1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Korolek [52]
3 years ago
11

Need help with this problem:

Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

<em>Henson: 3x + y = 163</em>

<em>Garcia: 2x + 3y = 174</em>

<em>adult ticket price: $45</em>

<em>child ticket price: $28</em>

Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3<em>y</em> = 174

2x + 3(<em>163 - 3x</em>) = 174

2x + 489 - 9x = 174

-7x + 489 = 174

-7x = -315

x = 45

Now substitute 45 for x in the first original equation and solve for y.

3x + y = 163

3(45) + y = 163

135 + y = 163

y = 28

adult ticket price: $45

child ticket price: $28

You might be interested in
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
Someone gud at math plss
anastassius [24]

Answer:

Mark Me Brainliest !

Answer:

P - 28 = C

Explanation:

P (Regular Price  )

C ( Cost Savings )

You Noticed These Jeans You Liked.

You Couldn't Afford Them So You Waited Til The Price Dropped.

When Prices Drop Its Either 1 of 2 Reasons

Holiday Seasons Or Price Elasticity

So These Jeans Become $28 On The Market.

Simply You Figure Out How Much You'll Save By Comparing The Original Price To The Discounted Price.

There For Your Answer Will Be The Following :

Regular Price - Discounted Price = Cost Savings

7 0
3 years ago
PLEASE HURRY <br> Solve for x -2(x + 4) = 16
Hatshy [7]

Answer:

=−24 hope this helps!!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ali bought three pieces of fruit with the following weights, 8.712 grams, 14.125 grams, and 21.926 grams. What is the best estim
elixir [45]
44. 76 grams. you just have to add up the weights!
8 0
1 year ago
Please help me with this im really stuck​
makvit [3.9K]
THE ANSWER IS: y = -x+9

y=mx+b
m=slope=(y2-y1)/(x2-x1)
use the points (0,9) and (9,0)
(0-9)/(9-0) = -9/9 = -1
so m=-1

b is the y-intercept which is where x=0
the line crosses the y axis at y=9
so b=9

plugging in m and b into y=mx+b,
you get y=-x+9
3 0
3 years ago
Other questions:
  • Please help! thank you
    6·1 answer
  • the height of an airplane as it descends to an airport runway is it rational ,integers, whole ,or irrational?
    13·1 answer
  • Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
    8·1 answer
  • Need help solving. Prefer you show each step in solving.
    5·1 answer
  • F(x) = 2x + 6, and g(x) = x2 + 6, find (g ○ f)(1)
    6·2 answers
  • Is 1 a rational number?
    9·1 answer
  • What is the value of the function at x = −3?
    12·2 answers
  • HELPPPPPPPPPPPP PLEASEEEE?
    15·1 answer
  • -7/9 greater or less than -5/8 help me quick!!
    11·1 answer
  • Find the product: 42.6 × 15.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!