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MaRussiya [10]
3 years ago
13

The number of miles driven varies directly with the number of hours in the car. Billy drives 171 miles in 3 hours, so he could d

rive _____ miles in 4.5 hours.
Mathematics
2 answers:
olga_2 [115]3 years ago
0 0
Remember that direct variation means that you have a relationship of the form
y=kx

In this case it's a special equation, namely distance=rate*time. So first we have to find the rate given the information in the problem:
171=3r
57=r

Now we know that the rate is constant since Billy's distance varies directly with time. The next step is to find distance given a different amount time:
d=57*4.5

You can finish that one off!
mrs_skeptik [129]3 years ago
0 0

Answer:

Step-by-step explanation:

Amillo

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alexandr402 [8]

Answer:

sorry I'm too nood for that

3 0
3 years ago
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a
maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

18.75= 1.25x +3.75y

Multiply the whole equation by 4 to remove the decimals:

75= 5x +15y

Simplify by dividing the whole equation by 5:

15 = x + 3y

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

x +3y= 15 -----(2)

x= -3y +15

\begin{tabular}{|c|c|c|c|} \cline{1-4}x &  -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0
4 years ago
Read 2 more answers
In the name carbon dioxide, the prefix of the second word indicates that a molecule of carbon dioxide contains
kherson [118]

Answer:

The correct option is B. two oxygen atoms

Step-by-step explanation:

The molecular formula for carbon dioxide is given by :

CO_2

Here, the alphabet C stands for Carbon and the alphabet O stands for Oxygen.

And the prefixes of each of these words represents the number of atoms present of the corresponding element in one molecule of carbon dioxide.

So, The prefix of the first word that is C is 1

⇒ One molecule of carbon dioxide contains one atom of Carbon.

The prefix of the second word that is O is 2

⇒ One molecule of carbon dioxide contains 2 atoms of Oxygen.

Therefore, The correct option is B. two oxygen atoms

7 0
3 years ago
Read 2 more answers
What is -(11+2b) in simplified form?
Stella [2.4K]

Answer and Step-by-step explanation:

To simplify, distribute the negative number.

-(11 + 2b)

<u>-11 - 2b is the answer.</u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

<em><u></u></em>

<em><u>I hope this helps!</u></em>

3 0
3 years ago
Read 2 more answers
Margo paid $550.00 for dance classes. She paid a $50.00 registration fee and $25.00 for each week she was enrolled in the classe
trapecia [35]

Answer:

She enrolled in the dance classes for 20 weeks

Step-by-step explanation:

* Margo paid $550.00 for dance classes

* She paid a $50.00 registration fee

* She paid $25.00 for each week she was enrolled in the classes

* We need to find the number of weeks w she enrolled in the

  dance classes

<u><em>Lets write an equation of these information and solve it</em></u>

∵ The registration fee = $50

∵ The cost of of each week = $25

∵ The number of weeks = w

She will pay $50 plus $25 times the number of the weeks

∴ She paid in the dance classes = 50 + 25 w

∵ She paid $550 for the dance classes

∴ 50 + 25 w = 550

The equation is 50 + 25 w = 550

<u><em>Lets solve the equation</em></u>

∵ 50 + 25 w = 550

Subtract 50 from both sides

∴ 25 w = 500

Divide both sides by 25

∴ w = 20

∵ w represents the number of the weeks

∵ w = 20 weeks

<em>She enrolled in the dance classes for 20 weeks</em>

5 0
3 years ago
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