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3 years ago

What is 17/20 - 4/15

Mathematics

1 answer:

Zinaida [17]3 years ago

4 0

Hello there, today you gave us the problem $\frac{17}{20}-\frac{4}{15}$ ,

Our first step is to give them common denominators, which is $\frac{51}{60}-\frac{16}{60}$ , solve it and we get $\frac{35}{60}$ as our answer, which can be simplified down to $\frac{7}{12}$

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7/18 times 3 in simplest form

IRISSAK [1]

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

5 0

3 years ago

V-16=-32 I need help with the math worksheet how to solve the question

sergeinik [125]

You solve an equation like this by adding the opposite of the constant to both sides of the equation.

... V -16 +16 = -32 +16 . . . . . addition property of equality: if a=c, then a+b = c+b

... V + 0 = -16 . . . . . . . . . . . . additive inverse property of integers: -16+16 = 0

... V = -16 . . . . . . . . . . . . . . . identity element of addition: V+0 = V

_____

You can always do the same thing to both sides of an equation. Here, it is useful to add the opposite of -16 to both sides. That way the constant on the left becomes zero, so you only have the variable by itself—which is what you want.

8 0

3 years ago

Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How muc

BaLLatris [955]

Answer:

The principal for the account is $375.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).

This means, respectively, that $t = 1, E = 12, I = 0.032$

We want to find P.

$E = P*I*t$

$12 = P*0.032*1$

$P = \frac{12}{0.032}$

$P = 375$

The principal for the account is $375.

8 0

3 years ago

Find the x-intercept for 11x - 33y = 99

seropon [69]

It is 9. You have to add 33y, then divide by 11 and you get x = 3y + 9

7 0

3 years ago

Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none

Marysya12 [62]

Answer: The required solution of the given system is

(x, y) = (3, 1) and (4, 0).

Step-by-step explanation: We are given to solve the following system of equations :

$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

(x, y) = (3, 1) and (4, 0).

8 0

3 years ago