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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

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An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Wyatt noticed that the shel
rodikova [14]

Answer:

16cats and 19 birds

Step-by-step explanation:

if we say that x is birds and y is cats we can say that:

4.5x+8.5y=221.5 ( the amount birds and cat both need)

y+x =35 (number of cats and cats)

x=35-y

4.5(35-y) +8.5y= 221.5

157.5-4.5y +8.5y =221.5

4y=64

y= 16

16+x=35

x=19

7 0
4 years ago
What was the median number of posts made?
mariarad [96]

Using it's concept, it is found that the median number of posts made was of 8.5.

<h3>What is the median of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the total number of observations is the sum of the frequencies, hence:

T = 1 + 0 + 3 + 1 + 2 + 1 + 1 + 2 + 3 + 5 + 9 = 28

Even number, hence the median is the <u>mean between the 14th and the 15th elements</u>, of the ordered set, hence:

M = (8 + 9)/2 = 8.5.

To remind, the ordered set is: {0, 1, 1, 1, ..., 8, 8, 8,  9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10}

The median number of posts made was of 8.5.

You can learn more about the median at brainly.com/question/16103295

6 0
2 years ago
Factorise 8x+12<br> ffffffffffdfffdfdfd
bagirrra123 [75]
Answer:
Factor out 4 out 8x-12
= 4(2x-3)
7 0
3 years ago
Read 2 more answers
A carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50. If the equation, C = 4550F + 37.5 ,
Tju [1.3M]

Answer:

Step-by-step explanation:

Given the total cost of the building expressed as;

C = 4550F + 37.5

C is the total cost

F is the length of the fence

Given

C = $352.50

Required

The length of the fence F

Substitute into the formula;

C = 4550F + 37.5

$352.50 =  4550F + 37.5

4550F = 352.50 - 36.5

4550F =  316

F = 316/4550

F = 0.0695 feet

hence 0.0695 feet of fence will cost $352.50

4 0
3 years ago
1/3 of a number is 12 less than the number itself
natulia [17]
Let "x" be a substitute for "a number"

1/3(x)=x-12    Multiply by 3
x=3x-36         Get n onto the same side of the equation
2x=36            Divide by 2
x=18

That's your answer.
5 0
3 years ago
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