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3 years ago

Cathy travels 6 miles in 10 minutes. How far can she travel in 18 minutes? Write and solve a proportion to answer the question.

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:

10.8 miles

Step-by-step explanation:

Set up a proportion: $\frac{6}{10} = \frac{x}{18}$
Cross multiply, then divide: 18 × 6 = 108
108 ÷ 10 = 10.8
So, Cathy can travel 10.8 miles in 18 minutes.

I hope this helps!

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Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Sarmant Date 3/8/20

gulaghasi [49]

$|6+9x|\le24$

this is the correct way to solve these types of exercises

then we will try to do the same where a is (6+9x) and b is 24

$|6+9x|\le24\longrightarrow-24\le6+9x\le24$

and solve the right inequality for x

$-24\le6+9x\le24$

subtract 6 for all expression

$\begin{gathered} -24-6\le6-6+9x\le24-6 \\ -30\le9x\le18 \end{gathered}$

now divide on 9

$\begin{gathered} -\frac{30}{9}\le\frac{9x}{9}\le\frac{18}{9} \\ \\ -\frac{10}{3}\le x\le2 \end{gathered}$

ok, this means that the x values will be from -10/3 to 2 including these

Graph

solution is the red zone

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1 year ago

You roll a number cube twice. Find the probability of the event. Rolling a 1 then a 2.

kap26 [50]

P( 1) = 1/6
P(2) = 1/6

Probability of 1 then 2 = 1/6 * 1/6 = 1/36

7 0

3 years ago

A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of

marissa [1.9K]

Answer:

the car is very slow

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).

aivan3 [116]

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1). g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

8 0

3 years ago

If we ignore wind resistance the time in seconds it takes for an object to fall S feet by t=1/4[s. Thus an object will fall 100

Nataly [62]

Answer:

The time taken by object to dropped the distance of 1089 feet .

Step-by-step explanation:

Given as :

The distance cover by object to fall = 100 feet

The Time taken by the object to fall = 2.5 seconds

Let the speed of the object = s feet/ sec

Now, Speed = $\dfrac{\textrm Distance}{\textrm Time}$

or, Speed = $\dfrac{\textrm 100}{\textrm 2.5}$

∴ Speed = 40 feet per sec

Now, again

Distance cover by object = 1089 feet

∵ Speed of object = 40 feet per sec

Let The Time taken at 40 feet per sec = t sec

So, Time = $\dfrac{\textrm Distance}{\textrm Speed}$

Or , Time = $\dfrac{\textrm 1089}{\textrm 40}$

or, t = 27.22 seconds

Hence The time taken by object to dropped the distance of 1089 feet . Answer

4 0

4 years ago