In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum?

I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!

Answers

Answer 1

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?


Related Questions

NEED HELP ASAP Evaluate the expression when g = 3.

4g

Answers

Answer:

12

Step-by-step explanation:

4(3)

4*3 = 12

Answer:

It is 12 I got it right.

Step-by-step explanation:

help please
anybody?

Answers

Answer:

C.40%

Step-by-step explanation:

Answer:

Your answer would be 40%.

Step-by-step explanation:

If the pizza was cut into 10 pieces, each piece would equal 10%. Therefore, since she had ate 4 pieces, she had eaten 40% of the pizza.

Divide using the division algorithm 392,196 divided by 87

(No long division)

Answers

The answer to this question 4928

i need help someone plzzz

Answers

Answer:

on what...like brush how do we help u if u don't have a question

Help me
pleaseeee
i need help

Answers

Answer:

A=2, B=28

Step-by-step explanation:

A:6:7

8:24:B

A=8÷4

 =2

B=7×4

 =28

Answer:A=2

B=28

Step-by-step explanation:

write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.​

Answers

Answer:

Type of variation

1) Direct variation

Simple equation y=Kx

Y varies directly with x

Practical example-

Radius of the circle lit by a car's

Light decreases (y) as the distance away from the garage decreases (c)

2) Inverse variation

Simple equation y=k/x

Y inversely with c

Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)

3) Joint variation

Simple equation y=kxz

Y varies jointly with x and z

Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside

Step-by-step explanation:

A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?

Answers

13.01 ounces of yogurt











guys is there a way to change your age on brainly i pressed the wrong age and now brainly thinks im in high school when im in middle school.
also solve this problem so i can put it under math.
what is 176x 1,789

Answers

Answer:

i dont think so...

Step-by-step explanation:

314864

Answer:

314,864 is the product.

Step-by-step explanation:

176 x 1,789= 314,864

The cube has an edge of 1/4. What is the volume of the cube?

Answers

Step-by-step explanation:

V = Volume of cube

a = edge of cube

Formula of volume of cube:

V = a³

[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]

Volume of the cube = [tex] \frac{1}{64} [/tex]

−6/7 m = −84

what does m =

Answers

Answer:

m=98

Step-by-step explanation:

-6/7m=-84 - Divide both sides by -6/7

-84/(-6/7)=84*7/6=98

Answer:

m = 98

Step-by-step explanation:

First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.

Hope this helps you :)

Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)

Answers

Answer:

D

Step-by-step explanation:

move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)

find the slope of the line that passes through the points (-2 3 )and( 4 3)​

Answers

Step-by-step explanation:

Given points,

( -2 , 3) and (4,3)

we know,

slope = y_2 - y_1 / x_2 - x_1

so according to it we got,

→ (3 - 3)/4 - (-2)

→ 0/6

hope this answer helps you dear! take care.

Hello!

To find the slope when we have 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]

Here's something for you to remember:

When the y-coordinates of two points are the same, the slope is 0.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Which division problem is modeled

Answers

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

I need help I’m revising for a test and l don’t understand this question please help!

Answers

Answer:

- 5 ≤ x < 3

Step-by-step explanation:

The lower limit has a solid circle at - 5

This means that x can equal - 5

The upper limit has an open circle at 3

This means that x cannot be equal to 3

The inequality represented by the diagram is then

- 5 ≤ x < 3

write the ratio in simplest form.
12 DVDS to 10 books.

Answers

Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

= 12:10/ 2

=6:5

please mark me as brainliest!!! Good luck with your tests!

Solve the given equation

x – 1 + 5x = 23

Answers

Step-by-step explanation:

x - 1 + 5x = 23

6x - 1 = 23

6x = 23 + 1 = 24

6x = 24

x = 24/6

x = 4 ans.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

4 ones 4 tenths plus 4 tenths

Answers

Answer:

4 8/10

Step-by-step explanation:

4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10

Adding 4 ones, 4 tenths and 4 tenths gives 4.8

To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.

4 ones = 4 x 1

4 tenths = 4 x 1/10

So, 4 ones + 4 tenths + 4 tenths

= 4 x 1 + 4 x 1/10 + 4 x 1/10

= 4 + 0.4 + 0.4

= 4+ 0.8

= 4.8

Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.

Learn more about Place value here:

https://brainly.com/question/27734142

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A 98% confidence interval is found to be (32,46). What is the margin of error ?

Answers

Using confidence interval concepts, it is found that the margin of error is of 7.

A confidence interval has the format (a,b).The margin of error is half the difference between the two bounds, that is:

[tex]M = \frac{b - a}{2}[/tex]

In this problem, the interval is (32, 46), hence [tex]b = 46, a = 32[/tex], and the margin of error is:

[tex]M = \frac{46 - 32}{2} = 7[/tex]

The margin of error is of 7.

A similar problem is given at https://brainly.com/question/25704940

Answer:

Step-by-step explanation:

its 7 just did it

Are repeating decimals like 34.79 rational numbers?

Answers

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.

Answers

for every 13 dogs, there are 25 cats. is the answer.

Someone plz help me :(

Answers

Answer:

yes its B................

B is the answer.

4 to the 3 power
4x4x4

PLEASE HELP Me!!!!!!!!!!

Answers

Answer:84

Step-by-step explanation:

hope this helps :))

Jolene McCall posted a new announcement in 7th period STEM 8th grade - S1

Bellwork: open a word document and type the following:
What are the 5 forms of energy?
Give an example of each to discuss in class in a few minutes.
Agenda: day 2 notes on alternate energy
Assignment chose one of the 2 to complete

Posted nov 16 by Jolene McCall

5 sin^2 x = sin x
please help.

Answers

[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]

Divide both sides by sin x

[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]

[tex]\\ \sf\longmapsto 5sinx=1[/tex]

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto sinx=0.2[/tex]

[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]

[tex]\\ \sf\longmapsto x=11.53[/tex]

The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

114 degrees

Step-by-step explanation:

6x+12=3x+63

-3x -12 -3x  -12

3x=51

x=17

6(17) +12 = 114

I don’t understand please help

Answers

Answer:

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base  

( 5 )  of the left side  ( 25 )  equals the exponent  ( 2 ) .   log 5 ( 25 ) = 2

Use the definition of a logarithm,  

log b ( x ) = y  ⟹  b y = x , to convert from the logarithmic form to the exponential form.

32  4/ 5 = 16

The ratio of two numbers is 4:9. When 5 is subtracted from each of them ,the now 38. Find the numbers​

Answers

Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers

Need to Find : The numbers

Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.

Let the constant multiple be x

Now, according to the question:

The numbers are 4x and 9x

As we get to know that each of them is subtracted by 5. So,

1st number = 4x - 5

2nd number = 9x - 5

New ratio becomes 3:8

(4x - 5)/(9x - 5) = 3/8

8(4x - 5) = 3(9x - 5)

32x - 40 = 27x - 15

32x - 27x = - 15 + 40

5x = 25

x = 25/5

x = 5

Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.

1st number = 4x = 4(5) = 20

2nd number = 9x = 9(5) = 45

∴ The numbers are 20 and 45 respectively.

Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi

Answers

negative five pi divided by two

I need help with these. I have no idea how to find the answer for them. My teacher told me the first one was 136 but she didn’t explain how to find the answer or anything. Can someone please explain how you get the answers step by step & not just give them to me. Thank!

Answers

Answer:

136

55

53

70

Step-by-step explanation:

1) here x and 136 are alternate interior angles and they are equal

2) here x and 125 lie on the same straight line

so x  + 125 = 180

x = 55

3) here 53 and x are corresponding angles and they are equal

x = 53

4) for this see picture below

side angle to 110 becomes x because of corresponding angles

and as this x and 110 lie on same line

x + 110 = 180

x = 70

Answer:

A) If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line. And when 2 lines crosses, the opposite angles are the same.

B) x is 180° - 125° = 55°

C) x is 53° (If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line.)

D) x is 180° - 110° = 70°

What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

A book has 12 chapters. The mean length of the chapters is 38 pages. How many total pages are there in the 12 chapters

Answers

The decimal approximation for cot(235°36') is approximately -0.9503.

To find the decimal approximation for cot(235°36'), we first need to convert the angle to degrees.

The given angle is 235°36'. We can convert this to decimal degrees by adding the fraction of minutes to the degree value. There are 60 minutes in a degree, so we divide 36 by 60 to convert it to a fraction of a degree:

36 / 60 = 0.6 degrees

Now, we can add this fraction to the degree value:

235 + 0.6 = 235.6 degrees

The cotangent function is the reciprocal of the tangent function. To find the cotangent of an angle, we can use the following formula:

cot(x) = 1 / tan(x)

Since we want to find cot(235.6°), we can find tan(235.6°) first and then take the reciprocal.

Using a scientific calculator or software, we can find

tan(235.6°) ≈ -1.0529

Now, we can take the reciprocal to find cot(235.6°):

cot(235.6°) ≈ 1 / (-1.0529) ≈ -0.9503

Therefore, the decimal approximation for cot(235°36') is approximately -0.9503.

for such more question on fraction

https://brainly.com/question/28372533

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