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Jobisdone [24]
3 years ago
11

Solve with elimination

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
I'm pretty sure this is correct

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The bill in a restaurant is $102.25. A tip of 20% is added to the bill. What id tyhe final amount paid?
motikmotik

Answer: $117.59

Step-by-step explanation:

8 0
3 years ago
A collection of coins consists of nickels, dimes, and quarters. There are three fewer quarters than nickels and six more dimes t
weeeeeb [17]

Answer:

You have 15 dimes. You have 9 quarters. You have 12 nickels

Step-by-step explanation:

lets set some variables:

let "n" = the number of nickels

let "d" = the number of dimes

let "q" = the number of quarters

So, the total amount of money you have should be: $4.35 = 0.25q + 0.10d + 0.05n

Now let's look at the relationships between the coins:

"There are three fewer quarters than nickels": n - 3 = q

"six more dimes than quarters": q + 6 = d

So now you have three equations with three variables, all you need to do is solve.

\left \{ {{4.35 = 0.25q + 0.10d + 0.05n} \atop {n - 3 = q}} \atop {q + 6 = d}}\right.

first, you can substitute "n-3" for "q" (according to the 2nd equation) in the 1st and 3rd equation, you get:

\left \{ {{4.35=0.25(n-3)+0.10d+0.05n} \atop {(n-3)+6=d}} \right.

You now only have two equations and two variables.

Simplify:

\left \{ {{4.35=0.25n-0.75+0.10d+0.05n} \atop {n+3=d}} \right.

\left \{ {{4.35=0.30n-0.75+0.10d} \atop {n+3=d}} \right.

Now substitute "n+3" for "d" (according to the 2nd equation) in the 1st equation:

4.35=0.30n-0.75+0.10(n+3)

simplify:

4.35=0.30n-0.75+0.10n+0.30

4.35=0.40n-0.45

4.35+0.45=0.40n

4.80=0.40n

n=12

You have 12 nickels. Now sub "n" back into your equations to find the number of dimes and quarters:

n - 3 = q

12 - 3 = q

q = 9

You have 9 quarters.

q + 6 = d

9 + 6 = d

d = 15

You have 15 dimes.

3 0
3 years ago
How many ways can the letters of the word snow be arranged horizontally so that the letters n and o are always immediately next
vitfil [10]

Answer:

6 times

Step-by-step explanation:

nosw

swno

wsno

nows

snow

wnos

7 0
2 years ago
IM SO DUMB I NEED HELP
alexdok [17]

Answer:

76.0m^2 (you have to have the .0 since it says to round to the nearest <em>tenth</em>)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

A=2(wl+hl+hw)

So just plug in the values.

Height= 4

Width=2

Length=5

A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2

6 0
2 years ago
If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?
Julli [10]
Now, recalling that for 1 yard, there are 3 feet, therefore  \bf \begin{array}{ll}&#10;yards&feet\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;1yd&3ft\\&#10;(1yd)^2&(3ft)^2\\&#10;yd^2&3^2ft^2\\&#10;&9ft^2&#10;\end{array}

and keeping in mind that, there are 4840 yd² in 1 acre, then 

\bf \cfrac{\quad \frac{3}{4}~\underline{acre}\quad }{80000~\$}\cdot \cfrac{4840~\underline{yd^2}}{\underline{acre}}\cdot \cfrac{9~ft^2}{\underline{yd^2}}\implies \cfrac{\frac{3}{4}\cdot4840\cdot  9~ft^2}{80000~\$}\implies \cfrac{\frac{130680}{4}}{80000}&#10;\\\\\\&#10;\cfrac{\frac{130680}{4}}{\frac{80000}{1}}\implies \cfrac{130680}{4}\cdot \cfrac{1}{80000}\implies \cfrac{3267}{8000}~\frac{ft^2}{\$}~\approx~ 0.408375 ~\frac{ft^2}{\$}
5 0
3 years ago
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