All categories

3 years ago

What is the ratio equivalent of 15/20?

Mathematics

2 answers:

notsponge [240]3 years ago

8 0

15/20 simplifies to 3/4

My name is Ann [436]3 years ago

5 0

A ratio stays equivalent when you multiply or divide the same thing to both numbers, just like fractions:

First of all, you can simplify it to

3:4 by dividing both numbers by 5.

Now you can multiply both numbers by 5 to get 75:100

Finally, you can multiply both numbers by 3 to get the ratio 45:60

You might be interested in

At a fundraiser, a school group charges $6 for tickets for a "grab bag." You choose one bill at random from a bag that contains

tino4ka555 [31]

Answer:

124

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Sofia is comparing celluer plans. Company A charges a flat fee of 59.99 a month and .43 additional minutes. Company B charges 69

Vsevolod [243]

Answer: it will take 125 additional minutes for both costs to be equal.

Step-by-step explanation:

Let a represent the number of additional minutes that it will it take for the two to be the same.

Company A charges a flat fee of 59.99 a month and .43 additional minutes. This means that the total cost of a additional units would be

0.43x + 59.99

Company B charges 69.99 a month and .35 for additional minutes. This means that the total cost of a additional units would be

0.35x + 69.99

For the cost of the two plans to be the same, it means that

0.43x + 59.99 = 0.35x + 69.99

0.43x - 0.35x = 69.99 - 59.99

0.08x = 10

x = 125

5 0

3 years ago

Translate Solve the equation. 3m= 5(m + 3)-3 HELP

kvasek [131]

Answer:

m = -6

Step-by-step explanation:

3m= 5(m + 3)-3

Distribute

3m = 5m +15 -3

Combine like terms

3m = 5m +12

Subtract 5m

3m-5m = 5m+12-5m

-2m = 12

Divide by -2

-2m/-2 = 12/-2

m = -6

7 0

4 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

A scale model of a car is 10 in. long. The actual car is 15 ft long. What is the scale of the model?

nikklg [1K]

Oh this question is kinda tricky. At first glance it’s 1 : 1.5 but notice the units. The model car is 10 inches long and the actual car is 15 feet long.

I think you know where to go from there, but 15 feet * 12 inches = 180 inches.

10 : 180 simplifies to 1 : 18 inches

5 0

3 years ago

Read 2 more answers