[tex]1\frac{1}{9}*4\frac{1}{2}+(3\frac{1}{5}-\frac{1}{3} )[/tex]

Answers

Answer 1

Answer:

118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal

Step-by-step explanation:

Simplify the following:

(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3

Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:

9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3

9/9 + 1/9 = (9 + 1)/9:

(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3

9 + 1 = 10:

10/9 (4 + 1/2) + 3 + 1/5 - 1/3

Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:

10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3

2×4 = 8:

10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3

8/2 + 1/2 = (8 + 1)/2:

10/9 (8 + 1)/2 + 3 + 1/5 - 1/3

8 + 1 = 9:

10/9×9/2 + 3 + 1/5 - 1/3

10/9×9/2 = (10×9)/(9×2):

(10×9)/(9×2) + 3 + 1/5 - 1/3

(10×9)/(9×2) = 9/9×10/2 = 10/2:

10/2 + 3 + 1/5 - 1/3

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

5 + 3 + 1/5 - 1/3

Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:

(15×5)/15 + (15×3)/15 + 3/15 - 5/15

15×5 = 75:

75/15 + (15×3)/15 + 3/15 - 5/15

15×3 = 45:

75/15 + 45/15 + 3/15 - 5/15

75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:

(75 + 45 + 3 - 5)/15

| 1 |  

| 7 | 5

| 4 | 5

+ | | 3

1 | 2 | 3:

(123 - 5)/15

| | 1 | 13

| 1 | 2 | 3

- | | | 5

| 1 | 1 | 8:

Answer: 118/15

Answer 2

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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]

[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]

[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]

[tex]5 + ( \frac{43}{15} ) = \\ [/tex]

[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]

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Related Questions

Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy? Choose 1 answer:

Answers

Answer:

14 meters

Step-by-step explanation:

Each side of the square fence = 6 meters

Perimeter of the square fence = 4 × length

= 4 × 6

= 24 meters

They already have 10 meters of fencing

How many more meters of fencing should they buy?

= Total meters - available meters

= 24 meters - 10 meters

= 14 meters

is f(-2) positive or negative

Answers

Answer:

Depends on [tex]f(x)[/tex]

Step-by-step explanation:

Example:

if [tex]f(x) = |x|[/tex]

then [tex]f(-2) = 2[/tex]

if [tex]f(x) = x ^ 3[/tex]

then [tex]f(-2) = -8[/tex]

research: even & odd functions.

Answer:

negative

Step-by-step explanation:

because in number 2 got the little line in one side

I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?

Answers

Answer:

$17.48

Step-by-step explanation:

^^^^^^^^^^^^^

Graham graphs the following system of equations to determine its solution.

2x + 4y = 12
2x - y = 2

What is the correct solution?

Enter your answer by filling in the boxes.

(__,__)

ASAP plz

Answers

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

After solving the equation, the value of for the points x and y are (2, 2).

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

2x + 4y = 12   (i) and

2x - y = 2  (ii)

Solve the value for y,

5y = 10

y = 10/5

y = 2

Substitute y=2 in equation (i)

2x + 4(2) = 12

2x = 12 - 8

x = 4/2

x = 2

Therefore, the point is (2, 2).

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What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$

Answers

Answer:

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Step-by-step explanation:

Given

[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]

[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]

Required

Which of the options shows Distributive Property

Distributive property states that

For: [tex]a(b + c)[/tex]

The equivalent is: [tex]ab + ac[/tex]

In other words:

[tex]a(b + c) = ab + ac[/tex] ----- (1)

Having mentioned that;

Next, we compare the list of given options to (1) above

Option G matches (1).

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Hence, option G correctly demonstrates distributive property

8( y- 7) please answer this I will give brainliest

Answers

Answer: 8y − 56

Step-by-step explanation:

Multiply using the distributive property.

ANSWER: 8y-56

You have to use distributive property when answering this question. 8 goes into y so it turns into 8y and 8 is then multiplied into (-7). So it would be 8(-7) and that equals -56.

Therefore, your answer would be 8y-56

In case of an​ emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 people on the list calls another 4 people on the list.​ Then, each of the people in the second group calls another 4 people on the​ list, and so on. The 4th group of people will make 256 calls. Is this statement​ accurate? Explain.
Select the correct choice and fill in the answer boxes to complete your choice.
A.
Yes. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does equal 256.
B.
No. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does not equal 256.

Answers

Answer:

A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer

50,6291583.9741
What place value does 4 hold in the number above?

Answers

number 4 is in the thousanths place

what is the sales tax of 9.25% on a tv costing 234.25

Answers

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.

Answers

Answer:

I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.

Step-by-step explanation:

Like 32-34 I think.
..

I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball​ team, 5 players are​ sophomores, 11 are​ juniors, and 13 are seniors. The team selects 4 honorary​ co-captains by drawing names from a hat.​ What's the probability that all 4​ co-captains come from the same​ class?

Answers

Answer:

4 in 33

Step-by-step explanation:

all you do is add the amount of people and the propability number first

4 in 33

Giving brainless! I needa past math

Answers

Answer:

A

Step-by-step explanation:

Because firstly they loose (minus) and then they have to divide this loss by 9.

Answer:

A or C

Step-by-step explanation:

If they’re both wrong then my bad

X^2-x-12, please show your work so I can know how to do it. Thank you:))

Answers

you have to split the -x into 2 numbers that multiply to the same product as the two outside numbers so x^2+3x-4x-12
then split it and factor x(x+3)-4(x+3)
then you get (x-4)(x+3)


Find the value of X*
X=
X х
8
12

Answers

Answer:

12

Step-by-step explanation:

This is a proportion question.

8/x = 12/(12 + 6)

8/x = 12/18             Reduce the right hand side

8/x = 2/3                Cross multiply

2x = 8*3                 Combine the right side

2x = 24                  Divide by 2

x = 24/2

x = 12  


The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x

Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1

Perimeter of a rectangle = 2(length + breadth)

50 = 2(2x + 1 + x)

50 = 2(3x + 1)

50 = 6x + 2

6x = 50 - 2

6x = 48

x = 48/6

x= 8

Width = 8ft

Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft

Area = Length × Width = 17 × 8 = 136ft^2

Write in standard form the equation y - 9 = 1/3(x - 6).

Answers

Standard form: Ax + By = C
First make slope intercept
y = 1/3(x - 6) + 9
y = 1/3x - 2 + 9
y = 1/3x + 7
Now make standard form
Subtract 7 and y
1/3x - y = -7
Get rid of fraction
Multiply all by 3
Solution: x - 3y = -21

If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

They would walk 84 miles in one hour.

Step-by-step explanation:

14 x 6 (One hour) = 84 miles

Hope this helps ^^

Answer:

84

Step-by-step explanation:

because 1 hour equals 60 mins so 6 x 14

i dont under stand this

Answers

Answer:

13

Step-by-step explanation:

a^2 + b^2 = c^2

Plug 5 and 12 for a and b respectively. then solve

Also its a special  5 12 13 triangle.

PLS HELP ME PLS whats 2x6x8 (5/8)

Answers

Answer:

96 5/8?????

if its wrong i sorryyy

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

If you mean multiplying them all, then:

2x6x8=96

5/8=0.625

0.625x96=60

yay its 60

Help ill give brainlist

Answers

Answer:

x=2

Step-by-step explanation:

A bicycle has a listed price of $765.95 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax Included.

Answers

Answer:

The total cost is $ 589.06

Step-by-step explanation:

Answer:

$838.72

Step-by-step explanation:

$765.95 x 1.095 = $838.72

thianamccornell1 no one else

Answers

Answer:

Oh I see, that’s weird

Step-by-step explanation:

Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes

Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball? ​

Answers

Answer:

12

Step-by-step explanation3%36

PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!

Which equation models the trend line?

A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2

Answers

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the first paper Mrs. King's grades will be a boy's paper? *

Answers

Ok...let’s get started!
12 boys and 8 girls
That means that there are 20 kids!
12/20 is equal to 60%
There is a 60% chance that the first paper will be a boys
Please tell me if this is incorrect

196 divided by 3.5 show your work

Answers

The value of 196 ÷ 3.5 is 56

What is division?

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.

For example, if 50 apples are to be shared by 5 people , the number of apples allocated bto a person is 50/5 = 10 apples

196/3.5

to solve the we can multiply the numerator and denominator by 10 to make all whole number

= 1960/35

we can now simplify

divide through by 5

392/7

divide through by 7

= 56

therefore the value of 196/3.5 is 56

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Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?

-4/5
1/5
5/4
5

Please answer FAST!!!

Answers

Answer:

5/4

Step-by-step explanation:

45 × ? = 10

Answer:

5/4

Step-by-step explanation:

What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?​

Answers

Answer:

y=-4/3x-3

Step-by-step explanation:

The equation of the line that passes through the given point will be equal to (-4/3)x - 3.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

The given equation is,

4x + 3y = 15

And the point is (-3, 1)

3y = 15 - 4x

y = (-4/3)x + 15

The line has a slope, of -4/3.

Then, use the equation,

B = y - mx

B = 1 - (-4/3 × 3)

B = -3

So,

y = (-4/3)x - 3

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Alan wants 42 pieces of sweet potato pie for his thanksgiving family dinner. Each pie has 8 slices. How many pies does he need to buy?

Answers

Step-by-step explanation:

6 pies. Your buy 5 pies and have 40 slices. So then you buy 1 more pie

✨✨Hope it helps✨✨

✨Brainliest?✨

Determine the measure of the unknown angle in the triangle.

Answers

you add 78 plus 37 then subtract from 180

Answer:

65°

Step-by-step explanation:

Let the unknown angle be ∠ABC

∠ABC + 78° + 37° = 180° (angle sum property of a triangle)

∠ABC + 115° = 180°

∠ABC = 180° - 115°

∠ABC = 65°

∴the unknown angle in the triangle is 65°

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