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ra1l [238]
3 years ago
5

At a movie theater tickets for children cost 6.5 dollars each and adult tickets cost $8.75 each if tickets sales for a group of

35 people totaled $259 how many children were in this group
Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer:

21 children

Step-by-step explanation: 6.50x+8.75y=259

This equation came from the cost of the tickets for the children and adults.

x+y=35

This comes from the group of 35 people that consists of children and adults.

We can use substitution to solve for x and y.

x=35-y

6.50(35-y)+8.75y=259

227.5-6.50y+8.75y=259

227.5+2.25y=259

2.25y=31.5

y=14

Now that we have found y, we can plug it into any of the equations to find x.

x+14=35

x=21

Therefore, there are 21 children and 14 adults in the group.

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Activity Question 1 When designing a truss, a truss builder might know the base angle measurement and the length of the tie beam
laiz [17]

Answer:

36.87°  

Step-by-step explanation:

Assume the triangles are as in the diagram below.

∠BAC includes ∠DAE.

The measure of ∠BAE is 36.87°.

7 0
3 years ago
Write a function for the tranformations described below:
IrinaK [193]

The function after the transformation has an equation of y = ∛(x - 7) + 5

<h3>How to determine the equation of the transformation?</h3>

The transformation statement is given as

"The cubic function shifts 7 units right and 5 units up."

A cubic function is represented as

y = ∛x

So, the transformations are:

  • Shifts 7 units right
  • Shift 5 units up

Mathematically, this can be represented as

(x, y) = (x - 7, y + 5)

So, we have the following equation

y = ∛(x - 7) + 5

Hence, the equation of the transformation is y = ∛(x - 7) + 5

Read more about transformation at

brainly.com/question/4280198

#SPJ1

8 0
1 year ago
Jaz was 43 inches tall. Eighteen months later, she was 52 inches tall. The constant rate of change for Jaz's height was .
maxonik [38]

Answer:

Constant rate of change for Jaz height will be 0.5 inch per month

Step-by-step explanation:

Jaz present height is 43 inches.

Eighteen months later her height will be 52 inches.

Now we know rate of change will be represented by the formula

Rate of change of height =

=

= 0.5 inch per month

The constant rate of change for Jaz height will be 0.5 inch per month.

Read more on Brainly.com - brainly.com/question/2012372#readmore

7 0
3 years ago
Identify the undefined term that best models each object. a crease in a garment.
zvonat [6]

Answer:#carry on learning

Mark me as brainliest

hope it's help

The three undefined terms are point, line, and plane. Thus, figure D represents an undefined term as it's a line.

3 0
3 years ago
Squareroot(y-1) + 3 = y
jek_recluse [69]
Note:xy means x times y and x(y) means the same thing

so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0



squareroot(y-1)+3=y

isolate the squareroot
subtrac 3 from boht sides

squareroot(y-1)=y-3

square both sides (since they are equal, you should be able to square both sides and still make it true)

(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5

0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0

therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work



let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true

y=5
7 0
3 years ago
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