find 3 1/6 + (-4 1/3).

Answers

Answer 1

Answer:

-1 1/6

Step-by-step explanation:

[tex]3\frac{1}{6} + (-4\frac{1}{3} )[/tex]

Convert the mixed numbers into improper fractions

[tex]\frac{19}{6} + (-\frac{13}{3} )[/tex]

Apply the rule: a + (-b) = a - b

[tex]\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}[/tex]

The Least Common Multiplier of 6 and 3 is 6

Adjust the fractions on the LCM

[tex]\frac{19}{6} - \frac{26}{3}[/tex]

Apply the Fraction Rule: [tex]\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}[/tex]

[tex]\frac{19 - 26}{6}[/tex]

Subtract the numbers

[tex]\frac{-7}{6}[/tex]

Apply the Fraction Rule: [tex]\frac{-a}{b} = - \frac{a}{b}[/tex]

[tex]-\frac{7}{6}[/tex]

Convert improper fraction into a mixed number

[tex]-1\frac{1}{6}[/tex]

Hope this Helps :)


Related Questions

identify an equation in point-slope form for the line perpendicular to y = 2x + 8 that passes through (-3,9)​

Answers

Answer:

y - 9 = m(x + 3)

Step-by-step explanation:

Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m:  -1/m

Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2.  This is the slope of the desired perpendicular line.

We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:

y - 9 = m(x + 3)

A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answers

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

y = dependent variable

x = independent variable

k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

Read more:

https://brainly.com/question/19012756

3g + 4y - 8 + 2t + 5

Answers

Answer: 3g + 4y - 13 + 2t

Step-by-step explanation:

[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]

The principal is equally distributing 6
4
5
cakes on 2 tables for a school party. How many cakes are on each table?

Answers

645/2=322.5 cakes on each table

hope this helps!

Help please just this whoever answers correctly I will mark brainliest

3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.

B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.​

Answers

Answer:

10: (10×0.15)+3.50:$5

15: (15×0.15)+3.50:$5.75

20:(20×0.15)+3.50: $6.50

25:(25×0.15)+3.50: $7.25

Answer:

10 days: $5 fee

15 days: $5.75 fee

20 days: $6.5 fee

25 days: $7.25 fee

Step-by-step explanation:

General Formula

Total fee = 3.5 + days late x 0.15

------

Total fee for 10 days = 3.5 + 10*0.15 = 5

Total fee for 15 days = 3.5 + 15 * 0.15 = 5.75

Total fee for 20 days = 3.5 + 20 * 0.15 = 6.5

coordinates for the answers:

Since days is the x axis and y axis is the fee then

(10, 5)

(15, 5.75)

(20, 6.5)

(25, 7.25)

How do I simplify -4(3x + 2y) + 6( -2x - 5y)???

Answers

Answer:

-24x - 38y

Step-by-step explanation:

[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]

Answer:

Step-by-step explanation:

4(3x+2y)+6(−2x−5y)

Use the distributive property to multiply −4 by 3x+2y.

−12x−8y+6(−2x−5y)

Use the distributive property to multiply 6 by −2x−5y.

−12x−8y−12x−30y

Combine −12x and −12x to get −24x

−24x−8y−30y

Combine −8y and −30y to get −38y.

and you get −24x−38y

hope it helps

2. Kendall skated around the park 15 times in 25 minutes. If Kendall continues to skate at the same speed, how many times will he skate around the park in 48 minutes?​

Answers

Answer:

28.8 rounds.

Step-by-step explanation:

Solve this using ratio

---------

15 rounds / 25 minutes

---------

Find out how many rounds per minutes: 25/15

1 round / (5/3) minutes

--------------

48 divided by (5/3) to get rounds now.

---> (48*3)/5 ---> 144/5 ---> 28.8

-----------------

28.8 rounds. So she only completed 28 full rounds as she didn't manage to complete 29 just yet.




1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters

Answers

Answer:

The answer would be 26

Step-by-step explanation:

First I divided the shape to make a rectangle and a right  angle triangle, then i calculated the shape of the rectangle which came out to be 20. After that I calculated the area of the right angle triangle which is 6. So The answer would be 6 + 20 = 26

Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
A. $0.25
B. $0.50
C. $1.75
D. $0.75

Answers

Step-by-step explanation:

when we buy something, we have to give money away from the amount we possess.

so,

12 - 7.5 - 3.75 = $0.75

so, he is left with the change of $0.75 after these two purchases.

Which property does Aiden use for his first step?

Answers

Answer:

distributive property of multiplication!

please mark me as brainliest!!!

Janet raised $90 of her $60 goal. What percent of her original goal did Janet raise?

Answers

Answer:

50% of Her Original goal

Step-by-step explanation:

I got the answer of 66 percent not sure if it’s correct tho

solve pls brainliest

Answers

Answer:

b

Step-by-step explanation:

I Think B is the right answer

True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.

Answers

We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/25368922

Circle A has been enlarged to create circleA prime . The picture below shows the diameters of both circles.


Based on the information in the picture, what scale factor was used to create circle A prime ?

Answers

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

Round the answer to the nearest cent.
5 1/2% tax on $20 is $

Answers

Answer:

goodmorning b

Step-by-step explanation:


Classify the polynomial: x5 + x3

Answers

Answer:

It is a 5th-degree polynomial

Step-by-step explanation:

Looking at the expression, we can see that x⁵ is the term with the highest degree, so we call the expression a 5th-degree polynomial.

which best describes the relationship between the 125 angle and angle a

Answers

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

-5/3 + 2 1/3
please help me

Answers

Answer:

Well you can convert the mixed fraction into an improper one

-5/3 + 7/3

Which is really -5 + 7 and you’d get 2

so 2/3

The answer: 2/3

I hope this helped have a good rest of ur day!

What is (-2) power 35?

Answers

Answer: − 34359738368

2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3

Answers

Answer:

the question is not clear

Step-by-step explanation:

wdym by this 2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3

parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

Answers

Answer:

y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is

y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form

What is the time difference between usa and england?

Answers

Answer:

-5 hours

Step-by-step explanation:

A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.

Answers

Answer:

9.35

Step-by-step explanation:

because you take 3.5 away from 12.85

Answer:

9.35

Step-by-step explanation:

SAME EXPLANATION PO

i think of a number times it by 2 and minus 2 my answer is nine

Answers

Answer:

5.5

Step-by-step explanation:

5.5 times 2 equals 11 minus 2 equals 9

5.5

Step-by-step explanation:

What is 2 hundredths in standard form in fifth grade

Answers

0.02

0._ is tenths and

0.0_ is hundredths

Answer:

Step-by-step explanation:

5th Grade Math 1.2, Place Value of Whole Numbers, Standard Form ... this is the name of the  video. I hope it helps.

A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup

Answers

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination

Answers

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Express 8.4km/min in km/hr

Please answer quickly i have exam tomorrow!!!

Answers

Answer:

540km/hr

Step-by-step explanation:

8.4km/min×60min/km

=8.4/60

=540km/hr

Find the value of z.
7
Х
3
Z
Z =✓[?

Answers

Applying the leg rule, the value of z in the right triangle given is: √30 units.

What is the Leg Rule?

The leg rule states that, hypotenuse/leg = leg/part.

Given the following:

Leg = z unitsPart = 3 unitsHypotenuse = 3 + 7 = 10 units

Plug in the values into the leg rule:

10/z = z/3

z² = (10)(3)

z² = 30

z = √30 units

Learn more about the leg rule on:

https://brainly.com/question/25016594

#SPJ1

HELPMEPLZZ.

Figure ABCD is transformed to obtain figure A'B'CD Part A Write the sequence of transformations that changes figure ABCD to figure A'B'C'D' Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer (4 points)​

Answers

Answer: yes because they both go to the 0 and has the same shape.

Step-by-step explanation: yes

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