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3 years ago

60 percent of a number is 66. Which proportion best represents this relationship.

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer:

Step-by-step explanation:

If 60% or .60 of a number is 66, then we write and equation to solve for the original number, x.

.6x = 66 Divide each side by .6

.6x/.6 = 66/.6

x = 66/.6

x = 110

as a proportion it would be:

60:100 = 66:110

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For the expression 6 – y + 3, determine the coefficient for the variable term.

san4es73 [151]

Answer:

-1

Step-by-step explanation:

Any variable without a visible coefficient means it has a coefficient of 1. Since it's negated, the coefficient is -1.

7 0

3 years ago

Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5).

Ghella [55]

Step-by-step explanation:

fill in the missing fraction parts

4 0

2 years ago

3 x one half three halves five sixths one sixth one half

fomenos

Answer:

three halves

Step-by-step explanation:

1/2 * 3 = 3/2 = 1 1/2 = 1.5

Multiple: 1/2 * 3 = 1 · 3/2 · 1 = 3/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 2) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three = three halfs.

3 0

2 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

4 years ago

This photo may seem normal and the guys seems happy but

azamat

Answer:

HA UR KINDA GAY

Step-by-step explanation:

3 0

3 years ago