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Darya [45]
4 years ago
13

A bulk store sells 200 diapers from Brand (a) for $38.75 and it says 170 diapers from Brand (b) for $35.50. If both brands have

the same quality which is the better deal ?
Mathematics
1 answer:
Mazyrski [523]4 years ago
5 0

Answer:

Brand A costs less per diaper

Step-by-step explanation:

To determine if it is the better deal, we need the cost per diaper.  To find the Cost per diaper, take the total cost and divide by the number of diapers

Brand A

Cost per diaper = $38.75/ 200 = $.19375  per diaper

Brand B

Cost per diaper = $35.50/170 =.208823529 per diaper


Brand A costs less per diaper

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Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!
gayaneshka [121]

Answer:  (0, 25) ∪ (25, ∞)

<u>Step-by-step explanation:</u>

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x          <em>added 5√x to both sides</em>

x² = 25x              <em>squared both sides</em>

x² - 25x = 0             <em>subtracted 25x from both sides</em>

x(x - 25) = 0                 <em>factored the quadratic equation</em>

x = 0   and   x - 25 = 0     <em>applied the Zero Product Property</em>

x = 0   and    x = 25              <em>solved for x</em>

<em />

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x   and   5√x     both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0  and    x ≠ 0    and    x ≠ 25    

so, x is between 0 and ∞  but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included.  Infinity always uses a parenthesis since it is not an actual number.

6 0
3 years ago
What is the ratio of 2ft 4in to 2 yards? (A) 2.4:2 (wrong) (B) 1:1 (wrong) (C) 7:18 (D) 1:2 (E) 2:9
andriy [413]

Hey there! :)

Answer:

C. 7 : 18.

Step-by-step explanation:

To solve this, we need to convert each of the measurements given to inches:

2 ft 4 in = 28 inches.

2 yard = 6 feet = 72 inches.

Therefore, expressing this as a ratio would give us:

28 : 72

Simplify by reducing by a factor of 4:

7 : 18. This is the ratio in simplest form.

8 0
4 years ago
A circle with circumference 18 has an arc in with 120 central angel what is the length of the arc?
Rama09 [41]

Answer:

length of the arc = 6 units

Step-by-step explanation:

given : c = 18, \:  central \:  \angle \: ( \theta) = 120 \degree, \: l =?  \\ l = \frac{ \theta}{360 \degree}  \times c \\  \\ l =  \frac{120 \degree}{360 \degree}  \times 18 \\  \\ l =  \frac{1}{3}  \times 18 \\  \\ l = 6 \: units

5 0
4 years ago
Read 2 more answers
Solve the equation:
8090 [49]

Answer:

k = 0

<h3>Step-by-step explanation:</h3>

1) Cancle 4 on both sides.

6k = 0

2) Divide both sides by 6.

k = 0

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>option</u><u> </u><u>C</u><u>.</u><u> </u>

7 0
3 years ago
Given right triangle XYZ, which correctly describes the
Ymorist [56]

Answer:

a is adjacent, b is opposite, c is the hypotenuse

Step-by-step explanation:

A right angled triangle must contain the opposite, the adjacent and the hypotenuse. The opposite is the side that directly faces the angle of interest. The adjacent is the side that is close to the angle of interest.

Given that the angle Y is positioned between X and Z, the point b becomes the opposite of Y. The point a becomes adjacent to angle Y while c remains the hypotenuse of the right angled triangle.

The image below typifies the explanation given above. It shows the relationship between the three sides of the right angled triangle in detail.

8 0
3 years ago
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