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2 years ago

Harvie buys one notebook for $1. 59 and pens for $0. 29 each. He spends a total of $5.07 Assume there is

Mathematics

1 answer:

Andre45 [30]2 years ago

5 0

Answer:

0.29p + 1.59 = 5.07 where p represents the number of pens

Step-by-step explanation:

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A shopper seeking a bargain combined a 25% off coupon and brought enough money to cover 25% of the base price. Why did this shop

zheka24 [161]

Let's pretend the base price is $100

If the shopper brings enough money to cover 25% of the base price then they are bringing $25

The bargain promises 25% off of the base price of $100, meaning that the bargain price will be $75

The shopper cannot purchase the item because they only brought $25 when they should have brought $75

7 0

2 years ago

18. Manufacturers often package products in a way that uses the least amount of material One measure of the efficiency of a pack

Lemur [1.5K]

Answer:

a. $E=\frac{2h+2r}{rh}$

E of first can = $E=\frac{2h+2r}{rh}$

E of second can = $E=\frac{h+2r}{rh}$

c. Yes

Step-by-step explanation:

The efficiency ratio is:

E = Surface Area / Volume

We can write:

$E=\frac{S}{V}$

Where

S is surface area of cylinder

V is volume of cylinder

The formulas are:

S = $2\pi rh+2\pi r^2$

V = $\pi r ^2 h$

So, the <u>efficiency ratio (E) </u>is:

$E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The first can has radius "r" and height "h", so the efficiency ratio is:

$E=\frac{S}{V}\\E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:

$E=\frac{S}{V}\\E=\frac{2\pi (2r)h+2\pi (2r)^2}{\pi (2r)^2 h}\\E=\frac{4\pi rh +8\pi r^2}{4\pi r^2h}\\E=\frac{4\pi r(h+2r)}{4\pi r(rh)}\\E=\frac{h+2r}{rh}$

We now need to say if the company made a good decision or not.

If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.

The first can has "2h"

The second can has "h"

The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.

We need smaller ratio.

So, 2nd can has indeed smaller ratio, so the company made a good decision.

6 0

2 years ago

A hospital cafeteria has 20 tables. 65% of the tables have 6 chairs at each table. The remaining 35% of the tables have 4 chairs

rosijanka [135]

Total number of tables in the cafeteria = 20

65% of the tables = $\frac{65}{100} (20)$

$=\frac{13}{20}(20)$

= 13

Each table has 6 chairs.

So, total number of chairs that 65% of the tables have = 13 × 6 = 78.

35% of the tables = $\frac{35}{100} (20)$

$=\frac{7}{20} (20)$

= 7

Each table has 4 chairs.

So, total number of chairs that the remaining 35% of the tables have = 7 × 4 = 28.

Hence, total number of chairs in the hospital cafeteria = 78 + 28 = 106.

6 0

2 years ago

Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V s

marin [14]

Answer:

w and y are knights

Step-by-step explanation:

6 0

2 years ago

The sum of two consecutive even integers divided by four is 189.5

Andre45 [30]

The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380

6 0

2 years ago