Mr. Ramirez purchased 50 concert tickets for a total of $575. The concert tickets cost $15 for adults and $10 for children under the age of 12.

Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children.

Answers

Answer 1
Answer: He purchased 15 adult tickets and 35 child tickets.

Explanation:
a = adult tickets
c = child tickets

a + c = 50
15a + 10c = 575

The first equation can be rearranged and substituted into the second equation.

a = 50 - c
15(50 - c) + 10c = 575
750 - 15c + 10c = 575
750 - 5c = 575
-5c = -175
c = 35

The value of c can be substituted into either one of the original equations to find a.

a + c = 50
a + 35 = 50
a = 15

Check:
a + c = 50
15 + 35 = 50
50 = 50

15a + 10c = 575
15*15 + 10*35 = 575
225 + 350 = 575
575 = 575

Related Questions

x ft
x ft
Bedroom
5 ft
Closet
5 ft
6 ft
Bathroom

Answers

Answer:

bedroom is 12ft which is equal to 6ft on left of bathroom if we add 6 +6=12 because it is rectangle and bathroom is square and square have 4 equal sides so both sides are 12ft

Make y the subject of this equation:
P-3=qy

Answers

Answer: (P - 3)/q = y

Given the Quadrilateral pictured below. What is the
value of "X"?

Answers

Answer:

Value of x is used to consider unknown value.

Step-by-step explanation:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.

What are the values of v and w ?

Answers

Apply the same thing here from the other question. V = 36.

36 + 36 + w = 180

72 + w = 180

W = 108




is my answer correct ??

pls check!!!


asap!



math geniuses!!

Answers

Answer:

(b) part is answer.

may it will help you.

Solve the problem

I will mark Brainlyest

Answers

Answer:

X=12

A=62

B=48

Step-by-step explanation:

180=70+(4x)+(x+50)60=5x 12=x

A: 12+50=62

B: 4×12 =48

{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }

{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }

{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }

{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }


which is not a function and which is a function?

Answers

{(2, 2),(4, 4),(6, 6),(8, 8)} Is a function.

{(0, 3),(3, 5),(5, 6),(8, 4)} Is a function.

{(1, 2),(3, 3),(4, 8),(6, 3)} Is a function.

{(3, 4),(5, 2),(5, 6),(7, 3)} Is not a function.

For a relation to be a function, every x value must have only one y value.

I already answered this, but I ain't sure ‘bout the answer that I got. So, I need clarifications, can you solve this for me please? ​

Answers

Step-by-step explanation:

35x׳/7 = (35x×⅕)+(35x×1/x)

15x=7x+35

8x=35

x=4.375.

hope this helps you.

Solution:

[tex]35x( \frac{3}{7} = \frac{1}{5} + \frac{1}{x} ) \\ = > 35x \times \frac{3}{7} = > 35x \times \frac{1}{5} + 35x \times \frac{1}{x} \\ = > 5x \times 3 = 7x + 35 \\ = > 15x = 7x + 35 \\ = > 15x - 7x = 35 \\ = > 8x = 35 \\ = > x = \frac{35}{8} \\ = > x = 4.375[/tex]

Answer:

x = 4.375

[tex]7x^{3} * 7x^{5}*7x^{2}[/tex] ?

Answers

[tex] {7x}^{3} . \: {7x}^{5} . {7x}^{2} \\ 343 {x}^{3} {x}^{5} {x}^{2} \\ 343 {x}^{10} \\ [/tex]

[tex]7x^3\cdot 7x^5\cdot 7x^2 =(7)^3\cdot x^{2+3+5} =343x^{ {10}}[/tex]

Simplify this expression (square root 2+square root 3)(square root 5-square root 7)

Answers

Answer:

√10−√14+√15−√21

Step-by-step explanation:

Answer:

√10−√14+√15−√21

Step-by-step explanation:

Correct on Edge 2022

x²+10+7=0 by completing the square

Answers

Answer:

x=−5+3–√2

x=−5−3–√2

Step-by-step explanation:

How do you turn a whole number into a fraction

Answers

Answer: To convert a fraction into a whole number: Divide the numerator by the denominator, only if the numerator is a multiple of the denominator. Let us see an example of this conversion.

this is for algrebra so it might not be what you are looking for

Multiply. What is the product?

[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)

Answers

Answer:

- 5198/11

Step-by-step explanation:

Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?

Answers

Answer:

Yes they are rational numbers

Step-by-step explanation:

Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

What are rational numbers?

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminating decimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

Also, Learn more about rational numbers from the link below:

https://brainly.com/question/24398433

#SPJ2

=;
Trick Question!
9 < X^2< 99
Max. - Min. = ???

Answers

Answer:

3 < X < 3√11

-3√11 < X < -3

Step-by-step explanation:

The solution consists out of two intervals, so it is unclear what you want calculated with max - min...

plsssssssssssss answer

Answers

Answer:

Step-by-step explanation:

104         x

----      =  ---

50          60

Cross multiply 104 by 60. 6240 is your answer.

Your new equation is 6240 = 50x.

Divide both sides by 50. 6240/50 = x

x = 124.8 mph (miles in one hour)

Alycia tried to prove that \triangle OPQ\cong \triangle STR△OPQ≅△STRtriangle, O, P, Q, \cong, triangle, S, T, R. Statement Reason 1 OP=ST=4OP=ST=4O, P, equals, S, T, equals, 4 Given 2 \overleftrightarrow{OP}\parallel\overleftrightarrow{ST} OP ∥ ST O, P, with, \overleftrightarrow, on top, \parallel, S, T, with, \overleftrightarrow, on top Given 3 \angle O\cong\angle S∠O≅∠Sangle, O, \cong, angle, S When a transversal crosses parallel lines, alternate interior angles are congruent. 4 \triangle OPQ\cong \triangle STR△OPQ≅△STRtriangle, O, P, Q, \cong, triangle, S, T, R Side-angle congruence What is the first error Alycia made in her proof? Choose 1 answer: Choose 1 answer: (Choice A) A Alycia used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Alycia only established some of the necessary conditions for a congruence criterion. (Choice C) C Alycia established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Alycia used a criterion that does not guarantee congruence.

Answers

Answer: D-Alycia used a criterion that does not guarantee congruence

Step-by-step explanation:

When would the tail of a comet appear to become longer?(1 point)

as it gets farther from Earth

as it gets closer to Earth

as it gets closer to the sun

as it gets farther from the sun

Answers

Answer:

As it gets closer to the sun

Step-by-step explanation:

just trust me

The tail of comet will appear to become longer : (c) as it gets closer to sun.

The tail of a comet becomes longer and more pronounced as it gets closer to sun. Comets are made up of ice, dust, and volatile gases. As a comet approaches the sun, the sun's heat causes the ices within the comet to vaporize, creating a glowing coma (a cloud of gas and dust) around the nucleus.

The solar wind and radiation pressure then push the gas and dust particles away from the coma, forming the tail that points away from the sun due to the solar wind's influence. This tail becomes more visible and elongated as the comet gets closer to the sun, making it a sight in night sky.

Therefore, the correct option is (c).

Learn more about Comet here

https://brainly.com/question/29913698

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The given question is incomplete, the complete question is

When would the tail of a comet appear to become longer?

(a) as it gets farther from Earth

(b) as it gets closer to Earth

(c) as it gets closer to the sun

(d) as it gets farther from the sun

if x=1 and y =-2 what's 3(2-x)+4(3-y)
explanation please​

Answers

Answer:

23

Step-by-step explanation:

A theater has 30 rows of seats. There are 22 seats in the first row, 26 in the second row, 30 in the third row, etc. How many people will the theater hold ?

Answers

Arithmetic Sequence

rows ---------32-n

first term ------------26-----------a

d---------------------------4

Sn = n/2( 2a+(n-1)d)

=32/2 (2*26+(31)4)

=16(52+124)

=16(176)

=2816 seats

If theater has 30 rows of seats, then the number of people that the theater will hold is 2400 people.

To find out how many people the theater will hold, we need to calculate the total number of seats across all 30 rows. Since the number of seats increases by 4 for each successive row, we can treat this as an arithmetic sequence.

The formula to find the sum of an arithmetic sequence is = (n/2) × (first term + last term),

where n = number of terms and the first and last terms are given,

In this case : First term = 22,

Last term = 22 + (30 - 1) × 4 = 22 + 116 = 138,

Number of terms (rows) = 30,

Sum = (30/2) × (22 + 138) = 15 × 160 = 2400;

Therefore, The theater will hold 2400 people.

Learn more about Arithmetic Sequence here

https://brainly.com/question/34721740

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Solve for x step by step: 2(n+5)=-2

Answers

The answer is -6

Step 1: Simplify both sides of the equation.
(2)(n) + (2)(5) =-2
2n + 10 = -2
Step 2: Subtract 10 from both sides.
2n+10−10=−2−10
2n = -12
Step 3: Divide both sides by 2.
2n/2 = -12/2
N=-6

Solve and graph x - 2 > -5 and x - 2 < 4 on a number line

Answers

Answer:

dont take my word for it but

Step-by-step explanation:

x<-7

115.6 is what % of 340

Answers

Answer:

34

Step-by-step explanation:

115.6/340 = 0.34 x 100 = 34 percent

Proportional quantities are always in the same _______________.

Answers

Answer:

unit

Step-by-step explanation:

proportion are always in same unit

e.g 100m/50m = 1m/2m

can someone simplify this question? 6+6x ≤ 7x+10 ≤ 10-5x

Answers

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

May I please receive help?

Answers

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1:

-5y = 3x + 7

y = -3/5x - 7/5

Line 2:

y = -5/3x + 8

Line 3:

6x - 10y = -4

-10y = -6x - 4

y = 3/5x + 2/5

Line 1 and Line 2 are neither perpendicular nor parallel. While their slopes are reciprocals of each other, the signs are not opposite (both are negative).

Line 1 and Line 3 are neither perpendicular nor parallel. While the slope itself is the same, the signs are different.

Line 2 and Line 3 are perpendicular. Their slopes are opposite reciprocals of each other.

Hope this helps!! :)

Please help, I’ll mark your answer as brainliest!

Answers

The answer would be -5a

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

I'm guessing 60km.

Step-by-step explanation:

So per hour,

45km÷3=15km/h

Thereof,

In 4 hours,

15×4=60km.

He will bike 60 km bc in 3 hours was 45 45/3 is 15 so add 15 each hour

Solve to find X. 1/5(x - 2) = 1/10 (x + 6)

Answers

Answer:

x = 10

Step-by-step explanation:

First, distribute:

[tex]\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}[/tex]

Next, subtract [tex]\frac{1}{5}x[/tex] from both sides:

[tex]-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}[/tex]

(multiply [tex]\frac{1}{5}x[/tex] by 2 to get common denominator, [tex]\frac{2}{10} x[/tex] )

[tex]-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}[/tex]

Next, subtract [tex]\frac{6}{10}[/tex] from both sides:

[tex]-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x[/tex]

(multiply [tex]\frac{2}{5}[/tex] by 2 to get common denominator, [tex]\frac{4}{10}[/tex] )

[tex]-\frac{10}{10} =-\frac{1}{10} x[/tex] ⇒ [tex]-1=-\frac{1}{10} x[/tex]

Next, multiply both sides by 10:

[tex]-10=-x[/tex]

FInally, divide both sides by -1:

x = 10

Answer:

Step-by-step explanation:

1/5(x-2) =1/10(x+6)

1/5x-2 = 1/10x+0.6

1/5x+1/10x= 0.6-2

0.2x+0.1x= -1.4

0.3x= -1.4

x= -4.67

x= -4.7

x= -5

Plzzzzzzzz help with your own handwritten picture

120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]

Answers

This is what I got Hope the helped!!

Answer:
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