Add 113+(−56) using the number line.

Add 113+(56) Using The Number Line.

Answers

Answer 1

Answer:

Step-by-step explanation:

Start at 1 1/3

Add the negative number.

1 1/3 + (-5/6)

Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Move 2/3 to the left.

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left.

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

So, put the point at 3/6 or 1/2.

Answer 2

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Start at 1 1/3

Add the negative number;

1 1/3 + (-5/6)

Here Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Now Move 2/3 to the left;

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left;

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

Thus 1 1/3+(−5/6) = 3/6 = 1/2

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

Learn more about the concept here;

https://brainly.com/question/13665313

#SPJ2


Related Questions

Solve the equation. | 3k-2 | = 2| k+2 |

Answers

Answer:

[tex]-2/5 \text{ and } 6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|3k-2|=2|k+2|[/tex]

First, distribute the 2 into the absolute value:

[tex]|3k-2|=|2k+4|[/tex]

Definition of absolute value:

[tex]3k-2=(2k+4) \text{ or } 3k-2=-(2k+4)[/tex]

Left:

[tex]3k-2=2k+4[/tex]

Subtract 2k from both sides:

[tex]k-2=4[/tex]

Add 2 to both sides:

[tex]k=6[/tex]

Right:

[tex]3k-2=-(2k+4)[/tex]

Distribute the negative:

[tex]3k-2=-2k-4[/tex]

Add 2k to both sides:

[tex]5k-2=-4[/tex]

Add 2:

[tex]5k=-2[/tex]

Divide by 5:

[tex]k=-2/5[/tex]

So, our solutions are:

[tex]-2/5 \text{ and } 6[/tex]

3p + 4r = q solve for p

Answers

Answer:

[tex] p = \dfrac{q - 4r}{3} [/tex]

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

[tex] p = \dfrac{q - 4r}{3} [/tex]

Answer:

[tex]p=\frac{q}{3} - \frac{4}{3}r[/tex]

Step-by-step explanation:

If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.

Given [tex]3p + 4r = q[/tex], we can do a few actions on it to isolate the variable.

Divide both sides by 3:

[tex]p + \frac{4}{3}r = \frac{q}{3}[/tex]

Subtract [tex]\frac{4}{3} r[/tex] from both sides:

[tex]p = \frac{q}{3} - \frac{4}{3}r[/tex]

Hope this helped!

how do you add and subtract integers?​

Answers

Answer: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

How do I do scientific notation?

Answers

Answer:

Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...

Step 2: Count the number of decimal places moved in Step 1 . ...

Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Step-by-step explanation:

A rectangle has the following vertices. Find the area of the rectangle. (-8, – 6), (4,2), (4, -6), (-8, 2) (1 point)
O 48 square units
0 144 square units
0 38 square units
O 96 square units​

Answers

Answer:

D. 96

Step-by-step explanation:

i need help on trying to solve this i’m stuck

Answers

Answer:

none of the above

Step-by-step explanation:

None of the above now ur not stuck

Evaluate the following,giving your answers in their lowest terms:
a) 1/8_1/8
b) 2/3_1/6
c) 3/18_1/3
d) 3/1/8_1/1/4
e) 1/1/8_4/1/4
f)(9/10_9/100)_1/100

Answers

Answer:

the isn't enough information to answer

Drag the blue point to a place on the number line
indicating a number that is...
...less than 3.

Answers

Answer:

The number line is shown below.

Step-by-step explanation:

We need to represent number that is less than 3 on a number line.

Let x be numbers.

So, [tex]x<3[/tex].

Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.

The number line is shown below.

Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y

Answers

Answer:

the Empty set

Step-by-step explanation:

Recall that the intersection of two sets is another set that contains the elements common to both of the intersected sets.

Since sets A and C have NO element in common, then the answer is:

that the intersecting set is: the Empty set.

Answer:

the empty set

Step-by-step explanation:

this simbol ∩  is the intersection and it works as follows

[tex]X={1,2,3}\\\\Y={2,5,6,3}\\\\[/tex]

and X∩Y={2, 3}

because 2 and 3 are the only ones that are in both sets

so we have

A={a, e, i, o, u}

B={a, l, g, e, b, r}

C={m, y, t, h}

A∩C= the empty set

because A and C don't have any common subset

why are greek letters used in math and their origin and reasons

Answers

Answer:

Because European mathematics is very heavily rooted in the mathematics of ancient Greece, and due to the need for many symbols to represent constants, variables, functions and other mathematical objects, mathematicians frequently use letters from the Greek alphabet in their work.

HELP : The equation r = 3c + 5 represents the values shown in the table below. c 6 8 12 18 r 23 29 ? 59 What is the missing value in the table? 12 35 41 44

Answers

Answer:

answer is 41

Step-by-step explanation:

subscribe to itzz sneaky

:the anser is

41

i just did it

Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)2=4 C. (x−2)2=2 D. (x−1)2=3

Answers

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

x²−2x − 2=0x²−2x + 1 - 3 =0(x - 1)² - 3 = 0(x - 1)² = 3

Correct choice is D

Write the converse of the conditional statement: If 2x+4=8, then x=2

Answers

Answer:

x = 2 so 8 = 4+x2

Step-by-step explanation:

Answer:

4+4=8

Step-by-step explanation:

YAwhats wrong

The length of one leg of the right triangle is 2 ft less than the length of the hypotenuse. The length of the other leg is 1 ft less than the length of the hypotenuse. Find the length of the sides.

Answers

Answer:

The length of the sides are 3 feet and 4 feet, respectively.

Step-by-step explanation:

Given the fact that triangle is a right triangle, it can be represented by Pythagorean Theorem:

[tex]r^{2} = x^{2}+y^{2}[/tex]

Where:

[tex]r[/tex] - Hypotenuse, measured in feet.

[tex]x[/tex], [tex]y[/tex] - Legs, measured in feet.

In addition, each leg can be determined as functions of hypotenuse:

[tex]x = r-2\,ft[/tex]

[tex]y = r-1\,ft[/tex]

Hence, the Pythagorean identity can be expanded and remaining variable may be solved:

[tex]r^{2} = (r-2\,ft)^{2}+(r-1\,ft)^{2}[/tex]

[tex]r^{2} = r^{2}-4\cdot r +4 + r^{2}-2\cdot r +1[/tex]

[tex]r^{2}-6\cdot r +5 =0[/tex]

[tex](r-5)\cdot (r-1) = 0[/tex]

[tex]r = 5\,ft\,\vee\,r = 1\,ft[/tex]

According to the definition of hypotenuse, it must be longer than any of legs. Hence, there is just one solution that is reasonable:

[tex]r = 5\,ft[/tex]

And length of the sides are, respectively:

[tex]x = 5\,ft-2\,ft[/tex]

[tex]x =3\,ft[/tex]

[tex]y = 5\,ft-1\,ft[/tex]

[tex]y = 4\,ft[/tex]

The length of the sides are 3 feet and 4 feet, respectively.

What is the absolute value of -4-9t

Answers

Answer:

−9t−4

Step-by-step explanation:

in a survey of 400 people,80% said that friday was there favorite day of the week .How many people selected friday

Answers

Answer:

(400/100)*80 = 320

Step-by-step explanation:

400 = 100%, just divide by 100 and multiply by 80

Answer:

80%of 400

400-80

400-80 =320

=320 people choose Friday

checking

320

80+20= 100

320+ 80=400

What mathematical property is this? 14xy = 14yx

Answers

Commutative Property
Commutative property

(I have more questions, but I'm sorry for so much of these bc I'm very busy so if u want the rest of the questions Let me know!

Answers

Answer:

7.. option a is right

............................ .. sorry mate I also so busy so that. I can't all ur questions

Which is not an equation of the line going through (6,7) and (2,-1) A. y-7=2(x-6) B. y=2x-5 C. y-1=2(x+2) D. y+1=2(x-2)

Answers

Answer:

C. y-1=2(x+2)

Step-by-step explanation:

A. y-7=2(x-6)-point slope form: y-y1=2(x-x1)-coordinate point: (x1,y1)=(6,7)

Now let's check that the other point works-just sub in the coordinates for the x and y variables.

y-7=2(x-6)\\-1-7=2(2-6)\\-8=2(-4)\\-8=-8

So answer choice A. goes through both points, so no.

B. y=2x-5-slope-intercept form, so just sub in both sets of coordinates separately to see if they each work.

y=2x-5\\7=2(6)-5\\7=12-5\\7=7\\equal

y=2x-5\\-1=2(2)-5\\-1=4-5\\-1=-1\\equal

Both work, so no.

C. y-1=2(x+2)-point slope form that gives us first coordinate set--(-2,1)

Except that the point is actually (2,-1) not (-2,1).  That means that answer choice C is not an equation of the line thaat goes through (6,7) and (2,-1), so yes.

D. Anyway, if we check D--y+1=2(x-2)--coordinate point given: (2,-1), which is correct, so no.

Angel saw an internet pop-up advertisement for an investment that doubles your money every year. If angel invests the $20 her grandmother gave her for her birthday, how much will she save in various years?

Answers

2 years it would be 40

which polynomials are in standard form

Answers

Answer:

B) -2t^2+3t+5

and

C) 4t-7

El promedio trimestral de Víctor en Matemática es 5,5. Durante el trimestre tuvo 4 calificaciones en esta asignatura: dos notas 6,0, una nota 4,8 y otra que no recuerda. ¿cuál es la nota que Víctor no recuerda?

Answers

Answer:

La nota que Víctor no recuerda es 5.2

Step-by-step explanation:

La media es el valor promedio de un conjunto de datos numéricos y es también llamada promedio o media aritmética.

Su cálculo se obtiene al sumar todos los datos disponibles y dividir el resultado por el número total de esos datos:

[tex]Promedio=\frac{x_{1} +x_{2} +x_{3}+...+x_{n} }{N}[/tex]

donde N el número total de observaciones.

En este caso:

[tex]Promedio=\frac{x_{1} +x_{2} +x_{3}+x_{4} }{4}[/tex]

Siendo:

Promedio= 5.5x₁=6x₂=6x₃=4.8x₄=?

y reemplazando:

[tex]5.5=\frac{6 +6 +4.8+x_{4} }{4}[/tex]

Se obtiene:

5.5*4=6+6+4.8 +x₄

22=6+6+4.8 +x₄

22-6-6-4.8=x₄

x₄=5.2

La nota que Víctor no recuerda es 5.2

Skill Sumi
A. 5= -2(x- 1)

B. 5 = -2x+2
1) How can we get Equation B from Equation A ?
Choose 1 answer:
A)Rewrite one side (or both by combining like terms

B)Rewrite one side or both using the distributive property

C)Multiply divide both sides by the same non-zero constant
D)Multiply divide both sides by the same variable expression

Answers

Answer:

[tex]\Large \boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

[tex]\sf 5 = -2(x - 1)[/tex]

Applying the distributive property.

We distribute the -2 to the terms in the brackets on the right side of the equation to get Equation B.

[tex]\sf 5 = -2(x) -2(-1)[/tex]

[tex]\sf 5 = -2x + 2[/tex]

To get Equation B from Equation A, we rewrite one side or both using the distributive property.

Idk sooo please help

Answers

Answer:

20 points

Step-by-step explanation:

Points:

21, 13, 14 and x for the last game

Average:

(21+13+14+x) / 4 = 1748 + x = 4*1748 + x = 68x = 68 - 48x = 20

They must score 20 points

solve for a a/3+4=6​

Answers

Answer:

a = 6

Step-by-step explanation:

a / 3 + 4 = 6

a / 3 = 2 (Subtract 4)

a = 6 (Multiply by 3)

Evaluate 4g−12 when g=5

Answers

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]4g - 12 = 4 \times 5 - 12 = 20 - 12 = 8[/tex]

Solve for x. 5x+23 = 2(x-5) *
Please answer ASAP

Answers

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x + 23 = 2(x - 5)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{5x + 23 = 2x - 10}[/tex]

Move 2x to left hand side and change it's sign

⇒[tex] \sf{5x - 2x + 23 = - 10}[/tex]

Move 23 to right hand side and change it's sign

⇒[tex] \sf{5x - 2x = - 10 - 23}[/tex]

Collect like terms

⇒[tex] \sf{3x = - 10 - 23}[/tex]

Calculate

⇒[tex] \sf{3x = - 33}[/tex]

Divide both sides of the equation by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 33}{3} }[/tex]

Calculate

⇒[tex] \sf{x = - 11}[/tex]

Hope I helped!

Best regards!!

Mary ears an hourly wage of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?

Answers

The answer is 39 hours. It’s very easy algebra

Can someone pls help

Answers

Answer:

It looks like the number line is going by 2's. So I would say the answer is 20.

Hope this helps!

Answer: 20

Step-by-step explanation:

Assuming for every line you go up you increase the by 2.

So if you have 8 you skip a line and you end up at 12 the next line the line in between those 2 numbers should be 10. Leaving you with a sequence of numbers and if you keep going along 12, 14, 16, 18, you arrive at 20.

A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1 over 7 , and the probability of randomly pulling out a strawberry candy is 2 over 7 , what is the probability of randomly pulling out a pineapple candy?

Answers

I think it’s 3 over 7 I am rlly not sure if that’s right I just based it off the pattern
Because 7 is the “denominator” that means there are 7 total candies in the bowl.

So if you already know that you have a 1 in 7 chance of pulling a orange, and a 2 in 7 chance of pulling a strawberry, then the other 4 candies in the bowl will be pineapple.

Therefore the probability of pulling out a pineapple candy would be 4 out of 7.
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