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3 years ago

4. Two more than a certain number is 15 less

Mathematics

1 answer:

julia-pushkina [17]3 years ago

5 0

2+n = x-15
I think thats it

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I’m not sure if I got the answer right and I need help on the table I’m lost

harkovskaia [24]

The given information permits us to calculate the circumference (C) of the wheel as follows

$C=\frac{265}{5}=53in$

Then (as you said correctly!) the same wheel will move

$(53in)\cdot16=848in$

after 16 rolls.

3 0

1 year ago

A total of 26 bills are in a cash box. Some of the bills are one-dollar bills, and the rest are five-dollar bills. The total amo

kobusy [5.1K]

Answer:

Number of 1 $ bill = 20

Number of 5 $ bill = 6

Explanation:

Let p represent number of one dollar bolls and q represent number of five bills.

A total of 26 bills are in a cash box.

p + q = 26 ------------------------- Equation 1

The total amount of cash in the box is $50

p + 5q = 50 ------------------------- Equation 2

Equation 2 - Equation 1,

p + 5q - p -q = 50 - 26

4q = 24

q = 6

Substituting in equation 1.

p + 6 = 26

p = 20

Number of 1 $ bill = 20

Number of 5 $ bill = 6

3 0

3 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

3 years ago

What is the slope of a line parallel to the line whose equation is x-6y = 42. Fully reduce your answer.

Maksim231197 [3]

The slop would be 1/6.

you put it into slope intercept form (y=mx+b). parallel lines always have the same slope.

4 0

3 years ago

Which expression is equivalent to the given expression?

bogdanovich [222]

<span>−(2n−6)
= -2n + 6
= -2(n - 3)

answer is </span><span>1. −2(n−3)

</span>

4 0

3 years ago