frac{3}{4} of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

P is at 14

Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

3 0
3 years ago
Step by step 579÷3 plz i need help
ololo11 [35]
579/3 fist you divid 5 by 3 than you subtract them and get two than you bring down your seven and have 27 divided by 3 and that is 9. than you bring down your last number and than you come up with an answer of 193.
8 0
4 years ago
Read 2 more answers
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to
konstantin123 [22]

Answer:

C. 47.5%

Step-by-step explanation:

The  summary of the given statistics include:

mean =150000

standard deviation: 1200

The  objective is to use tributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid: between $150,000 and $152,400

The z score formula can be use to calculate the percentage of the buyer who paid.

z = \dfrac{X - \mu}{\sigma}

For the sample mean x = 150000

z = \dfrac{150000 - 150000}{1200}

z = \dfrac{0}{1200}

z = 0

For the sample mean x = 152400

z = \dfrac{152400 - 150000}{1200}

z = \dfrac{2400 }{1200}

z  = 2

From the standard normal distribution tables

P(150000 < X < 152400) = P(0 < z < 2 )

P(150000 < X < 152400) =P(z<2) -P(z<0)

P(150000 < X < 152400) =0.9772 -0.5

P(150000 < X < 152400) = 0.4772

P(150000 < X < 152400) = 47.7%  which is close to 47.5% therefore option C is correct

3 0
3 years ago
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the
Georgia [21]

Answer: The answers are

(i) The slope of segments DE and AC is not 0.

(ii) The coordinates of D and E were found using the Midpoint Formula.

Step-by-step explanation:  We can easily see in the proof  that the co-ordinates of D and E were found using the mid-point formula, not distance between two points formula. So, this is the first flaw in the Gina's proof.

Also, we see that the slope of line DE and AC, both are same, not equal to 0 but is equal to

\dfrac{y_2}{x_2},

which is 0 only if y_2=0.

So, this is the second mistake.

Thus, the statements that corrects the flaw in Gina's proof are

(i) The slope of segments DE and AC is not 0.

(ii) The coordinates of D and E were found using the Midpoint Formula.

3 0
3 years ago
Read 2 more answers
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