Explain how to use a number line to show that opposite quantities combine to make zero.


did I do this correctly??​

Answer:

90+30=120

180-120=60 this is degree measure

The Point F is at 10.

We have on a number line -  

C → at → -6

D → at → 24

We have to determine the coordinates of F which is [tex]$\frac{1}{3}[/tex]  of the way from C to D.

A Number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

According to the question, we have -

C → at → -6

D → at → 24

Total distance between C to D = |24| + |- 6| = 24 + 6 = 30

The coordinates of point F will be -

[tex]$\frac{1}{3} \times 30 = 10[/tex]

Hence, the Point F is at 10.

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Answer:

scale factor = 2.5

x = 10

Step-by-step explanation:

to find the scale factor, divide 10 by 4.

use the answer and divide it by 25 :)

________

10÷4=2.5

25÷2.5=10

The scale factor is 2.5 and the value of x will be 10.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. The scale factor is the ratio of the scaled size to the original size.

Given that one triangle has the sides x and 4 and another has 25 and 10.

The scale factor will be calculated as below:-

Scale factor = 10 / 4

Scale factor = 2.5

Use the answer and divide it by 25. The value of x will be calculated as below:-

x = 25÷2.5

x = 10

Therefore, the scale factor is 2.5 and the value of x will be 10.

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Answer:

87

Step-by-step explanation:

We know Heather recieved grades of 80, 75 and 86.

Let's find her average on those 3 tests.

80 + 75 + 86 = 241   Since there are 3 tests we divide by 3.

241/3 = 80.3333   Is her aveerage on the first 3 tests.

She need to average 82 so we can write an equation with t being the score on her 4th test.

[tex]\frac{80 + 75 + 86 + t}{4} = 82[/tex]

[tex]\frac{241 + t}{4} = 82[/tex]         Multiply each side by 4

([tex]\frac{241+t}{4}[/tex]) * 4 = 82 * 4         4 on the left will cancel

241 + t = 328     Subtract 241 from each side

241 - 241 + t = 328 - 241

t = 328 - 241

t = 87

Heather must get an 87 to have an average score of 82.

3.9x + 0.3 = 12

The answer is X=3

Answer:

The answer is X=3

Step-by-step explanation:

Step-by-step explanation:

(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)

Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.

We know that (n - 2) + n + (n + 2) = 78,

so 3n = 78, and n = 78/3 = 26.

Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.

Feel free to comment below if you have any queries!

Answer:

thats a lot of fish

Step-by-step explanation:

owo

Answer:4 ⅛ pieces of pizza

Step-by-step explanation:

Get lcm of 16 and 20 which is 80

5/80+28/80=33/80

80/80=10

33/80

33/80×10÷80/80=4⅛

Answer

578

Step-by-step explanation:

Answer:

520.468

Step-by-step explanation:

round up to the thousandths place :)

Answer:

Step-by-step explanation:

520.468

Answer:

Solve the problem by taking whats preformed on the variable, inverse it getting the variable by itself.

Answer:

24a³

Step-by-step explanation:

Simplify, then,  2.1  2³ divided by 2¹= 2 (³_¹)= 2²

( 3 . 4³ .2.   =24a³.

Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c[/tex]

For the given case, the expression is simplified by using the given rules as:

[tex][3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\[/tex]

[tex][3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3[/tex]

Thus, the simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]

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Answer:

12 Lemons

Step-by-step explanation:

3 x 4= 12

Step-by-step explanation:

-2x>11-5

x<6/-2

x<-3

Make sure the circle in the number line isnt coloured in!

Answer:

p=11

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

[tex]\frac{2}{5}-(-\frac{5}{6})[/tex]

Remember, a number minus the negative of a number would be equal to that first number plus that second number but not negative. In other words:

a - (-b) = a + b

So:

[tex]\frac{2}{5}-(-\frac{5}{6})=\frac{2}{5}+\frac{5}{6}[/tex]

The sum of two positive numbers would be a positive number. Because of this, we can see that the value would be positive.

I hope you find my answer and explanation helpful. Happy studying. :)

the answer is -43.89

Answer:

-19.57

Step-by-step explanation:

you can also write this equation like this (3.3 x -1.9) (7 x -1.9)

(3.3 x -1.9)= -6.27

(7 x -1.9)= -13.3

now u subtract them

-6.27-13.3 = -19.57

Answer:

The triangle is isosceles.

Step-by-step explanation:

WHY?:

An Isosceles Triangle will have both 2 equal sides and 2 equal angles.

A Equilateral Triangle will have 3 equal sides and 3 equal angles.

A Scalene angle is when all 3 sides have different lengths.

and

A right triangle will have a 90 degree angle.

In triangle LMN, LM is perpendicular on side MN. So that, the triangle LMN is right angle triangle.

To understand more, check below explanation.

A triangle whose all three sides has different length known as scalene triangle.

A triangle in which all three sides are equal in length known as equilateral triangle.

A triangle in which two sides are equal are known as isosceles triangle.

A triangle in which one angle is 90 degrees known as right angle triangle.

Since, In traingle LMN, LM is perpendicular on MN. Therefore, LMN is right angle triangle.

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Answer:

Step-by-step explanation:

(6-1)/2= 5/2= 2.5

(2-0)/2= 2/2= 1

(2.5, 1)

answer is C

Answer:

x = -3

Step-by-step explanation:

First, distribute:

-2x - 16 = 6x + 8

Then, switch the numbers to one side, and switch the variables to another:

-2x - 6x = 8 + 16

Then, simplify:

-8x = 24

Finally, divide -8 on both sides:

We got x = -3

And we're done!

Answer:

Rise over run

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply 82 and 0.6 and subtract 85

Answer:

5 hours

Step-by-step explanation:

Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour

To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed

Solution: Current water temperature at beach= 82 degree

temperature rising rate degrees per hour= 0.6 degrees

let  be the hours passed.

water temperature at the beach after hour h be

                                                               =82+0.6h

Answer:

y= 1.8955223

Step-by-step explanation:

To be honest I am not sure

Good Luck Sorry if it is wrong.

Hey there!

[tex]Answer:\boxed{x=\frac{-1}{2}y+17}\boxed{y=-2x+34}[/tex]

[tex]Explanation:[/tex]

[tex]y=-2x+34[/tex]

flip the equation.

[tex]-2x+34=y[/tex]  flip the equation.

Now add -34 to both sides of the equation.

[tex]-2x+34+-34=y+-34\\-2x=y-34[/tex] add -34 to both sides of the equation.

In our third/last step, we will divide both sides of the equation by -2.

[tex]\frac{-2x}{-2}=\frac{y-34}{-2}[/tex] divide both sides of the equation by -2.

[tex]x=\frac{-1}{2}y+17[/tex] The answer to your equation.

There is nothing to solve for y because the equation was equal to y.

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Subtract 9m from both sides.

6m-6-9m=9m+15-9m

-3m-6=15

2. Add 6 to both sides

-3m-6+6=15+6

-3m=21

3. Divide both sides by -3

-3m/3=21/-3

m= -7

Answer: 36

Step-by-step explanation: