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Nataly_w [17]
3 years ago
14

1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba

g of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation

.................> linear equation

To sketch the graph first we need to find two points on it.

EXAMPLE

put x=0, we get y=10

put y=0, we get x=6

Thus, we have points (0,10) and (6,0), now sketch a line through it .

Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.

The slope of the graph is

Step-by-step explanation:

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An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo
Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = \sqrt{A^{2} + B^{2} -2AB   cos(c)  }

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = \sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60)  }

C = \sqrt{250000 + 90000 - [215000   cos(60)  }]

C = \sqrt{340000 - [215000 * 0.5  }]

C = \sqrt{340000 - [107500  }]

C =\sqrt{232500}

C = 482 km

The bearing can be gotten by using the Sine Rule.

\frac{sina}{A} = \frac{sinc}{C}

sina/500 = sin60/482

482 sina = 500 sin60

sina = \frac{500 sin60}{482}

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0
3 years ago
I need help plzzzz!!!!!!!!:)
Mila [183]

Answer:

B: y = -2/3x - 10/3

Step-by-step explanation:

The point is at (-2,-2), therefore when you input -2 into the desired equation, it should yield -2 as our output. If we use the equation B, the equation becomes

-4/3 - 10/3 which is -6/3. After dividing it we get -2 as the output.

To find the line yourself we use the point slope formula

y - y1 = m(x - x1)

The line is parallel to the one on the graph so the slope or <em>m</em> is equal to -2/3

We input the coordinates we want for y1 and x1.

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

y + 2 = -2/3x - 4/3

y + 6/3 = -2/3x - 4/3

y = -2/3x - 10/3

3 0
2 years ago
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Nate and Maya are building model cars. Maya's car is 3 inches less than 2 times the length of Nate's car. The sum of the lengths
Leni [432]

Answer:

Option D.) x + 2x − 3 = 26

Step-by-step explanation:

Let

x ------> the length of Nate's car

y ------> the length of Maya's car

we know that

x+y=26 -----> equation A

y=2x-3 ----> equation B

substitute equation B in equation A and solve for x

x+(2x-3)=26

3x=26+3

x=29/3 in

Find the value of y

y=2(29/3)-3

y=(58/3)-3

y= 49/3 in

4 0
3 years ago
Read 2 more answers
For each graph below, state whether it represents a function.
valina [46]
Graph 1 and 3 are the only functions
6 0
3 years ago
9x+3y+12y-0.9x=9x+(-0.9x)+3y+12y The equation is Commutative Property.. How did they get that second equation?
kozerog [31]
Oh how I miss the days when math was as simple as 2+2=4. 

Educated guess here: By putting parentheses. 
3 0
3 years ago
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