What is the value of 9 2/3 - 4 1/5 ?

Answers

Answer 1

[tex]\bold{Hey\ there!}\\ \\ \bold{9\frac{2}{3}=9\times3+2=27+2=29\rightarrow\frac{29}{3}}\\ \\ \bold{4\frac{1}{5}=4\times5+1=20+1=21\rightarrow \frac{21}{5}} \\ \\ \\ \bold{\bullet \ \frac{29}{3}- \frac{21}{5}} \\ \bold{\bullet \ 3\times5=15}\\ \bold{\bullet \ \frac{15\times0+82}{15}= 15\times0=0\rightarrow 0+82=82} \\ \bold{\bullet\ \boxed{\boxed{\bold{Answer:\frac{82}{15}\ \underline{or} \ 5\frac{7}{15}}}}}[/tex] [tex]\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer 2

The value of 9 2/3-4 1/5 number is 5 7/15 .

To find the value of 9 2/3 - 4 1/5, we first need to convert each mixed number into an improper fraction. For 9 2/3, the improper fraction is (9 × 3 + 2)/3 = 29/3. For 4 1/5, the improper fraction is (4 × 5 + 1)/5 = 21/5.

Next, we need to find a common denominator to subtract these fractions. The least common multiple of 3 and 5 is 15, so we convert each fraction to have this common denominator. The first fraction becomes (29/3) × (5/5) = 145/15, and the second fraction becomes (21/5) × (3/3) = 63/15.

Now we can subtract the second fraction from the first: 145/15 - 63/15 = (145 - 63)/15 = 82/15. To convert this back into a mixed number, we divide 82 by 15 to get 5 with a remainder of 7, so the mixed number is 5 7/15.

Therefore, the answer is 5 7/15.


Related Questions

You own 6 pairs of jeans and want to take 2 of them with you on vacation,in how many ways can you choose 2 pairs of jeans?
A-10
B-12
C-15
D-20

Answers

Answer:

your answer is 20. Hope this helped! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 15

so if marissa walks from her home to the store, then to the park,then back home. How far does she walk in all?​

Answers

Answer:

1 23/24

Step-by-step explanation:

Add up distance between park, home, and store. 7/8 + 1/4 + 5/6 = 47/24

Turn into mixed number (simplest form). 1 23/24 miles

Which statements is an axiom of euclidean geometry?

A. If two lines intersect, their intersection is a plane.

B. If two planes instersect, their intersection is a point.

C. If two points lie in a plane, the line containing those points lies in the same plane.

D. If two points lie in a plane, the line containing those points lies in the same plane.

E. Given any two points A and B, there are exactly two lines that contain those points.

Answers

Answer:

C. If two points lie in a plane, the line containing those points lies in the same plane.

D. If two points lie in a plane, the line containing those points lies in the same plane.

Best regards

How to solve

100x0.25

Answers

Answer:

25

Step-by-step explanation:

To solve 100 x 0.25, multiply 100 by 0.25 directly, which is the same as dividing 100 by 4. The solution is simply 25.

To solve the problem of 100 x 0.25, you can think of it as finding a quarter of 100. Since 0.25 is the decimal equivalent of 1/4, when you multiply 100 by 0.25, you are essentially dividing 100 by 4. The steps to solve this are simple:

Write the multiplication: 100 x 0.25.

Perform the multiplication: 100 x 0.25 = 25.

No proportions or conversions are necessary for this calculation; it is a straightforward multiplication problem. The answer to 100 x 0.25 is 25.

The probable question may be:

How to solve 100x0.25?

Describe a square using geometric vocabulary

Answers

Answer:

parallelogram with equal diagonals that bisect the angles

Step-by-step explanation:

A square is a geometric shape with four equal sides and four right angles. Its diagonals are equal and bisect each other at right angles. The perimeter is calculated as 4 times the side length, and the area is the side length squared.

A square is a fundamental geometric shape, characterized by several distinct properties:

A square has four equal sides, meaning each side has the same length.It has four right angles, with each angle measuring 90 degrees.The diagonals of a square are equal in length and bisect each other at right angles, dividing the square into four right-angled isosceles triangles.The perimeter of a square can be calculated as 4 times the length of one side (P = 4s).The area of a square can be calculated as the side length squared (A = s²).

For example, if each side of a square is 2 feet long,

area= 2 feet x 2 feet = 4 square feet.

These geometric properties make squares an important figure in mathematics and are often found in various structures and designs, emphasizing clarity and symmetry.

Which odd number comes right after 14?

Answers

the odd number after 14 is 15

Answer:

The odd number after 14 is 16

A teacher has 24 students in her class. She wants to divide them into 4 equal groups. Write an expression to represent the number of students in each group.

Answers

let's set up an equation

4x=24

solve normally:

x=6

so the expression is 4x=24 and she can have 6 kids in each group

Which best describes the graphs of the line that passes through (0,2) and (6,4) and the line that passes through (2,1) and (5,7)?

Answers

Answer:

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Step-by-step explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream the speed of the boat in Stillwater is 15 mph greater than the speed of the current find the speed of the current

Answers

Final answer:

To find the speed of the current, we can set up equations for the boat's downstream and upstream speeds and solve for the current speed.

Explanation:

To find the speed of the current, let's assume the speed of the boat in still water is x mph. Since the boat's speed downstream is 60 mph, we can set up the equation:

(x + c) * t = 60

Where 'c' represents the speed of the current, and 't' represents the time taken. Similarly, the equation for the upstream speed of the boat (36 mph) can be written as:

(x - c) * t = 36

Simplifying these equations, we get:

x + c = 60/t

x - c = 36/t

Adding these equations, we obtain:

2x = 96/t

Solving for x, we get:

x = 48/t

Substituting this value back into one of the original equations, we can solve for t:

(48/t) + c = 60/t

Simplifying, we find:

c = 12/t

Therefore, the speed of the current is inversely proportional to the time taken for the downstream and upstream journeys.

Analyze the diagram below and complete the instruction that follow.

Answers

Answer:

x=10

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

7x-3 + 12x-7 = 180

Combine like terms

19x-10 = 180

Add 10 to each side

19x-10+10 = 180+10

19x = 190

Divide by 19

19x/19 = 190/19

x= 10

Answer:

10

Step-by-step explanation:

We are given a diagram which we are to analyze and and solve for x.

We can see the a straight line is intersected by another line thus forming two angles which are supplementary. It means that the sum of these angles is equal to 180 degree.

So we can write them as:

[tex] ( 7 x - 3 ) + ( 12 x - 7 ) = 180 \\\\ 12 x + 7 x = 180 + 3 + 7 \\\\ 19 x = 190 \\\\ x = \frac { 190 } { 19 }\\\\ x = 10 [/tex]

Therefore, the correct answer option is 10.

A football field is 100 yards long and 60 yards wide. Whats the length of a diagonal of the football field

Answers

Answer:

pythag. theorem

100^2 +60^2 =c^2

10,000+3600= (take sq. root) 13,600

c= 116.62ft

Step-by-step explanation:

The length of the diagonal of the football field is 116.62 yards.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse.

The length of the diagonal can be found as follows:

A football field is rectangular in shape.

The diagonal of a rectangle divides it into two right-angled triangles.

Therefore, the diagonal becomes the hypotenuse of the right-angled triangles.

Therefore, diagonal² = length² + width²

diagonal² = 10,000 + 3600 yards²

diagonal² = 13,600 yards²

diagonal = 116.62 yards

Therefore, the length of the diagonal of the football field is 116.62 yards.

Learn more about the Pythagorean theorem here: https://brainly.com/question/16176867

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Cindy recycles 54 pounds of paper. She recycles 9 times as many pounds of paper Monica recycles. How can I solve the equation to find the number of pounds of paper Monica recycled?

Answers

Answer: 54 times 9 =486 pounds Monica recycled

Step-by-step explanation:

Answer:

Let x be the number of pounds of paper Monica recycled.

Since, it is given that, Cindy recycles 9 times as many pounds of paper Monica recycles.

Thus, the  number of pounds of paper Cindy recycled = 9x,

According to the question,

9x = 54

Which is required the equation to find the number of pounds of paper Monica recycled.

Now, divide both sides of the above equation by 9,

We will get,

x = 6

Therefore, Monica recycled 6 pounds of paper.

Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6 ANSWER: {( a0)}

I need a 100% right answer
14 pts.

Answers

Answer:

[tex]x=2[/tex], [tex]y=0[/tex], or as an ordered pair [tex](x,y)=(2,0)[/tex].

Step-by-step explanation:

We have the system of equations

[tex]5x + 2y = 10[/tex] equation (1)

[tex]3x + 2y = 6[/tex] equation (2)

Since both equations have the term [tex]2y[/tex], we are using the elimination method:

Step 1. Multiply equation (2) by -1 and add the result equation to equation (1):

[tex]\left \{ {{-1(3x + 2y = 6)} \atop +{5x + 2y = 10}} \right.[/tex]

[tex]\left \{ {{-3x -2y = -6)} \atop +{5x + 2y = 10}} \right.[/tex]

Now we can get rid of [tex]-2y[/tex]

[tex]2x=4[/tex]

[tex]x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

Step 2. Replace the value [tex]x=2[/tex] in equation (1) to find the value of [tex]y[/tex]:

[tex]5x + 2y = 10[/tex]

[tex]5(2) + 2y = 10[/tex]

[tex]10 + 2y = 10[/tex]

[tex]2y = 0[/tex]

[tex]y = 0[/tex]

We can conclude that the solution of the system of equations is [tex]x=2[/tex], [tex]y=0[/tex], or as an ordered pair [tex](x,y)=(2,0)[/tex].

If the radius of the circle was doubled what effect would it have on the area

Answers

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

perform the multiplication
(a–5)^2(5+a)^2

Answers

[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (a-5)^2(5+a)^2\implies (a-5)^2(a+5)^2\implies [(a-5)(a+5)]^2\implies \stackrel{\stackrel{\textit{difference}}{\textit{of squares}}}{[a^2-5^2]^2} \\[2em] [a^2-25]^2\implies (a^2-25)(a^2-25)\implies \stackrel{\mathbb{F~O~I~L}}{a^4-50a^2+25^2}\implies a^4-50a^2+625[/tex]

How to transform this to vertex form 2x^2-18x+8

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

y = 2(x² - 9x) + 8

• add/subtract (half the coefficient of the x- term)² to x² - 9x

y = 2(x² + 2 (- [tex]\frac{9}{2}[/tex]) x + (- [tex]\frac{9}{2}[/tex])² - (- [tex]\frac{9}{2}[/tex])²) + 8

y = 2(x - [tex]\frac{9}{2}[/tex])² - 2([tex]\frac{81}{4}[/tex] + 8

  = 2(x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{65}{2}[/tex] ← in vertex form

a line passes through the point (9,-3) and has a slope of negative 2 over 3. write an equation in slope intercept form for this line

Answers

Answer:

y= -2/3x-3, (Word Form: Y equals negative 2 over 3x minus 3.)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3

Answer:

[tex]y=-\frac{2x}{3}+3[/tex]

Step-by-step explanation:

Hello

I think I can help you with this

if you a have  the slope and a point of the line , it is possible to find the equation using:

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

where, m is the slope, (x1,y1) are the coordinates of the known point

Step 1

Let

[tex]P1(9,-3)\\slope=-\frac{2}{3}[/tex]

replacing

[tex]y-(-3)=-\frac{2}{3}(x-9 )\\y+3=-\frac{2x}{3}+\frac{18}{3}\\isolating\ y \\y=-\frac{2x}{3}+6-3\\y=-\frac{2x}{3}+3\\[/tex]

Have a good day.

the product of two even consecutive numbers, the smaller of which is equal to 2n.

Answers

the second even number is 2n + 2

2n (2n+2)

4n^2 + 4n

[tex]4 {n}^{2} + 4n[/tex]

PLEZ NEED HELP ASAP 24.455−18.246

Answers

Answer:

The answer is 6.209

You could put it into a calculator and get 6.209 but what's the fun in that

I'll attach how to subtract manually

How many references should you have ready to list if an employer asks for them? a. 1-3 b. 3-5 c. 5-7 d. 7-9 Please select the best answer from the choices provided A B C D

Answers

B 3-5 is the correct answer.

Final answer:

You should prepare a separate sheet with 3-5 references when an employer requests them, choosing them strategically and ensuring they agree to vouch for you.

Explanation:

When an employer asks for your list of references, you should be prepared to provide a separate sheet with this information, rather than listing it directly on your résumé. A generally accepted number of references is three, so the best answer to how many references should be ready to list if an employer asks for them is 3-5. These references could include a mix of superiors, co-workers, clients, or instructors. It is important to contact each reference to confirm their willingness to speak on your behalf and to ensure your reference sheet is consistent with the look of your cover letter and résumé. Moreover, always choose references strategically, selecting those who can positively attest to your skills, knowledge, and work habits.

Ayuda por favor
I need help

Answers

Answer:

B

Step-by-step explanation:

Multiplying something by 10^-1 is just dividing it by 10.

So 3.02 / 10 = 0.302 since the decimal point moves one to the left.

B

Explication pas à pas:

[tex]3.02 / 10 = 0.302[/tex]

le point décimal se déplace de un à gauche.

F(x)=x^2-3x-2 is shifted 4 units left. The results is g(x). What is g(x)?

Answers

Answer:

B. [tex]g(x)=(x+4)^2-3(x+4)-2[/tex]

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x-2[/tex]

If [tex]f(x)[/tex] is shifted to the left 4 units and the result is [tex]g(x)[/tex].

Then;

[tex]g(x)=f(x+4)[/tex]

We substitute [tex](x+4)[/tex] into [tex]f(x)=x^2-3x-2[/tex] to find the [tex]g(x)[/tex].

[tex]g(x)=(x+4)^2-3(x+4)-2[/tex]

The correct choice is B.

52,940 written in expanded form

Answers

Answer:

Fifty two thousand nine hundred forty

Step-by-step explanation:

Thank you!!

Please mark this as the brainliest one!!!

What expression is equivalent to 4(2x+1)-(-6x)

Answers

Final answer:

The expression 4(2x+1)-(-6x) simplifies to the equivalent expression 14x + 4 using the distributive property and the rule for subtracting negative numbers.

Explanation:

The expression given is 4(2x+1)-(-6x). To simplify this expression, we should use the distributive property and also the rule that subtracting a negative is the same as adding a positive.

Let's break down the steps:

First, distribute the 4 inside the parentheses: 4 × 2x + 4 × 1, which gives us 8x + 4.Next, consider the term -(-6x). Subtracting a negative number is equivalent to adding: -(-6x) = +6x.Finally, combine the like terms: 8x + 6x + 4 which simplifies to 14x + 4.

The equivalent expression for the given problem is found to be 14x + 4.

solve for x 6=1 over 3x+5

Answers

[tex]6 = 1 \: \over 3x + 5[/tex]

Need to show a 5 step problem on how to get the answer. Using x and y

Answers

Answer:   $5.64

Step-by-step explanation:

Let x represent 1 box of batteries

Let y represent 1 case of batteries

Given: 14x = 3y

Given: 158 = 14x + 3y

Use substitution: 158 = 14x + 14x

Simplify:                158 = 28x

Divide by 28:        5.64 = x

Amir has a stand where he sells lemonade for $1.00 per cup and packages of chocolate chip cookies for $1.50. If he earns $280 on his first weekend and sells twice as many cups of lemonade as packages of cookies, how many of each did he sell? Wrote and solve a system of equations.

Answers

Answer:

160 cups of lemonade and 80 packages of cookies.

Step-by-step explanation:

l = lemonade

c = cookies

l+1.5c=280

2c=l

Substitute.

3.5c=280

Simplify.

c=80

Substitute into the second equation.

l=160.

Plug it back into the equations to check.

HELP PLZZZZ BRAINLIEST! Which stem-and-leaf plot represents the data 10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15?

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

For stem leaf plot, the only thing you do is put the number on the tens place under "stem" and the number on the ones place under "leaf".

The stem-and-leaf plot that represents the data is the Stem and leaf of option C.

Option C is the correct answer.

What are stem and leaf?

In statistics, a stem-and-leaf plot is a way to display a set of numerical data in a visual format that allows for easy analysis of the distribution of the data.

We have,

The data are:

10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15

This can be written in stem and leaf form as:

Stem and leaf of option C.

Now,

There are 5 numbers where the first value is 1.

i.e

10, 10, 15, 15, and 15.

This can be seen in the Stem and leaf of option C.

Thus,

The stem-and-leaf plot that represents the data is the Stem and leaf of option C.

Learn more about stem and leaf here:

https://brainly.com/question/27722653

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which of the following are leisure activities

Answers

Final answer:

Leisure activities can be categorized as either active or passive and include a variety of pursuits from bowling, hunting, and team sports to reading, computer games, and television viewing. Technological advancements have led to an increase in sedentary leisure activities such as web surfing.

Explanation:

Leisure activities encompass a range of pursuits that individuals engage in during their free time for enjoyment, relaxation, and entertainment.

In contemporary society, leisure activities have evolved to include both active and passive forms.

Examples of active leisure activities that were popular in the past include sports such as bowling, hunting, fishing, boating, and golf, as well as attendance at team sports like baseball, basketball, and football.

These activities usually involve physical exertion and outdoor participation.

On the other hand, sedentary or passive leisure activities have grown in prevalence with advancements in technology, including computer games, web surfing, and television viewing.

Furthermore, cultural activities such as reading books and magazines, enjoying music, dancing, and art have remained significant leisure pursuits.

Examples of recreational goods and services include televisions, cable television, pets and pet products, sports equipment, and admissions to events or locations relating to these activities.

The soccer coach claimed that on average only 80% of the team come to practice each day if the team has 20 members how many team members should come to practice to uphold the coach’s claim

Answers

Answer:

16 team members.

Step-by-step explanation:

To find 80% of 20, multiply 20 by 0.8.

20 × 0.8 = 16.

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