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

Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $52 babysitting. How much money did he save?

Answers

52 divided by 13=4
4x9=36
He saved $36

Answer:

$36

Step-by-step explanation:

$13 babysitting, $9 saved.

$52 babysitting, $x saved.

Cross multiply

13/13x=468/13

Divide both sides by 13

x=$36

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Answers

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

Help meeeeeeeeeeeeee asapppp

Answers

A triangle is 180 degrees in total. So when you add 29 and 13, it’s 42. Then you do 180-42=138. The answer is 138 degrees!

Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30

Answers

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

What is a system of equations?

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

Learn more simultaneous equations at https://brainly.com/question/148035

#SPJ1

You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?

Answers

It will cost you $58 after the tax and tip!

Hope this helped!! :)

Write two expressions for the perimeter of the figure.

Answers

Answer:

(a) 5 + 7 + 6x + 8x + 6

(b) 18 + 14x

Step-by-step explanation:

YALL I RLLY DONT KNOW HOW I HAVE 13 OVERDUE ASSIGNMENTS BUT PLEASE HELPING ME JUST ON MATH would make my day....

Answers

Answer:

Should be second option: (-6.5,-3.5)

The actual coordinates are (-6.4,-3.6) but the points are rounded.

Step-by-step explanation:

Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).

(I've graphed and labeled them for you above btw⤴⤴⤴)

Hope this helps you :)

what is the slope of the line?




Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

For the equation y = -x +5, find y when x = -2

Answers

Answer:

y = 7

Step-by-step explanation:

y = -x + 5

when x = -2

y = - (-2) + 5

Double negative is positive

y = 2 + 5

y = 7

Answer:

y=7

Step-by-step explanation:

When x=-2,

y=-x+5

 =-(-2)+5

 =2+5

 =7

Who many can fill it ?

Answers

Answer:

6×3×4= 72 unit cubes

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

Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.

Will pick brainliest answer, thank you :)

Answers

Answer:

15) (1, 1) and (-1, 1)

16) (1, 2) and (-1, 2)

17 (1,1/2) and (-1, 1/2)

18) (1,1/4) and (-1, 1/4)

19) 16 is vertical stretch, 17 and 18 is vertical compressed

Step-by-step explanation:

for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1

so y is the "a" value in the equation  y=ax²

for qs 19

y=ax²

so if a>1 -- then vertical stretch

when 0<a<1 -- then vertical compressed

   

Complete #25 (MUST SHOW WORK)

Answers

a. 90-47= 43
b. 180-81= 99
c. 90-81=9
d. 180-47=133

(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.​

Answers

Given that (3^-2×4^-2)^-3 = 12^x

⇛ [(3×4)^-2]^-3 = 12^x

Since a^m × b^m = (ab)^m

⇛(12^-2)^-3 = 12^x

⇛ 12^(-2×-3) = 12^x

Since (a^m)^n = a^mn

⇛ 12^6= 12^x

⇛6 = x

Since the bases are equal then exponents must be equal

Therefore,x = 6

Additional comment:-

If the bases are equal then exponents must be equal.

also read similar questions:- will give brailiest will give brailiest Which expression models the given phrase? half of the product of x and 3. 3x/2 (3+x)/2 2(3x) 2(x+3) Simplify the followi...

https://brainly.com/question/11165918?referrer

PLEASE HELP MEEEEEEEE
no links allowed please)What is the value of the expression 17.36 ÷ 2.8?

5.2
6.2
7.2
8.2

Answers

Answer:

7.14

Step-by-step explanation:

in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answers

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

plsss helppp
can you pls do this?

Answers

568 and 836 hope that helps I don’t really know

Vernon lives in New Mexico and pays 5% in sales tax. He bought an air conditioner, and the amount he paid after sales tax was $1527.75. What was the cost of the air conditioner before sales tax was applied?

Answers

1264$ is the cost of the air conditioner before sales tax was applied.

At the football game, 3 hamburgers and 6 soft drinks cost $24, and 4 hamburgers and 3 soft drinks cost $22. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?

Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answers

Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=

16
and
b
=
26
.

Answers

Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

Would appreciate brainliest <3

divide 81 ft in the ratio 5 :4

Answers

Answer:

Rr = 51 : 68

Step-by-step explanation:

x - 7 < -20 inequalify

ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)​

Answers

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

Inequalify

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

Add [tex]\text7[/tex]to both sides

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

Answer

[tex] \sf \longmapsto \: x<−13[/tex]

if a pool is 20,000 gallons and when the hose is placed in the pool to start filling up there are already 5000 gallons in there. The pool is filling up at a 1250 gallons per hour rating. how long would it take to fill up?

Answers

Answer:

12 hours

Step-by-step explanation:

A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?

Answers

23/10 = 2.3 pages per minute.
23. 1
10 = x
23x = 10
X = 10/23 of a minute per page.

P = y² + 2z find the value of P if y = 3 and z = -4

Answers

Answer:

[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]

Answer:

P = 1

Step-by-step explanation:

P = [tex]y^{2}[/tex] + 2 (-4)

P= [tex]3^{2}[/tex] + -8

P = 9 + -8

P = 1

Hope this helps!

Math pls I need help

Answers

Answer:

24

Step-by-step explanation:

First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24

9 is multiplied by the cube of a number.

Answers

Answer:

81

Step-by-step explanation:

9×9=81

also known as 9²

your amazing and beautiful or handsome or whatever you are comfortable with!:D​

Answers

Answer:

1. C

2. E

3. D

4. A

5. B

Step-by-step explanation:

1. It shows that the number of students decrease.

2. It increases more than the breakfast (B)

3. It's on thin line representing the students and workers whom stayed in the cafeteria.

4. It increases showing the same amount of students that entered the other day.

5. The same

8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle

Answers

A: trapezoid. while trapezoids can have two right angles they are classified as having only one pair of parallel sides while the shape has two pairs

Given trapezoid​ WXYZ, what is​ XY?

Answers

Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?

Answers

126 because 20 X 6 and 6 x 1
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