Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?

(please put you solution)

Answers

Answer 1

Answer:

4 19/36

Step-by-step explanation:

we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.

 =>     10 2/9 + 5 1/4

          As   a c/d    is     a + c/d,

          10 2/9 + 5 1/4 can also be written as  10+5+2/9+1/4

     

           now  we have to simplify it

 =>      10+5 = 15  

 =>      2/9 =  (2*4)/9*4)  =  8/36,    1/4  =  (1*9)/(4*9)  =  9/36

           now we have the same denominators

           add,

           8/36 + 9/36  =  (8+9)/36    =      17/36

 

 =>      now we know that 10 2/9 +  5 1/4  is  15 17/36 (  which is 15 + 17/36)

           

 =>      next step is to convert 15 17/36 into an improper fraction

           15 17/36  =     [(15*36)+17]/36     =     [540+17]/36    =   557/36

           

 =>       now we just have to subtract  557/26 from 20

            20 -  557/36  =   [(20*36)-557]/36   =    [720-557]/36   =    163/36

         

 =>   we can convert 163/36 into a mixed fraction if we want to  

        163/36 converted into mixed fraction is 4 19/36

        hope this helps :)


Related Questions

i don't know exactly what to do

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Answer:

Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...

25(-7)= ?
what type of equation is this?? division, multiplication, addition, or subtraction??

Answers

Answer:

multiplication

Step-by-step explanation:

the () means to multipy

I need help solving this

Answers

Answer:

50° and 40°

Step-by-step explanation:

complementary angles sum to 90°

80% = [tex]\frac{80}{100}[/tex] = 0.8

let the 2 angles be x and 0.8x , then

x + 0.8x = 90

1.8x = 90 ( divide both sides by 1.8 )

x = 50

0.8x = 0.8 × 50 = 40

the 2 angles are 50° and 40°

FIND B ONLY
WILL GET BRAINLIEST ​

Answers

Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

565.948063818 to 1 decimal place.

Answers

Answer:

565.9.

Step-by-step explanation:

The second decimal place is 4 so the first one stays at 9.

If the radius of a clock is 5 inches, what is the distance around the edge of the clock between the two and the five to the nearest hundredth of an inch

plssss help
thank you

Answers

Answer:

7.85 inches

Step-by-step explanation:

It mentions distance around the edge of the clock, which is basically another term used for arc length.

Arc Length Formula :

Arc Length = 2πr × θ/360°

Values given :

Radius (r) = 5 inches

Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°

Solving :

Arc Length = 2 x 3.14 x 5 x 90/360

Arc Length = 15.7 x 0.5

Arc Length = 7.85 inches

Is the vertex of the graph a maximum or a minimum?

Answers

Answer:

maximum

Step-by-step explanation:

the vertex will give the maximum value for y, which is 3

You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer

Answers

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

HALPPPP its a drop-down

Answers

Answer:

Wider than4 units down

Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the length of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11

Answers

The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)

What is a line segment?

In Mathematics, a Line Segment is a part of a line that has two endpoints.

The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.

What is the Step by Step solution to the above problem?

Step 1

Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.

That is: RV/VS = RT/TQ.

Step 2 - replace the segments by the relevant equations

(X + 4)/(X- 3) = (X+10)/(X)

Step 3 - Cross Multiply

 x(x +4) = (x -3)(x +10)

Removing the parentheses, we have

 X² +4X = X² +7X -30; Subtract X² from both sides and we have;

4X = 7X - 30

Step 3 - Collect like terms by cross multiplying

-3X = -30 or

3X = 30

Divide both sides by three and we have:

X = 10

Learn  more about line segments at;
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Answer:

10 is the answer

please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)

What is the average rate of change?

Answers

Answer:

-3

Step-by-step explanation:

Formula for average rate of change :

A(x) = f(a) - f(b) / a - b

Solving :

A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3

arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909​

Answers

Answer:

0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09

Step-by-step explanation:

Here they are from least to greatest. Hope this helps. :)

Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12

Answers

I have no clue I need more details to is won’t make any sense

A box has a width of 5 centimeters and a height of 6 centimeters. If the volume is 150 cubic centimeters, what is the length of the box?

A) 5 centimeters

B) 4 centimeters

C) 7 centimeters

D) 3 centimeters

Answers

Answer: A. 5

Step-by-step explanation:

Answer:

A)  5 cm.

Step-by-step explanation:

Volume = length * width * height

150 = length * 5 * 6

Length = 150 / (5*6)

= 150/30

= 5.


Let's find 3/4+1/10
First write the addition with a common denominator.
Then add. 3/4+1/10=?/?+?/?=?/?

Answers

Answer:

[tex]\frac{34}{40}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}+\frac{1}{10}[/tex]

=[tex]\frac{30}{40}+\frac{4}{40}[/tex]

=[tex]\frac{34}{40}[/tex]

You start at (3, -2). You move up 5 units. Where do you end?

Answers

Answer:

You would end at (3, 3).

Explanation:

You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).

Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.

Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).

Answer: (3,3)
Explanation: you would end up at (3, 3) because you are originally given (3, 2) and the order goes (x, y). x is the placement on the horizontal line when y is the placement on the vertical line. So since you are starting at 3 to the right and 2 below zero you would move up 5 and get to (3, 3). :)

Find the surface area of the figure?

Answers

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

find two numbers who's difference is 10 and 1/6 of whose sum is 11

Answers

Answer:

38 and 28

Step-by-step explanation:

let the 2 numbers be a and b

(a - b)= 10.................................................1

1/6(a + b) = 11

hence (a + b) = 66...................................2

adding 1 and 2

a -b + a + b = 10 + 66

2a=76

a = 38

b=28

Find the area of the green triangle

Answers

Answer:

if im correct the answer is 48 ft2

Step-by-step explanation:

Answer:

[tex]16ft \: ^{2} [/tex]

Step-by-step explanation:

To find the area of the given triangle we'll use the formula:-

[tex]\boxed{\sf A = \cfrac{1}{2} \times b \times h}[/tex]

Where,

Base(B):- 8 ftHight (H):- 4ft

[tex]\sf A = \cfrac{1}{2} \times 8 \times 4[/tex]

First, let's multiply 1/2 * 8 = 8/2.

[tex]\sf \cfrac{8}{2} \times 4[/tex]

Divide 8 by 2= 4

[tex]\sf 4 \times 4[/tex][tex]\sf 16[/tex]

Thus, the area of the triangle is 16ft^2.

Choose all the equations that are equivalent
to -3(x - 2) = 4x − 2(x - 1).
-
Enter the corresponding letters, in alphabetical
order, separated by commas (without spaces).
A. -5x = -4
B. -5x = 4
C. -5x = 8
D. 2x - 4 =-3x
E. -3x + 6 = 2x + 2
F. -3x - 6 = 2x - 2

Answers

Answer:

a,e

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

lets first solve the equation using distributive property:

-3(x-2)=4x-2(x-1)

-3x+6=4x-2x+2

-3x+6=2x+2    (E)

Now move the like terms on one side:

-3x-2x=2-6

-5x=-4             (A)

The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:

Answers

Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.

Set the equation

2x + x = 36

Simplify. Combine like terms

(2x + x) = 36

3x = 36

Isolate the x. Divide 3 from both sides

(3x)/3 = (36)/3

x = 36/3

x = 12

The first number is 12

The second number is 2x. Replace x with 12. Multiply.

2x = 2(12) = 24

The second number is 24

Check: 12 + 24 = 36 (True)

Answer: 12 & 24

Can someone help me with this

Answers

The most reasonable answer is 75°F. 160°F is too overboard and extremely hot for a bowl of soup.


Question 3(Multiple Choice Worth 1 points)
(08.05 LC)
The graphs of f(x) and g(x) are shown below:

Answers

Answer:

The correct equation is D

What is ∑n=15[5(−2)n−1] equal to?

Answers

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, let's understand the notation.

∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.

So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.

Substituting n = 15, we get:

5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384

Therefore,

The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.

Learn more about expressions here:

https://brainly.com/question/3118662

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he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3

Answers

Answer:

Answer:

C

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

i got a hundred on the test

What is 6 3/4 % of $7,600.00

A. 513

B. 520

C. 456

D. 479.25

E. 550

Answers

Answer:

A 513

Step-by-step explanation: is your answer

Hope this helps :)


(2y + 5) (5y + 7)
Simplify your answer.

Answers

Answer:

10y^2 + 39y + 35

Step-by-step explanation:

Simplify using FOIL

Find the surface of the cone in terms of pi.

144pi cm2

108pi cm2

90pi cm2

180pi cm2

please

Answers

The answer is 144pi cm2

Check the picture below.

if the diameter of its base is 12, then its radius must be half that, or 6.

[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]

The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.

Answers

The answer is 28.09 g. I hope this helped.

Answer:
The answer is 4.2 g

I need help! Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

30

Step-by-step explanation:

let unknown angle = x

cos = adjacent / hypotenuse

adjacent of ? = 13

hypotenuse = 15

cos(x) = (13/15)

==> take inverse cos of both sides

x = 30 (rounded)

Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite

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