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taurus [48]
3 years ago
12

Jane buys a lawnmower at 75% off of the original price. She pays $22.What was the original price

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0
The original price was $38.50
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How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Blababa [14]

Answer:

  • digits used once: 12
  • repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

  • the ones digit is an even multiple of 2, and the tens digit is even
  • the ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

__

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

<h3>digits used once</h3>

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

<h3>repeated digits</h3>

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

7 0
2 years ago
Read 2 more answers
There are 18 female students and 16 male students in a class. Which of the following expresses the ratio of female students to m
fiasKO [112]

Hey!

-------------------------------------------------

Solution:

The ratio is FEMALES to MALES.

So its 18/16, 18:16, or 18 to 16.

~Now we need to simplify.

18:16 → 18/2:16/2 → 9:8

*Note* When you have a ratio you need to know which comes first. If you put males to females that incorrect. It has to be correct according to the question.

-------------------------------------------------

Answer:

\large\boxed{B)~9~to~8}

-------------------------------------------------

Hope This Helped! Good Luck!

4 0
3 years ago
The cost of painting the total outside surface of a closed cylindrical tank at 60 paise per meter squae is Rs237.60. The height
valkas [14]

Answer:

volume=509.25 dm^{3}

Step-by-step explanation:

Curved surface area=\frac {237.6}{0.6}=396 dm^{2}=2\pi R(R+H) where R is radius and H is height

Since H=6R then curved surface area=2\pi R(R+6R)=14\pi R^{2}

Therefore,  

396 dm^{2}=14\pi R^{2} and making R the subject

R=\sqrt {\frac {396}{14\pi}}=\sqrt {(9.003622)}= 3.000604 m

Therefore, H=6R=6*3.000604=18.00362 m

Volume=\pi R^{2}H=\pi*3.000604^{2}*18.00362=509.2453 dm^{3}

Therefore, volume=509.25 dm^{3}

6 0
3 years ago
Simplify (3x+2)(x-7)
vovangra [49]
The answer is
3 {x}^{2}  - 19x - 14
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
(3x)(x)
this gives you 3x^2, then you multiple the outer terms
( - 7)(3x)
this gives you -21x, then you multiply the inner terms
(2)(x)
that gives you 2x, finally you multiply the last terms
(2)( - 7)
that gives you 14, now you combine like terms
- 21x + 2x =  - 19x
now you put all the terms together and end up with your solution
3 {x}^{2}  - 19x - 14

8 0
3 years ago
Read 2 more answers
A researcher conducted an experiment to study the effects of an herbal supplement on the duration of the common cold. From a sam
OverLord2011 [107]

Answer:

50 people

Step-by-step explanation:

-An experimental unit is any physical entity or person or animal that can be randomly assgned to a treatment.

-Such a unit is usually referred to as a unit of statistical analysis.

-Both control and actual experimental units are units of statistical analysis despite receiving different treatments.

-Hence, the experimental units of the study is 50 people.

3 0
3 years ago
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