Combine like terms.

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

$4a+b+a=5a+b$

Vesna [10]3 years ago

5 0

To combine these terms you would add up the a's and b's.
4a+b+a is the same as 4a+a+b. Anything without a constant in front has a value of 1. You have 4a's and you need to add another a. That equals 5a's. The b is left alone since you can only add like variables.
The answer would be C) 5a +b

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3/5+1/4<br><br> Give your answer as a fraction in its simplest form

kodGreya [7K]

Answer:

5.25/5 i think

Step-by-step explanation:

3/5 = 8/10 and 1/4 = 2.5/10

So if I do 8/10 + 2.5 / 10.

My reply is 10.5/10

And if I reduce as max, my reply is: 5.25 / 5

8 0

3 years ago

Ajar holding 36 coins, only nickels and quarters, is worth $6.20. There are eight more quarters than there are nickels. How many

Nonamiya [84]

Answer:

Step-by-step explanation:

Let n represent the number of nickels. Then the number of quarters is 36-n. The difference is ...

(36-n) -n = 8 . . . . . 8 more quarters than nickels

18 -n = 4 . . . . . . . divide by 2

14 = n . . . . . . . . add n-4 to both sides

There are 14 nickels in the jar.

_____

<em>Additional comment</em>

The problem supplies more information than is needed for a solution. You can work this as a "sum and difference" problem, as we have above, or you can work it as a "mixture" problem where the total coin value comes into play. Any two of the three given relations will give a solution.

n + q = 36 . . . . . . . number of coins

5n +25q = 620 . . . value of coins (in cents)

q -n = 8 . . . . . . . . difference in number of coins

6 0

2 years ago

write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5

tresset_1 [31]

Answer:

$y=-\frac{5}{3} x-\frac{42}{5}$

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

$y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}$

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive $\frac{3}{5}$ , the opposite is $-\frac{3}{5}$ .