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3 years ago

8

Jean noticed that the tar pit bubbled more on warm days than on cool days or at night. Is the air temperature the dependent vari

able or the independent variable?
A. Independent
B. Dependent

1 answer:

andreev551 [17]3 years ago

6 0

It's indepentent. In fact, the tar pit's temperature DEPENDS (dependent variable) by the air's temperature (independent variable).

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Jason went to a carnival where he could goon all rides for a flat fee of $30 but he had to pay $2 for each arcade game he played

enot [183]

Answer:

He played 7 arcade games.

Step-by-step explanation:

The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

$A(n) = F + gn$

In which F is the flat rate and g is the price of each game.

Flat fee of $30 but he had to pay $2 for each arcade game he played.

This means that $F = 30, g = 2$

So

$A(n) = 30 + 2n$

Jason spent $44. How many arcade games did he play?

This is n for which A(n) = 44. So

$A(n) = 30 + 2n$

$44 = 30 + 2n$

$2n = 14$

$n = \frac{14}{2}$

$n = 7$

He played 7 arcade games.

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3 years ago

When a new TV became available in a store, the number sold in the first week was high. Sales

tamaranim1 [39]

Answer:

The way you would sketch the graph is slowly increasing, staying about the same, and then go up a little bit.

Good luck!

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3 years ago

A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels

Anika [276]

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

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3 years ago

kondor19780726 [428]

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work

<em><u>Answer:</u></em>

Option D

The height of tree is 20 feet tall

<em><u>Solution:</u></em>

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

$\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}$

This forms a proportion and we can solve the sum by cross multiplying

$\frac{\text{height of tree}}{30} = \frac{6}{9}\\\\\text{height of tree} = 30 \times \frac{6}{9} = 30 \times \frac{2}{3}\\\\\text{ height of tree } = 10 \times 2 = 20$

Thus height of tree is 20 feet tall

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3 years ago

There are 2 girls and 7 boys taking swimming lessons. The ratio that compares the number of girls taking swimming lessons to the

Morgarella [4.7K]

Answer: 2:9, 2 to 9, 2/9

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3 years ago

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