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

help i don’t get it

Answers

Answer:

2.2+3(3.4)

=2.2+10.2

=12.4

Step-by-step explanation:

The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?

The distance from Jason's house to school is
meters.

Answers

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

can anyone help me solve this?

Answers

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

The settlement at Jamėstowi began in 1607. This was
how many years after Columbus reached the Americas
in 14927

Answers

Answer:

15

Step-by-step explanation:

jamestown really began in 1606 in may and columbos reached america in 1497

the answer is 115 because you have to subtract 1492 from 1607

Put 62%, 0.71, 0.8, 5/8 in ascending order

Answers

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

suppose that a flu virus spreads according to the

Answers

We will All get sick and would have to stay home just like cocos

The distance around the edge of a circular pond is 88m. The radius,in meters,is?

Answers

Answer:

88/ 2π

Step-by-step explanation:

What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
A -5/3
B 3/5
C -1
D 1

Answers

Answer:

-1

Step-by-step explanation:

find the slope and y intercept.​

Answers

Answer:

slope: 2/3

y intercept: -1

Step-by-step explanation:

slope: rise/run

A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?

Answers

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

Sam has 3 more than twice the number of baseball cards that Catherine has. Together Sam and Catherine have 51 baseball cards. How many cards do Sam and Catherine each have? ​

Answers

Answer:

catherine has 16 card and sam also has 16 card

Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy?

Answers

Answer: 25 rulers

Step-by-step explanation:

19.75/.79=25

Answer:

25

Step-by-step explanation:

Divide the total money, by the cost of each product:

$19.75/$0.79=25

How to convert rectangular to polar.

Answers

Answer:

To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ .

I need helpppp with 1-9

Answers

Hi!! What do you need help with? Solving the problems? Or understanding them? Also 1-9 is a bit blurry, so if you could retake it and repost it, I could solve for them. :). But if you don’t want to, don’t worry.

PLS HELP ASAP ITS DUE IN A FEW HOURS ILL GIVE BRAINLKEST THANKS

Answers

The answer is five hours
$75 x 5 = $375
If he worked 4 hours the answer would be $300, which is below the needed amount of $350

1) 5 hours

75×5 = 375

2) 215

475-260 = 215

Hope this helped you-have a good day bro cya)

IF YOU GIVE ME BRAINLIEST YOURE GAY DONT GIVE ME BRAINLIEST

Order the rational numbers from least to greatest
-45/7
9/7
0/7
-4/7
6/7
-7/7

Answers

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

-45/7
-7/7
-4/7
0/7
6/7
9/7
hope it helps

Help me with this problem i am stuck in screenshot

Answers

It will take him 28 minutes.



Please help me answer!

Answers

Answer:

what is the question?

Step-by-step explanation:

PLS HELPP me asap no bots

Answers

PART A

Cutting in one minute = 105 ÷ 3 = 35 cuts

Now for six machine = 35 × 6 = 210 parts.

So, the option C. 210 parts is correct answer.

PART B

As, 20 × 3 = 60 seconds

Parts can be stamped in one minute = 24 × 3 = 72

So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]

So, the option D. 60 minutes is c correct answer

April's unpaid balance is $200.15. Her APR is 15% and she has $80.50 in new transactions. What is her new balance?

Answers

Based on the information given the new balance is $283.15.

Using this formula

New balance=Principal+ [Principal ×(APR/12)]+New transaction

Where:

Principal=$200.15

APR=15%

New transaction=$80.50

Let plug in the formula

Let plug in the formula

New balance=$200.15+($200.15×(0.15/12)+$80.50

New balance=$200.15+$2.50+$80.50

New balance=$283.15

Inconclusion  the new balance is $283.15.

Learn more here: https://brainly.com/question/3653824

Given that ∠3≅∠5 .

Which theorem proves that d∥e?


alternate exterior angles theorem

converse of the alternate interior angles theorem

converse of the alternate exterior angles theorem

alternate interior angles theorem

Answers

alternate interior angles theorem

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

From the given figure ∠3≅∠5.

What are alternate angles?

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

From the given figure, 46° + ∠3 =180°

⇒ ∠3 =134°

∠3 = ∠5 =134° (alternate interior angles)

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

https://brainly.com/question/28380652.

#SPJ2

Mrs. O has $30 to give to students who are doing their best work so far today she has given 1/3 of the money away how much money does she have left?

Answers

Answer: $10

Step-by-step explanation: if helped pls leave a thanks <3

Answer:

$10 left

Step-by-step explanation:

1/3*30=10

Eduardo spent 35% of his time at the theme park on a roller coaster if he was there for eight hours how much time did you spend on roller coasters

Answers

Answer:

2.8

Step-by-step explanation:

I really need help with this question

Answers

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

left side

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

right side

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).

Find the exact value of sin-1 the quantity square root of two divided by two. (2 points)
three pi divided by four
pi divided by three
two pi divided by three
pi divided by four

Answers

Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

[tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = [tex]\frac{\pi }{4}[/tex]

Please help very confusing

Answers

The value of x is 23 because BC and EF are equal

Classify the following polynomial by degree and the number of terms.
3x² - 7

Answers

Answer:

A.) Quadratic binomial

Step-by-step explanation:

The degree of 2 (x²) makes the polynomial quadratic. It is binomial because it contains 2 terms.

The polynomial is:

↬ quadratic binomial

Solution:

We classify polynomials based on the number of terms and the degree,

No. of Terms

monomial - 1 term

binomial - 2 terms

trinomial - 3 terms

polynomial - 4 terms or more

Degree (highest exponent)

first

second (quadratic)

third (cubic)

fourth (quartic)

and so on.

[tex]\pmb{3x^2-7}[/tex] has 2 terms. Its highest exponent is 2, so clearly, we have a quadratic binomial.

Hence, 3x² - 7 is a quadratic binomial.

The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
Enter your answer by filling in the boxes.

Answers

The equation of the parabola is:

(y - 6)² = -12(x +2)

Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.

The equation of a parabola is given by:

(y - k)² = 4p(x - h)

Where (h, k) is the vertex, (h + p, k) is the focus

Given the vertex of a parabola is (-2,6), and its focus is (-5,6).

Hence, k = 6, h = -2;

h + p = -5

-2 + p = -5

p = -3

Hence the equation of the parabola is:

(y - 6)² = -12(x +2)

Find out more at: https://brainly.com/question/21685473

which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!

Answers

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

I NEED HELP THIS IS DUE TODAY ​

Answers

Answer:

Sorry I don't know. My advise take the problem step by step.

Step-by-step explanation:

Step-by-step explanation:

a. (8x³ - 5x² + 4x - 5) - (6x³ - 4x² - x + 2)

= 2x³ - 9x² + 3x - 3

hence, remainder distance is 2x³ - 9x² + 3x - 3.

b. (6x - 3y + 4z - 2m) + (4z - 4y + 5x - 2m)

= 11x - 7y + 8z - 4m

hence, (6x - 3y + 4z - 2m) should be subtracted from (11x - 7y + 8z - 4m) to get (4z - 4y + 5x - 2m)

c. (-1x + 6x² - 2) + (2x² - 3 - 2x)

= 8x² - 5 - 3x

now,

(10x² - 5 + 2x) - (8x² - 5 - 3x)

= 2x² - x

therefore, measure of 3rd side of the triangle is 2x² - x.

e. a² + 1a

f. x(6 - 2x) = 6x - 2x²

g. -2ab ( 3ab² + 2a²b ) = -6a²b³ - 4a³b²

h. -3b

I. -2x

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Other Questions
Mr. smith asks you about his diagnosis of angina pectoris. Which statement by the nurse would be incorrect which would have the least effect on pressure required to move blood through the body What is the answer to the question below, I have been working on it for a while. Plz help!The quotient of 10 times m and 7 What is globalization in business. The Russian Empire's colonial expansion differed fromother Western European empires in which of thefollowing ways? The Russian Empire only colonized areascontiguous to the homeland. The Russian Empire recognized the offspring ofsettlers and native peoples as a new, racially mixedgroup. The Russian Empire permitted missionary activitybut did not actively support it. The Russian Empire relied on the forced labor ofnative people for the transition to commercialagriculture. An electromagnet does not attract a piece of iron.Is it true ? Give reason Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational force between them? (me = 9. 11 10-31 kg, ke = 8. 99 109 Nm2 /C2 , G = 6. 67 10-11 Nm2 /kg2 , and e = 1. 6 10-19 C) a. 2. 3 102 b. 1. 3 1020 c. 3. 1 1022 d. 4. 2 1042. Question 2Which statement best explainswhy the sum of the areas of thetwo white squares in Figure 2 isthe same as the area of the whitesquare in Figure 1?The combined area of the four triangles is equal to the area of the large whitesquare.In each triangle, the length of side a plus the length of side b equals the lengthof side c. That means that a? + b2 = c?.In each figure the total area is equal and the area of the 4 triangles is equal, sothe remaining white area in each figure must also be equal. What does the signer prefer?BreadFruitMilkSoda Mr. Hadleyturns off all of the machinesbecause 3. Beauty calls and givesno warning a deductible of $500 requires ( select the correct answer ) I enjoyed the food, but I didn't like the dessert. Answer:A: simple B: compound C: complex Is the expression 32. 3-3 equivalent to 33.3-27 Explain. if a number became 2.5 times smaller, what precent was it decreased by Convert 1.56x10^30 particles of sodium chloride to grams of sodium chloride Mga Batayang Salik sa pagkakaroon ng pagkakaroon ng kabihasnan 123456pls I need your help IT WOULD REALLY HELP IF U ANSWERED THIS THANK YOU!! This comparison is an example of _______.The fog hung down to the ground like a shroud.'a metaphorpersonificationalliterationa simile 10 cosas que te estresan if the sum of two numbers is 15 and their difference is 7 what is the answer