George wrote an integer. The opposite of George's integer is -53. Which of these statements about George's integer must be true? I. The integer is 53. II. The integer has an absolute value of -53. III. The integer is -53. IV. The integers has an absolute value of 53.

Answers

Answer 1

Answer: The integers has an absolute value of 53.

Step-by-step explanation:

Given that:

George wrote an integer ;

Let integer = y

Opposite of integer = - 53

From the options given, the best conclusion that must be true is to say George's integer has an absolute value of 53. Because an absolute value clears our doubt of the integer being positive or negative. Also, an absolute value cannot be negative.

Also, an integer of - 53 cannot have an opposite value of - 53


Related Questions

Points X and Z are on a number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?

Answers

Answer:

13.8

Step-by-step explanation:

if Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if The coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

Order the numbers from least to greatest [ -8, -6, -5, -7]

a. -5, -6, -7, -8 b. -6, -5, -8, -7 c. -7, -6, -8, -5 d. -8, -7, -6, -5

Answers

R= d) -8, -7, -6, -5.

Jen is 52 inches tall. Sam, her younger brother, is 7 inches shorter than Jen. How tall is Sam?

Answers

Answer:

45

Step-by-step explanation:

52-7

=45

PLEASE GIVE BRAINLIEST

help me at this thanks​...please this is an urgency

Answers

Answer:

if simplified is 30

Step-by-step explanation:

600 x 360/7,200

^^^^
What he said....

Please help with my geometry

Answers

Answer:

this is so hard what grade are you in

Answers: C and A


Explanation: bla bla bla (sorry I need 20 words/letters)

A model of a house was drawn using a scale 2in= 12ft. If the model measures 10 inches in length then find the actual length of the house.

Answers

Answer:

60

Step-by-step explanation:

Because 2x5=10 and 12x5=60

A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately . by 3:30 pm, the warehouse contains 90 boxes. supposes the boxes are unloaded at a constant rate. write a formula that shows that total number of boxes in the warehouse as a function of time where Q(t) is the total number of boxes, and t is the time since noon.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!

Answers

The function that shows this situation is given by Q(t) = 3.5t + 55

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let Q(t) represent the total number of boxes, and t is the time since noon in hours.

A warehouse contains 55 boxes, hence b = 55. At 3:30 pm (3.5 hours), the warehouse contains 90 boxes.

90 = 3.5m + 55

m = 10

The function that shows this situation is given by Q(t) = 3.5t + 55

Find out more on linear equation at: https://brainly.com/question/12788590

please EXPLAIN the center of this data set below

Answers

Answer:

well i don't exactly know but its best to ask your teacher for help <3

Step-by-step explanation:

Find side x give answer to 1dp

Answers

Answer:

X= 10.8

Step-by-step explanation:

Need help ASAP!!!! Been thinking for a long time.

Answers

Answer:

81%

Step-by-step explanation:

First, let's set up 3 equations:

w*0.6 = x

x*1.5=y

y*0.9=z

Now, we can substitute x in the second equation for w*0.6:

w*0.6*1.5 = y

Lastly, we can substitute y in the last equation for w*0.6*1.5:

w*0.6*1.5*0.9=z

w*0.81=z

Therefore, z is 81 percent of w.

what number does w^2 - w^3 represent when w=-5

Answers

Answer:

-100

Step-by-step explanation:

(-5)^2- (-5)^3=

25-125= -100

Hey there!

plug in the value of w and solve:

(-5)²-(-5)³

25-(-125)

25-125

-100

Hence, -100 is the answer.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

What are the values of w and x?

Answers

Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

please help me answer this question!! I don’t understand it at all. picture attached

Answers

Answer:

Step-by-step explanation:

whats the angle between m,n,i i think thats what its asking but i dont know for sure.

Number 6 and 7 please hurryyyyyyyy

Answers

hopefully this is right

Two linear equations

Answers

Answer:

x=3y-2

x+3y=6

if x value is above

place the value of x

3y-2+3y=6

3y+3y_=6+2=8

6y=8

y=8/6=4/3

y=4/3.

I don't know it's correct .which I think I did.

x=3,4/3-2

x=12/3-2/1

to make alceeam same 2/1we multiply by 3

x=12/3 -6/3

x=12-6/3

x=6/3

x=2

the answer is

2,4/3

Directions: Write each equation in slope intercept form (y = mx + b)

1...2x+y=1
x-2y=8

2... 3x+2y=4
x+2y=-4

3... 4x+y=1
x+y=-2

SHOW WORK

Answers

Answer:

Below.

I Hope it helps :)

Step-by-step explanation:

Slope intercept form :

y=mx+b

1.

[tex]2x + y = 1[/tex]

Slope intercept form :

[tex]y = - 2x + 1[/tex]

Equation :

[tex]x - 2y = 8[/tex]

Slope intercept form :

[tex] - 2y = - x + 8[/tex]

or

[tex] y = \frac{1}{2} x - 4[/tex]

2.

[tex]3x + 2y = 4[/tex]

Slope intercept form :

[tex]2y = - 3x + 4 \\ [/tex]

Divide through by 2

[tex]y = - \frac{3}{2} x + 2[/tex]

Equation :

[tex]x + 2y = - 4[/tex]

Slope intercept form :

[tex]2y = - x - 4[/tex]

Divide through by 2

[tex]y = - \frac{1}{2} x - 2[/tex]

3.

[tex]4x + y = 1[/tex]

Slope intercept form =

[tex]y = - 4x + 1[/tex]

Equation :

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

Slope intercept form :

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

Solve for x.

x^2−3x=10

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=5,−2

Step-by-step explanation:

I can do math

Once you have identified a problem, the next step is to determine the possible solutions, which are called

Answers

Answer:

decision alternatives

Step-by-step explanation:

uhhh yea thats pretty much it -

The shapes nelow are shaded to show two different fraftions, Are the fractions equivalent? Use the drop down menus to best explain your answerr

Answers

Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

please help me answer the question

Answers

Answer:

paul had £5x=£65

Step-by-step explanation:

Dan: Paul = 9:5

Dan £9x, Paul £5x

9x-26=5x+26

9x-5x=52

4x=52

x=13

9x=117

5x=65

paul had £5x=£65

If I ran 10x-2 now and then ran 2x+18 tommarow how much have I ran in total

Answers

Answer:

10x-2+2x+18

=10x+2x+18-2

=12x+16

Answer:8x-16

Step-by-step explanation:

A bridge is built in the shape of a parabolic arch. The bridge has a span of s= 140 feet and a maximum height of s= 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center

Answers

Answer:

_Given data: _

The bridge has a span, s = 140 feet

Maximum height of the bridge, h = 25 feet

Let the vertex is,

V

=

(

0

,

25

)

Step-by-step explanation:

A man is paid $9.60 per hour for a 40 hour week and he is paid at a time and a half for overtime. Find how many hours of overtime he worked when his wage for a certain week was $528.00

Answers

The answer is 30 hours of overtime
If you need an explanation ask me in the comments

STEPS
1)
1. Write the coordinates of the 1st and
2nd points.
2. Label the coordinates of the first point
as
(X1,Y1) and the 2nd point as (X2
Y2).
3. Use the formula
m=Y2-Y
X2 - X
1st Point 2nd Point
1st Point:
2nd Point:
m=Y-Y
X2 - X
m=Y-Y
X2 - X

Answers

Answer:

The first point is right in the origin, so it's (0,0)

Our second point is (2, 1)

Our first point (0,0) would look like if labeled

0(X1) , 0(Y1)

Our second point would look like if labeled

2(X2) , 1(Y2)

Order them to find the slope;

1 - 0        1

____ = ___, our slope for this is 1/2

2 - 0       2

Porfavor para hoy dice el papa de Rafael va a construir una picina afuera de su casa en forma de cuadrado en el area de 121 pies cuadradas. Alrededor de la picina quiere construir una plataforma de cuatro pies de ancho, Explicale a Rafael paso apaso como calcular el perimetro de la plataforma, Despues me dice que explique paso a paso en mis propias palabras como calcular el perimetro de la plataforma

Answers

Answer:

Deducir ecuación de área del cuadrado/Despejar y calcular longitud de lado/Deducir ecuación de perímetro/Calcular perímetro del cuadrado.

Perímetro: 44 pies cuadrados.

Step-by-step explanation:

Podemos explicarle al papa de Rafael lo siguiente:

Estimado señor.

Una piscina de forma cuadrada tiene la forma de un cuadrilátero con cuatro lados iguales y cuatro ángulos rectos en sus vértices. El área del cuadrado es igual a la longitud de cualquiera de sus lados multiplicada por si misma. Es decir:

[tex]A = l\cdot l = l^{2}[/tex] (Eq. 1)

Entonces, la longitud de cualquiera de sus lados es la raíz cuadrada del área de su piscina. Es decir:

[tex]l =\sqrt{A}[/tex] (Eq. 1b)

Donde [tex]l[/tex] y [tex]A[/tex] son la longitud de lado y el área de la piscina, medidos en pies y pies cuadrados, respectivamente.

Si sabemos que su piscina tiene un área de 121 pies cuadrados ([tex]A = 121\,ft^{2}[/tex]), entonces la longitud del lado de piscina es:

[tex]l = \sqrt{121\,ft^{2}}[/tex]

[tex]l = 11\,ft[/tex]

Tenemos que la longitud del lado es 11 pies.

Ahora, el perímetro es la suma de las longitudes de los lados del cuadrado. Si el cuadrado tiene 4 lados de igual medida, entonces el perímetro del cuadrado es igual a cuatro veces esa longitud. Esto es:

[tex]p = 4\cdot l[/tex] (Eq. 2)

Donde [tex]p[/tex] es el perímetro, medido en pies.

Si conocemos que la longitud del lado es 11 pies ([tex]l = 11\,ft[/tex]). En consecuencia, encontramos que el perímetro de su piscina es:

[tex]p = 4\cdot (11\,ft)[/tex]

[tex]p = 44\,ft[/tex]

El perímetro de su piscina es de 44 pies.

Which represents the distance between A(2, 3) and B(-1,-1)?

Answers

Answer:

5 units

Step-by-step explanation:

(x1, y1) =A(2,3)

(x2,y2) =B(-1,-1)

Using distance formula,

AB^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-1-2)^2 +(-1-3)^2

=9+16

=25

Therefore, AB=5 units

If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup.

Answers

Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

20% of 30 grams = 6grams of sugar

6 grams + 10 grams = 16 grams of 40% instead of 30 now

Therefore, 40g----------100%

                  16g-----------40%

Answer:

   40 grams of 40% sugar syrup

Step-by-step explanation:

40 grams of 40% sugar syrup

30+10== 40 g  

 

20% sugar in 30  =  1/5 of the syrup is sugar. = 6 g of sugar

6+10 =  16g of sugar in 40 grams of syrup.

16/40=x/100

Cross multiplication

x=40

What is the equation of the translated function? f(x) = (x – 1)2 – 5 f(x) = (x 1)2 5 f(x) = (x – 5)2 – 1 f(x) = (x 5)2 1

Answers

The equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5

What will be the equation?

The vertex of the original function is (0, 0 )

The vertex of the translated function is (- 1, 5 )

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

The translated graph has been shifted 1 unit left, thus

f(x) = (x + 1)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The translated graph has been shifted 5 units up,

Thus the equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5

To know more about functions follow

https://brainly.com/question/875118

Answer:

f(x) = ( x + 1 )^2 + 5

Step-by-step explanation:

What is the distance between the points ‒3 and 19 on a number line?

Answers

Answer:

22

Step-by-step explanation:

19-(-3)

19+3

22

The point (4,200) means 4 bags contain 200 pounds of dog food.
True or false

Answers

It is true .................
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