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quester [9]
3 years ago
10

Solve 12n+7p - 6n = 25p for n.

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

n = 3p

Step-by-step explanation:

12n + 7p - 6n = 25p; solve for n

First we will add like terms in the left side

12n - 6n + 7p = 25p

6n + 7p = 25p

Subtract 7p to both sides

6n + 7p - 7p = 25p - 7p

6n = 18p

Now divide 6 from both sides

6n/6 = 18p/6

n = 3p

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Sue has $2.80 in dimes and nickels. If she has 13 more dimes than nickels, how many of each coins does she have?
olga55 [171]
I have seen this question before and I think you meant 10 more dimes than nickels.

We can use substitution to answer this question. The value of a nickel is 5 cents, and we can use the variable n to represent the number of nickels. The value of a dime is 10 cents, and we can use the variable d to represent the number of dimes.

First lets figure out the equations.
.10d+.5n=2.80 (the number of nickels (n) multiplied by .5 will tell us their money value. Same thing for the dimes)
d-n=10 (since there are 13 more dimes than nickels, the number of dimes value (d) minus the number of nickels value (n) will give us 10)

Now lets isolate a variable in one of the equations, preferably the second one because it doesn't have any visible coefficients,

d-n=10
-n=10-d (subtracted the d from both sides)
n=-10+d (made the n positive)

Now that we have the value of n, we can plug it into the other equation.

.10d+.05n=2.80
.10d+.05(-10+d)=2.80 (we replaced the n with the value that we previously got)
.10d-.5+.05d=2.80 (did the multiplication)
.15d-.5=2.80 (combined like terms)
.15d=3.30 (added the .5 to both sides)
d=22 (divided both sides by the .15)

Now that we know that there are 22 dimes and we also know that there are 10 less nickels than dimes, so we can subtract 10 from 22 to get the number of nickels. 22-10=12

d=22
n=12


5 0
3 years ago
PLS HELP!!!! I need help in algebra, no links, no stealing points, and only correct answers or you will be reported!!! I AM GIVI
exis [7]

Answer:

D is the answer

Step-by-step explanation:

multiple the exponents when the equation is in parenthesis like that! and do 3 cubed which equals 27.

8 0
2 years ago
Read 2 more answers
Find the area of the figure. Round to the nearest hundredth when necessary.
Delvig [45]

Answer:

215.20 ft^2

Step-by-step explanation:

The figure has 2 semi-circles.

First we find the area of each circle using the formula \pi r^{2} because that is the area formula for a circle.

The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.

Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.

Left: r=11

Right: r=4

Then, plugging both into the formula for area of a circle, we get

Left: 380.1327

Right: 50.26548

We must divide each by two because we are only looking for semi-circle which is exactly half the area of a full circle.

Then,

Left: 190.066

Right: 25.1327

190.066+ 25.1327= 215.199 = 215.2ft^2

8 0
3 years ago
What is the inequality of 10p – 8 ≥ 12.
LenaWriter [7]

Answer:

p > 2

Step-by-step explanation:

3 0
2 years ago
What is the slope of the line that passes through (4, 12) and (5, 16)?
Alex
The slope is 4/1 aka 4!
4 0
2 years ago
Read 2 more answers
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