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iren [92.7K]
3 years ago
6

The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or consonants in the word?

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0
If the ratio is 5-7... this means there are more consonants
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8.4.9 On or off the line & Practice Problems
Andrews [41]

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

5x + 2y = 40

2y = -5x + 40

y = -2.5x + 20 ---------(1)

Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)  

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

Number of quarters → 15

Number of dimes → 2

4 0
3 years ago
Mary who is 13 years old wants to have $8500 to travel to Argentina when she’s 21 years old. She currently has $6439 in savings
marishachu [46]

Answer:

a; she will have $8812

b: It will be enough for her trip

Step-by-step explanation:

In this question, we are tasked with calculating how much a certain value in a savings account that is earning an interest that is compounded annually will be worth.

To calculate this, we use the compound interest formula;

A = P((1+r/n)^{nt}

Where A is the amount after that number of years which of course we want to calculate

P is the principal amount which is the amount we are investing which is $6439 according to the question

r is the interest rate which is 4% = 4/100 = 0.04

t is the time which is 8 years

n is 1 which is the number of times interest will be compounded annually

We plug these values as follows;

A = 6439(1 + 0.04/1)^8

A = 6439(1.04)^8

A = $8,812.22

This amount is greater then the needed $8,500 for the trip and of course it will be enough

8 0
3 years ago
Mr. Webster is buying a carpet for an exercise room in his basement the room will have an area of 230 ft.².
kumpel [21]
Mr. Webster is buying a carpet for an exercise room in his basement the room will an area of 230 ft
5 0
3 years ago
Theresa buys 62 stickers. She gives 6 stickers to her little sister. Theresa then splits the remaining stickers evenly across 8
Alja [10]

Answer:

7 stickers on each page.

Step-by-step explanation:

We start with 62 stickers.

Then we give 6 to the little sister, so we subtract 6 from 62.

62-6=56

Then we divide the remaining 56 stickers evenly across 8 pages.

56/8=7

7 stickers on each page.

5 0
3 years ago
Factor completely. 10x^7-10xy^10
denis23 [38]
Find common factor, in this case the common factor is 10x
So the answer would be 10x(x^6 - y^10)


4 0
3 years ago
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