For each of the fractions below find fractions with denominators power of 10 getting closer and closer to it hence write it decimal form:
a) 1/4
b)1/3
c)23/11

Answers

Answer 1

Answer:

a) 1/4 = 0.25

b) 1/3 ≈ 0.333

c) 23/11 ≈ 2.090

Step-by-step explanation:

To find the fractions with denominators of powers of 10 that correspond to the given fractions, we express each fraction in their decimal form as follows;

a) 1/4 = 1/10×(10/4) = 1/10 × (2 + 2/4)

1/4 - 2/10 = 2/40 = 1/20

1/4 = 1/100 × (100/4) = 1/100 × 25

1/4 = 25/100 = 0.25

Therefore;

1/4 = 25/10² = 0.25

b) 1/3

1/3 = 1/10 × (10/3)

1/3 = 1/10 × (3  + 1/3)

1/3 - 3/10 = 1/30

The 3/10 with a denominator of 10 is closer to 1/3

Similarly, we get;

1/3 = 1/100 × (100/3) = 1/100 × (33 + 1/3)

1/3 - 33/100 = 1/300

The fraction 33/100 with a denominator of 100 is closer to 1/3

We can also get 1/3 - 333/1000 = 1/3000

Therefore; 1/3 ≈ 333/1000 = 0.333

c) 23/11

23/11 = 1/10 × (230/11) = 1/10 × (20 + 10/11)

23/11 - 20/10 = 10/110

23/11 = 1/100 × (2300/11) = 1/100 × (209 + 10/11)

23/11 - 209/100 = 10/1100 = 1/110

23/11 = 1/1000 × (23000/11) = 1/1000 × (2090 + 10/11)

23/11 - 2090/1000 = 10/11000 = 1/1100

Therefore;

23/11 ≈ 2,090/1,000 = 2.09


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Answers

Step-by-step explanation:

I think you are clear. You can follow me to get more answers. Thanks.


In square units, what is the area of the shaded region in the figure above? Round to the nearest tenth.

Answers

Answer:

85.5

Step-by-step explanation:

Solve with substitution. Show each step of your work

4x + y = 12
6x + 2y = 18

Answers

4x + y = 12
Get y by itself
Subtract 4x
y = -4x + 12

Since you know what y is, you can plug the value into the second equation

6x + 2(-4x + 12) = 18
6x - 8x + 24 = 18
-2x = -6
x = 3

Plug the value 3 into x for y = -4x + 12 in order to find y
-4(3) + 12 = y, y = 0

Solution: x = 3, y = 0

6_7/8 + 9_5/16 pls help

Answers

Answer:

it is 16_3/6

Step-by-step explanation:

basic addition.

What does AB equal in this problem? It’s timed

Answers

Answer:

For angle B which is 50 degrees,

hypotenuse = AB =?

Adjacent = BC = 2 units......(given)

cos 50 = adjacent / hypotenuse

0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)

AB * 0.643 = 2

AB = 2 / 0.643

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Answer is 3.11 units

this dot plot is symmetric and the data set has no extreme values what is the best measures of center for this dot plot

Answers

Answer:

Step-by-step explanation:

all i know is that it is not the IQR maybe its the MAD but im not sure

Answer:

It's B

Step-by-step explanation:

I took the test and I got it right. No problem :D

What is the formula for the area of a parallelogram?

A. A= lw2
B. A= 12 lw
C. A=bh
D. A= (b1+b2)2 h

Answers

Answer:

C

Step-by-step explanation:

A=B times H is the same as A=L times W but they both find the area of a parallelogram as well as a rectangle.

A line passes through the points (3, 2) and (6, 1). What is the slope of a line that is perpendicular to this line?

Answers

Answer:

i hope the ans helps you.

Use the distributive property to remove the parentheses.
- 4(5u - 3y-1)

Answers

Answer:

-20u + 12y + 4

Step-by-step explanation:

We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.

When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :

-4(5u - 3y - 1)

(5u(-4) -3y(-4) -1(-4))

-20u + 12y + 4

a^2+b^2= 70?
what is a and b?

Answers

Answer:

a= (square root symbol) 70-b^2

b= (square root symbol) 70-a^2

Step-by-step explanation:

i used m athway :)

Wsg Katara I missed you Fr, everything been going alright? Hit me up when you get the chance.

Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16

Answers

Answer:

[tex]x=4,\:x=0[/tex]

Step-by-step explanation:

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex](x-2)^{2} =4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=0[/tex]

Tell me if it's censored since my wifi is terrible.

If h = 2, what is 3x (4 - h)?​

Answers

Answer:

3x(2)

Step-by-step explanation:

6x

Sorry if I’m wrong

Help please I’ll give points

Answers

Answer:

3 and 8 are supplementary

4 is congruent to 8

3 is congruent to 1

Select the correct answer.
Which of the following sets of ordered pairs represents a function?
A.
{(-12,8), (-15,8), (-5,-8), (-12,-8)}
B.
{(8,-9), (-8,-5), (8,-7), (-8,-6)}
C.
{(13,-3), (13,0), (13,-1), (13,-1)}
D.
{(-9,8), (-5,-8), (-7,8), (-6,-8)}

Answers

Answer: C

Step-by-step explanation: Hope this help :D

Answer:

try c or d?

Step-by-step

rlly EZ PTS JUST do the first 1 and ty

Answers

Answer:

This is a rational expression

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Answers

The answer is 30%
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Evacuate 8+ W/4 when W equals 16

Answers

Answer:

12

Step-by-step explanation:

8+16/4

8+4

7. A survey showed that 55% of a travel company's customers were planning an
overseas vacation the following year. Predict how many of the travel company's 12.400 travelers will vacation
overseas the following year.

Answers

Answer:

It is just .55*12,400

Step-by-step explanation:

thats literally all it is

Answer:

If you Meant (12,400) then around 6,820 planned to travel again

Step-by-step explanation:

how do i work it What are the coordinates of the image of vertex C after a dilation with center (0,0) and scale factor 2? 10 A(-2. 6) B(3.5) D(-4, 2) C(3.2) - 10 - 8 6​

Answers

Answer is C

Iggggggggggggggggggg

Here is the question

Answers

Answer:

A im pretty sure

Step-by-step explanation:

mark me brainliest please lol

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Answers

If one inch is 80 miles, then you measure 6 inches, you’re measuring 480 miles.

Line perpendicular to y=2x+8

Answers

For a line to be perpendicular, their slopes must be reciprocals. So, a line perpendicular to y=2x+8 is y= -1/2 x +8

Rowenas new kitten weights 12 times as much as her hamster. The conbines weight of the kitten and thw hamster is 468 grams. What is the weight of the kitten

Answers

Answer: 36

Step-by-step explanation: 36x12=432

432+36=468

Complete the equation of the line whose y-intercept is (0,5) and slope is -9.

Answers

Answer:

-9x + 5  

Step-by-step explanation:

Slope Intercept Form = y = mx + b

where x = slope and b = y intercept

We are told that the slope is -9 and the y intercept is at (0,5)

So x = -9 and b = 5

that being said we plug in the values into the equation

Therefore y = -9x + 5  is your answer

Answer:

-9x + 5  

Step-by-step explanation:

Complete the equation of the line whose y-intercept is (0,5) and slope is -9.

-9x + 5  

Which value could be substituted for x in order to make the inequality true? 8 < x < 8.5

Answers

Answer:

8 < 8.2 <8.5

Step-by-step explanation:

Pick a number that is greater than 8 but less than 8.5.

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The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fifth-grade boys, 14 sixth-grade girls, and 10 sixth-grade boys.



Find the following ratios:

a. The ratio of boys to girls

b. The ratio of fifth graders to sixth graders

c. The ratio of girls to the total number of students in the chorus

Answers

Answer:

A: 19:26 B:7:8 C:26:45

Step-by-step explanation:

Question A

First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,

Boys

9+10=19

Girls

12+14=26

Now that you have the total number of boys and girls you make this ratio,

19:26

That is the final answer

Question B

For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,

Fifth Graders

12+9=21

Sixth Graders

14+10=24

Now that you have the total number of both of the different grades you make this ratio,

21:24

You can simplify this by finding the lowest common factor which would be

7:8

Question C

To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.

Girls

12+14=26

All

12+9+14+10=45

Now with the total number of both you will form a ratio

26:45

This is your final answer because you cant simplify this any further

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Answers

Answer:

the answer is C

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

example

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Answers

Answer:

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Answers

Answer:

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