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lesantik [10]
3 years ago
15

,,,Help Please.. Question in the file.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0
So hmmm there are 5pennies in a nickel, and 10pennies in a dime and 25pennies in a quarter

now, in $6.10, there are 610 pennies

n = amount of nickels coins
d = amount of dime coins
q = amount of quarter coins

so... we know, there are 5*n or 5n pennies in the nickels, and 10*d or 10d pennies in the dimes and 25*q or 25q in the quarter coins, and we know their sum is 610 pennies total, thus

5n + 10d + 25q = 610

now, there are 4 more "n" then "d", so whatever "d" is, "n" is 4  more than that
n = d + 4

and twice as many "q" than "n", so, whatever "n" is, then
q = 2n

\bf 5n+10d+25q=610\implies n+2d+5q=122\qquad 
\begin{cases}
n=d+4\\
q=2n\\
------\\
q=2(d+4)\\
\qquad 2d+8
\end{cases}
\\\\\\
\boxed{d+4}+2d+5\left( \boxed{2d+8} \right)=122

solve for "d", to see how many dimes are there

what about the nickels? well, n = d + 4
what about the quarters?  well, q = 2d + 8
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50% of all the cakes Jenny baked that week were party cakes,
Artist 52 [7]
Let the fraction be 5/5
remaining= 50%*5/5-1/5= 2.5/5-1/5=1.5/5
percentage =1.5/5*100=30%
4 0
3 years ago
Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
Y=3/5x+3 in standard form?
Marina86 [1]

Answer:

3x-5y=-15

Step-by-step explanation:

5 0
3 years ago
55 percent of 48 is the same as 60 percent of what number? I WILL AWARD BRAINLEIST
mars1129 [50]

Answer:

Step-by-step explanation:

55% of 48 = 26.4

0%-------------------------------------60%------------100%

0                                             26.4

60x1.6~=100

26.4x1.6~=44

...55% of 48 is the same as 60% of 44

5 0
3 years ago
Erin received the following scores on her last four spelling tests. 2125, 82%, 0.8, 1720 2125, 82%, 0.8, 1720 Which of these is
AveGali [126]

the highest score is obviously going to be 2125 because that is 100%


6 0
2 years ago
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