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Naddik [55]
3 years ago
13

Miss money penny inherits £520 from a secret agent.she decides to save some of the money and spent the rest.The ratio of savings

to spending money is 5:8.How much does she save and how much does she spend
Savings:
Spending money:
Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0
Savings : Spending = 5:8

Sum of ratio = 5 + 8 = 13.

Fraction of savings =   5/13 

Fraction of spending =   8/13 

Savings is     5/13  *  520   =  5 * 40 = 200

Spending is     8/13  *  520   =  8 * 40 = 320

Savings   =   £ 200

Spending =  £320
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A family buys 5 airline tickets online. The family buys travel insurance that costs $19 per ticket. The
seropon [69]

Answer:

One ticket is $164. The expression is (5*19) + (5*164) or (5*19) + 5x

Step-by-step explanation:

19*5 = 95

915 - 95 = 820

820/5 = 164

The price of one ticket is $164.

Hope this helps. Have a nice day.

8 0
2 years ago
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Find the equation of the line.<br> Use exact numbers.
luda_lava [24]

Answer:

y = -2x + 5

Step-by-step explanation:

Looking at the line, every time it moves one unit to the right, it goes down two units. Therefore, the slope is -2. Since the y-intercept is 5, the equation of this line is y = -2x+5.

I hope this helped!

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4 0
1 year ago
How many groups of sixty are in two hundred forty four?
dedylja [7]
This is not going to be a hole number, it's about 4.0666
6 0
3 years ago
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A regular hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meter
valkas [14]
We know that

[volume of a <span>regular hexagonal prism]=[area of the base]*height
height=volume/area of the base
h=160/64-----> 2.5 m

[surface area </span><span>hexagonal prism]=2*[area of the base]+[perimeter of base]*h
</span>[surface area hexagonal prism]=2*[64]+[30]*2.5----> 203 m²

the answer is
203 m²
5 0
3 years ago
Abby is registering at a Web site and must select a six-character password.The password can contain either letters or digits.
zaharov [31]

Answer:

a. 2176782336 with repeated characters. 1402410240 with no repeated characters.

b. 7964171460 when all letters can be repeated, but not numbers. 118813760 when only one number and letters can be repeated.

I believe that the password with all letters able to repeat and numbers not being able to is the most secure password, because if someone were to guess the password there is a 1/7964171460 chance of guessing the password.

Step-by-step explanation:

A. Since there are 26 different letters and 10 different numbers, there are 36 characters we can type. If characters can be repeated then, there is 2176782336 different passwords, since on all six number there are 36 possibilities each. So, 36 x 36 x 36 x 36 x 36 x 36 or 36^6 is to evaluated to find the answer. If characters are not to be repeated, there are 1402410240 different passwords, since on the first number there are 36, second has 35, third has 34, fourth has 33, fifth has 32, and sixth has 31. So, 36 x 35 x 34 x 33 x 32 x 31 is to be evaluated to solve this.

B. Since all characters that are letters can be repeated, then there are 26 letters to use forever and 10 numbers you can use with a limit. So, 36 x 35 x 34 x 33 x 32 x 31 which is to be solved if only numbers were to be used, which is 1402410240. Then, you add that with 36 x 35^5 and 36 x 35 x 34^4 and 36 x 35 x 34 x 33^3 and 36 x 35 x 34 x 33 x 32^2. which will be 7964171460. If the password must contain one digit, then you must multiply 10 with 26^5. Since, there is 10 different digits to use for the first number and 26 letters to choose from for the other five. So, it will be 26^5 times 10 which is 118813760.

6 0
3 years ago
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