What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. a \large -4\frac{1}{4} b \large -\frac{3}{4} c -4 d \large -\frac{1}{2}

Answers

Answer 1

Answer:

B)[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

We are supposed to find the difference of the fractions

a) [tex]-2\frac{1}{2}-(-1\frac{3}{4})[/tex]

[tex]=\frac{-5}{2}+\frac{7}{4}[/tex]

Using equivalent fraction

[tex]-\frac{5}{2} \times \frac{2}{2} = \frac{-10}{4}\\\Rightarrow \frac{-10}{4}+\frac{7}{4}[/tex]

Plot both fractions on number lines

So Using number line

[tex]\frac{-10}{4}+\frac{7}{4}=\frac{-5}{2}+\frac{7}{4}=\frac{-3}{4}[/tex]

So, Option B is true


Related Questions

Are the triangles PQR and RST similar why or why not?

Answers

Answer: The triangles are similar

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

Explanation:

The square markers show that

angle RPQ = angle RST = 90 degrees

So that's one pair of congruent angles. Another pair of congruent angles is what you see in the diagram below. The angles marked in red are congruent alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Since we have two pairs of congruent angles, we can use the AA (angle angle) similarity theorem to prove the triangles congruent.

Answer:

Triangle PQR and RST are both right triangles but they do not share the same  side lengths. They also share the same point R, so I would say that they are similar only because they are both right triangles.

Step-by-step explanation:

I need some help with this problem​

Answers

First blank 25.99 meters
Second blank 5.9 meters left
Third blank 50 meters

If f(x)=−6x+4, Find f(x)=46

Answers

Answer:

Step-by-step explanation:

-6x + 4 = 46

-6x = 42

x = -7

Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .

Answers

Answer:

The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.

Step-by-step explanation:

Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:

[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.

By direct comparison, we get the following coincidences:

[tex]h = 0[/tex]

[tex]k = 0[/tex]

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

From (Eq. 2) we get that distance between focus and vertex is:

[tex]p = -1[/tex]

Which is consistent with the fact parabola has an absolute maximum.

Now, the location of the focus is:

[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)

If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:

[tex]F(x, y) = (0-1, 0)[/tex]

[tex]F(x,y) = (-1,0)[/tex]

And the equation of the directrix is represented by:

[tex]x = -p[/tex] (Eq. 4)

([tex]p = -1[/tex])

[tex]x = 1[/tex]

The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.

Answer:

The general formula for this parabola is y2 = 4px.

Therefore, the value of p is  

✔ –1

.

The coordinates of the focus are  

✔ (–1,0)

.

The equation of the directrix is  

✔ x = 1

.

Step-by-step explanation:

m BXA = 30° 20', m CXB = 40° 35'
m CXA
°
'

Answers

Answer:

Please make me brain list

Step-by-step explanation:

Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10%
sales tax. How much will she pay altogether? Answer the questions to find out. 3.How much is the 10% tax on the sale price? Explain how you found your answer.​

Answers

Answer:

13.20$ :)

Step-by-step explanation:

40% off of 20$ is 12$ and 10% of 12$ is 1.20$ add that and you get 13.20$

Lauren earned $84 in 8 hours
today. If she works the same
hourly rate, how much money
would Lauren make if she
works 10 hours tomorrow?

Answers

Answer:

105

Step-by-step explanation:

You need to find the unit rate which is 10.50$. Then you would multiply it by 10.

I need answers in 10 minutes, the red ones are for the numbers with no denominator

Answers

Answer:

1) .5   2) 1.25

Step-by-step explanation:

lol i don't have time to get the rest but I hope this helps a bit. just remember that you're trying to isolate the variable and find its value. What you do to one side of the equation, do it on the other side of the equal sign

Can somebody help me on 14?

Answers

It isn’t them going up or down a hill. It is the speed changing

Answer:

It is the speed changing

Step-by-step explanation:

becauses it is speed vs time

Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),

Answers

you would need to put 4 in for (n)so, 5(4)+8 then solve. 5 times 4=20 plus 8 is 28. I hope I could help!

The value of the function f(n)=5n+8 for f(4) will be 28.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

To know more about functions follow

https://brainly.com/question/17043948

#SPJ2

Directions: Find each missing measure. please help me find T and U

Answers

Answer:

m∠U = 54°

m∠T = 72°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:

m∠S = m∠U

m∠S = 54°

m∠U = 54°

All angles in a triangle add up to 180°:

m∠S + m∠U + m∠T = 180°

54° + 54° + m∠T = 180°

108° + m∠T = 180°

m∠T = 72°

Giovanni went to Los Angeles, California, for the summer to visit his cousins. He used a map of bus routes to get from the airport to his cousin’s house. The distance from the airport to his cousin’s house is 56 km. On his map, the distance is 4 cm. What is the scale factor?

Answers

I’m pretty sure it’s 14 km. Hope I helped :) Since I did 56 divided by 4 since it will be one cm is 14 km.


[tex] \frac{100}{1000} = {10}^{x} [/tex]

Answers

Exact Form:
X=1/100

Decimal form:
X=0.01

URGENT: WILL MARK BRAINLIEST

Answers

Answer:wait 15 min then I will have thee answer

Step-by-step explanation:

A soccer team practices 3 times a week. Each practice lasts for 110 minutes. The team practiced for 14 weeks during the season.

Answers

Answer:

i just answerd this on a nother queston from u go look at that

Step-by-step explanation:

-38=-6x +4(x-7) simply the answer

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

miles he runs.
months he runs.
miles he ran the first day.
calories he burns

Answers

Answer:

b) months he runs

Step-by-step explanation:

on edge 2020 || pls mark brainliest the other guy is wrong dont listen to them!!

Answer:

B) Months he runs

Step-by-step explanation:

100% on edge 2021 :)

Hope This Helped!

Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1).

Answers

Answer:y=-1/4x+5/4

Step-by-step explanation:

Perpendicular means the slope has to be the negative reciprocal.

Since the slope is currently 4, the perpendicular slope is -1/4.

It also has to pass through the point 1,1 , so you just plug x in which will be

1*-1/4=-1/4. from 1 to -1/4, its 5/4, so that's your b in y = mx+b

The equation will then be y=-1/4x+5/4

solve for z
-cz+6z=tz+83

Answers

Answer:

the answer to your equation is Z=0(with a slash on the = sign)

Step-by-step explanation:

-cz+6z-6z=tz+83-6z

-cz=tz+83-6z

Divide both side by -z

simplify and you get Z=0

z= –83/c-6+t
explanation: move all terms to the left side and set equal to zero. then set each factor equal to zero.

HELP ME PLS IT"S DUE TODAY. JUST GIVE ME THE ACTUAL ANSWER IF YOU KNOW IT PLUS ILL GIVE YOU 5 STARS!!!!

Answers

Answer:

the answer is we dont know cuz theres no question

ok then it should be the bag wit 8lb

Answer:

Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).

Solve for x.

x+2/3=−1/6

Please help I'll give brainliest

Answers

Answer:

The answer is

x=-5/6

ABC is a straight line. which equation can be used to find the measure of the unknown angel?

Answers

Answer:

A: 180 -45

Step-by-step explanation:

Since it is a straight angle, it will equal 180 degrees. Since 45 is already taken, u would subtract it from 180.

180-45=135

thus, your answer is 180-45

hope I helped!!!

help plsss .....!!!!

Answers

Answer:

p=-7

Step-by-step explanation:

30+6p=7(p+6)-5

30+6p=7p+42-5

30+6p=7p+37

6p-7p=37-30

-1p=7

p=-7

What is the equation of this line

Answers

Answer:

y = 1/2x - 3

Step-by-step explanation:

Slope: Up 1 over 2

Y-Int: -3

y=mx+b

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of negative 35.84 degrees Upper C and a boiling point of 310.69 degrees Upper C . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid​ state? (Hint: Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis ​) Express the range as an inequality. Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid​ state? nothing ​(Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as​ needed.)

Answers

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

Answer?!?????????????

Answers

Answer:

A i think

Step-by-step explanation:

Answer:

its   c i hope i helped-shelby

Step-by-step explanation:

please help me with this

Answers

D- 42

It needs to equal 180, and 180-138 is 42

Answer:

The answer is D: 42

Step-by-step explanation:

Angle 7 and angle 138 are supplementary and must add up to 180

Angle 7 is congruent to angle 6 through CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Angle 7 and 6 are corresponding angles

you must find angle 7 becasue Angle 7= Angle 6

angle 7=x

138-x=180

solve for equation you get

x=42

Angle 7 = 42

so that means that Angle 6 is 42

Idk how to do this?!!

Answers

Answer:

no idea you're welcome

is 13/3 rational or irrational and why?

Answers

Answer:

The decimal form of 13/3 is a rational number. and decimals are rational

A specialty shop procures several hats for $5 apiece and offers them to customers for $11
each. What is the mark-up percentage?
Write your answer using a percent sign (%).

Answers

120%

$5 markup is 100%
$1 markup is 20%

So.....120%
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