Solve.−4 2/5=x−1 1/4What is the solution to the equation?Enter your answer as a simplified mixed number in the box.x =

Answers

Answer 1

Answer:

[tex]\boxed{\sf x=-3\frac{3}{20}}[/tex]

Step-by-step explanation:

[tex]\sf -4\cfrac{2}{5}=x-1\cfrac{1}{4}[/tex]

Multiply Both sides by 20, Which is the LCM of 5, 4:

[tex]\mapsto \sf (4\times 5+2)=20x-5(4+1)[/tex]

Multiply 4 and 5= 20, and add 20 +2 =22

[tex]\mapsto \sf -4\times 22=20x-5(4+1)[/tex]

Multiply -4 * 22 = -88, and then add 4+1=5:

[tex]\mapsto \sf -88=20x-5\times 5[/tex]

Multiply -5 *5 = -25:

[tex]\mapsto \sf -88=20x-25[/tex]

Now, swap sides:

[tex]\mapsto \sf 20x-25=-88[/tex]

Add 25 to both sides:

[tex]\mapsto \sf 20x=-88+25[/tex]

[tex]\mapsto \sf 20x=-63[/tex]

Divide both sides by 20:

[tex]\mapsto \sf x=\cfrac{-63}{20}[/tex]

Now, convert an improper fraction to a mixed number: →

[tex]\mapsto \sf x= -3\cfrac{3}{20}[/tex]

_____________________________________


Related Questions

Type of shirt on the clearance rack (long-sleeved with collar, long-sleeved without collar, short-sleeved with collar, or short-sleeved without collar)

Answers


hey there, personally I would choose a short sleeve shirt without a collar bye

The correct categorization for each variable:

(a) Type of shirt on the clearance rack:

Type of variable: CategoricalLevel of measurement: Nominal

(b) End-of-year stock classification:

Type of variable: CategoricalLevel of measurement: Ordinal

(c) Amount of coffee in a cup:

Type of variable: QuantitativeLevel of measurement: Ratio

What is the categorization

Categorization is the process of classifying or grouping items, data, or concepts into specific categories or classes based on their shared characteristics or attributes

This variable shows different types of shirts (long sleeves with a collar, long sleeves without a collar, short sleeves with a collar, or short sleeves without a collar).

The nominal level of measurement is the basic level where data is placed into separate groups without any particular order or ranking.

Read more about categorization  here:

https://brainly.com/question/29977525

#SPJ3

See full text below

For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible.

Variable

Type of variable

Level of measurement

(a) Type of shirt on the clearance rack (long-sleeved with collar, long-sleeved without collar, short-sleeved with collar, or short-sleeved without collar)

Quantitative

Nominal

Ordinal

Categorical

Interval

Ratio

(b) End-of-year stock classification (high yield, medium yield, or low yield)

Quantitative

Nominal

Ordinal

Categorical

Interval

Ratio

(c) Amount (in fluid ounces) of coffee in a cup dispensed by a vending machine

Quantitative

Nominal

Ordinal

Categorical

Interval

Ratio

!!!!HELP!!!! WILL MARK BRAINLYEST
The table contains the points of an absolute value function. Compare it to the function f(x)=−2|x−7|−4 .

x g(x)
1 −2
2 −1
3 −2
4 −3
Which function has the largest maximum and what is the value of the largest maximum?


A. The function g(x) has the largest maximum which is −1 .

B. The function g(x) has the largest maximum which is −4 .

C. The function f(x) has the largest maximum which is −4 .

D. The function f(x) has the largest maximum which is −1 .

Answers

Sister I have no idea sister sister

please help!! i am super confused

Answers

Answer:

The train appears to go the same distance each minute

9mins

The cost for each person appears to be the same

Step-by-step explanation:

So for the first qu you basically want to find  the distance the train travels each minute, so for

3mins : 9km

therefore

1min : 3km

basically divide 9 by 3

then the train travels 27km, how long does it take?

if 3km = 1min

then 27/3 = 9

so it takes the train 9 minutes

Then for the second qu you'll do the same thing

2ppl : $16

so one person : 16/2

so 1 person costs $8

so for 8 ppl you multiply 8 by 10

8ppl : $80

hope this helps:))))

Max's pet worm lives in a cardboard box that has a volume of 808080 cubic centimeters.

Answers

Answer:

wow that's one lucky worm

Step-by-step explanation:

4.what equation passes through the 2 points
(2, 1) and (6, 9) ​

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

Finding the slope:

[tex]\frac{y2-y1}{x2-x1}[/tex]

= (9-1)/(6-2)

= 8/4

= 2

Slope: 2

Substituting this value into the equation 'y=mx+c':

y = 2x + c

Substituting any points (in this case, (2,1)) into the above equation:

1 = 2(2) + c

1 = 4 + c

c = 1 - 4

c = -3

Hence,

y = 2x - 3

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

y=2x-3

Step-by-step explanation:

first put in the equation:

[tex]\frac{9-1}{6-2}[/tex] and you get 8/4 which equals 2. so this is your slop.

now put in this equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

so you put in (2-1)

[tex]y-1=2(x-2)[/tex]

and you get

y-1=2x-4

and if u add 1 to both sides you get y=2x-3

yw

I need help plz in opt math..plzz​

Answers

Answer:

the value of y=2

here ,

(2x-1,3y-2)=(x+2,2y)

then,

3y-2=2y{corresponding elements}

3y-2y=2

or, y=2

hence the value of y=2

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Value of the given terms are :

x = 3

y = 2

Solution is in attachment ~

The sqrt of 3 a rational number

Answers

Answer:

No, it is an irrational number.

Step-by-step explanation:

I hope this helped! **please mark me brainliest :)

how many cubes with side length of 1/3cm does it take to fill the prism l=2 w=4/3 h=2

Answers

Given :-

Dimensions of cube = 1/3 cm *1/3cm *1/3cm.Dimensions of cuboidal prism = 2cm*4/3cm *2cm .

To Find :-

The number of cubes that can be filled.

Answer :-

The number of cubes will be say ' n ' ,

n = Volume of cuboid / Volume of cube n = 2cm*4/3cm *2cm ÷ 1/3 cm *1/3cm *1/3cmn = 2² * 4 * 3³ / 3 n = 16 * 9n = 144

Hence the number of cubes is 144.

-2 of what equals to -6

Answers

Answer:

12

Step-by-step explanation:

of what means a division or a distribution

so this could mean percentage, a unit or just a number

to find a distributor we multiply and this should be the given equals number -6

Therefore we can find answer with applying multiply sign to get

-2 x - 6 = 12

As -12 / -2 means -2 of  12 = -6  

HELPP PLSS I'LL MARK YOU BRAINLISTT!!!!

Answers

Answer:

76

Step-by-step explanation:

Answer:

67 days

Step-by-step explanation:

700 pages. first day read 40 pages so 700-40=660 pages. then she read everyday 10 pages that means 660/10=66+firstday=67 is the answer.

3 2. Write the equation of a line that includes the point (-4, 0) and has a slope of 5 in slope-intercept form- 12 3 y=-=X-2 5 5 3 Y= -=X - 12 O 3 y=-=X-5 12 y=-=X+​

Answers

Answer:

y= 5x+20

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and a point on the line is (-4,0)

Substituting this information into the equation, we can solve for b

0 = 5(-4) +b

0 = -20+b

Add 20 to each side

0+20 = -20+20+b

20 = b

y = 5x+20

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the y - intercept (c) of the line, by Plugging the value of x and y from coordinates of the given point (-4 , 0) and slope (m) = 5 :

[tex]y = mx + c[/tex]

[tex]0 = (5 \times (- 4)) + c[/tex]

[tex]0 = - 20 + c[/tex]

[tex]c = 20[/tex]

now, let's plug the value of slope (m) and y - intercept (c) in general equation of line to find the equation of line will have been asked for.

[tex]y = mx + c[/tex]

[tex]y = 5x + 20[/tex]

Anne's room is 6 4/5 meters long and 1 3/8 meters wide. What is the perimeter of the room?

What are the operations to be used to solve the given problem?

A. Addition and Subtraction
B. Multiplication and Subtraction
C. Multiplication and Addition
D. Division and Multiplication

What is the perimeter of the room?

A. 9 7/20
B. 12 7/20
C. 16 7/20
D. 18 7/20

Answers

Answer:

C) Multiplication and Addition

C) 16 7/20

Step-by-step explanation:

The perimeter can be found by the formula:

Let P = perimeter,

P = 2 x (Length + Width)

P = 2 x (6 4/5 + 1 3/8)

P = 2 x (8 7/40)

P = 16 7/20 meters  

We used multiplication and addition. Hope this helps!

Which ones are functions?

Answers

Answer:

1 and 4

Step-by-step explanation:

All the other options have corresponding x-values

Answer:

The first and fourth options

Step-by-step explanation:

If it's a function no input and have more than one output.

Input the number of days in a month

Answers

30 days

Give me 5 if it helps

Answer:

The average number is 30.437

Step-by-step explanation:

please help i can’t fail this text

Answers

Answer:

the answer is c

good luck on your test

please help this is trigonometry

Answers

I think you take the total degree of the triangle subtract the degrees you have already from the total degree and that should give you your answer

10+10 what is the answer

Answers

Answer:

10+10= 20

Step-by-step explanation:

Answer:

20 :)

Step-by-step explanation:

I need help!! I'm not good at science

Answers

Answer:

kk

l will help

we will all learn

together

what is y=5x
y=-x-6 using substition?

Answers

Answer:

3

Step-by-step explanation:

stan loona SLAY BOMB yass bomb stan loona

Answers

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helpp me i dont know the answer​

Answers

Answer: k = -1

2m = -6 that means m = -3
You can tell by dividing -6 by 2 to get -3

Now we know m = -3 let’s put that in the equation

3(-3) - 4k = -5

-9 - 4k = -5

Just try the option you have to figure it out. You know it’s not -3.5 or 3.5 because it’s a whole number so it wouldn’t be anything that’s a decimal.

-9 - 4(1) = ?

-9 - 4 = 13

Now let’s try doing -1

-9 - 4(-1) = ?

-9 - -4 = -5

What is the equation for the Pythagorean Theorem?

Answers

The equation for the Pythagorean Theorem is a^2 + b^2 = c^2

^ = exponent

Since I am willing to take some time from my day to answer your questions, please mark brainiest :))

1. If Sarah drinks 2 litres a day, how much will she drink in a week? And a month?​

Answers

Answer:

week = 7 days

7 × 2l = 14 liters in week

months = 30 days

30 x 2l = 60 liters in month

Answer:

She will drink 14 litres in a week.

If the month has 28 days,

56 litres

If the month has 30 days,

60 litres

If the month has 31 days,

62 litres

Step-by-step explanation:

Pls mark as brainliest

Point Fis on line segment EG. EG = 100, EF = 4x - 20, and FG = 2x + 30. Write an equation that you would use to solve for x, then state the value of x, and the length
of line segments EF and FG.

Answers

Step-by-step explanation:

Line segment = EG

point on a line segment = F

EG = 100

EF = 4x - 20

FG = 2x + 30

a/q, EF + FG = EG

the equation is

4x - 20 + 2x + 30 = 100

now solution for x is

4x - 20 + 2x + 30 = 100

6x + 10 = 100

6x = 100 - 10 = 90

x = 90/6 = 15

therefore, value of x is 15.

and according to given information

EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40

FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60

hope this answer helps you dear..take care and may u have a great day ahead!

if f(9) = -14, then what will be the value of f^-1(-14)

Answers

Answer:

9

Step-by-step explanation:

Since f and f⁻¹ are inverse functions, the domain of the one equals to the range of the other:

f(9) = -14  ⇒ f⁻¹(-14) = 9

expand the following numbers 349056​

Answers

Answer:

easyy

Step-by-step explanation:

It's B

Solve the system by graphing.
1-3x - y = -10
[4x – 4y = 8


Answers

change the first to

3x + y = 10

and the second to

x - y = 2

2x + 4y + z = 2
-2y - 3z = -8
x - z = -1

Answers

Answer:

{3;-2;4}

Step-by-step explanation:

all the details are in the attachment, note, the suggested way of solution is not the only one.

Stephanie's phone bill is $70 each month. Her
phone costs her an additional $25.99 per
month. If her phone bill in September was $119,
how much was she charged for taxes and fees?

Answers

$23.01 is the answer … enjoy

What is the title of this picture?​

Answers

Answer:

Snake who just put on a pair of socks.

Step-by-step explanation:

It looks like you're just missing two letters, p and s.

I hope this helped :)

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