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.

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.

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

Answer:

23

Step-by-step explanation:

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

Step-by-step explanation:

{(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.

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

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

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.

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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...

Answer:

unit

Step-by-step explanation:

proportion are always in same unit

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

Answer:

I'm guessing 60km.

Step-by-step explanation:

So per hour,

45km÷3=15km/h

Thereof,

In 4 hours,

15×4=60km.

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

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.

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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)

Answer:

34

Step-by-step explanation:

115.6/340 = 0.34 x 100 = 34 percent

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!! :)

Answer: (P - 3)/q = y

Answer:

(b) part is answer.

may it will help you.

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

[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]

Answer:

x=−5+3–√2

x=−5−3–√2

Step-by-step explanation:

Answer:

- 5198/11

Step-by-step explanation:

Step-by-step explanation:

35x׳/7 = (35x×⅕)+(35x×1/x)

15x=7x+35

8x=35

x=4.375.

hope this helps you.

[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]

x = 4.375

Answer:

dont take my word for it but

Step-by-step explanation:

x<-7

Answer:

X=12

A=62

B=48

Step-by-step explanation:

A: 12+50=62

B: 4×12 =48

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).

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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

Answer:

√10−√14+√15−√21

Step-by-step explanation:

Answer:

√10−√14+√15−√21

Step-by-step explanation:

Correct on Edge 2022