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2 years ago

Reduce to simplest form. -3/4-(-1/6)

Mathematics

2 answers:

kherson [118]2 years ago

6 0

Answer:

I have made it in above picture hope it helps

slavikrds [6]2 years ago

5 0

Answer:

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 1 and 6 is

1 ÷ 16

Reduced fraction: 16. Therefore, 1/6 simplified to lowest terms is 1/6.

You might be interested in

Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)

Luda [366]

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

6 0

2 years ago

there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time

hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

$0.05x + 0.1y + 0.25z = 3.65$

Dimes: 3 times greater than nickels:

This means that:

$y = 3x$

Quarters: One greater than double the number of nickels:

This means that:

$z = 2x + 1$

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

$0.05x + 0.1y + 0.25z = 3.65$

$0.05x + 0.1(3x) + 0.25(2x+1) = 3.65$

$0.05x + 0.3x + 0.5x + 0.25 = 3.65$

$0.85x = 3.4$

$x = \frac{3.4}{0.85}$

$x = 4$

y and z:

$y = 3x = 3(4) = 12$

$z = 2x + 1 = 2(4) + 1 = 9$

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0

2 years ago

I need help please! Not sure on this one.

TiliK225 [7]

Answer:

The scale factor is 0.5

Step-by-step explanation:

Figure A is 4 blocks wide and 4 blocks tall, Figure B is 2 blocks tall and 2 blocks wide, to get Figure B from Figure A you would need to scale it down by half (0.5)

3 0

2 years ago

Read 2 more answers

Which expressions are equivalent to the given expression?

Komok [63]

-51 - 6i AND -3 + 2i - 2(24) - 8i are correct :)

5 0

2 years ago

The cost to rent a car from Hertz is $15 for the day plus $0.50 per mile that you drive that day. The cost to rent a car from En

aniked [119]

Answer:

40 miles.

Step-by-step explanation:

Given that the cost of renting a car in Hertz is $ 15 per day plus $ 0.50 for each mile traveled, while in Enterprise the cost is $ 25 per day plus $ 0.25 per mile traveled, to determine how many miles should be traveled to incur the same expenditure in both companies the following calculation must be made:

25 - 15 = 10

0.50 - 025 = 0.25

10 / 0.25 = 40

Therefore, to incur the same cost, 40 miles must be traveled, which is verified with the following calculation:

25 + 0.25 x 40 = 35

15 + 0.50 x 40 = 35

5 0

2 years ago