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Lena [83]
3 years ago
12

Help me please!

Mathematics
1 answer:
faust18 [17]3 years ago
6 0

The horizontal distance is 11.25 meters.

Step-by-step explanation:

Step 1:

The gradient of the given road is \frac{4}{15}. The gradient is the ratio of the difference in y values to the difference in x values.

In the given diagram, the difference in y values is given as 3 meters.

The difference in x values is given as x meters.

So if we substitute it with the gradient, we can determine the values of x.

Step 2:

The gradient, \frac{4}{15} = \frac{3}{x}, by cross-multiplying we get

x = (3)(\frac{15}{4} ) = \frac{45}{4} = 11.25.

So the horizontal distance is 11.25 meters.

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Im doing combining like terms with rational coefficients and i have a problem that says 11/12 - 1/6q + 5/6q - 1/3
WINSTONCH [101]
= 11/12 - 1/6q + 5/6q - 1/3
to add like terms, we must first convert 1/3 to a common denominator with 11/12

= 11/12 - 1/6q + 5/6q - 4/12
combine like terms

= (-1/6q + 5/6q) + (11/12 - 4/12)
add/subtract inside each parentheses

= 4/6q + 7/12
simplify 4/6 by 2

= 2/3q + 7/12


ANSWER: 2/3q + 7/12

Hope this helps! :)
7 0
4 years ago
 simplify -6/35 please
mojhsa [17]

Answer:

−0.171428571 or -6/35

Step-by-step explanation:

This is the Simplest form

6 0
2 years ago
Twenty percent of a radioactive substance decays in ten years by what percent does the substance decay each year
kifflom [539]

Answer:

2%

Step-by-step explanation:

20% takes 10 years to decay

To find per year decay, we divide the percentage by the number of years, so we get unit rate of years {per year]. Thus we have:

20%/10 = 2% per year

It's that simple.

Hence, the percentage by which the substance decays each year is 2%

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!
Olegator [25]

Answer:

About 15%

Step-by-step explanation:

Since the weather is good, this means that 500 flights are affected because 50% of the flights experience good weather and 50% of the flights experience bad weather.

there will be 75 flights that are delayed due to causes other than bad weather

if you assume that all of the flights that are not caused by bad weather occur in good weather, then the probability would have to be 75 / 500 = .15 = 15%.

5 0
3 years ago
Read 2 more answers
Sole the proportion
Bess [88]

Answer:

11/6 or 1.8333333333

Step-by-step explanation:

\frac{2x + 1}{6} = \frac{7}{9}

Cross Multiply:

7 x 6 = 42

9 (2x+1)

42 = 9(2x+1)

42 = 18x + 9

Then, isolate the variable. In order to do so, subtract 9 from both sides.

33 = 18x

Now, divide by 18 (to find x)

33/18 =

1.8333333 or 11/6

8 0
3 years ago
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