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gayaneshka [121]
3 years ago
5

Two different families pay for entry into a water park.

Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

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Sunny_sXe [5.5K]

Step-by-step explanation:

Its additive inverse!

7 0
2 years ago
Read 2 more answers
Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11
quester [9]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

<em>Terminating decimal </em>

<em>A decimal number that contains a finite number of digits after the decimal point is called terminating decimal . </em>

<em>for example 0.123 is terminating decimal as it has finite number of digits after decimal point.</em>

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

4 0
2 years ago
Your answer must be simplified. x−24≥9
Harrizon [31]

Answer:

x>=33

Step-by-step explanation:

x-24>=9

x>=24+9

x>=33

4 0
3 years ago
school taxes for a local district are 2.5% of a households income. the smith household earns 80,000. per year. how much do the s
Galina-37 [17]
2.5 % = 2.5/100 = 0.025

Multiply $80k by 0.025, so$2000 if my mental math serves correctly
4 0
2 years ago
Tentukan persamaan garis yang di wakili ruas garis AB,BC,CD dan AD! <br>tolong kak
Ann [662]

Answers:

1. AB: y = - 2x - 6

2. BC: y = x - 3

3. CD: x = 3

4. AD: y = (3/7) x +26/7


Solution:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)


1. AB

A=(-4,2)=(xa, ya)→xa=-4, ya=2

B=(-1,-4)=(xb, yb)→xb=-1, yb=-4

mab=(yb-ya)/(xb-xa)

mab=(-4-2)/(-1-(-4))

mab=(-6)/(-1+4)

mab=(-6)/(3)

mab=-2

y-ya=mab (x-xa)

y-2=-2(x-(-4))

y-2=-2(x+4)

y-2=-2x-8

y-2+2=-2x-8+2

y=-2x-6


2. BC

B=(-1,-4)=(xb, yb)→xb=-1, yb=-4

C=(3,0)=(xc, yc)→xc=3, yc=0

mbc=(yc-yb)/(xc-xb)

mbc=(0-(-4))/(3-(-1))

mbc=(0+4)/(3+1)

mbc=(4)/(4)

mbc=1

y-yc=mbc (x-xc)

y-0=1 (x-3)

y=x-3


3. CD

C=(3,0)=(xc, yc)→xc=3, yc=0

D=(3,5)=(xd, yd)→xd=3, yd=5

mcd=(yd-yc)/(xd-xc)

mcd=(-4-0)/(3-3)

mcd=(-4)/(0)

mcd= Infinite (Vertical line)

Equation vertical line: x=xc=xd

x=3


4. AD

A=(-4,2)=(xa, ya)→xa=-4, ya=2

D=(3,5)=(xd, yd)→xd=3, yd=5

mad=(yd-ya)/(xd-xa)

mad=(5-2)/(3-(-4))

mad=(3)/(3+4)

mad=3/7

y-ya=mad (x-xa)

y-2=(3/7)(x-(-4))

y-2=(3/7)(x+4)

y-2=(3/7)x+12/7

y-2+2=(3/7)x+12/7+2

y=(3/7)x+(12+7(2))/7

y=(3/7)x+(12+14)/7

y=(3/7)x+26/7


8 0
3 years ago
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