write a real word problem that involves finding the product of 3/4 and 1/8

Answers

Answer 1
A carpenter wants you to find the surface area of a shelf top. The length of the shelf is 3/4 m and the depth is 1/8 m.
Answer 2
Final answer:

A real-world example involving the product of 3/4 and 1/8 could be calculated through cutting a cake into equal parts. 3/4 of a cake is equivalent to 3 out of 32 pieces when the cake is divided into 1/8th pieces.

Explanation:

Let's imagine a cake. If you slice the cake into 8 equal pieces, a whole cake can be said to represent 1, and each slice represents 1/8 of the cake. Now, suppose that you have 3/4 of another similar cake. You are curious and want to know how many 1/8 pieces would make up your 3/4 cake. We will do this by multiplying 3/4 by 1/8. Follow the step by step process:

Step 1: Multiply the numerators (the top numbers). 3 x 1 = 3.Step 2: Multiply the denominators (the bottom numbers). 4 x 8 = 32.Step 3: Simplify the fraction, if needed. In this case, 3/32 is already simplified.

So, 3/4 of a cake is equal to 3 out of 32 pieces when the cake is cut into 1/8th pieces.

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Related Questions

A certain bacteria is placed in a jar. Initially, there are 25 bacteria. Every hour, the number of bacteria quadruples. How much bacteria will there be in 6 hours?

Answers

Hello!

So, to answer this question we need to note that quadruple = x4

25 (our initial count) x 4 = 100

100 (after one hour) x 4 = 400

400 (after two hours) x 4 = 1600

1600 (after three hours) x 4 = 6400

6400 (after four hours) x 4 = 25600

25600 (after five hours) x 4 = 102400


So to answer your question, after six hours, there will be 102,400 of that bacteria in the jar.

Hope this helps!

3x-2+5x=-4x+5-2x solve

Answers

Hey there!!

Given equation :

... 3x - 2 + 5x = 4x + 5 - 2x

Combining like terms :

... 8x - 2 = 2x - 5

Subtracting 2x on both sides :

... 6x - 2 = - 5

Adding 2 on both sides :

... 6x = - 3

Dividing by 6 on both sides :

... x = -1/2 = -0.5

Hence, the answer is -0.5

Hope my answer helps!


this is the answer. hope it helps!

I AM NOT GOOD @ WORD PROBLEMS

Answers

Here are you're answers:

Number sentence: 25 - 14 = 11

Word sentence: twenty-five minus fourteen equals eleven

The three boxes:

11

25 14

Hope this helps!

Please help ! Mark brainly !

Answers

it would be positive because the positive number is bigger than the negative number.

Combine the two terms. Note that one negative sign and one positive sign will result in a negative sign.

8704 + (-7725) = 8704 - 7725 = 979

979 is the resulting number, which is a positive number

Positive is your answer

hope this helps

the lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward how high does the lava reach before it starts to fall

Answers

The Equation i did for this is  930 + -220= 710, I did a Negative on 220 is Because The Text States that it is "under" The Sea level.

The height of the lava that is measured from the sea level will be 710 feet.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward.

The height of the lava that is measured from the sea level will be given as the difference between the numbers 930 ft and 220 ft.

⇒ 930 - 220

⇒ 710 feet

The height of the lava that is measured from the sea level will be 710 feet.

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Complete the ratio table to show ratios equivalent to 16:10. The blank parts are what's missing. Thank you

2 8
36 9 72

Answers

Final answer:

The ratio table is completed by finding values that are equivalent to the ratio 16:10, which simplifies to 8:5. The corresponding values are calculated by setting up proportions based on the original ratio.

Explanation:

To complete the ratio table that shows ratios equivalent to 16:10, we first understand that the ratio can be simplified to 8:5 by dividing both terms by 2.

We can use this simplified ratio to find missing values in the table.

For the row with 2 in the first column, the second column should be 2 times 5/8 (since 8:5 is equivalent to 16:10) to maintain the ratio equivalency.

This gives us the value 2*(5/8)=1.25.

In the row where the second column is 36, we need to determine the equivalent in the first column.

We set up the proportion 8/5=x/36, and solving for x gives us 8*(36/5)=57.6.

The last row given is 72 in the second column.

To find the corresponding first column value, we use the ratio 8/5=x/72 and solve for x to find 8*(72/5)=115.2.

The filled in ratio table should look like this:

2 : 1.2557.6 : 36115.2 : 72

Find three consecutive even integers such that the sum of twice the smallest and three times the largest is 42

Answers

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

3.5 inches divided by 24.5 inches

Answers

Your Answer Is approximately 0.143
I think the answer is 1/7 or 0.143 inches.

If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?
A. 2
B. 3
C. 9
D. 10

20 points to the brainliest user!!!!

Answers

If x=3+bi, then

[tex]|x|=\sqrt{3^2+b^2}.[/tex]

You know that [tex]|x|^2=13,[/tex] then

[tex]\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.[/tex]

Two possible complex numbers satisfy these conditions:

[tex]x_1=3+2i, \ x_2=3-2i.[/tex]

As you can see the possible value of b is 2.

Answer: correct choice is A.

Final answer:

The possible value of b in the given complex number is 2 (Option A). This is found by using the definition of modulus of a complex number and solving the resulting equation.

Explanation:

This question requires understanding of complex numbers and their modulus. A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i^2 = -1.

|x|^2 represents the square of the modulus (or absolute value) of the complex number x which is defined as |x|^2 = a^2 + b^2. Given in the question, x = 3 + bi and |x|^2 = 13. Thus, by substitution, we get 13 = 3^2 + b^2.

Performing arithmetic operations, it's equivalent to b^2 = 13 - 3^2 = 4. To solve for b, we take the square root of both sides. Because b can be positive or negative, we get b = ±2. Therefore, from the options given, the possible value of b is 2 (Option A).

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Jenny writes a story for 60 mind if she starts writing her story at 11:50 Am when will she Finnish writing

Answers

Answer:

12:50 AM

Step-by-step explanation:

60 minutes is 1 hour. add one hour to the start time to get 12:50 AM

Answer:

12:50 AM

Step-by-step explanation:

Add one hour to the start time

Which one is greatest to least ?

Answers

0.23, 1/5, 19%


i believe that is correct

order these numbers from least to greatest -3/5 , 7/9, 1.7,-7/2,0.3

Answers

Hey there! Just know they are [tex]below[/tex]     [tex]zero[/tex] because they are fractions, negatives,  and decimals So, the easier way to answer your question is to  convert the fractions into decimals or percentiles [tex]-\frac{3}{5}[/tex] → [tex]-0.6[/tex] → [tex]-0.6[/tex]% [tex]\frac{7}{9}[/tex] → [tex]0.78[/tex] →[tex]0.78[/tex]% [tex]1.7 =[/tex] → [tex]1.7[/tex] → [tex]1.7[/tex]% [tex]-\frac{7}{2}[/tex][tex]-3.5[/tex] [tex]-3.5[/tex]% [tex]0.3[/tex] → [tex]0.3[/tex]% Now that we got that out of the way your answer should look like this [tex]-\frac{7}{2} ,[/tex] [tex]-\frac{3}{5}[/tex], [tex]0.3,[/tex] [tex]\frac{7}{9}[/tex], [tex]1.7[/tex]Good luck on your assignment and enjoy your day! ~[tex]LoveYourselfFirst:)[/tex]

In science class Abigail's frog weighed 0.88 kilograms what is the value of the digit in the tenths place

Answers

In decimals, the tenths place is  right after the decimal point. Therefore, the value of the digit in the tenths place of 0.88 is 8.

A local garden club had 14 members with a mean age of 34. Then two new members joined. One was 24 years old, and the other was 36 years old. How did the mean age change after they joined?

Answers

Without knowing the ages of all the different members of the club, I believe that the mean would go down due to 24 being an outlier. You generally take the mean by adding up all the numbers and dividing by all the # of given values. Outliers such as 24 would skew the results leaning none way or the other, in this case making it lower than the previous mean.

Answer:it decreased

Step-by-step explanation:

The distance from home to school is 3.25 miles, and the distance from school to the soda shop is 900 feet. What is the total distance from home to the soda shop?

Answers

There are 5280 feet in a mile, so 900 feet = 900/5280

=  0.1705 miles to nearest 10,000th of a mile

Total distance =  3.25 + 0.1705

= 3.4205 miles

In miles, 3.420455

In feet, 18060.0024

Hope this helps :)

In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pack of Baseball Cards Age in years, x Value in dollars, y 5 0.75 10 5.75 15 10.75 20 15.75 Which statement is correct about the slope of the linear function that the table represents?

Answers

The slope of the linear function that the table represents is one

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a table in which [x] represents the age in years of a collectible baseball card, and [y] represents its value in dollars.

We have the following table -

Cards age [x]                 5                      10                      15                    20    

Value in dollars [y]      $0.75               $5.75                $10.75            $15.75

We can calculate the slope of the linear function as -

m = (5.75 - 0.75)/(10 - 5)

m = 5/5

m = 1

Therefore, the slope of the linear function that the table represents is one.

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[Refer to the image for full question]

Somebody help!!!! Please

Answers

f(x) = (x - 4 )(x - 6) = 0

because you can see when each factor is equal to zero

x - 4 = 0 ⇒ x = 4

x - 6 = 0 ⇒ x = 6



yesterday grace drove 28 1/2 miles she used 1/4 gallons of gasoline.what is the unit rate for miles per gallon

Answers

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer:

[tex]unit\ rate=114 \frac{miles}{gallon}[/tex]

Step-by-step explanation:

Hello, I think I can help you with this

remember some properties of mixed numbers

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\[/tex]

Step 1

covert 28 1/2

a=28

b=1

c=2

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\[/tex]

Hence, the distance she drove is 28.5 miles

Step 2

find the  number of gallons

[tex]\frac{1}{4}=0.25[/tex]

then, she used 0.25 gallons to travel 28.5 miles

Step 3

find the unit rate for miles per gallon

[tex]unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}[/tex]

Have a great day.

HELP! My math assignment is due in 15 minutes and this question makes no sense!

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Write and solve an absolute value inequality that represents the acceptable numbers of words.

Answers

Answer:

Now you can give brainliest to the person that answered the question

Step-by-step explanation:

cause the answer helped me

The absolute value inequality to represent the number of words Constraint is 470 ≤ X ≤ 530

Number of words required = 500

Error or deviation = 30

This means that :

Minimum number of words = 500 - 30 = 470Maximum number of words = 500 + 30 = 530This means that number of words must not be below the minimum value of 470 and it must not exceed the maximum number of 530

Therefore, an absolute value which represents the acceptable number of words :

Minimum ≤ number of words ≤ maximum

Hence, the absolute value inequality for the number of words required is 470 ≤ X ≤ 530

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Solve for b , then find the value of b when a= 3
4a=2b-7

Answers

4×3=2b-7
12=2b-7
+7 +7
19=2b
19÷2=9.5
2b÷2=b
9.5=b

4(3)=2b-7
12=2b-7
+7 +7
19=2b
19 divided by 2 = 9.5
2b divided by 2 = b
b=9.5

find the range of the following peicewise functiom

Answers

f(x) = x + 4   ; -4 ≤ x < 3

f(-4) = (-4) + 4

      = 0

f(3) = (3) + 4

     = 7

R: 0 ≤ y < 7    ⇒   [0, 7)

***************************

f(x) = 2x - 1   ; 3 ≤ x < 6

f(3) = 2(3) - 1

      = 6 - 1

       = 5

f(6) = 2(6) - 1

      = 12 - 1

      = 11

R: 5 ≤ y < 11   ⇒   [5, 11)

******************************

Now, put them together:   [0, 7) U  [5, 11)   = [0, 11)

Answer: B

answer is [0,11)

f(x) = x+4 is the first function

We plug in -4 for x  in f(x) = x+4

f(-4) = -4 + 4 = 0

So the graph starts at (-4,0)

Now plug in 3 for x  in f(x) = x+4

f(3) = 3 + 4 = 7

So the first function ends at (3,7)

Second function is f(x) = 2x - 1

We plug in 3 for x  in f(x) = 2x-1

f(3) =2(3)-1 = 5

So the second graph starts at (3,5)

We plug in 6 for x  in f(x) = 2x-1

f(6) =2(6)-1 = 11

So the second graph ends at (6,11)

3<=x<6 so 6 is excluded from x

The range of the following piece wise function is 0  to 11

answer is [0,11)

local Readers Club has a set 36 hardback books and a set of 30 paperback books each set can be divided equally among the club members what is the greatest possible number of club members

Answers

6 because 6x6=36 and 6x5=30


[tex]4y + 8 = 2[/tex]

Answers

[tex]4y+8=2\qquad|\text{subtract 8 from both sides}\\\\4y=-6\qquad|\text{divide both sides by 4}\\\\y=-\dfrac{6}{4}\\\\\boxed{y=-\dfrac{3}{2}\to y=-1.5}[/tex]

Hello there!

[tex]4y+8=2[/tex]

Explanation:

↓↓↓↓↓↓

First you had to subtract by 8 from both sides of the equations.

[tex]4y+8-8=2-8[/tex]

Simplify

[tex]4y=-6[/tex]

Then you divide by 4 from both sides of the equations.

[tex]\frac{4y}{4}=\frac{-6}{4}[/tex]

Simplify it should be the correct answer.

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

Answer⇒⇒⇒⇒⇒y=-3/2

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

john is saving money at a constant rate. Suppose he initially has $110 saved and after 2 months he has $160 saved. at what rate is john saving

Answers

The rate John is saving is 25. How? You can do 160-110 (to find difference). After this, you will get 50. You can now divide this by 2 (because the problem says two months), which is 25. You can see if this is correct by adding 25 to 110 two times.


110 + 25

= 135


135+25

=160


John is saving money at a constant rate is $25.

Given that, suppose he initially has $110 saved and after 2 months he has $160 saved.

What is the rate?

The definition of a rate is a quantity measured and compared to another quantity measured (such as a number of miles per hour) or is the cost of something.

Now, money saved=160-110=$50, time 2 months

Rate of money per month=50/2=$25

Therefore, John is saving money at a constant rate is $25.

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Find the solution of 7x = 35, and verify your solution using substitution.

A. x = 6; 7(6) = 35, 35 = 35
B. x = –5; 7(–5) = 35, –35 = –35
C. x = 245; 7(35) = 245, 245 = 245
D. x = 5; 7(5) = 35, 35 = 35

Answers

Answer : option D

Find the solution of 7x = 35

To solve for x , we need to get x alone

so we divide by 7 on both sides

[tex]\frac{7x}{7} =\frac{35}{7}[/tex]

So x= 5

To verify the solution we plug in 5 for x in the given equation 7x= 35

x=5

We have, 7x= 35

7(5)= 35

35= 35

So verified

The solution of expression is,

D. x = 5; 7(5) = 35, 35 = 35

We have to give that,

An equation to simplify,

7x = 35

Now, Simplify the equation as,

7x = 35

Divide on both sides by 7,

7x/7 = 35/7

x = 5

Hence, The solution is, x = 5

And verify it as,

7x = 35

Put x= 5;

7 (5) = 35

7 × 5 = 35

35 = 35

Therefore, The solution is, x = 5

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The number 45,28, and 53 form a Pythagorean triple

Answers

To be a Pythagorean triple, the numbers must satisfy the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

so check:

[tex]45^2+28^2=53^2\\\\2025+784=2809\\[/tex]

and that holds, so the statement is TRUE

Complete the table for the given rule.
Rule: y=x−4

x y
4
6
8

Answers

Answer:

x y

4 0

6 2

8 4

Step-by-step explanation:

y=x-4

Replace x each x variable

4-4=0

6-4=2

8-4=4

To complete the table for the given rule y = x - 4, the values of y are found by substituting the x-values into the equation, resulting in y-values of 0, 2, and 4 for x-values of 4, 6, and 8, respectively.

The student has asked to complete a table for the given rule: y = x - 4. To find the value of y for each given x, we simply substitute the x values into the equation and solve for y.

For x = 4, y = 4 - 4 = 0.

For x = 6, y = 6 - 4 = 2.

For x = 8, y = 8 - 4 = 4.

Therefore, the completed table is:

x = 4, y = 0

x = 6, y = 2

x = 8, y = 4

find the area........

Answers

Do what I said for the first one I answered and you will definitely get the correct answer.

orange juice is sold in four different sizes the 8 1/2 ounce bottle costs $0.99 the 18 2/2 oz. bottle costs $1.49 the 48 1/4 oz. carton costs $2.49 and the 64 3/4 oz. carton costs $3.75

1.calculate a unit rate for each size

2. which size is the best buy

Answers

Answer:

Part 1) The units rates are

A) [tex]0.1165\frac{\$}{oz}[/tex]

B) [tex]0.1656\frac{\$}{oz}[/tex]

C) [tex]0.0516\frac{\$}{oz}[/tex]

D) [tex]0.0579\frac{\$}{oz}[/tex]

Part 2) The best buy is the size 48 1/4 oz

Step-by-step explanation:

we know that

To find out the unit rate divide the total cost by the total volume

Part 1) Calculate the unit rate for each size

case A) we have

8 1/2 ounce bottle costs $0.99

Convert mixed number to an improper fraction

[tex]8\frac{1}{2} =\frac{8*2+1}{2}=\frac{17}{2}\ oz[/tex]

Find the unit rate

[tex]\frac{0.99}{(17/2)}= 0.1165\frac{\$}{oz}[/tex]

case B) we have

18 2/2 oz. bottle costs $1.49

Convert mixed number

[tex]18\frac{2}{2} =18+1=19\ oz[/tex]

Find the unit rate

[tex]\frac{1.49}{19}= 0.1656\frac{\$}{oz}[/tex]

case C) we have

48 1/4 oz. carton costs $2.49

Convert mixed number to an improper fraction

[tex]48\frac{1}{4} =\frac{48*4+1}{4}=\frac{193}{4}\ oz[/tex]

Find the unit rate

[tex]\frac{2.49}{(193/4)}= 0.0516\frac{\$}{oz}[/tex]

case D) we have

64 3/4 oz. carton costs $3.75

Convert mixed number to an improper fraction

[tex]64\frac{3}{4} =\frac{64*4+3}{4}=\frac{259}{4}\ oz[/tex]

Find the unit rate

[tex]\frac{3.75}{(259/4)}= 0.0579\frac{\$}{oz}[/tex]

Part 2) which size is the best buy

we know that

The best buy is the one with the smallest unit rate

so

[tex]0.0516\frac{\$}{oz}[/tex]

The best buy is the size 48 1/4 oz

Answer:Expert's right here WHY U LOOK AT ME

Step-by-step explanation:

could a number ever be both rational and irrational

Answers

No. Irrational numbers are things like pi and numbers that don't end. ex. 3.14159... or 2.368964...

By definition an irrational number is one that is not rational. Therefore, it is not possible for a number to both rational and irrational.

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British colonists' ships set out directly from New York and New England carrying the food and timber that the islands needed, trading them for sugar, which the merchants brought back up the coast. Then the colonists traded their sugar for English fabrics, clothes, and simple manufactured goods, or they took their rum directly to Africa to buy slavesto sell to the sugar islands. English, North American, French, and Dutch ships competed to supply the Caribbean plantations and buy their sugar. And even all these boats filling the waters of the Atlantic were but one part of an even larger system of world trade. Africans who sold other Africans as slaves insisted on being paid in fabrics from India. Indeed, historians have discovered that some 35 percent of the cargo typically taken from Europe to Africa originally came from India. What could the Europeans use to buy Indian cloth? The Spanish shipped silver from the mines of Bolivia to Manila in the Philippines, and bought Asian products there. Any silver that English or French pirates could steal from the Spanish was also ideal for buying Asian cloth. So to get the fabrics that would buy the slaves that could be sold for sugar for the English to put into their tea, the Spanish shipped silver to the Philippines, and the French, English, and Dutch sailed east to India. What we call a triangle was really as round as the globe. Which evidence best supports the authors' claim and purpose?A. "Simple enough; but this trade up and down the Atlantic coast was part of a much larger world system."B. "Beekman's trade, for example, could cut out Europe entirely."C. "Africans who sold other Africans as slaves insisted on being paid in fabrics from India."D. "What could the Europeans use to buy Indian cloth?" Andy has won 12 out of the last 24 tennis matches he has played. If he wants to improve his win record to 70%, which equation could he use to determine how many matches he would have to win in a row? A) 12 + x 24 + x = 0.70 B) 24 + x 12 + x = 0.70 C) 0.70 24 + x = 12 + x D) 0.70 12 + x = 24 + x compare the ratios 2 to 7 and 5:7 using the circles to model Please help me with this 45 g of vinegar and 60 g of baking soda were used in a chemical reaction. What is the total mass of the products? Calculate the number of ways in which four paintings can be awarded first, second, third, and fourth prizes at an art competition in which a total of 30 paintings are displayed paula has 6 video games. myles has 1 more video game than paula. what could you use to find how many video games in all? A DVD store charges $4.70 for each day, a DVD is rented. The store also gives you a dollar off if the DVD is returned before 5 days. a.Write a rule to represent the rental charges. b. How much will you pay if you return the DVD after 4 days? 7 days? Identify 3 literary elements that are presented in the Necklace (By Guy De Maupassant)