I'm confused on case 3 sea level

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 132.

laiz [17]

Let a=price of adult ticket
let c=price of a child's ticket
start out by writing the following system of equations:
3a+4c=132
2a+3c=94
then, multiply the first equation by 2, and the second equation by 3 to get the following system of equations:
6a+8c=264
6a+9c=282
subtract the like terms to get the following equation:
-c=-18
divide both sides by -1 to get rid of the negative to get the price of a child's ticket to be $18. to find the price of an adult ticket, pick one of the original equations to substitute the 18 in for c to find a. for example:
2a+3c=94
2a+3(18)=94
2a+54=94
-54 -54
2a=40
2 2
a=20

or if you decide to use the other equation:
3a+4c=132
3a+4(18)=132
3a+72=132
-72 -72
3a=60
3 3
a=20
either way, you still get an adults ticket to be $20 and a child's ticket to be $18.

8 0

3 years ago

a tap can fill a bucket in 2 minutes, another in 3 minutes. If both are turned on how long does it take to fill the bucket?

Rama09 [41]

Answer:

It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.

Step-by-step explanation:

One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
Both together fill 1/2+1/3=5/6 of the bucket in one minute.
If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
They can fill the bucket (6/6) in 1+1/5 minute
This is 1 minute 12 seconds

6 0

3 years ago

QUESTION 1) Line M passes through the points (-4, -11) and (3, 3). Line N passes through the points (5, -2) and (-6, 9). Which o

7nadin3 [17]

Answer:

Yes, lines M and N intersect because their slopes are different.

Step-by-step explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

(3--11) / (3--4)

(3+11) / (3+4)

14/7

2

Now we know that the slope of Line M is 2.

Slope of Line N:

(9--2) / (-6-5)

11/-11

The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

Hope this helps

4 0

3 years ago

So is anyone good at geometry ive posted this before but i was used for points i need help

SOVA2 [1]

Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property

------------------------------------------------------

Explanations:

Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments

Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD

Explanation for Reason 5: Any segment is congruent to itself; ie, the same length

Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.

8 0

3 years ago

A group of students were asked if they like Math class and if they like English class.

padilas [110]

A if that’s wrong i’m vv sorry

5 0

3 years ago

Read 2 more answers