Twenty-four students brought their permission slips to attend the class field trip to the local art museum. If this represented eight tenths of the class, how many students are in the class? Use a bar diagram to solve arithmetically. Then use an equation to solve algebraically.

Answers

Answer 1

If 24 students went on a field trip, and 24 students represented eight tenths of the class, then [tex]24 = \frac{8}{10}x[/tex].
First, multiply by 10 on both sides.
240 = 8x
Divide by 8 on both sides.
x = 30.

The class has 30 students in all.
This is, however, only the equation way to solve.

Related Questions

complete the factored form of the algebraic expression 18a + 3 = 3( _____+_____)

Answers

So to factorise an expression, you put it into a form where if you expanded the brackets, you'd get the given expression.. if that makes sense. Therefore, you need to multiply the 3 by something to get 18a, and so the first term is 6a. You don't need to multiply 3 by anything to get 3, so the second term is 1. The final result looks like:
3(6a + 1)

if 2 2/3 + 1 4/9 how do i = that into a fraction to make it be more understandable

Answers

You will need common denominators and then make them into improper fractions to make it easier for you. Then add.

show two ways 5 people can share a 3 segment chewy fruit worm equally

Answers

Split them in half or three of them have a how then two have to split

Method 1: Each person gets one segment, and the remaining two segments are cut into halves.

Method 2: Each person gets a half segment, and the remaining segments are cut into thirds.

Method 1: Each person gets one segment, and the remaining two segments are cut into halves:

Step 1: Give one segment to each person.

Step 2: Cut the remaining two segments into halves.

Step 3: Distribute the halves evenly among the five people.

So, each person will get one whole segment and one half segment.

In total, each person will get 1.5 segments.

Method 2: Each person gets a half segment, and the remaining segments are cut into thirds:

Step 1: Cut each of the three segments into thirds.

Step 2: Give one-third of each segment to each person.

Step 3: Each person will also get a half segment from the remaining two segments.

So, each person will get 0.5 segments from the three initial segments and 0.5 segments from the two remaining segments.

In total, each person will get 1 segment.

Both methods ensure that each of the 5 people gets an equal share of the 3-segment chewy fruit worm.

Sue likes to be help____ and clean up her table

Answers

Sue likes to be helpFUL and clean up her table

Sue likes to be helpFUL and clean up her table.

Five less than 3 times a certain number is equal to the original number plus 7 what is the original number? ´-`）

Answers

Five less than 3 times a certain number is equal to the original number plus 7. The original number is 6.

How to estimate the original number?

From the above given information, we get

3x-5 = x+7

Adding 5 to both sides of the equation, we get

3x-5+5 = x+7+5

Simplifying the above equation

3x = x+12

Subtract x from both sides

3x-x = x+12-x

Simplify

2x = 12

Divide both sides by 2

[tex]$\frac{2 x}{2}=\frac{12}{2}[/tex]

Simplify

x = 6

Therefore, the original number is 6.

To learn more about algebra

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Final answer:

To solve the student's problem, which is an algebraic expression, we set up an equation (3x - 5 = x + 7) and solve for x to find that the original number is 6.

Explanation:

The equation inspired by the student's question can be represented algebraically. This type of problem is a linear equation and an essential concept in algebra.

First, let's let the variable x represent the certain number. The problem states that five less than three times this number is equal to the number plus seven. The equation based on the problem statement is:

3x - 5 = x + 7

To solve for x, we can simplify and rearrange the equation:

Move all the terms with x to one side of the equation by adding -x to both sides:

3x - x - 5 = x - x + 7 2x - 5 = 7

Add 5 to both sides to isolate the term with x:

2x - 5 + 5 = 7 + 5 2x = 12

Divide both sides by 2 to solve for x:

2x/2 = 12/2 x = 6

Therefore, the original number, represented by x, is 6.

Jamie is painting a toybox shaped like a rectangular prism with dimensions 3 feet by 2 feet by 1 foot. If she is planning to paint all sides of the box, what is the surface area that she must cover?

Answers

The surface area is 22 feet

The answer is 22ft^2.

I have no idea how to do this can you help me?

Answers

by having 3 grids . filled with the amount with the answer

The first grid that is separated by a line that is 7 of the ten tiles.

Help me simple this 42/90

Answers

7/15 will be the most you can simplify

7/15 is how low u can go

a nail is 0.1875 inches thick.what is it's thickness as a fraction?

Answers

Final answer:

The thickness of a nail that is 0.1875 inches can be converted to a fraction by expressing it in terms of eighths of an inch, resulting in a fractional thickness of 3/16 inches.

Explanation:

To convert the thickness of a nail from inches to a fraction, we can express the decimal 0.1875 inches in terms of fractional parts of an inch. Since there are 16 eighths in a whole, we can multiply both the numerator and denominator of the fraction 1875/10000 by a number that gives us a denominator that is a multiple of 8. Multiplying both by 2 gives us 3750/20000, which simplifies to 3/16 when we divide both numerator and denominator by 1250.

Therefore, the thickness of the nail is 3/16 inches as a fraction.

during the 2011 season, a quarterback passed for 302 yards per game. he played 16 games how many total yards did he have?

Answers

16 * 302 = 4832 yards were the amount of yards he passed per his season

4,832 yards

Further explanation

Given:

During the 2011 season, a quarterback passed for 302 yards per game. He played 16 games.

Question:

How many total yards did he have?

The Process:

During the 2011 season, a quarterback passed for 302 yards per game, and he played 16 games.

To find out how many yards he has in the 2011 season, we must multiply the number of passes per game by the number of games he has played.

[tex]\boxed{ \ 302 \times 16 = \ ? \ }[/tex]

Let us use the following strategy:

[tex]\boxed{ \ 302 = 300 + 2 \rightarrow (300 + 2) \times 16 = \ ? \ }[/tex]

Recall that [tex]\boxed{ \ a \times (b + c) \leftrightharpoons (a \times b) + (a \times c) \ }[/tex]

[tex]\boxed{ \ = (300 + 2) \times 16 \ }[/tex]

[tex]\boxed{ \ = (300 \times 16) + (2 \times 16) \ }[/tex]

[tex]\boxed{ \ = (3 \times 16 \times 100) + (2 \times 16) \ }[/tex]

[tex]\boxed{ \ = (48 \times 100) + (32) \ }[/tex]

[tex]\boxed{ \ = (4,800) + (32) \ }[/tex]

[tex]\boxed{\boxed{ \ 4,832 \ }}[/tex]

Thus, he had 4,832 total yards during the 2011 season.

Learn more How many times does he switch strokes during the race? brainly.com/question/11494844 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462 [tex]\frac{2}{3}[/tex] of the product of [tex]\frac{3}{8}[/tex] and 16 brainly.com/question/961462

Keywords: during, the 2011 season, a quarterback passed, for 302 yards, per game, and, he played, 16 games, how many, total, he have, 4,832

Draw a picture that shows an example of a product of two even numbers. Write the matching multiplication sentence.

Answers

what is the fact over writing numbers just use LCM

[1][2][][][] x [1][2][3][]= 0.03

A bakery used 475 pounds of apples to make 1,000 apple tarts .Each tart contains the same amount of apple. How many pounds of apples are used in each tart

Answers

Final answer:

By dividing 475 pounds of apples by 1,000 tarts, we find that each tart contains 0.475 pounds of apples.

Explanation:

To find out how many pounds of apples are used in each tart, we divide the total amount of apples used by the total number of tarts made. In this case, the bakery used 475 pounds of apples to make 1,000 apple tarts. So, we calculate 475 pounds ÷ 1,000 tarts, which gives us 0.475 pounds of apples per tart.

Final answer:

To find out how many pounds of apples are used in each tart, divide the total amount of apples used by the number of tarts. In this case, each tart contains 0.475 pounds of apples.

Explanation:

To find out how many pounds of apples are used in each tart, we need to divide the total amount of apples used by the number of tarts. In this case, the bakery used 475 pounds of apples to make 1,000 apple tarts. So, to find out how many pounds of apples are used in each tart, we can divide 475 by 1,000:

475 pounds ÷ 1,000 tarts = 0.475 pounds per tart

Therefore, each tart contains 0.475 pounds of apples.

Which of the following statements contain a variable? Check all that apply.

A. Half the speed of the car.
B. They scored 27 points.
C. Eighty miles per hour.
D. The number of different colors on the page.

Answers

D. The number of different colors on the page. It is a kind of variable 'cause it could be anything! Depends on colors on the page and there is not a constant value from which you can relate that.

Is 5/8 greater than 1/2

Answers

Basically, you have five bigger pieces compared to five smaller pieces. So 5/8 is greater than 5/10. When the numerators are the same, we don't have to worry about converting any numbers. Let's look at like fractions (same denominators). SO YEAH

The greater number between 5/8 and 1/2 is 5/8

How to determine which fraction is greater

From the question, we have the following parameters that can be used in our computation:

5/8 or 1/2

Express them as decimals

so, we have the following representation

5/8 = 0.625

1/2 = 0.50

By comparison

0.625 is greater than 0.50

using the above as a guide, we have the following:

This means that the greater number is 5/8

Answers

This would be considered a reasonable estimate because if you were to use estimation, you can round 289 to the nearest hundred (300), which is divisible by 60. When dividing 300 / 60, you will get 5 hours, which is 0.5 greater than 4.5 therefore making it a reasonable estimate. In addition, when actually dividing 289 / 60, you will get approximately 4.8 hours, which is close to the estimate, 4.5 hours.

what's 3 3/4 x 2? SIMPLIFIED

Answers

The answer is 15/2 3 3/4 =15/4 2=2/1 15/4 times 2 /1 equals to 30/4 30/4 =15/2 30 divided by 2 =15 4 divided by 2=2

3 3/4 *2
15/4*2/1
30/4
15/2
or 7 1/2
or 7.5

Hope this helps :)

the bakery made 110 pumpkin muffins. they will packed I boxes with 8 muffins in each box about how many boxes will there be?

Answers

there will be 13 boxes

Do 110 / 8 and you get...13.75 boxes

The sum of 3 fifteens and 4 twos

Answers

3 × 15 = 45
4 × 2 = 8
45 + 8 = 53
Hope this helps!

It means 3fifteens(=45) add 4twos(=8) total together equaling 53

how are adding and subtracting decimals different from multiplying decimals

Answers

in bmultiplying, you always have to move the decimal of the product the amount of place values the decimal has in each factor, for example, 1.50 times 1.50= 2.25, the factors together have 4 decimals, so you move the decimal 4 times to the right (try it, it gets rid of alot of zeros in the answer.)

for adding, it goes up the number you add with. Subtracting,it goes down the number you add with. But multiplying, if its a decimal with a number then or no just a decimal, like 23.94 or 0.23 your number goes down. The reason is that when multiplying it goes up, but multiply by 1, its the same, so if it's less than 1, it goes down.

A baseball pitcher can throw a ball 120 feet per second. At his rate, how long would it take the ball to travel 300 feet? (Show your work)

Answers

time = distance / speed = 300 / 120 = 2.5 seconds

Use the distributive property to evaluate each expression (6+4)(-12)= -6(9-4)= 5(-6+4)= 4(8 - 7)= (5 - 7)(-3)=

Answers

Final answer:

To evaluate expressions using the distributive property, you multiply the term outside the parenthesis by each term inside it separately. This process is carried out for each term, considering the sign rules for multiplication. The result is the sum of these individual products.

Explanation:

When using the distributive property to evaluate each expression, we multiply the outer number by each of the terms inside the parenthesis.

For (6+4)(-12), we distribute -12 to both 6 and 4: (-12 × 6) + (-12 × 4) = -72 + -48 = -120.In -6(9-4), we distribute -6 to 9 and -4: (-6 × 9) + (-6 × -4) = -54 + 24 = -30.For 5(-6+4), we distribute 5 to -6 and 4: (5 × -6) + (5 × 4) = -30 + 20 = -10.With 4(8 - 7), we distribute 4 to 8 and -7: (4 × 8) + (4 × -7) = 32 - 28 = 4.Lastly, for (5 - 7)(-3), we distribute -3 to 5 and -7: (-3 × 5) + (-3 × -7) = -15 + 21 = 6.

Remember, when multiplying two numbers with similar signs, the result is positive, and when multiplying numbers with opposite signs, the result is negative.

Please can you find this out thx
17 only

Answers

17.

h = 45w + 15m
s = 12w + 7m

18.

Question cut

Plz comment or msg if you need more info. Brainest answer is appreciated

Which description best describes the graph?
Linear increasing
Linear decreasing
Nonlinear increasing
Nonlinear decreasing

Answers

its nonlinear decreasing.

hope this helps you

Answer: Hello there!

Let's analyze the graph.

The first thing you can see is that when x increases, y decreases. This means that our function is decreasing.

Now we need to see if it is linear or nonlinear. You can see that the function starts decreasing slowly and it gets sharper when x grows (in the graph you can see a little curve). A linear function is graphed with a straight line, and we can see that is not this case, then our function is nonlinear.

So the correct answer is Nonlinear decreasing, the fourth option.

Question#2: a wise man once said 300 reduced by 4 times my age is 32 what is his age

Answers

300 reduced by 4 times my age is 32

300 - 4x = 32

-300 -300

-4x = -268

/-4 /-4

x = 67

John is planning a trip to Disneyland in Los Angeles, CA. He is leaving his house in Sacramento with a full tank of gas. The table below shows how much gas he will use along the way.

Answers

Do the reaction photosynthesis

Ryan earns $20.16 working for 3 hours. How much does he earn per hour?

Answers

$60.48 you multiply 20.16 by 3

For my opinion its possibly $60.48

When 10 is added to half the sum of a number and 8, the result is 30. What is the number

Answers

Even though we don't know what the number is, we have to
give it some name, so that we have something to work with.

Now, 16 out of every 19 people will call the number ' X '.
But I like to call it ' M ' instead, for 'Mystery number'.

The mystery number . . . . . M
The sum of the number and 8 . . . M + 8
Half of that sum . . . . . . . . . . . . . . (1/2)(M + 8)
10 added to that sum . . . . . . . . . (1/2)(M + 8) + 10

You said that the result is 30, so I can write:

   (1/2) (M + 8) + 10 = 30

Now, subtract 10
from each side: (1/2) (M + 8) = 20

Multiply each side by 2 :     M + 8 = 40

Subtract 8 from
each side:    M = 32 .

Check to see if that's correct.
Take 32, and do everything to it that the question says:

The number . . . . . . . . . . 32 ?
The sum of the number and 8 . . . 32 + 8 = 40
Half of that sum . . . . . . . . . . . . . . (1/2)(40) = 20
10 added to that sum . . . . . . . . .   20 + 10 = 30

You said that the result is 30, and by golly IT IS !
So the mystery number is really 32.
yay !

The mystery number is really 32.

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The mystery number = M

The sum of the number and 8 = M + 8

Half of that sum = (1/2)(M + 8)

10 added to that sum = (1/2)(M + 8) + 10

Thus (1/2) (M + 8) + 10 = 30

Now, subtract 10 from each side:

(1/2) (M + 8) = 20

Multiply each side by 2 :

M + 8 = 40

Subtract 8 from each side:

M = 32 .

So the mystery number is really 32.

Learn more about solving equations here:

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You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5 feet tall, what is the height of the lamppost?

Answers

Answer: 10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground, making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

[tex]\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\\\\\Rightarrow\frac{h}{6}=\frac{5}{3}\\\\\Rightarrow\ h=\frac{6\times5}{3}\\\\\Rightarrow\ h=10[/tex]

Hence, the height of the lamppost = 10 feet.

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

Height of person, Hp = 5 feets

Distance of person form mirror, Dp = 3 feets

Distance of Lampost from mirror, Dm = 6 feets

Height of Lampost = Hl =?

Setting up a proportional relationship :

[tex]\frac{Hp}{Dp} = \frac{Hl}{Dm} [/tex]

[tex]\frac{5}{3} = \frac{Hl}{6} [/tex]

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

Learn more :https://brainly.com/question/18109354

Trisha's garden is 9.87 m long and 1.09 m wide what is the area of her garden

Answers

10.7583 is the area of the garden

10.7583 square units

PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER.
1. Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.

To the nearest tenth of a percent, what is the percent error in Mark's estimate?

Enter your answer in the box.

2. The price of a wallet is $31.95 and the sales tax is 7.5%.

What is the total cost of the wallet?

Enter your answer in the box.

3. A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.

What is the salesman's commission as a percent of his total monthly sales?

Enter your answer in the box.

4. The Picture Below.

Answers

1. Percent error is [tex]| \frac{guess-actual}{actual}| [/tex]
The guess is 15.5mi, and the actual distance is 14.5 mi.
Percent error is [tex]| \frac{15.5-14.5}{14.5}|=0.69=6.9%[/tex]

2. The cost will be $31.95*(1+0.075) = $34.35
The 1 represents 100% of the original amount of $31.95, and now we add 7.5% (0.075) to the 100%. In other words we multiply $31.95 by 107.5%.

3. His commission will be $165 out of $4125, or $165/$4215 = 0.039 = 3.9%

4. The principal (amount of money you start with) is $12000, and the interest rate is 15% of that.
15% of $1800 = 0.15*$12000 = $1800

Answer:

(1)The percentage error is 6.897 % .

(2)The total cost of the wallet is $34.35 .

(3)The salesman's commission as a percent of his total monthly sales is 4% .

(4)The interest is $5400 .

Step-by-step explanation:

First part

Formula

[tex]Percentage = \frac{Change\ in\ value\times 100}{Exact\ value}[/tex]

Change in value = |Approx value - Exact value|

As given

Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.

Approx value = 15.5 mi

Exact value = 14.5 mi

Change in value = |15.5 - 14.5|

= 1

Put all the values in the formula

[tex]Percentage\ error = \frac{1\times 100}{14.5}[/tex]

[tex]Percentage\ error = \frac{100}{14.5}[/tex]

Percentage error = 6.897 % (Approx)

Thus the percentage error is 6.897 % .

Second part

The price of a wallet is $31.95 and the sales tax is 7.5%.

7.5% is written in the decimal form

[tex]= \frac{7.5}{100}[/tex]

= 0.075

Sales tax price = 0.075 × Price of the wallet

= 0.075 × $31.95

= $2.4 (Approx)

Total cost of the wallets = Cost of the wallet + Sales tax price

= $31.95 + $2.4

= $34.35

Therefore the total cost of the wallet is $34.35.

Third part

Formula

[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]

A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.

Part value = $165

Total value = $4125

Put all the values in the formula

[tex]Percentage = \frac{165\times 100}{4125}[/tex]

[tex]Percentage = \frac{16500}{4125}[/tex]

Percentage = 4%

Therefore the salesman's commission as a percent of his total monthly sales is 4% .

Fourth part

Formula

[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]

Principle = $12000

Rate = 15%

Time = 3 years

Put all the values in the formula

[tex]Simple\ interest = \frac{12000\times 15\times 3}{100}[/tex]

[tex]Simple\ interest = \frac{540000}{100}[/tex]

Simple interest = $5400

Therefore the interest is $5400 .

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