(Dividing Rational Numbers MC)






(Dividing Rational Numbers MC)

Solve 0.504 ÷ 8.

−7.496
0.063
0.630
4.032
Solve 0.504 ÷ 8.

−7.496
0.063
0.630
4.032

Answers

Answer 1

The correct answer for  0.504 ÷ 8 is option B which is 0.063

How to solve 0.504 ÷ 8

0.504 / 8 is solved by removing the decimals first and then the division as required.

0.504 / 8

= 504/1000 / 8

= 504 / 8000

= ( 504 / 8 ) * ( 1 / 1000 )

= 63 *  ( 1 / 1000 )

= 0.063

What are rational numbers?

These are class of numbers that can be represented as fractions inform of two integers. Such numbers while in fractions, the denominator should not be zero and while decimal do not need to approximations to terminate them.

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Related Questions

20 points can someone lmk the answer ty

Answers

Answer:

a  c  e

Step-by-step explanation:

A private jet flies the same distance in 7 hours that a commercial jet flies in 5 hours. If the speed of the commercial jet was 99 mph less than 2 times the speed of the
private jet, find the speed of each jet.
Answer

Answers

Answer:

Private jet - 165 mphCommercial jet - 231 mph

Step-by-step explanation:

Let the speed of the private jet is p and commercial jet is c.

Set equations

7p = 5cc = 2p - 99

Solve by substitution

7p = 5(2p - 99)7p = 10p - 49510p - 7p = 4953p = 495p = 495/3p = 165

Find c:

c = 2*165 - 99 = 330 - 99 = 231

Please answer the two question in the photo [ Brainliest + points ]

Answers

Answer:

i think there both obtuse

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

h + c ≤ 80
3h + 3.5c ≤ 100
h + c ≤ 80
3h + 3.5c ≥ 100
h + c ≤ 100
3h + 3.5c ≤ 80
h + c ≤ 100
3h + 3.5c ≥ 80

Answers

The system of inequalities are:

h + c ≤ 100

3h + 3.5c ≥ 80

What are the system of inequalities?

Here are inequality signs and what they mean:

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

Here are the system of inequalities :

number of hamburgers sold + number of cheeseburger sold  ≤  total number of buns

(cost of one hamburger x number of hamburger sold) + (number of cheeseburger sold x number of cheeseburger sold) ≥ $80

h + c ≤ 100

3h + 3.5c ≥ 80

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will give u brainliest
Need 2 submit by tonight need help asap please <3

Three angles add up to 180 degrees, angle one has a measure of 7x+6, angle two has a measure of 2x+3 and angle three has a measure of 10x+9.

Given that the sum of the angles is 180 degrees, what is the measure of angle one? Round your answer to the hundredths place IE 79.50.

Answers

Step-by-step explanation:

please find attached file for the problem. hope it will help you , let me know if you have any further query

What is the range of the numbers below?
8.1
5.2
-8.4
0.9
-4.7
-8.1

Answers

highest number: 8.1
lowest number: -8.4
range = highest number - lowest number
range = 8.1 - (-8.4) = 8.1 + 8.4 = 16.5
The answer is (-8.4,8.1)

What is the answer to this problem?

Answers

the answer of this problem it is 8

Answer:

8

Step-by-step explanation:

Given: x=2

Then,

5x-2 = 5(2)-2

= 10-2

=8

Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?

Answers

Answer:

8 tacos

Step-by-step explanation:

40 tacos    to     15 students

8 tacos       to      3 students

15/3 =5, so divide 40 by 5 to get 8

What is the slope of the line that passes through the points (−4,−6) and (1,−6)?

Answers

The slope is 0 because both of the coordinates have the same Y values :)

what type of solution is y=5x+4+5x-2

Answers

The type of solution to the given simultaneous equations is no solution

What is the solution to the simultaneous equations?

When it comes to linear simultaneous equations as given in the question, there are different types such as; one solution, no solution or infinitely many solution.

We are given the simultaneous equations;

y = 5x + 4   ---(1)

y = 5x - 2   ----(2)

Using elimination method, subtract eq 1 from eq 2 to get;

0 = -2 - 4

0 = -6

0 cannot be equal to -6 and as such there is no value of x that makes the simultaneous equations true. Thus, the type of solution to the given simultaneous equations is no solution

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The angle below measures
__ degrees.

Answers

The angel measures 5 degrees

Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4

Answers

Equation (1) ,(2),and (3) are the form of linear equation.


A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
(1). 5+2y= 13
2y=13-5
2y= 8
y=4.
So this is the form of mx+b
Where b=4 and x=0.
(2). y = x²³+7
It is the form of mx+b .
where mx = x²³ and x=7

(3). y-5= 2(x-1)
y-5 = 2x-2
y=2x-2+5
y=2x+3
It is completely the form of mx+b .
where m= 2 and b = 3.

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a tv show had 4,320,000 viewers for its season premiere. express this number using scientific notation.

Answers

Answer:

Step-by-step explanation:

See attachment

Please help!! Graph the image of the trapezoid
below using a scale factor of
k= 1/4

Answers

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

Reduction and enlargement of figures using scale factors.

A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.

The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

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Consider a cube with an inscribed sphere. The function can be used to find the radius, r, of a sphere given the volume, v. The function can be used to find the side length of the cube, s, depending on the radius of the sphere. The function can be used to find the surface area, a, of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?

Answers

The composed function for the surface area of the cube for any given volume of an inscribed sphere, A(V) =  24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]

The function used to find the radius r of a sphere given volume V,

r(V) = [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]

The function used to find the length of the side s of the cube depending on the radius r of the sphere, s(r) = 2r

The function used to find the surface area A of the cube depending on the side of the cube s, A(s) = 6s²

We need to find the composed function for the surface area A of the cube for any given volume V of an inscribed sphere. i.e., A(V)

We have, A(s) = 6s²

Substituting function for s to A(s)

⇒ A(s(r)) = 6(2r)² = 24r²

Substituting function for r into A(s(r)),

⇒ A(s(r(V))) = 24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex])²

So the function for the surface area of the cube depending on the volume of the inscribed sphere, A(V) =  24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]

The question is incomplete. Find the complete question below:

Consider a cube with an inscribed sphere. The function  r(V) = [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex] can be used to find the radius, r, of a sphere given the volume, V . The function  s(r) = 2r can be used to find the side length of the cube, s , depending on the radius of the sphere. The function A(s) = 6s² can be used to find the surface area,  A , of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?

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Answer:

Answer is D

Step-by-step explanation:

find the equivalent fractionsss with large denominatorsss

Answers

Answer:

12

Step-by-step explanation:

[tex] \frac{3}{8} = \frac{?}{32} [/tex]

8*4=32

3*4=12

Sophie borrowed some money from her friend in order to help buy a new video game system. Sophie agreed to pay back her friend $2 per week and originally borrowed $10. Make a table of values and then write an equation for L,L, in terms of t,t, representing the amount Sophie owes her friend after tt weeks.

what is the equation and the 1 2 3 4

Answers

The equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is; L = 2t + 10

How to write an equation in Slope Intercept Form?

The general formula for equation of a line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the given question, the table of values is;

Number of weeks         Amount of money owed

      0                                   10

      1                                     8

      2                                    6

      3                                    4

Now, since Sophie agreed to pay back her friend $2 per week and originally borrowed $10, it means that;

Slope = 2

y-intercept = 10

Thus, the equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is;

L = 2t + 10

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I need help asap!! (Geometry)

Answers

Answer:

Below

Step-by-step explanation:

Flower bed A

C = 2πr

C = 2π(5)

C = 2(5)π

C= 10π

A= πr²

A= π(5)²

A= π25

A= 25π

____________________________________________________

Flower bed B

C = 2πr

C = 2π(6)

C = 2(6)π

C = 12π

A = πr²

A = π(6)²

A = π36

A = 36π

.
...........................

Answers

Agreed.
You did a great job!

Do number 8 please thank you

Answers

Answer:

a) true

b) false

c) false

Step-by-step explanation:

Here are these 4 sets in order of including more numbers to including fewer numbers.

R = all real numbers

Z = all integers

W = all whole numbers

N = all natural numbers

a) true

b) false

c) false

solve -15.4+25.2+(-10.4)=

Answers

Answer:The answer is -0.6

Step-by-step explanation: -15.4-10.4 is -25.8

                                             -25.8+25.2 is -0.6

                           So therefore the answer is -0.6

the answer to this is —0.6

How to solve the inequality -20 ≤5a-10 <25

Answers

Answer:

-4[tex]\leq[/tex]a<7

Step-by-step explanation:

-20[tex]\leq[/tex]5a -10<25  add 10

+10       +10  +10

-20 [tex]\leq[/tex]5a<35  Divide all the way through by 5

-4[tex]\leq[/tex]a<7

Expressed as a product of its prime factors in index form, a number n is n = 3 times 5 squared times x cubed. express 5n squared as a product of prime factors in index form. give your answer in terms of x.

Answers

5n² can be expressed as, 5n² =  3² x 5⁵ x x⁶

Given that n can be written as the product of the primes as

n = 3 x 5² x x³

This expression for n is called the prime factorization of n.

We need to express 5n² as such a product of primes.

For that taking square of n, add the power 2 with the existing powers of 3,5 and x,

So, n² = ( 3 x 5² x x³)² = 3² x 5⁴ x x⁶

So 5n² = 5(3² x 5⁴ x x⁶)

Multiplying 5 with the existing power of 5, 5⁴,

5n² = 3² x 5⁵ x x⁶

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in exercises 13–17, the position d of a bicyclist (measured in kilometers) is a linear function of time t (measured in minutes). at time t

Answers

The position of the bicyclist at t=8 minutes is 3.2 km

Speed is the rate of change of position of an object in any direction.

position the way in which something or someone is placed or arranged.

when time t = 6 position d = 5

when time t = 5 position d = 2

when time t = 8 position d = x

therefore we can say

8 / x = 5 / 2

x = 8 * 2 /5

  = 3.2 km.

Hence the position of the bicyclist at t=8 minutes is 3.2 km.

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complete question:

The position "d" of a bicyclist (measured in kilometers) is a linear function of time "t" (measured in minutes). At time t=6 minutes, the position is d=5 km. If the bicyclists travels at 2 km for every 5 minutes, find the position of the bicyclist at t=8 minutes.

how many significant digits are there in the number 2.25x10 using significant digits

Answers

Answer:

3

Step-by-step explanation:

2.25×10=22.5

If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.


The parking garage charges $3 per hour to park for two hours or less.
The garage charges $3 for each additional hour of parking, up to and
including 5 hours. If a car uses the parking garage for more than 5
hours, there is a flat fee of $20.
Fill in the missing domain values for the following situation.
3x
(Value 1) ≤ x ≤2
f(x) = 6 4(x - 2) (Value 2) < r ≤ 5
20
x> (Value 3)
Value 1 =
Value 2 =
Value 3

Answers

The function will become:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

We are given that:

The parking garage charges $ 3 per hour if the car is parked there for less than 2 hours.

So, we get that:

Parking fees = 3 x for 0 ≤ x ≤ 2

Now, we get that, if the car is parked for more than 2 hours and less than 5 hours, then the parking fee is

6 + 4 ( x - 2) for 2 < x ≤ 5

Now, we are given that it charges a fixed fee of $ 20 if car is parked for more than 5 hours. So, the parking fee will be

20 for x > 5

So, the function becomes:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

Therefore, we get that, the function will become:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

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Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.

Answers

Answer: 2a-2ab+7

Step-by-step explanation:

6a-5ab+8-(4a-3ab+1)=

6a-5ab+8-4a+3ab-1=

2a-2ab+7

Answer:

2a - 2ab - 9b + 7

Step-by-step explanation:

The step here is to collect the like terms available like this;

6a - 5ab - 9b + 8

- 4a - 3ab - 0 + 1

which is = 2a - 2ab - 9b + 7

Write an equation in point-slope form

I NEED HELP ASAP

Answers

[tex]\huge\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]

Given a point and a slope, we want to write an equation in point-slope form.

The point-slope form is defined as:

[tex]y-y_1=m(x-x_1)[/tex]

In this equation, [tex](x_1, y_1)[/tex] is a known point on the line and [tex]m[/tex] is the line's slope.

Substitute in the values:

[tex]y-(-2)=-\dfrac{4}{3}(x-3)[/tex]

Finally, simplify. Subtracting a negative number is the same as adding a positive number:

[tex]\large\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]

Find f(4)
if f(x) = -2x² + 4

Answers

Answer:  -28

====================================================

Work Shown:

[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]

Explanation:

Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.

The coordinates of the point
of the way from A to B are____

Answers

The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).

How to find the coordinates of a point within a line segment

In this problem we find a line segment whose endpoints are known: A(x, y) = (- 3, - 6), B(x, y) = (10, 4), and of which we need to find a point C such that it is 3 / 10 of the way from point A to point B, whose exact location can be found by means of the line segment formula:

C(x, y) = A(x, y) + (3 / 10) · [B(x, y) - A(x, y)]

C(x, y) = (- 3, - 6) + (3 / 10) · [(10, 4) - (- 3, - 6)]

C(x, y) = (- 3, - 6) + (3 / 10) · (13, 10)

C(x, y) = (- 3, - 6) + (3.9, 3)

C(x, y) = (0.9, - 3)

The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).

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