Help Please! Write each repeating decimal using bar notation.1) 0.999...
2) 5.92111...
3) 2.010101...
4) 13.1464646...
5) 26.993993...
6) 30.6841841841...

Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal.

1) 3/8
2) 4/5

Help please! & thanks!!!

Answers

Answer 1

Answer: So,

(v) = vinculum or "bar"
1. 0.9999... = .9(v)

2. 5.921(v) over the 1

3. 2.01(v) over the 01

4. 13.146(v) over the 46

5. 26.993(v) over the 993

6. 30.6841(v) over the 841

Part B

1. 3/8 = 0.375 (not repeating)

2. 4/5 = 0.80 (not repeating)

Answer 2

Answer: $0.\overline{9}\n5.92\overline{1}\n2.\overline{01}\n13.14\overline{64}\n26.\overline{993}\n30.6\overline{841}\n\n(3)/(8)=(375)/(1000)=0.375\n(4)/(5)=(8)/(10)=0.8$

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Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12.

Answers

Answer:

Step-by-step explanation:

x = pens and y = pencils

4x + 5y = 6.71....multiply by 5

5x + 3y = 7.12....multiply by -4

--------------------

20x + 25y = 33.55 (result of multiplying by 5)

-20x - 12y = - 28.48 (result of multiplying by -4)

--------------------add

13y = 5.07

y = 5.07 / 13

y = 0.39 <=== cost of a pencil

4x + 5y = 6.71

4x + 5(0.39) = 6.71

4x + 1.95 = 6.71

4x = 6.71 - 1.95

4x = 4.76

x = 4.76/4

x = 1.19 <==== cost of a pen

Please, I'm confuse! Farmer Ted has an isosceles right triangular garden. He is planning to increase the size of his garden by making one leg 7 feet longer and the other leg 5 feet longer. The area of Ted’s new garden will be 55 square feet larger than the original garden. How long were the original legs of the garden?

Answers

OK. You asked for it. Here we go.
First, let's gather up the tools we might use ...
some things that we know about triangles:

-- Every triangle: Area = (1/2) x (length of the base) x (the height)

-- Isosceles triangle: It has two sides that are the same length.

-- Right triangle: It has one right angle in it.
The sides that meet at the right angle are called the "legs".
They form a corner there, like this    _|   .
-------------------------------------------
Now we can start using these tools to hack away at the problem.
Farmer Ted has an isosceles right triangle garden.
The problem asks us to figure out how long the legs are.

Before he changes anything, it looks like this   _|   and both of
those sides are the same length. Call it 'x' until we figure out
what it really is.

Notice that one of them is the base of the triangle, and the other one
is the height. So the area of this triangle is

                           (1/2) (x) (x) or (1/2) x² .

-------------------------------

Farmer Ted is never satisfied. Suddenly, one day without warning, he
comes along and makes the garden bigger. He makes one of the legs
7 ft longer, and he makes the other one 5 ft longer.

Now the length of one leg is (x + 7) and the other one is (x + 5) .
They're still the base and height of the triangle, so the area of the
bigger garden is
                           (1/2) (x + 7) (x + 5).

The problem says that this area is 55 square feet more than the original
area, so look out, here comes the equation :

                       new area         =      old area + bigger

                (1/2) (x + 7) (x + 5) =      (1/2) x² + 55

Locked in the mysterious shadowy crevices of this equation is
everything we need in order to figure out the original length of the legs ...
what we called 'x'.

At this point, we can forget about Farmer Ted, forget about the garden,
and just go back to our laboratory with this equation and solve it to find 'x'.

Let's take it slow and easy, one little step at a time:

                             (1/2) (x + 7) (x + 5) = (1/2) x² + 55

Multiply each side by 2 :       (x + 7) (x + 5) =   x² + 110

Expand (FOIL) the left side:     x² + 12x + 35 =   x² + 110

Subtract x² from each side:          12x + 35 =   110

Subtract 35 from each side:          12x   =      75

Divide each side by 12 :                         x = 6.25 feet

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

OK. That's a very nice number. How do we know whether it's correct ?
Let's check it out, and see if it fits the story:

Original area = (1/2 x base x height) = (0.5 x 6.25 x 6.25) = 19.53125 sq ft

One new leg = (6.25 + 7) =   13.25 ft
Other new leg = (6.25 + 5) = 11.25 ft

New area = (1/2 x base x height) = (0.5 x 13.25 x 11.25) = 74.53125 sq ft

How much bigger is the new area ?

   74.53125 - 19.53125 = 55 sq ft yay !

When we start with legs that are 6.25-ft and go through the whole story,
the new area is exactly what the problem says it was. So 6.25-ft is the
correct original length of the legs, before Farmer Ted messed with it.

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? A. 0.25 miles per minute
B. 0.09 miles per minute
C. 4 miles per minute
D. 11 miles per minute

Answers

It'll be approx. D. 11 miles per minute.

Its B. just took the test

Larry is given the expression 4058 divided by 54 to evaluate. What is the greatest place value in the quotient? Find the quotient?

Answers

Answer:

4058/54 is equal to about 75.15

the greatest place value is 70 (tens) and the quotient is about 75.15

In which quadrant of the coordinate plane is (a - 2, b + 3), if a = -3 and b = -5?

Answers

It's going to be in quadrant 3

Answer:

its q-2

Step-by-step explanation:

Please Answer!!!!! What is the amplitude of the sinusoidal function m(x)= -3.5 cos x

Answers

Answer:

Amplitude = 3.5

Step-by-step explanation:

The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function.

Given the cosine function $m(x)=-3.5\cos x$

The maximum and the minimum values of the function $y=\cos x$ are 1 and -1, so the maximum and the minimum values of the function $m(x)$ are 3.5 and -3.5.