A shelf support 3 3/4. If a book weighs 3/8 of a pound, how many books can I think hold? If can add more support so the shelf hold 5 1/4 pounds, how many books can the shelf hold now?

Answers

Answer 1

So, you want to get the mixed number, 3 3/4, as a fraction. Multiply 3 by 4 and add it to the top of the fraction, getting you the fraction 15/4. Multiply the top and bottom by 2, getting the denominator to 8 and the numerator to 30. Now, you have two fractions, 30/8 and 3/8, with common denominators. Divide 30 by 3, you get 10. 10 books for the first part. Using this explanation you'll find that the new shelf can hold 14 books.

Related Questions

The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of the year, there were 72 students in the band. By the end of the year, the ratio of girls to boys was 3 to 4. If there are now 48 boys in the band, how many girls joined the band during the school year?

Answers

Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys

New ratio is 3:4 with 48 boys

48➗4= 12

So for girls 3x12= 36

So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.

36 is the amount of girls and 48 boys

Yvonne wrote the numbers sixteen thousand nine hundred eighteen and 64704 on the board
Which of the numbers has a greater value in the thousands place

Answers

sixteen thousand nine hundred eighteen (16,918) is the correct answer

Solve. Please show your work if you can!

Answers

First, I like to turn the mixed fractions into decimals, just to make it easy (for me).

-5.5 - 4.25 = -9.75

-9.75 + 6.75 = -3

-3 is your answer! :D

R - C = P solve for C

Answers

R-C=P subtract R from both sides
-C=-R+P divide -1 on both sides
C=R+P

Marion has 4 cards, jake has 4 cards,and sam has 3 cards.Can you write a multiplication equation to find how many cards they have in all?Explain why or why not

Answers

You can, but only partially.

4 × 2 would cover Marion and Jake, but we have no way of using multiplication with Sam.

What digit is the 5 in 953,187

Answers

The answer is 50,000.

How would 9/25 as a percent

Answers

36% is the answer to the question

Percent means per 100. Find an equivalent fraction with a denominator of 100.

9/25= x/100
25*4=100
9*4=36=x

Final answer: 36%

which is the characteristic of a line

Answers

Length!!!!!!!!!!!!!!!!

A line is a straight, infinite, one-dimensional entity with no thickness or endpoints. It can be represented mathematically, intersects at points or can be parallel to other lines.

Given that,

To find the characteristic of a line.

Now, A line is a fundamental geometric concept characterized by several key properties.

Firstly, it is straight and extends infinitely in both directions.

Secondly, it has no thickness, meaning it is one-dimensional and can be represented by a mathematical equation or equation system.

Thirdly, any two points on a line can be connected to form a segment, making it possible to measure distances along the line.

Now, Additionally, a line has no endpoints, which distinguishes it from a line segment.

Lastly, lines can intersect each other at a single point or be parallel, maintaining a constant distance from one another throughout their lengths.

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Help me simplify! -6 - 8(1 - x) = -14 + 8x

Answers

The answer: The equation is true. x = all real numbers.
_____________________________________________
Given:
_________________________________
-6 − 8(1 − x) = -14 + 8x ;
_________________________________
Note the "distributive property of multiplication" :
_______________________________________________a(b+c) = ab + ac ;
a(b−c) = ab − ac ;_______________________________________________As such:_______________________________________________ -8(1 − x) = (-8 * 1) − (-8*x) = (-8) − (-8x) = -8 + 8x

→ So, rewrite the original equation, substituting: "-8 + 8x" for: "−8(1 − x)" :

→ - 6 − 8 + 8x = -14 + 8x ;
Note: -6 − 8 = -14 ;

Rewrite as:
_____________________________

-14 + 8x = -14 + 8x ;
____________________________________

The answer: The equation is true. x = all real numbers.
_____________________________________________

which line is perpendicular to a line that has a slope of 3 and a y intercept at (0,0)

Answers

hello :
the line has a equation : y = ax (a y intercept at (0,0))
the slope is : - 1/3 ( product the slope = -1 ..... a×3 = -1)
the equation is : y = (-1/3)x

The high school's lunch menu repeats every six school days. The middle school lunch menu repeats every 8 school days. On March 5th, both schools served chicken wraps. What is the next calendar date on which both schools serve chicken wraps?

Answers

It could be the 24th

The answer would be March 29th. 5+6=11+6=17+6=23+6=29- High school
5+8=13+8=21+8=29- Middle School. Hope this helps!

Can u plz mark me as brainliest? I really need it!

y=4mx-7b solve for x

Answers

your answer is x = 7b/4m + y/4m

787.4÷127 show the work

Answers

I hope this helps! When dividing a number with a decimal you can move the decimal to the end and solve.

Use photo math or Socratic. It shows you how they got the answer.

solve the equation, justify each step with an algebraic property
-3x=15

Answers

Final answer:

To solve the equation -3x = 15, you divide by -3 to get x = -5. To check, substitute -5 for x in the original equation to verify that the left and right sides are equal.

Explanation:

To solve the equation -3x = 15, we want to isolate x on one side of the equation. The algebraic property we will use here is the Division Property of Equality, which states that if we divide both sides of an equation by the same nonzero number, the two sides remain equal.

Step-by-Step Solution:

Start with the equation: -3x = 15.Divide both sides of the equation by -3 to isolate x: x = 15 / (-3).Simplify the right side of the equation: x = -5. We've used the Division Property of Equality and simplified the arithmetic.

Now, let's check the answer to verify it's reasonable. Substitute x = -5 back into the original equation (-3x = 15) and see if the equation holds true:

-3(-5) = 1515 = 15, which is true. So the solution x = -5 is correct.

93+(68+7) common core

Answers

First you solve the brackets;
68+7 = 75

Then you add the 93;
75+93 = 168

What number is halfway between 100,000 and 200,000

Answers

150,000
100,000 < 150,000 < 200,000

What is the median of the data shown?
40, 51, 63, 54, 35, 45, 65, 47, 38, 45, 58

The median is

Answers

median means middle so the middle num is 47 glad to help!

The median is the middle number of the set of numbers.
first step: put them in order from least to greatest

35,38,40,45,45,47,51,54,58,63,65

then find the middle number

47 will be your answer

hope this helps

54,984 rounded to the nearest ten thousand?

Answers

54,984 rounded to the nearest ten thousand would be 50,000 since you are rounding to the nearest 10,000 you will round 4,000 to 50,000

Can someone tell me what 1/2 - 1/6 is would really appreciate it, thanks

Answers

Make denominator same first.

1/2 - 1/6

3/6 - 1/6

Now subtract numerators

(3-1) / 6

2/6

Now simplify

1/3

Final answer: 1/3

A bag holds 23 3/4 cups of sugar . A recipe for chocolate chip cookies uses 1 1/4 cups of sugar . How many batches of chocolate chip cookies can be made with one bag of sugar?

Answers

You would be able to make 19 batches of chocolate chip cookies.

Final answer:

One bag of sugar can make 19 batches of chocolate chip cookies.

Explanation:

To determine how many batches of chocolate chip cookies can be made with one bag of sugar, we need to divide the total amount of sugar in the bag by the amount of sugar used in each batch of cookies. Since the bag holds 23 3/4 cups of sugar, and the recipe uses 1 1/4 cups of sugar per batch, we can set up the following division:

23 3/4 ÷ 1 1/4 = (95/4) ÷ (5/4) = (95/4) × (4/5) = 95/5 = 19

Therefore, one bag of sugar can make 19 batches of chocolate chip cookies.

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can someone help with this question. it would be greatly appreciated.

Answers

sqrt(60) =7.745967 rounded to nearest 100th = 7.75

58/8 = 7.25

7.3 rounded to nearest 100th = 7.33

7 3/5 = 7.6

7.6 +7.33 +7.25+7.75 = 29.93/4 = 7.4825 = 7.48km

A gull can fly at a speed of 22 miles per hour about how many feet per hour can the gull fly?

Answers

There are 5280 feet in a mi

22 mi*5280 ft per mile= 116,160

Final answer: 166,160 feet in an hour

Fifteen is no more than a number t divided by 5.

Answers

t is equal to or more that 3

The value of the variable t is greater than or equal to 3.

What is Algebra?

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

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Fifteen is no more than a number t divided by 5 will be given in the mathematical form. Then the inequality is given as,

15 ≤ 5t

t ≥ 15 / 5

t ≥ 3

The value of the variable t is greater than or equal to 3.

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Wyatt received a paycheck of $650. This amount reflects his weekly earnings minus 10% of his earnings for deductions. Write an equation that can be used to find out how much he was paid before deductions were taken out

Answers

That would be 650 = x - 0.1x

name a point that is coplanar with points A and E

Answers

Co-planar means they are on the same plane. The other other point that is on that plane is point B.

Hope this helps!

Solve the equation. x/8 + 12= 16

Answers

Answer:

x=32

Step-by-step explanation:

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The value of x is 32.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

x/8 + 12 = 16

Solve for x.

x/8 + 12 = 16
Subtract 12 on both sides.

x/8 = 16 - 12

x/8 = 4

Multiply 8 on both sides.

x = 8 x 4

x = 32

Thus,

The value of x is 32.

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HOW DO YOU COUNT BY ONES FROM 368 TO 500 AND THEN CHANGE FOR A LARGER UNIT

Answers

Use 2 ones to get to 370, use 3 tens to get to 400, use 1 hundred to get to 500. Hope this helped :)

math question down below need answers for a b c and d please

Answers

(a). How much the T-shirt cost.
(b). 23=12+x
(c). 23-12=x; x= 11
(d) the T-shirt cost $11.

there are 270 sixth grade students and 45 chaperones going on a field trip. How many students will be with each chaperone if the groups are divided equally?

Answers

the answer is 6
270 students divided by 45 chaperones equals 6 per chaperone

The constant rate of change for the relationship shown in the table is $8 per hour. find the missing values

Answers

y=8x
This will give you your answer.

Final answer:

The constant rate of change of $8 per hour signifies that for each hour that passes, the associated value increases by $8. To find missing values in the table, you add or subtract $8 per hour depending on whether you're looking forward or backward in time.

Explanation:

Since the constant rate of change in your table is $8 per hour, this means that for each hour that passes, the value in your relationship increases by $8. This value is akin to the concept of constant slope in the graph of a linear function, where the 'rise over run' (or change in y-values over change in x-values) remains the same.

To find the missing values in your table, start with the first known value and add $8 for each subsequent hour. If you're moving backwards (i.e., from a time later to an earlier time), you would subtract $8 for each hour.

For example, if you know that the value at 2 hours is $20, then the value at 3 hours would be $20 + $8 = $28. On the other hand, the value at 1 hour would be $20 - $8 = $12.

By applying this step-by-step process, you should be able to fill in the missing values in your table.

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