USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.

Answers

Answer 1

Answer:

We want to craft:

a/b and c/d

where a, b, c and d can be 2, 3, 4 and 5.

Such that the distance in the number line between these two numbers is maximized.

Then we want one number to be really small, and the other to be really large.

Remember two things:

for numbers like a/b.

if a is smaller than b, then a/b is smaller than 1.

Now, if a is larger than b, then a/b is larger than 1.

And two things,

1/10 = 0.1

10/1 = 10

So when the numerator is larger, the distance displaced in the number line is larger.

Then we want to have:

a number where the numerator is the largest option and the denominator is the smallest option:

a/b = 5/2

And the two remaining options in such way that the numerator is smaller than the denominator:

c/d = 3/4.

The distance between these two numbers is:

D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.


Related Questions

Write equation of the circle with center c(-1, 5) and radius 3

Answers

Answer:

(x+1)^2 + (y-5)^2 = 9

Step-by-step explanation:

center = (h, k)

(x-h)^2 + (y-k)^2 = r^2

(x-(-1))^2 + (y-5)^2 = (3)^2

(x+1)^2 + (y-5)^2 = 9

please Solve

3(2x - 5) = 27

Answers

Answer: x=7

Step-by-step explanation: 6x-15=27

6x=42

x=7

What is the Product?

Answers

Answer:

-108

pls mark me brainlest :(

Step-by-step explanation:

Answer:

-108

Step-by-step explanation:

My tutor was no help !!! Help me please!!!!

Answers

The ratio is 2in to 8mm
so safe to assume 1in represents 4mm.
1in = 4mm

The equation to find the length is:
1.5in = x mm
if we know that 1in is 4mm, 0.5in is 2 mm. So the answer is:
1.5in = 6mm.

The equation to find the width is:
0.75in = x mm
0.75 is 3/4, and 1in = 4mm, so 3/4 of 4 is 3. Therefore,
0.75in = 3 mm

Finally, the answer is:
Length = 6mm
Width = 3mm

2(5n+1???????????????!!!!!!

Answers

Answer:

10n+2

Step-by-step explanation:

Distributive property, 2(5n)+2(1)=10n+2

Answer:

The answer is 10n+2

What is the equation of a line that passes through (-5, 0) and (4,18) in slope-intercept form?

Answers

Answer:

Step-by-step explanation:put (-5,0) on top and (4,18) on the bottom subtract the two and you will get the answer

i need help with this asap!homework is due tomorrow.

Answers

Heyyy!!

HERE'S YOUR ANSWER!

AB²+BC²=AC²

Answer:

If triangle ABC is a right angled triangle,right angled at C

AB²=AC² + BC²

Pls mark me brainliest

Step-by-step explanation:

John's car gets 25.3 miles per gallon. How many
miles can he drive on 11.7 gallons of gas?

Answers

Answer:

Multiply 25.3 by 11.7, to get the answer of 296.01

Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $3 goes towards your trip. You hope to earn at least $150 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your goal.

Answers

Answer:

x > 50

Step-by-step explanation:

Let

x = number of bags of popcorns to sell

Price of each bag of popcorn = $3

You hope to earn at least $150 for the trip.

At least in inequality = >

The inequality is

Price × quantity of popcorns to sell > 150

3x > 150

Divide both sides by 3

x > 150 / 3

x > 50

Please help
...................

Answers

Answer:

It is the third one!

Step-by-step explanation:

HELP NOW PLEASE PLEASAE PLEASE
James has 875 feet of rope. There are 19 teams of hikers.

If James gives an equal amount of rope to each team, how much rope will each team receive?

Each team will receive ___feet of rope.

Answers

Each team would get 46 feet of rope equally. If it wasn’t rounded, the whole decimal would be 46.0526316.

Evaluate the following algebraic expression​

Answers

Answer:

Step-by-step explanation:

13-5=8

8*8=64

Answer:

(13−5)2

=8*8

=64

Step-by-step explanation:

Solve the following proportion using the multiplication property of equality.
2/35=h/60

h=____ (Type as a interger or simplified fraction)

Answers

What is 35/60 Simplified? - 7/12 is the simplified fraction for 35/60. Simplify 35/60 to the simplest form.

Balance the equation with the correct coefficients.
3
4
5
N
KCIO3 →
KCI +
O2

Answers

Answer:

2KClO3 → 2KCl + 3O2

6000 divided by 30 simplified what is it

Answers

Answer:

200

Step-by-step explanation:

6,000 divided by 30 is 200

Answer:

200

Step-by-step explanation:

6000 / 30

= 600 / 3

= 200

write an expression for the area of the following quadrilateral with the fewest terms. all sides are congruent. ALSO PLEASE SHOW ME HOW YOU GOT IT

Answers

Equation: 4(x+3)
Explanation: All sides are congruent which means they are equal. This means that you can just multiply the amount of sides to the length of one side.

Hope this helps! :)

1/5 + 2/3

9/13 - 5/13

1/4 + 1/2

2/9 + 5/6

11/12 - 4/6

8/3 + 2/4

4/5 + 6/30


Answers

Answer:

1. 13/15

2. 4/13

3. 3/4

4. 1 1/18

5. 1/4

6. 3 1/6

7. 1

Step-by-step explanation:

i will use the last one as an example, first reduce, so you would find the common denominator, in this case its 6, so you simplify 6/30 to 1/5. then you have 4/5+1/5, so since u have the same denominator, you can add the two numerators above the common denominator, so it would look like 4+1/5. then add the numbers. so you are left with 5/5 which in other words is 1. i hope this helps!

answers look at the photo, hope it helps

Please Help Me =(
Let f(x) = –7x + 9. Suppose you add 2 to the input of f to create a new function g, then multiply the output of function g by –3 to create function h. What are the slope and y-intercept of the graph of function h?


slope = ?
y-intercept = ?

Answers

Answer:

Im pretty sure slope is 21 and y intercept is 15

The slope is 21 and the y-intercept is -33 of the graph of function h.

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx+ c.

The function is given in the question below as

f(x) = –7x + 9

⇒ f(x) = –7x + 9

Add 2 to the input of f to create a new function g,

⇒ g(x) = –7x + 9 + 2

⇒ g(x) = –7x + 11

Now, multiply the output of function g by –3 to create function h.

⇒ h(x) = (–7x + 11) × -3

⇒ h(x) = 21x - 33

Compare to the line's slope-intercept form,

Therefore, slope = 21 and y-intercept = -33

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

Describe conformity in a simple way the meaning of it.

Answers

Answer:

Step-by-step explanation:Conformity is the most general concept and refers to any change in behavior caused by another person or group; the individual acted in some way because of influence from others

what is 9,045 divided by 15

Answers

603

A simple calculator could do these problems but I hope this helped!

2.
Consider the following graph and rotate point P 90° counterclockwise
around two points: the origin and (-2,4). Sketch both points on the
graph.

Answers

Answer:

[tex]P: (-2,4)[/tex]

[tex]P' : (-4,-2)[/tex]

Step-by-step explanation:

Given

[tex]P: (-2,4)[/tex]

Required

Rotate 90 degrees counterclockwise

Show both points on graph

[tex]P: (-2,4)[/tex]

When a point is rotated counterclockwise by 90 degrees, the new point is:

[tex]P':(-y,x)[/tex]

In

[tex]P: (-2,4)[/tex]

[tex]x = -2[/tex]

[tex]y = 4[/tex]

Hence:

[tex]P':(-y,x)[/tex]

[tex]P' : (-4,-2)[/tex]

See attachment for graph

A rule that airline pilots use to estimate outside temperature in degrees Fahrenheit at an altitude of h thousand feet is to double h, subtract 15, and multiply the result by -1. State a rule for the altitude in feet based upon the outside temperature. At what altitude is outside temperature about -51°F?​

Answers

Answer:

The altitude is 33 thousand feet at the given temperature

Step-by-step explanation:

We firstly would need to write out the rule.

We can do this by by doubling h, subtracting 15 and multiply the result by -1

Kindly note that h is in thousands of feet

That would be ;

T = (2 * h - 15) * -1

T = -1(2h - 15)

T = -2h + 15

T = 15 - 2h

So for the altitude in feet at a temperature of - 51 degrees Fahrenheit

We simply substitute the value of -51 for the temperature

So we have;

-51 = 15 - 2h

2h = 15 + 51

2h = 66

h = 66/2

h = 33 thousand feet

I need help ASAP PLZZZ!!!!

Answers

Answer:

slope is -2/5

y-intercept is 4

Answer:

See Below

Step-by-step explanation:

Ok, so slope intercept form is:

y = mx +b

Where m = slope and b = your y-intercept

lets line them up

   y = mx + b

y =-2/5 x + 4

Notice that the m and b are lined up each corresponding #.

Therefore,

m = -2/5

B = 4

Slope = -2/5

y - intercept = 4

[tex] \frac{7}{10} \times \frac{3}{7} [/tex]
cuánto es?

Answers

Answer:

thats the answer

The sales of a certain product after an initial release can be found by the equation s=10√5t+15 where s represents the total sales (in thousands) and t represents the time in weeks after release. about $78 about $415,000 about $78,000 about $415

Answers

Answer:

About $78

Step-by-step explanation:

The company is not complete. The question is to estimate the sales 8 weeks after release. To do that, we will substitute t = 8 into the modeled function s=10√5t+15

s = 10√5(8) + 15

s = 10√40 + 15

s =10(6.32)+15

s = 63.2+15

s = 78.2

Hence the sales after 8weeks is about $78.

Can you help me find the values of x and z?

Answers

Answer:

x = 96

z = 25

Step-by-step explanation:

x and 84 are supplementary angles.

this means that they add together to make 180.

using this, you can make the following equation:

x + 84 = 180

subtract 84 from both sides of the equation

x + 84 - 84 = 180 - 84

x = 180 - 84

x = 96

84 and 3z + 9 are vertical angles

vertical angles are equal.

using this, you can make the following equation:

84 = 3z + 9

subtract 9 from both sides of the equation

84 - 9 = 3z

75 = 3z

divide both sides of the equation by 3

75/3 = 3z/3

25 = z


Given: AB = CDProve: AC = BD

Answers

Answer:

it would be helpful if there was a diagram but ill write a proof below of how I would solve a problem. however, it may not be what ur looking for as the question is unclear

1) AB=CD - given

2) BC = BC - reflexive

3) AB+BC=CD+BC- addition property of equality

4)AC= BD - substitution

what’s 40/44 in lowest terms

Answers

Answer:10/11

Step-by-step explanation:i think you mean in simpilest terms so here is that! hope this helped:)

Lily has
x
x nickels and
y
y dimes. She has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.

Answers

Answer:

Y would = 34

Step-by-step explanation:

that's what i got on edge and it was right

PLS help!!!! I am super confused and I have a test soon.

Answers

Question 2 - I think it’s the Alternate Interior Angles are Congruent (unsure)

Question 4 - Yes by AA (pretty confident)
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