At the newest animated movie, for every 9 9 children, there are 4 4 adults. There are a total of 3 9 39 children and adults at the movie. How many children are at the movie?

Answers

Answer 1

Answer:

27 children.

Step-by-step explanation:

For every 9 children there are 4 adults .

x + y = 39  where x = number of children and y = number of adults.

and x/y = 9/4

so  4x = 9y

then x =  9y/4 , so substituting for x in the first equation:-

y + 9y/4 = 39        Multiplying through by 4:-

4y + 9y =  156

y = 156/13 = 12  so there are 12 adults

and 39 - 12 = 27 children





Answer 2
Final answer:

The problem is solved by using the ratio of children to adults and setting up a proportion. After cross-multiplying and solving the equation, it is determined that there are 27 children at the movie.

Explanation:

This is a problem of ratio and proportion. In this case, the ratio of children to adults at the movie is 9 to 4. This means that for every 13 people at the movie (9 children plus 4 adults), 9 are children. We can set up a proportion to determine how many out of the total 39 people at the movie are children.

The proportion is:
9 children / 13 total people = x children / 39 total people

We can solve this problem by cross multiplying: 9 * 39 = 13 * x, which gives us: 351 = 13x. Dividing both sides of the equation by 13, we get: x = 27.

Therefore, 27 children are at the movie.

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Related Questions

Translate the sentence into an equation. Two less than the product of 5 and a number is equal to 6 . Use the variable w for the unknown number.

Answers

Answer:

i think its 5w -2 =6

Step-by-step explanation:

product is 5w and 2 less than product is 5w-2 which is equal to 6

that is 5w - 2 = 6

You and some friends rent a limousine for a formal reception. The bill for the evening is $65.00. A tax of 7% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total?

A. 92.00

B.91.00

C. 85.50

D. 82.55

Answers

Answer:

B

Step-by-step explanation:

Because Im MATHS SUPER MAN

Answer:

$82.55

Step-by-step explanation:

65 + (0.07×65) + (0.2×65)

Jessica needs to make a necklace for 3 of her friends, including her. she wants to use 4.5 inches of string for each necklace. she only has 10 inches of string. How many necklaces can she make and How many more string does she need to buy?

Answers

Answer:

She can make two necklaces with 10 inches. 8 more inches

Step-by-step explanation:


Answer:

She can make 2.2 Necklaces, and needs 3.5 more inches of string.

Step-by-step explanation:

Let's carefully read the problem for information we need.

3 Friends, 4.5 Inches per friend. She only has 10 inches.

If each necklace is 4.5 inches, we need

4.5 (friend one) + 4.5 (friend 2) + 4.5 (friend 3). We can also just take 4.5 * 3 friends and get the same result. This equals 13.5.

But wait! We only have 10 inches... Jessica needs 3.5 more inches of string to be able too complete the 3rd necklace. This is the answer to "How much more string does she need to buy"

---

For "How many necklaces can she make". Well, we know she can't make a full 3 necklaces. We can find out the answer to this by dividing the 10 inches she does have, by the 4.5 inches it takes to make one necklace.

10/4.5=2.2

This means she could make 2 necklaces, and 2/10 (.2) of another necklace before she runs out of string.

At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the average weight per bushel?

Answers

ANSWER

[tex]Average \: Weight = 7 \frac{1}{8} \: bushels[/tex]


EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.


[tex]Average \: Weight = \frac{8 \frac{1}{4} + 6 \frac{1}{2} + 6 \frac{5}{8} }{3} [/tex]


We convert all the mixed numbers to improper fraction to obtain,


[tex]Average \: Weight = \frac{ \frac{33}{4} + \frac{13}{2} + \frac{53}{8} }{3} [/tex]


The least common denominator for the fractions in the numerator is 8.


This implies that,

[tex]Average \: Weight = \frac{ \frac{66 + 52 + 53}{8} }{3} [/tex]

This simplifies to


[tex]Average \: Weight = \frac{ \frac{171}{8} }{3} [/tex]


This gives us,

[tex]Average \: Weight = \frac{171}{24} [/tex]



[tex]Average \: Weight = \frac{57}{8} [/tex]


[tex]Average \: Weight = 7 \frac{1}{8} [/tex]

Determine how much water should be mixed with 6 gallons of 55% solution of sulfuric acid to make a 20% solution of sulfuric acid?

Thanks

Answers

Answer: 16.5 gallons of water should be mixed to make a 20% solution of [tex]H_2SO_4[/tex]

Step-by-step explanation: We are given the concentration of the solution in percentage, it can be taken as the molarity of the solution.

Now, to calculate the volume of water required, we use the formula:

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1\text{ and }V_1[/tex] are the initial molarity and volume of the solution.

[tex]M_2\text{ and }V_2[/tex] are the final molarity and volume of the solution.

Given:

[tex]M_1=55\%\\V_1=6gallons\\M_2=20\%\\V_2=?gallons[/tex]

Putting values in above equation, we get:

[tex]55\times 6=20\times V_2\\V_2=16.5gallons[/tex]

Answer:

10.5 gallons of water should be added.

Step-by-step explanation:

Let [tex]C_{1} * V_{1} = C_{2} * V_{2}[/tex], where [tex]C_{i}[/tex] are the concentration of the solution and [tex]V_{i}[/tex] are the volume of the solution for i=1,2.

Now, substituting values, we have,

55*6 = 20*[tex]V_{2}[/tex]

i.e. [tex]V_{2}[/tex] = (6*55)/20

i.e. [tex]V_{2}[/tex] = 16.5

So, the final volume is 16.5 gallons.

Hence, we need to add 16.5 - 6 = 10.5 gallons of water.

Karen will divide her garden into equal parts. She will plant corn in 2 8 of the garden. What is the fewest number of parts she can divide her garden into? The fewest number of parts is

Answers

two out of eight will be planted

Rosy waxes 2/3 of her car with 1/4 bottle of car wax. At this rate , what fraction of the bottle of car wax will rosy use to wax the entire car ?

Answers

Answer:

8/3 = 1/x or x = 3/8

Step-by-step explanation:

Set up the ratio

(2/3)/(1/4) = 1/x  

solve for x  

 

8/3 = 1/x or x = 3/8

Answer:

Wax required for entire car = 3/8 bottle of wax

Step-by-step explanation:

We have given,

1/4 bottle of car wax can wax 2/3 of her car.

We need to find the wax required to wax her car completely.

Let's derive the relation between wax bottle and car waxing rate:

2/3 of car waxing needs 1/4 of bottle of wax.

for entire car waxing, i.e 1 car waxing needs (1/4) / (2/3) bottle of wax

            wax required for entire car     =    (1/4 )*(3/2)

                                                              =3/8 bottle of wax

If the sum of two number is 19. Their difference is 3. What are the numbers?

Answers

x, y - the numbers

x + y = 19

x - y = 3        add both sides of the equations

2x = 22      divide both sides by 2

x = 11

Substitute the value of x to the first equation:

11 + y = 19     subtract 11 from both sides

y = 8

Answer: 11 and 8.
Final answer:

The sum of the two numbers is 19 and their difference is 3. The two numbers are 11 and 8.

Explanation:

Let's use a system of equations to solve this problem.

Let's say the first number is x and the second number is y.

According to the given information, we have the following equations:

x + y = 19  (equation 1)

x - y = 3  (equation 2)

We can solve these equations simultaneously by either substitution or elimination method.

Let's use the elimination method.

Adding equation 1 and equation 2, we get:

(x + y) + (x - y) = 19 + 3

2x = 22

x = 11

Substituting the value of x in equation 1, we get:

11 + y = 19

y = 8

Therefore, the two numbers are 11 and 8.

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ok i have a few questions please give examples and descriptions as well

1) what is the exponent laws for multiplying and dividing Powers with the same base

2) what is the power of a power law

3) what is the negative and zero exponent laws

Answers

Answer:

1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.

2)Where you multiply the two exponents together

3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.

Step-by-step explanation:

1) 3^3 x 3^4 = 3 ^3+4 = 3^7

3^9 ÷3² = 3^9-2 = 3^7

2) (3^2)^2 = 3^2×2 =3^4

3) 1/3^-5 = 3^5                 \

3^-7 =1/3^7

2^0 = 1

The exponent laws for multiplying and dividing powers with the same base involve adding or subtracting exponents, respectively. The power of a power law states you should multiply exponents. Negative and zero exponent laws indicate how to deal with powers that are negative or zero.

In mathematics, especially when dealing with exponents, there are specific laws that streamline the process of multiplication, division, and dealing with different powers. Below are the laws related to your questions:

Multiplying and Dividing Powers with the Same Base

For multiplication: When two powers with the same base are multiplied, you add the exponents. For example, a^m × a^n = a^(m+n).

For division: When two powers with the same base are divided, you subtract the exponents. For example, a^m ÷ a^n = a^(m-n), where a ≠ 0.

Power of a Power Law

When raising a power to another power, you multiply the exponents. This is known as the power of a power law. So, (a^m)^n = a^(m*n).

Negative and Zero Exponent Laws

A negative exponent indicates division by that base and the exponent turned positive, such as a⁻ⁿ = 1/aⁿ. For a zero exponent, any non-zero base raised to the power of zero equals one, signified as a⁰ = 1.

49 POINTS! PLEASE HELP, SHOW WORK!

Answers

ANSWER:

y = -2/3x + 2

ABOUT SLOPE INTERCEPT FORM:

y = mx + bm represents the slopeb represents the y-intercept AKA the starting point

You have to isolate or get y by itself:

2x + 3y = 6

-2x           -2x

3y = -2x + 6

3             3

y = -2/3x + 2 --- IN SLOPE INTERCEPT FORM


Hope this helps you!!! :)


Answer:

y=-2/3x +2

Step-by-step explanation:

y=mx+b

2x+3y-6

3y-6=-2x

3y=-2x+6

y=-2/3x+2

which operation should be performed immediately after evaluating exponents using the order of operations

addition and subtraction in order from left to right

multiplication and division in order from left to right

parentheses

powers

Answers

Answer:

Multiplication and Division in order from left to right

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication and Division in order from left to right

Addition and Subtraction in order from left to right

Final answer:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

Explanation:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

In the order of operations, exponents are evaluated first, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. This means that after evaluating exponents, you should perform any multiplication or division operations in the expression if they exist.

For example, if you have the expression 2³ times 4 + 6, you would first evaluate 2³ = 8 and then perform the multiplication: 8 times 4 = 32. Finally, you would add the resulting 32 to 6 to get the final answer.

Solving linear combination

Answers

[tex]\underline{+\left\{\begin{array}{ccc}4x+5y=16\\-4x-10y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5y=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{y=-4}\\\\\text{Put the value of y to the first equation:}\\\\4x+5(-4)=16\\4x-20=16\qquad\text{add 20 to both sides}\\4x=36\qquad\text{divide both sides by 4}\\\boxed{x=9}\\\\Answer:\ \boxed{x=9\ and\ y=-4\to(9,\ -4)}[/tex]

Eric has 130 coins consisting of nickels and quarters the coins combined value comes to 15.90

Answers

Answer:

Quarters = 47

Nickels = 83

Step-by-step explanation:

A) N + Q = 130

B) .05N + .25Q = 15.90

Multiplying equation A by -.05 equals

A) -.05N -.05Q = -6.50  then adding this to B)

B) .05N + .25Q = 15.90  Equals

.20Q = 9.40

Quarters = 47

Nickels = 83

.05*83 + .25*47 = 4.15 + 11.75 = 15.90

−2 × 32 − 8 ÷ 2 + 6?

Answers

Answer:

-62

Step-by-step explanation:do multiplication 1st then work out problem left to right.


Simplify 2(x + y) + 3(x + y).

Answers

Answer:

5x+5y

Step-by-step explanation:


convert the measurement 479cm

Answers

What form of measurement do we convert it to?

Convert to what? Feet? Inches? Yards? Meters? Please tell me so i can answer this!

Mr Ortiz oversees the distribution centers for a shipping company. He recently introduced new processes at 2 centers which saved the company 2.4 million Mr. Ortiz plans to introduce the same cost saving processes at all 16 of the company's aistrubution centers. What is the total amount of money that the company can be expected to save

Answers

Answer:

19.2 million.  

Step-by-step explanation:

Let us find the amount of savings per center by dividing 2.4 by 2.

[tex]\text{Amount of savings per center}=\frac{2.4\text{ Million}}{2\text{ Center}}[/tex]

[tex]\text{Amount of savings per center}=1.2\frac{\text{ Million}}{\text{ Center}}[/tex]

Hence, the company saved 1.2 million per center.

Let us multiply savings of each center by total number of company's distribution centers to find the total amount of money that the company can be expected to save.    

[tex]\text{Total amount of company's savings}=(1.2\times 16)\text{ million}[/tex]

[tex]\text{Total amount of company's savings}=19.2\text{ million}[/tex]

Therefore, Mr. Ortiz's company will save 19.2 million.

Enter the coordinates for the solution the following system or equations
Y=3x-8
Y=-x-4

Answers

Answer:

(1,-5)

i plugged it into a graphing calc


Gail bought 18 buttons to put on the shirts she makes she uses five buttons for each shirt how many shirts can still make with the buttons she Bought

Answers

Answer:

18 divided by 5 is equal to 3 with a remainder of 3 so she can only make 3 T-shirts

Step-by-step explanation:


Answer:

3 shirts

Step-by-step explanation:

She has 18 buttons. 18 divided by 5 is 3.6

so she can make 3 shirts

A taxicab ride costs $2.50 plus $1.10 per mile. If the total cost of the trip is $21.20, how many miles did the passenger travel? Let x represent the number of miles

Answers

Answer: The passenger will travel 17 miles.

Step-by-step explanation:

Since we have given that

Cost of a taxicab ride = $2.50

Cost of per mile = $1.10

Total cost of the trip = $21.20

Let number of miles the passenger travel be x

According to equation,

[tex]2.50+1.10x=\$21.20\\\\1.10x=\$21.20-\$2.50\\\\1.1x=18.7\\\\x=\frac{18.7}{1.1}\\\\x=17\ miles[/tex]

Hence, the passenger will travel 17 miles.

Rolling a number cube twice is a dependent event. True or false Asap

Answers

Answer:

False...there's nothing to depend on when you are expecting a random number out of 2 different rolls of the "number cube".

Hope this helps!! (:


A gardener has a patch of land that measures 96 feet long and 37 feet wide. He has 4 plants in each square foot of the garden. How many total plants does the gardener have in his garden?

Answers

Final answer:

The garden has a total of 14,208 plants, calculated by multiplying the area of the garden (3552 square feet) by the number of plants per square foot (4).

Explanation:

The student asked how many total plants are in a gardener's garden, which measures 96 feet long and 37 feet wide, with 4 plants per square foot. To determine the total number of plants, we must first find the area of the garden by multiplying the length and width.

The area of the garden in square feet is 96 feet × 37 feet = 3552 square feet. Since there are 4 plants per square foot, the total number of plants is 3552 × 4 = 14,208 plants.

Michael spins a spinner 10 times. He gets the color red 6 times. How many times would he expect to get the color red if he did 30 spins

Answers

Answer:

18 times

Step-by-step explanation:

6/10= .6

So 60% of 30 is 18

PLEASE HELP! 48 POINTS!




show your work

Answers

Answer:

a.  4y =12x  the constant of variation is 3

Step-by-step explanation:

The equation for direct variation is y=kx

a.  4y =12x

 Divide each side by 4

4y/4 = 12x/4

 y = 3x

This is direct variation and the constant is 3


Equations b ,c, d  all have a constant added which make them something other than a direct variation

Answer:

A Constant of variation is 3

Step-by-step explanation:

Remark

Direct variations have an equation that looks like y = kx There is NO y intercept, or the y intercept = 0. If you solve for the slope of choices B C and D you get a y intercept that is not 0. For example Take C

4y = 5x + 3               Divide both sides by 4 (the coefficient of y)4y/4 = 5x/4 + 3/4     Do the divisiony = 1.25 x + 0.75.0.75 is not zero. This is not a direct variation. The same procedure can be done to B and D with the same results and the same comment.

Solution

Your only possible answer is A

The constant of variation =

4y = 12 x                Divide by 44y/4 = 12x/4           Do the divisiony = 3x                     The coefficient (3) of x is the constant of variation

the entry fee at a small fair is $1.50 for children and $4.00 for adults . on a certain day 1900 people enter the fair and $4402.50 is collected how many children went to the fair?

Answers

150x + 400(1900-x) = 440250

150x + 760000 - 400x = 440250

250x = 319750

x = 1279

There were 1,279 children.

find MI if MB = x+9 and IB = 2x–7

Answers

Answer:

MI = -x+16

Step-by-step explanation:

MI + IB = MB

MI + 2x-7 = x+9

Subtract 2x from each side

MI + 2x-7 -2x = x+9-2x

MI -7 = -x+9

Add 7 to  each side

MI -7+7 = -x+9+7

MI = -x+16

Final answer:

The length of segment MI can be found by adding the lengths of segments MB and IB together, resulting in MI = 3x + 2.

Explanation:

This problem relates to the concept of line segments in geometry. Line MB and IB are parts of a straight line where M, I and B are points on the line. Given that MB = x + 9 and IB = 2x - 7, we realize that MB + IB = MI.

To solve this problem, you simply add the equations of the two line segments together because the total length segment MI would be the sum of segments MB and IB:

So, MI = MB + IB = (x + 9) + (2x - 7).

Then, simplify the equation by performing the addition:

MI = 3x + 2.

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1/3(m-1)=-5
Please help

Answers

Answer:

m=-14 I hope this helps u

Step-by-step explanation:


Sally is 18 years older than her son she was three times as old as he was one year ago how old are they now

Answers

Answer:

Today Sally is 28 years old and her son is 10

Step-by-step explanation:

x= Sally's Age; y= Sally's son age

Sally is 18 years older than her son

x-y=18

And she was three times older

x=3y

Substituting and solving:

3y-y=18

2y=18

Last year they were:

y=9

x=27

This year

y+1=10 ; x+1=28


I hope this will help you it is 54

A metalworker has a metal alloy that is 20​% copper and another alloy that is 60​% copper. How many kilograms of each alloy should the metalworker combine to create 80 kg of a 52​% copper​ alloy?

Answers

Answer:

16 kg of I type and 64 kg of II type should be mixed.

Step-by-step explanation:

Given that a metal alloy in original has 20% copper and 80% other metals.

Another mixture contains 60% copper and 40% other metals.

We have to get a new alloy of 80 kg which has 52% copper.

Let us assume that we mix x kg of I alloy and y kg of second alloy.

Then we have x+y = total weight = 80 kg.

x+y = 80   ... (i)

Next condition is that new alloy has 52% copper in it

When we mix x kg of I, and y kg of II, copper content would be

0.2x+0.6y.  This equals 52% of 80 = 41.6

Or Dividing by 0.2 we get

x+3y =208  ... (ii)

(ii)-(i) gives 2y = 128 or y =64 kg

x = 16 kg

16 kg of I type and 64 kg of II type should be mixed.

Verify:

Copper in new alloy = 16(0.2) + 64(0.6) = 3.2+38.4 = 41.6

= 52% of 80

match the numbers to the letters for equivelents


1. 3(4x + 2)

2. (2x + 3) - (4x +5)

3. 8x + 5 - x + 4

4. 7(3x - 2)

A. 12x + 6

B. -2x-2

C. 7x + 9

D. 21x-14

Answers

use desmos to find th as t answer

To match the numbers to the letters for the equivalents, we can simplify each expression:

3(4x + 2) = 12x + 6 (A)

(2x + 3) - (4x + 5) = 2x + 3 - 4x - 5 = -2x - 2 (B)

8x + 5 - x + 4 = 8x - x + 5 + 4 = 7x + 9 (C)

7(3x - 2) = 21x - 14 (D)

Matching the numbers to the letters for the equivalents:

Expression 1 is equivalent to option A.

Expression 2 is equivalent to option B.

Expression 3 is equivalent to option C.

Expression 4 is equivalent to option D.

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