What is 8 4/7 divided by 15 equal

Answers

Answer 1

[tex]\(8 \frac{4}{7}\)[/tex] divided by 15 is equal to [tex]\(\frac{4}{7}\).[/tex]

To divide the mixed number [tex]\(8 \frac{4}{7}\)[/tex] by 15, we first need to convert the mixed number to an improper fraction and then perform the division.

Step 1: Convert [tex]\(8 \frac{4}{7}\)[/tex] to an improper fraction.

[tex]\[ 8 \frac{4}{7} = \frac{(8 \times 7) + 4}{7} = \frac{56 + 4}{7} = \frac{60}{7} \][/tex]

Step 2: Perform the division.

[tex]\[ \frac{60}{7} \div 15 = \frac{60}{7} \times \frac{1}{15} \][/tex]

Now, multiply the numerators and denominators:

[tex]\[ \frac{60 \times 1}{7 \times 15} = \frac{60}{105} \][/tex]

Next, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15:

[tex]\[ \frac{60 \div 15}{105 \div 15} = \frac{4}{7} \][/tex]


Related Questions

What is 2 = f - 27.

Answers

Answer:

F=29

Step-by-step explanation:

27+2

Answer:

f=29

Step-by-step explanation:

Questiul 4 15 points)
Laurie and Maya sold at most $50 worth of get-well and friendship cards. The
friendship cards, x, were sold for $2 each and the get-well cards, y, were sold for
$1.50 each. Which point represents a reasonable number of cards sold?

Answers

Answer:

2 dollars cuz ur poor

Step-by-step explanation:

2453 minus 249 equals

Answers

Answer: 2,204

Step-by-step explanation:

Final answer:

To solve 2453 minus 249, align the numbers by place value and subtract each column starting from the rightmost digit, borrowing where necessary. The result of 2453 minus 249 is 2204.

Explanation:

The question is a basic arithmetic problem involving subtraction. The task is to subtract 249 from 2453. We write the numbers in column form, aligning the units, tens, hundreds, and thousands places properly:



2453
-  249
------



We start subtracting from the rightmost digit (units place) and proceed to the left:



Finally, subtract in the thousands place: 2 minus 0 is 2.



After completing the subtraction, we have the result:



2204



Therefore, 2453 minus 249 equals 2204.


Solve this equation 3x4x4x15-14+1= ?

Answers

Answer:

my answer is 707

Step-by-step explanation:

i used a calculator lol

Answer:

707

Step-by-step explanation:

Write an expression with two terms. 1 term should have a coefficient with a variable and the other term should be constant. Name the coefficient, the variable, and the constant in the expression. Then write a word phrase for your expression.
________________________________________________________________________________________________________________________________________

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The 2 would be the coefficient with x as a variable, and the 5 would be the constant.

At the beginning of the day Jessica had 5 dollars (constant), and for every hour she worked (variable), she made 2 dollars (coefficient).

An example of an expression with two terms is 3x + 5, where 3 is the coefficient, x is the variable, and 5 is the constant. A word phrase for this expression is "Three times a number plus five."

An example of an expression with two terms where one term has a coefficient with a variable and the other term is constant is:

3x + 5

In this expression:

The coefficient is 3.

The variable is x.

The constant is 5.

A word phrase for this expression could be: "Three times a number plus five."

Plz help now for 30 points k

Answers

Find total of non blue socks:

7 + 8 + 4 = 19

There are 9 blue socks.

Ratio is blue / non blue = 9/19

Find the value of x and explain please
ANSWER ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

y = - 4

Step-by-step explanation:

Given

y = 2 - 9x ← substitute x = [tex]\frac{2}{3}[/tex]

y = 2 - ( 9 × [tex]\frac{2}{3}[/tex] ) ← cancel the 9 and 3 by 3

  = 2 - (3 × 2 )

  = 2 - 6

  = - 4

What is the value of the function FX equals 4X +9 when X equals

Answers

I don’t have what x equals so I can’t solve without what x equals
You have the answer you can’t make it smaller

Lesson 12 Homework
A rectangular garden has a total area of 48 square yards. Draw and label two possible rectangular
gardens with different side lengths that have the same area.
on the fifth figure in​

Answers

See picture for solution to your problem.

She gave 1/3 of cookies for her husband 1/4 of the cookies to her son and 1/6 of a cookies to her neighbor she ate the remaining six cookies how many cookies did she make

Answers

She made 15 cookies

Solution:

Let "x" be the number of cookies she made

She gave 1/3 of cookies for her husband

Therefore,

[tex]Husband = \frac{1}{3}x[/tex]

Find the remaining

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

1/4 of the cookies to her son

Therefore,

[tex]son = \frac{1}{4} \times \frac{2x}{3} = \frac{x}{6}[/tex]

Now again find the remaining

[tex]Remaining = \frac{2x}{3} - \frac{x}{6} = \frac{x}{2}[/tex]

1/6 of a cookies to her neighbor

[tex]Neighbor = \frac{1}{6} \times \frac{x}{2} = \frac{x}{12}[/tex]

Now again find the remaining

[tex]Remaining = \frac{x}{2} - \frac{x}{12} = \frac{5x}{12}[/tex]

She ate the remaining six cookies

Therefore,

[tex]\frac{5x}{12} = 6\\\\5x = 72\\\\x = 14.4[/tex]

Thus she made approximately 15 cookies

9. A relation contains the points ( -5,-10),( -2,-4)(-1,-2),(4,8) and (5,10) . Is this a function? Explain. (2 points)

Answers

Answer:

Yes it is a function given by f(x) = 2x

Step-by-step explanation:

Any function can approximated as series or a polynomial. For example,

[tex]e^{x} = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} ...[/tex]    (exponential function)

(n! or n factorial is equal to n(n-1)(n-2)...3.2.1 ;  3! = 3.2.1 = 6)

and for the series to converge(the sum does not go to infinity), higher order terms must tend to zero.

General form of a polynomial/series: [tex]f(x) = a + bx +cx^{2} + ...[/tex]

For the given set of points, we can start with the straight line equation:

[tex]f(x) = y = a + bx[/tex]    ........(1)

Let us take two points from the given relation: (-5, -10), (-1, -2)

and put the respective x and y values in equation (1), we get two equations, which we can then solve simultaneously to get values of [tex]a[/tex] and [tex]b[/tex]:

[tex]-10=a-5b[/tex]    ........(2)

[tex]-2=a-b[/tex]    ..........(3)

Now (3) - (2) gives us: [tex]b=2[/tex] and putting the value of [tex]b[/tex] in any of the above equation gives us [tex]a=0[/tex]

Hence, we get the equation, [tex]f(x)=y=2x[/tex]

It can be seen that all the given points satisfies this relation and since we get a unique [tex]y[/tex] for every [tex]x[/tex], we can call this a function.

Final answer:

The provided relation is a function because each x-value is unique and maps to exactly one y-value, fulfilling the criterion that every element of the domain is associated with exactly one element of the range.

Explanation:

The question asks if a relation containing the points (-5,-10), (-2,-4), (-1,-2), (4,8), and (5,10) is a function. To determine if this relation is a function, we need to examine if any x-value (the first number in each pair) repeats with a different y-value (the second number in each pair). Upon inspection, we see that each x-value is unique to a single y-value, which means that each element of the domain maps to a unique value in the range. Therefore, we can conclude that this relation is indeed a function.

In general, a function is defined as a relation in which every element of the domain (set of all first elements) is associated with exactly one element of the range (set of all second elements). This criterion is met in the relation provided as each x-value is unique and paired with only one y-value.

I need help with this asap.

4a, b, c

Answers

A large tray of sardines cost €33.5A 3 kg bag of squid cost €16.5A 2kg box of mussels cost €9.5

Explanation:

From this problem, we know that during the weekend Fiona bought some frozen seafood at the market. She bought the following things:

A large tray of sardinesA 3 kg bag of squidA 2kg box of mussels

Let:

x: The large tray of sardines

y: The 3 kg bag of squid

z: The 2kg box of mussels

Then, we have the following information:

The sardines and the squid cost €50:

[tex]x+y=50 \ ... \ eq1[/tex]

The sardines and the mussels cost €43:

[tex]x+z=43 \ ... \ eq2[/tex]

The squid and the mussels cost €26:

[tex]y+z=26 \ ... \ eq3[/tex]

Isolating x from eq 1 and substituting into eq 2:

[tex]From \ eq1: \\ \\ x=50-y \\ \\ \\ Substituting \ into \ eq2: \\ \\ (50-y)+z=43 \\ \\ -y+z=43-50 \\ \\ -y+z=-7 \ ... \ eq4[/tex]

Adding eq3 and eq4:

[tex]\ \ y+z=26 \\ \\ -y+z=-7 \\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ \\ 2z=19 \\ \\ z=9.5[/tex]

From eq 3:

[tex]y+z=26 \\ \\ y+9.5=26 \\ \\ y=26-9.5 \\ \\ y=16.5[/tex]

From eq 1:

[tex]x=50-y \\ \\ x=50-16.5 \\ \\ x=33.5[/tex]

Finally:

A large tray of sardines cost €33.5A 3 kg bag of squid cost €16.5A 2kg box of mussels cost €9.5

Learn more:

Solving systems of linear equations: https://brainly.com/question/13799715

#LearnWithBrainly

Use the distributive property to create an equivalent expression to 7x divided by 56 use GCF

Answers

Answer:

x/8

Step-by-step explanation:

7x/56=x/8

Fraction calculator 66 1/2 - 43=

Answers

Answer:

[tex]\frac{47}{2}[/tex]

Step-by-step explanation:

66[tex]\frac{1}{2}[/tex] - 43 = 47/2

Answer:

47/2

Step-by-step explanation:

What is the radius of a
cylinder with a diameter of
36?

Answers

Answer:

radius=diameter÷2=36÷2=13

Yo sup??

diameter=2*radius

36=2 r

r=18

therefore the radius is 18 units

Hope this helps

4√6 •√3 how do I show work for this because the answer is 2√12​

Answers

Answer:

[tex]4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2} [/tex]

Step-by-step explanation:

We want to simplify the radical expression:

[tex]4 \sqrt{6} \times \sqrt{3} [/tex]

We write √6 as √(2*3).

This implies that:

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2 \times 3} \times \sqrt{3} [/tex]

We now split the radical for √(2*3) to get:

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times \sqrt{3} \times \sqrt{3} [/tex]

We obtain a perfect square at the far right.

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times (\sqrt{3} )^{2} [/tex]

This simplifies to

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times 3[/tex]

This gives us:

[tex]4 \sqrt{6} \times \sqrt{3} = 4 \times 3 \sqrt{2} [/tex]

and finally, we have:

[tex]4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2} [/tex]

How many times can 27 go into 224

Answers

27 can go into 224 8 times, it has a remainder of 8
8.29 times if you want to be exact

What is the answer to this 4×3^2?

Evaluate the expression. ​

Answers

The answer to this question is 36

Answer:

36

Step-by-step explanation:

The first thing to simplify is the Exponents

3^2 means 3 multiplied by it self 2 times

3×3=9

4×3^2

4×9

36

Question is in the problem, help please

Answers

Answer:

π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ← r is the radius

Here diameter d = 2, thus r = 2 ÷ 2 = 1, thus

A = π × 1² = π × 1 = π units² ← exact solution

or A = 3.14 units² ← as a decimal

Anton's family drove 216 mi to the lake averaging 48 ​ mi/h ​ . On the return trip home they averaged 54 mi/h .

What was the total time that Anton's family spent driving to and from the lake?

Answers

The total time that Anton's family spent driving to and from the lake is 8.5 hours

Solution:

Time taken is given by formula:

[tex]Time = \frac{distance}{speed}[/tex]

Anton's family drove 216 mi to the lake averaging 48 ​ mi/h

⇒ Anton's family drove total distance = 216 mi les

⇒ Speed of Antony's family driving to lake = 48 miles per hour

[tex]Time = \frac{216}{48} = 4.5[/tex]

Therefore, time taken to drive to lake is 4.5 hour

On the return trip home they averaged 54 mi/h

[tex]Time = \frac{216}{54} = 4[/tex]

Therefore, time taken to return home is 4 hours

Total time = 4.5 + 4 = 8.5 hours

Thus the total time that Anton's family spent driving to and from the lake is 8.5 hours

What is the answer to this equation
3 3/7 + 4 5/7=

Answers

Conversion a mixed number 3 3
7
to a improper fraction: 3 3/7 = 3 3
7
= 3 · 7 + 3
7
= 21 + 3
7
= 24
7


To find new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7
7
= 21
7

b) Add the answer from previous step 21 to the numerator 3. New numerator is 21 + 3 = 24
c) Write previous answer (new numerator 24) over the denominator 7.

Three and three sevenths is twenty-four sevenths
Conversion a mixed number 4 5
7
to a improper fraction: 4 5/7 = 4 5
7
= 4 · 7 + 5
7
= 28 + 5
7
= 33
7


To find new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7
7
= 28
7

b) Add the answer from previous step 28 to the numerator 5. New numerator is 28 + 5 = 33
c) Write previous answer (new numerator 33) over the denominator 7.

Four and five sevenths is thirty-three sevenths
Add: 24
7
+ 33
7
= 24 + 33
7
= 57
7

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - twenty-four sevenths plus thirty-three sevenths = fifty-seven sevenths.

Answer:

8  1/7

Step-by-step explanation:

First,you take 3 and 3/7 and line it up with 4 and 5/7 and first you add your whole numbers which come before the fractions and get 7.Next,you add the fractions and get 8/7. Now you know it needs symplified because its an improper fraction. To symplify you have to × or ÷ and whatever one you do you have to do it to both the numerator and denominator. If you divide 8÷7=1 R1  7÷7=1.  Last add 7+1+1/7=8 1/7.

2 + a/6 = -4 what is a?

Answers

Answer:

a= -36

Step-by-step explanation:

1. Subtract 2 from both sides

    2 + a/6 -2 = -4 -2

2. Simplify

    a/6 = -6

3. Multiply both sides by 6

     6a/6 = 6(-6)

4. Simplify

     a = -36

nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?

Answers

Answer:

32 black fish

Step-by-step explanation:

1. set up a ratio

[tex]\frac{5}{8} = \frac{20}{?}[/tex]

2. we know that we have to multiply by 4 to get from 5 orange fish to 20 orange fish. Therefore we multiply the 8 black fish by 4 as well to get 32 black fish

[tex]\frac{5}{8} =\frac{20}{32}[/tex]

A ticket at a movie theater costs $8.50. One night, the theater had $29,886 in ticket sales.


Which is the best estimate for the number of tickets sold?
2,000
30,000
3,000
4,000

Answers

Answer:

i would guess 3000

Step-by-step explanation:

this is because i rounded 8.50 to 10. and rounded 29886 to 30000

[tex]30000 \div 10 = 3000[/tex]

Roger wants to buy 58 tennis balls. Estimate how many canisters he would have to buy if there are 3 tennis balls per canister by rounding the total number of tennis balls to the nearest tens place.

Answers

20 canisters

Step-by-step explanation:

Long divide the 58 by 3 to get 19.3 repeating. Then round off to 20. Hope this helps!

Final answer:

After rounding 58 tennis balls to the nearest ten, Roger would need to buy approximately 20 canisters, with each canister containing 3 tennis balls.

Explanation:

Roger wants to buy 58 tennis balls and needs to estimate how many canisters he would have to buy if there are 3 tennis balls per canister. To estimate, we round the total number of tennis balls to the nearest tens place. Rounding 58 to the nearest ten gives us 60. To find the number of canisters needed, we divide the rounded number of tennis balls by the number of balls per canister:

60 ÷ 3 = 20 canisters

Therefore, Roger would need to buy approximately 20 canisters to have around 60 tennis balls.

SHOW ALL WORK: Graph each lineby plotting its intercepts or by using the y intercept and slope. {2x-y=4 {3y-3x=6

Answers

Answer:

x-y=-2

Step-by-step explanation:

Divide both sides if the equations by 3.

(3y-3x)÷3=6÷3

y-3x÷3=2

calculate the quotient

y-x=2

multiply both sides of the equation bub -1

-1x(-x)-1y=-1x2

any expression multiplied by -1

x-1y=-1x2

any expression multiplied by 1 remains the same.

x--y=-1x2

x-y=-2

WILL GIVE BRAINLIEST!?!?!!?!?!? WHATS 9+10?????

Answers

the answer to 9 + 10 is 19
9 + 10 is equal to 21

Elle is buying new flooring for her kitchen
and laundry room. She knows that the
area of the kitchen is 132 square feet. The
laundry room is 8 1/3 feet by 6 3/4 feet. What is
the total area of the two rooms?

Answers

Answer:

The total area of the two rooms is 188.25 square feet

Step-by-step explanation:

Given:

Area of the kitchen = 132 square feet.

Dimension of the Laundry room =  8 1/3 feet by 6 3/4 feet.

To Find:

The total area of the two rooms = ?

Solution:

Area of the two rooms   =  Area of the kitchen + Area of the laundry room

Area of the two rooms   =    132 +  Area of the laundry room

Area of the laundry room  =[tex](8 \frac{1}{3}) \times (6 \frac{3}{4})[/tex]

Area of the laundry room  =[tex]\frac{25}{3} \times \frac{27}{4}[/tex]

Area of the laundry = [tex]\frac{675}{12}[/tex]

Area of the two rooms   =    [tex]132 + \frac{675}{12}[/tex]

Area of the two rooms   = 132 + 56.25

Area of the two rooms   = 188.25 square feet

Final answer:

The total area of Elle's kitchen and laundry room combined is 188.25 square feet. This is found by first calculating the area of the laundry room with given dimensions and then adding it to the area of the kitchen.

Explanation:

The question involves finding the total area of two rooms, given the area of one and the dimensions of the other. The kitchen has an area of 132 square feet. For the laundry room, we need to calculate the area by multiplying its length and width. The dimensions are 8 1/3 feet by 6 3/4 feet. To find the area, convert mixed numbers to improper fractions: 8 1/3 becomes 25/3 feet, and 6 3/4 becomes 27/4 feet. The area is then calculated as (25/3) * (27/4) square feet.

To compute this, multiply the numerators and denominators separately: (25*27) / (3*4) = 675 / 12, which simplifies to 56.25 square feet. Now, add the area of the laundry room to the area of the kitchen to get the total area of both rooms: 132 + 56.25 = 188.25 square feet. Therefore, the total area of the two rooms is 188.25 square feet.

A rectangular box of height 10 has a base with edges of length 10. What is the length of a diagonal of this box?

Answers

Answer:

The diagonal of the box is [tex]D=10\sqrt{3}\ units[/tex]

Step-by-step explanation:

Let

d ----> the diagonal of the base

D ---> the diagonal of the box

step 1

Find the diagonal of the base

Applying the Pythagorean Theorem

[tex]d^2=10^2+10^2[/tex]

[tex]d^2=200[/tex]

[tex]d=10\sqrt{2}\ units[/tex]

step 2

Find the diagonal of the box

In this part the legs of the right triangle are the height of the box and the diagonal of the base

so

Applying the Pythagorean Theorem

[tex]D^2=10^2+(10\sqrt2)^2[/tex]

[tex]D^2=300[/tex]

[tex]D=10\sqrt{3}\ units[/tex]

A class will have 1 test and 5 homework assignments to complete. If the test is worth 80 points and each homework assignment is work 25% of the test, how many points may be earned during this unit?

Answers

Answer:

180 points.

Step-by-step explanation:

Given:

A class will have 1 test and 5 homework assignments to complete.

The test is worth 80 points.

Each homework assignment is work 25% of the test.

Question asked:

How many points may be earned during this unit ?

Solution:

By unitary method:

Points may be earned from 1 assignments = [tex]25\% of 80[/tex] (given)

                                                                       = [tex]\frac{25}{100} \times 80 = \frac{2000}{100} = 20[/tex]

Points may be earned from 5  assignments = [tex]5\times 20 = 100[/tex]

Points may be earned from 1 test = [tex]80[/tex]

Total points may be earned = 100 + 80 = 180

Therefore, 180 points may be earned during this unit.

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