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vlada-n [284]
3 years ago
12

The Robinson family and the Moore family are going on a day trip to visit the Square Caverns on Monday. The Robinson family has

2 parents and 4 children and paid $75 for admission. The Moore family has 2 parents and 3 children and paid $60. If x represents the admission price of each parent and y represents the admission price of each child, which is a system of equations that could be used to determine the admission price of an adult ?
Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

admission price of each parent = $7.5

admission price of each child = $15

Step-by-step explanation:

x = admission price of each parent

y = admission price of each child

Robinson family:

2x + 4y = 75

Moore family:

2x + 3y = 60

2x + 4y = 75 (1)

2x + 3y = 60 (2)

Subtract (2) from (1)

4y - 3y = 75 - 60

y = 15

Substitute y = 15 into (1)

2x + 4y = 75

2x + 4(15) = 75

2x + 60 = 75

2x = 75 - 60

2x = 15

x = 15/2

x = 7.5

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3 years ago
Help!! Answer !!! about to run out of time in test!!
Gemiola [76]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

Let's find the measure of hypotenuse first, by using Pythagoras theorem ;

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {8}^{2}  +  {6}^{2}

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {36}^{}  +  {64}^{}

\qquad \sf  \dashrightarrow \: h {}^{2}  = 100

\qquad \sf  \dashrightarrow \: h {}^{}  =  \sqrt{100}

\qquad \sf  \dashrightarrow \: h {}^{}  =  {10}

Now, let's find the asked values ~

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{opposite \: side}{hypotenuse}

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{6}{10}

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{3}{5}   \: or \: 0.6 \: units

For Cos y :

\qquad \sf  \dashrightarrow \:  \cos(y) =  \dfrac{adjcant \: side}{hypotenuse}

\qquad \sf  \dashrightarrow \:  \cos(y)   = \dfrac{6}{10}

\qquad \sf  \dashrightarrow \:  \cos(y)   = \dfrac{3}{5}  \: or \: 0.6 \: units

As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.

I.e Sin x = Cos y

Hope it helps ~

3 0
3 years ago
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atroni [7]

Slope-intercept form:

y = mx + b        "m" is the slope


First i would isolate the "y" in the equation.

2x + y = 4       Subtract 2x on both sides

2x - 2x + y = 4 - 2x

y = 4 - 2x    or     y = -2x + 4

The given line's slope is -2.


For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2


The given line's slope is -2, so the perpendicular line's slope is 1/2.

The 3rd option is your answer

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3 years ago
5. If 1/4 inch represents 5 yards, the number of inches needed to show a football field 100yards long is:​
alexdok [17]

Answer:

The answer is 20/80.

Step-by-step explanation:

1/4=5 yards

? =100 yards

100÷5=20

1/4×20

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4 0
2 years ago
Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.
Marat540 [252]

Answer:

$15.17

Step-by-step explanation:

divide 34 by 32 = 1.0625. and divide it by the 7%= $15.17

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4 years ago
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