All categories

3 years ago

How can u find the unit rate on a graph that goes through the origin

1 answer:

3 0

To determine a unit rate, the denominator of the fraction must equal 1.

Example:
17 miles
1 gallon
= 17 miles per 1 gallon = 17 miles per gallon

If the denominator of the fraction is not equal to 1, compute the unit rate by dividing.

Example:
120 hours
2.5 weeks
= 120 hours ÷ 2.5 weeks = 48 hours per week

Unit rates should fit the context of the problem and make sense.

Example: Five apples cost $1.75.
$0.35 per apple or approximately 2.86 apples per dollar.

You might be interested in

Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

docker41 [41]

Hi there!

$\large\boxed{(-\frac{5}{3},-\frac{5}{3})}$

We can begin by setting the two expressions equal to solve for t:

2t - 1 = 5t

Subtract 2t from both sides:

-1 = 3t

Divide both sides by 3:

t = -1/3

Plug in this value of t into x(t) and y(t):

x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3

y(-1/3) = 5(-1/3) = -5/3

Thus:

(-5/3, -5/3) are the corresponding coordinates.

7 0

3 years ago

What is the approximate volume of one refraction cup? What’s its formula ?

Marizza181 [45]

Answer:

Volume = 0.1696 L

The formula is Area of base of refraction cup × Depth of the refraction cup

Step-by-step explanation:

The dimensions of a refraction cup are;

Diameter = 120 mm

Depth = 30 mm

Therefore, volume of the refraction cup = Area of base × Depth

Volume of the refraction cup = (π×120²/4)/2 × 30 = 169646.003 mm³

1 L = 1000000 mm³

Therefore, 169646.003 mm³ = 169646.003/1000000 m³ = 0.1696 L

The formula is Area of base of refraction cup × Depth of the refraction cup.

6 0

3 years ago

A call from Birmingham to Avon costs $0.19 for the first mintute and $0.12 for each additional minute. How much does a 2 - minut

FromTheMoon [43]

$0.19+$0.12=$0.31A two minute call would cost $0.31

7 0

3 years ago

Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2

Rasek [7]

The factorisation of the given expressions is as follows;

a) p²y²– 2py + 1 = (py -1)²
b) a²y² -2aby +b² = (ay - b)²

<h3>Factorization using identities</h3>

The given identity is;

a²– 2ab + b² = (a – b)²

From the given identity, we can conclude that;

In the expression (a);

py represents a in the identity and 1 represents b in the identity.

In the expression (b);

ay represents a in the identity and b represents b in the identity.

Hence, the factorised expressions are as represented above.