The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 640 dollars. How many children and how many adults were admitted?

Answer:

1,1

Step-by-step explanation:

x=1

y=1

if this is substitution then x IS 7y-6 so then you can replace the x in the other problem with 7y-6 but since it is 5x you will need to do 5(7y-6) which is 35y-30-4y=1

add 30 to both sides to get 35y-4y=31

subtract 4y from 35y to get 31y=31 get the y alone by dividing 31 from both sides to get y=1. then replace the y in the problem where the x is already alone to get x=7×1-6

7x1 is 7 so then 7-6=1 and that gives us x=1.

Hope this helped

Answer:

k = 3

Step-by-step explanation:

multiply 11 and 3 and you get 33 and then add 9 which you get 42

Answer:

k = 3

Step-by-step explanation:

[tex]11k+9=42\\\\11k+9-9=42-9\\\\11k=33\\\\\frac{11k}{11}=\frac{33}{11}\\\\k=3[/tex]

True

False - 25% of 50 is 12.5

False - 70% of 80 is the same as 7/10

True

Answer:

3

Step-by-step explanation:

2x+3=9

2x=9-3

2x=6

2    2

x=3

Answer: x = 3

Step-by-step explanation: 2x+ 3= 9

                                             2x +3 -3 = 9 - 3

                                             2x = 6

                                             2x/2 = 6/2

                                             x = 3

Answer:

How many different types of triangles are there?

There are 6 types of triangles.

[tex]\begin{gathered}\end{gathered}[/tex]

Draw and name the 4 different triangles.

[tex]\green\implies[/tex] The diagram of 4 different triangles is in the given pic. So, please check out the attachment.

The name of four triangles are :

[tex]\begin{gathered}\end{gathered}[/tex]

Write the properties of each triangle.

1. Acute-angled Triangle

[tex]\pink\implies[/tex] Each of the angles is below 90⁰, and the sum of those angles is always 180⁰. 

2. Right-angled Triangle

[tex]\pink\implies[/tex] One side being 90⁰, the other angles have to be acute. It is because the addition of all internal angles always produce 180⁰. 

3. Obtuse-angled Triangle

[tex]\pink\implies[/tex] Naturally, the other two angles have to be smaller than an obtuse angle. It is so that the internal sum of all the angles remains 180⁰.

4. Equilateral Triangle

[tex]\pink\implies[/tex] Since the internal angles add up to 180⁰, each angle has to be equal in an equilateral triangle. In this case, each angle of this triangle is 60⁰.

5. Isosceles Triangle

[tex]\pink\implies[/tex] Since two sides have the same length, the third side has to have a different length. On top of that, the angle of the other side is also dissimilar to the previous angles. 

6. Scalene Triangle

[tex]\pink\implies[/tex] In this case, the lengths of the three sides are diverse. However, the sum of dissimilar internal angles also has to be 180⁰. 

[tex]\begin{gathered}\end{gathered}[/tex]

Draw a circle and name the different parts of the circle.

[tex]\green\implies[/tex] The diagram of circle is in the given pic. So, please check out the attachment.

Parts of circle :

A circle can have different parts and based on the position and shape, these can be named as follows:

[tex]\begin{gathered}\end{gathered}[/tex]

Find the relationship between radius and diameter.

[tex]\pink\implies[/tex] The relationship between radius and diameter is the diameter of a circle is twice of its radius.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

Example:

4X + 5Y = 9

5X -  4Y = 1

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

Multiplying to produce the LCM factors:

16X + 20Y = 36

25X -  20Y = 5

Adding the equations

41X = 41

X = 1

Substitution into either equation yields

Y = 1

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

Answer:

0.3kg(300g)

Step-by-step explanation:

£1=100p

£5=500p

5p=3g

500p=x

x=500*3/5

x=300g

Step-by-step explanation:

£5 in pence is 500p

The number of 5p coins in 500p is:

500/5 = 100 (5p coins)

each 5p coin weighs 3g

therefore the £5 weighs in grams:

3x100 = 300g

To change to Kg: 300/1000 = 0.3 Kg

Answer:

the volume of cylinder = πr²h

h = 5cm

r = 6cm

volume = π × 6² × 5

= π × 6 × 6 × 5

= 180πcm³

Answer:

9sweets

Step-by-step explanation:

sweets man has to give to his son=x

mans sweets=25-x

child's sweets=55=x

55+x=4(25-x)

55+x=100-4x

4x+x=100-55

5x=45

x=45/5

x=9

Answer: The man has to give nine sweets for his son to have four times as many sweets as him.

3. the answer is 8

6. the answer is 7

Answer:

48/8=6

56/7=8

Step-by-step explanation:

48÷ 8 = 6

56÷ 7 = 8

Answer:

Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.

Step-by-step explanation:

domain refers to x values.

range refers to y values.

Answer:

[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]

Answer:

(A,1) (A,2) (A,3) (A,4) (B,1) (B,2) (B,3) (B,4)

Hope that helped?

Answer:

-32 or 4x -8

Step-by-step explanation:

-2 ( -3x + 2 ) : 6x - 4

= 6x -4 - 2 ( x + 2 )

- 2 ( x + 2 ) : - 2x -4

=6x - 4 - 2x - 4

= 6x -2x - 4 - 4

= 6x - 2x - 8

= 4x - 8

= -32  

( Im not really sure what is the answer )

( the "x" is alphabet, not "times" )

Answer:

19

Step-by-step explanation:

Based on what I understood from your question,

Value of x has been given = 12

So if we substitute or place that value in the given equation x + 7

=> 12 + 7 = 19

Hope I got it right.

Answer:

689/1000

hope this helped

Truck (2 or 3 axles): $3.00

Truck (4 or 5 axles): $6.25

Truck (6 or more axles): $10.00

Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge

What we need to find:

Part a: an expression that represents the first passing of the 4 trucks and

a solution to the the first expression

Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.

Part a:

3(6.25)+1(10.00)

3(6.25)+1(10.00)=$28.75

Part b:

2[3(6.25)+1(10.00)]

2[3(6.25)+1(10.00)]=2[28.75]=$57.50

Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

Hope you have a great day

Answer:

$12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

and 12 + 0.60 = 12.60

Hope it makes sense

Answer:

1.666666666666666666666666666666666666666666666666666

Step-by-step explanation:

Answer:

32p + 24

Step-by-step explanation:

Distribute the 8 to each term

8 * 4p = 32p

8 * 3 = 24

Answer:

. 2 m/s

Step-by-step explanation:

Speed is defined as the rate of change in distance per time.

in this case you can simply observe the graph to get the final and initial distances & time.

The motion starts from 0 and moves to 2 if you look at the y axis of the graph.

Thus, the initial distance is 0m & the final distance is 2m

The time is specified in the question to have an initial of 0 sec and a final of 1 sec.

now let's plot our values out as a given.

S1 = 0m t1 = 0 sec

S2 = 2m t2 = 1 sec

and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t

∆S = S2 - S1 = 2m - 0m = 2m.

∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.

∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)

Answer:

  ab/2 +3c

Step-by-step explanation:

Maybe you want to translate this to an algebraic expression.

__

The product of a and b is written ab.

Half that can be 1/2ab or ab/2. The latter tends to be less ambiguous.

Thrice c is 3c.

So, your expression is ...

  ab/2 +3c

Therefore, the area of the triangle is 4/9 cm².

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

A and F

Step-by-step explanation:

Answer:

8.9k

Step-by-step explanation:

Perimeter is the area around the object.

1.8k - 5 + 3.5 + 6.1k + k + 1.5

Combine like terms:

1.8k + 6.1k + k = 8.9k

-5 + 3.5 + 1.5 = 0

Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k

Hope that helps

Answer:

Step-by-step explanation:

Answer:

nonlinear

Step-by-step explanation:

Answer:

10

Step-by-step explanation: