MATHEMATICS HIGH SCHOOL

A candy machine is filled with candy. The weight of the candy can differ from the desired 84 ounce weight by no more than 0.5 ounces. Solve the absolute value equation given in order to find the heaviest and lightest acceptable weights for the candy machine.|x – 84| = 0.5

Answers

Answer 1

Answer: $Formula\ for\ absolute\ value\n\n |a|=a,\ for\ a \geq 0\n or\n|a|=-a,\ for\ a<0\n\n|x-84|=0,5\n\n x-84=-0,5\ \ \ or\ \ \ \ x-84=0,5\n x=-0,5+84\ \ \ \ or \ \ \ x=0,5+84\n x=83,5\ \ \ \ \ \ \ \ \ \ \ or\ \ \ x=84,5\n\nThe\ lightes\weight\ is\ 83,5\ ounce\ and\ the\ heaviest\ is\ 84,5\ ounce.$

Related Questions

Which linear function equation would contain the points below? (-6,-8) and (12,4)
Which statement is true about a line and a point
Plz help what is 2x4+3x5(5x6)+2x6
Consider the line 7x+6y=5.What is the slope of a line perpendicular to this line?What is the slope of a line parallel to this line?Slope of a perpendicular line:005x 5?Slope of a parallel line:a
Prove the identity 2sin^2x - 1 = sin^2x - cos^2x

In the above figure (not drawn to scale), Find ∠AEC. A. 150°
B. 90°
C. 75°
D. 105°

Answers

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=(110^o+40^o)/(2)$

$m\angle AEC=(150^o)/(2)$

$m\angle AEC=75^o$

Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.

Answer : C. 75°

Given : arc length AC=110, CB=20, AD=190, and BD=40

We need to find ∠AEC

The below is the formula for measure of an angle formed by two chords

∠AEC = $(1)/(2) ( arc AC + arcBD)$

We know arc AC = 110 and arc BD = 40

So ∠AEC = $(1)/(2) ( 110 + 40)$

= $(150)/(2) = 75$

∠AEC = 75 degrees

X2−4=0 Which is the solution set for the equation above?

Answers

2x -4 =0
+4=+4
__________
2x 4
-----= ------
2x 2x
x=2

2×2=4-4=0
(if this is what you were looking for)
It's called the equation steps or something and if you need more details just ask

I don't understand this help !

Answers

I hope this helps you

try using wolframalpha to help you on that one

The length of a rectangle is twice the width.The perimeter of the rectangle is 24.What is the value of the width?

Answers

Hope it helped

ThankYou

Solve for x:

-42 = -7x

Answers

Answer:

x=6

Step-by-step explanation:

-7x= -42

x= -42/-7

x=6

Answer:

x=6

Step-by-step explanation:

-42= -7x divide -7 on both sides

6=x negatives cancel out

x=6 flip (not necessary but teachers like it this way)

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.

Answers

Answer:

$y=-(1)/(8)x^2$

Step-by-step explanation:

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2

The distance between the focust and the directrix is the value of 2p

Distance beween focus (0,-2) and y=2 is 4

$2p=4, p=2$

The distance between vertex and focus is p that is 2

Focus is at (0,-2) , so the vertex is at (0,0)

General form of equation is

$y-k=-(1)/(4p)(x-h)^2$

where (h,k) is the vertex

Vertex is (0,0) and p = 2

The equation becomes

$y-0=-(1)/(4(2))(x-0)^2$

$y=-(1)/(8)x^2$

Hello,
The parabola having like focus (0,p/2) and as directrix y=-p/2 has as equation x²=2py

Here -p/2=2==>p=-4

x²=-8y is the equation.

Other Questions

What is the solution to the equation 1.6m − 4.8 = −1.6m?m = 0.5 m = 0.7 m = 1.5 m = 3

Find the area of a sector with a central angle of 32° and a radius of 8.5 millimeters. Round to the nearest tenth.

twelve and three tenths more than five and thirteen thousandths of a number d is equal to fifteen and three hundred two thousandths. what is the value of d?

A bicycle wheel makes five rotations. The bicycle travels 41.87 ft. Find the diameter of the wheel in inches. Use 3.14 for pi. The diameter of the wheel is about nothing in.