Simplify this expression.
20.25 – 9 + 11
о
1
4
0 18.75
0
21?
0 40.75

Simplify This Expression.20.25 9 + 11140 18.75021?0 40.75

Answers

Answer 1

Answer:

[tex]21\frac{3}{4}[/tex]

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as [tex]20\frac{1}{4}[/tex], because [tex]\frac{2025}{100}[/tex] = [tex]\frac{81}{4}[/tex] = [tex]20\frac{1}{4}[/tex]. So if we add [tex]20\frac{1}{4}[/tex] and 11, we would get [tex]31\frac{1}{4}[/tex]

Step 2: Solve

[tex]31\frac{1}{4} -9\frac{1}{2}[/tex]

Subtract the whole numbers

[tex]31-9=21[/tex]

Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

[tex]\frac{5}{4}-\frac{1}{2}[/tex]

LCM

[tex]\frac{5}{4}-\frac{2}{4} =\frac{3}{4}[/tex]

Therefore, the simplified expression to this is [tex]21\frac{3}{4}[/tex].

Learn more: https://brainly.com/question/403991


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What is the value of x in the equation, 0.25x + 7 = 4(x – 2)

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Answer:

4

Step-by-step explanation:

0.25x + 7 = 4(x-2)

0.25x + 7 = 4x - 8

0.25x - 4x = -7 - 8

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Given m
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Answers

Step-by-step explanation:

(4x-6)+(8x+18) = 180°

12x+12 = 180

12x=168

x=14°........ ..(1)

8x+18=y+3.. (putting the value of x from equation1)

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what is equal to 16x103

Answers

Answer:

1648

Step-by-step explanation:

Let's use the distributive property:

(16 x 100) + (10 x 3) + (6 x 3) =

1600 + 30 + 18 = 1648

-Chetan K

and are
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collinear and in that order. CD = -254 + 8x, AC = 92, BD = x + 113,
and AB = 13x - 527,

Answers

First draw a straight line and plot the four points A,B,C,D on that line. It doesn't matter where you plot the points as long as they are in order and none overlap.

We're given AD = x+203. We also know that BD = x+127. Since AB + BD = AD (segment addition postulate) we can determine the length of AB

AB + BD = AD

AB + BD-BD = AD-BD Subtract BD from both sides.

AB = AD-BD

AB = (x+203)-(x+127)

AB = x+203-x-127

 

AB = 76

The length of BC is also 76 (given). So,

AB+BC = 76+76 = 152

this is equal to the length of AC because AB+BC = AC

So, AC = 152 units

Final Answer: 152 units

3(x + 2) = 2x + 5 justification/ reason

Answers

Answer:

x = -1

Step-by-step explanation:

3(x + 2) = 2x + 5

Use the distributive property on the left side.

3x + 6 = 2x + 5

Subtract 2x from both sides. Subtraction property of equality.

x + 6 = 5

Subtract 6 from both sides. Subtraction property of equality.

x = -1

Answer: 1

Step-by-step explanation: 3(x+2)=2x+5

                                               3x+6=2x+5

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                                                       1=1x

                               

                                               

3.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

A. y = 45(x – 4); $180
B. y – 270 = 45(x – 2) ; $450
C. y = 45(x – 4); $270
D. y – 270 = 45x; $45

Answers

Answer:

B. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

In February, you have a balance of $270 in your bank account.

In January, you have a balance of $270 - $45 = $225 in your bank account.

In December, you have a balance of $225 - $45 = $180 in your bank account.

y = $180 + $45x, where x = 1, 2, 3, 4...

Balance in June: x = 6

y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450

The complete question is:

In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

Answer:

$450 in June

Step-by-step explanation:

$X = 270 + 45 × ( number of month)  

In this problem, February, the month you start with, would be month 0.

June would be 4.

$X = 270 + 45 × 4

= 270 + 180

= $450 in June

$450 in June.

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Answers

Answer:

Measure 2 is 149

Step-by-step explanation:

Answer:

149°

Step-by-step explanation:

Since this is a supplementary angle to Angle measure 1, it makes the two equal 180. Your angle M2 = 149

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

i don't understand anything what grade are you in

Step-by-step explanation:

i showed work, the line in the middle of the equations just helps make sure everything you do to one side you do to the other! on the graphs just connect the points!

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Answers

Answer:

the answer to this will most likely be nine 9

Answer:

9

Step-by-step explanation:

27 divided by 3 is 9!

Please mark brainliest if possible and have a nice day!

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Answers

Problem 10, Part A

The larger outer square is x cm by x cm, where x is some placeholder for a positive number. For example, if x = 10, then we have a 10 cm by 10 cm square.

Unfortunately, we don't know what number replaces x.

What we can determine is the connection between the larger square and the smaller one. The frame is 3 cm wide in all directions (aka it's a uniform width). What this allows for is that the smaller square is x-6 by x-6. The 6 is from subtracting two copies of 3, so ultimately we're subtracting off 2*3 = 6 to form the smaller dimensions.

You can think of it like x-3-3 = x-6

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(x-6)(x-6)

y(x-6)

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x(x-6) - 6(x-6)

x^2-6x - 6x+36

x^2-12x+36

In the second step, I replaced one copy of (x-6) with y, after which I used the distributive rule. After distributing, I plugged in y = x-6 and distributed again. The last step is combining like terms. As an alternative, you can use either the box method or the FOIL rule to find the answer.

The expression x^2-12x+36 is the expanded form of the area of the smaller square, which is the picture itself without the frame involved.

Answer:  x^2 - 12x + 36

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

Problem 10, Part B

We follow the same idea as the previous part. This time, we have a rectangle that isn't a square.

Along the horizontal, the (x+30) will drop to (x+30)-5-5 = x+20 when we consider just the picture without the frame. In other words, the smaller inner rectangle has a horizontal dimension of (x+20) cm.

The vertical component of this smaller rectangle is x-5-5 = x-10 cm

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area = length*width

area = (horizontal dimension)*(vertical dimension)

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area = x^2+20x - 10x - 200 ..... distribute again

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Answers

Answer:

Use the SINE COSINE and the TANGENT rule

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5 ^-2 * cube root of 8

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following this law, we have;

5^-2 = 1 / 5^2

we know that 5^2 = 25

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0.08

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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