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denis-greek [22]
3 years ago
10

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction

Mathematics
1 answer:
Karolina [17]3 years ago
6 0

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

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Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka
love history [14]

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

8 0
3 years ago
The slope of a line is undefined, and the x-intercept is -7. what is the equation of the line?​
Andreyy89

The equation of line with undefined slope and x - intercept -7 is x = -7

<em><u>Solution:</u></em>

Given that the slope of line is undefined and the x intercept is -7

To find: Equation of line

If a line has undefined slope, then it is a vertical line

A vertical line has undefined slope because all points on the line have the same x-coordinate

<em><u>The equation of a vertical line always takes the form:</u></em>

x = b

where, "b" is the x - intercept

Given x - intercept is -7

<em><u>Thus the equation of line is:</u></em>

x = -7

Therefore, the equation of line is found

7 0
3 years ago
There are 34 people going on a field trip. if each car holds 4 people. how many cars will we need?
ss7ja [257]

Answer:

9 cars

Step-by-step explanation:

A car holds 4 people

For 34 people :

34 ÷ 4 = 8 1/2

We canmot put 8 1/2 cars so it's 9. There will just be 2 extra seats.

4 0
3 years ago
In a local​ election, 48,100 people voted. This was an increase of 7​% over the last election. How many people voted in the last
skad [1K]

Answer:

44,733

Step-by-step explanation:

48,100 - 7%= 44,733

8 0
3 years ago
Read 2 more answers
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer d
vladimir2022 [97]

Answer:

16 oz

Step-by-step explanation:

the ratio is 3 oz of oj to 1 oz of seltzer.

I pretty much just divided 48 by 3.

I hope this is correct and I hope it helps you!

3 0
3 years ago
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