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Mrac [35]
3 years ago
13

Adult tickets to space city amusement park cost x dollars. children's tickets cost y dollars. the garcia family bought 3 adult a

nd 1 child ticket for $164. the henson family bought 2 adult and 3 children's tickets for $174
Mathematics
1 answer:
3241004551 [841]3 years ago
8 0
A childs ticket = $28 and an adult = $45 
Total Cost to each family is the number of adult tickets bought multiplied by "x" PLUS the number of child tickets bought multiplied by "y" 
Henson's equation = 3x + y = 163 Garcia's equation = 2x + 3y = 174 
using the substitution method we need to express either x or y in terms of the other variable. In this example looking at the Henson equation it is very easy to express y in terms of x. 
Rewrite the Henson equation to make y the subject y = 163 - 3x Substitute this value (163 - 3x) for "y" in the Garcia equation which now becomes 
2x + 3(163 - 3x) = 174 Expand the bracket 2x + 489 - 9x = 174 -7x + 489 = 174 Add 7x and subtract 174 from both sides of the equation 315 = 7x 315/7 = x 45 = x An adult ticket costs $45 Substitute this back into the Henson equation 3 * 45 + y = 163 135 + y = 163 y = 163 - 135 = 28 A childs ticket costs $28 
Check in the Garcia equation 2 * 45 + 3 * 28 = 90 + 84 = 174 = CORRECT 
A childs ticket = $28 and an adult = $45
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38/6 = 19/3
divide 19 by 3 :-

= 6.333....

The 3 is recurring
8 0
3 years ago
a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream
Nonamiya [84]

the coordinates where the bridges must be built is (3,-6) and (6,3) .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

7 0
3 years ago
Answer Is not C<br>please help​
Katyanochek1 [597]

Answer:

B

Step-by-step explanation:

Well since it is arthimetic sequence we know the formula

We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

a_{n}= a _{1}+ d (n-1) \\a_{n}= -12+7(n-1)\\a_{n} = -12+7n-7\\a_{n}= 7n-19

the domain of this is 1,2,3,4.......

range is -12,-5,2,9.......

Therefore answer is B.

5 0
3 years ago
Camila goes out to lunch. The bill, before tax and tip, was $9.20. A sales tax of 3% was added on. Camila tipped 19% on the amou
aleksandrvk [35]

Answer:

$0.276

Step-by-step explanation:

Given data

Bill= $9.20

Tax= 3%

Tip= 19%

Let us find the amount of the tax and the tip

Tax

=3/100*9.20

=0.03*9.2

=$0.276

Amount after sales tax

= 0.276+9.20

=$9.476

Tip

=19/100*9.476

=0.19*9.476

=$1.80044

Therefore the sales tax

=$0.276

4 0
3 years ago
G(t) = 3t+ 4; Find g(−3)
lorasvet [3.4K]

Answer:

t=-5

Step-by-step explanation:

-3=3t+4

-1=t+4

-5=t

6 0
3 years ago
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