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4 years ago

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

Mathematics

2 answers:

Nadya [2.5K]4 years ago

5 0

A=adult pay
c=child pay
3a+4c=83
2a+3c=59
subtract
a+c=24
2a+2c=48
2a+3c-2a-2c=59-48
c=11
a=24-11=13
price of adult ticket=13$
price of child's ticket=$11

uysha [10]4 years ago

3 0

Let x and y represent the costs of adult and child tickets, respectively. Then the problem statement gives two relations:
.. 3x +4y = 83
.. 2x +3y = 59
A graph shows the solution to be (x, y) = (13, 11).

The price of a child's ticket is $11.
The price of the adult ticket is $13.

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Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists re

jarptica [38.1K]

Answer: a. This line's slope-intercept equation: y=-9.7x+417.1

b. 31 minutes after the experiment started, there would be <u>116.4</u> grams of gas left.

c. If a linear model continues to be accurate,<u>43 </u>minutes since the experiment started, all gas in the container will be gone.

Step-by-step explanation:

Linear equation: y=mx+c (slope-intercept equation)

, where m= rate of change in y with respect to change in x , c= Initial value.

Let y= Mass of remaining gas after x minutes.

m= -9.7 (given)

At x= 8, y=339.5

Thus,

$339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1$

a. This line's slope-intercept equation: y=-9.7x+417.1

b. At x= 31 minutes

y=-9.7(31)+417.1

⇒ y=-300.7+417.1

⇒ y=116.4

31 minutes after the experiment started, there would be <u>116.4</u> grams of gas left.

c. Put y=0, we get

$0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43$

If a linear model continues to be accurate,<u>43 </u>minutes since the experiment started, all gas in the container will be gone.

8 0

3 years ago

Trudy wants to multiply 66 x 606. She says that all she has to do is find 6 x 606 and then double that number . Explain why Trud

Tcecarenko [31]

Answer:

39996

Step-by-step explanation:

Trudy

(6 x 606) 2 =

3636 x 2 = 7272

Correct

66 x 606 = 39996

5 0

3 years ago

What is the slope-intercept form of the equation 2x + y = 4?

Goryan [66]

<h3>Answer:</h3>

slope intercept form: y = -2x + 4

<h3>Explanation:</h3>

$\sf slope \ intercept \ form: y = mx + b$

where m is slope, b is y-intercept

=============================

$\rightarrow \sf 2x + y = 4$

$\rightarrow \sf y = 4-2x$

$\rightarrow \sf y = -2x +4$

Now, identify slope: -2, y-intercept: 4

6 0

2 years ago

Read 2 more answers

How do you show 0.4 x 8.75 = in work?

Sonbull [250]

The answer is 3.5 please click on the file for work.

6 0

3 years ago

Helpp

Kamila [148]

We will use Pythagorean Theorem:
HC^2=20^2-12^2=400-144=256
HC= $\sqrt{256}$ =16
HD^2=16^2-14^2=256-196=60
HD= $\sqrt{60}$ =7.7459
Answer: HD=7.7 in.

8 0

3 years ago

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

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