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?


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2.8

Step-by-step explanation:

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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

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HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE



Please help me answer!

Answers

Answer:

what is the question?

Step-by-step explanation:

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.

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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? ​

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Answer:

catherine has 16 card and sam also has 16 card

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:

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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 settlement at Jamėstowi began in 1607. This was
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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

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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.

can anyone help me solve this?

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Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

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.

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What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
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Step-by-step explanation:

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PART A

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

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

PART B

As, 20 × 3 = 60 seconds

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Answer:

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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

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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

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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

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First answer gets Brainliest!

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Answer: 10 - 6x

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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

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2) 215

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

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Answer:

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Step-by-step explanation:

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Answers

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

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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

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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

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

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Answer:

88/ 2π

Step-by-step explanation:

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