Is the expression 3(x+ 1 1/2)-3 equivalent to 3x+ 1 1/2?

Answers

Answer 1

Answer:

No, because 3x+9/2 isn't equivalent to 3x+3/2.

Step-by-step explanation:

1 1/2=3/2

3(x+3/2)=3x+9/2


Related Questions

LN is tangent to circle o at point M and QM is a diameter. Determine the measure of the following angles.
The measure of QML is degrees
The measure of ZPMN is degrees.
270

Answers

Answer:

Part 1) [tex]m\angle QML=90^o[/tex]

Part 2) [tex]m\angle PMN=63^o[/tex]

Step-by-step explanation:

The complete question in the attached figure

Part 1) Find the measure of angle QML

we know that

According to the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection

so

radius OM is perpendicular to LN at point M

therefore

[tex]m\angle QML=90^o[/tex]

Part 2) Find the measure of angle PMN

we know that

[tex]m\angle QMN=m\angle QMP+m\angle PMN[/tex] ---> by angle addition postulate

we have

[tex]m\angle QMN=90^o[/tex]

[tex]m\angle QMP=27^o[/tex]

substitute

[tex]90^o=27^o+m\angle PMN[/tex]

[tex]m\angle PMN=90^o-27^o=63^o[/tex]

Applying the perpendicular tangent theorem, the missing angles are:

m∠QML = 90°

m∠PMN = 63°

What is the Perpendicular Tangent Theorem?

The Perpendicular Tangent Theorem states that tangent lines are perpendicular to the radius of a circle at the point where they intersect, forming a right angle.

Thus:

Based on the perpendicular tangent theorem,

m∠QML = m∠QMN = 90°

Thus:

m∠QML = 90°

m∠PMN = 90° - 27°

m∠PMN = 63°

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approximate
[tex] log_{3}14 + 1 [/tex]

Answers

Answer:

log(14) / log(3) + 1   OR  3.40217350

Step-by-step explanation:

A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:

X=# of patties 1 2 3
P(X) 0.40 0.50 0.10
Mean: μX​=1.7
Standard deviation: σX​≈0.67
The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T

Answers

Answer:

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

Step-by-step explanation:

Let's find out the mean of T (total price a randomly chosen customer pays for their burger), this way:

Mean of T = 0.4 * $ 2 + 0.5 * $ 4 + 0.1 * $ 6

Mean of T = 0.8 + 2 + 0.6

Mean of T = US$ 3.40

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

In the given case, the mean of T is [tex]\[ \boxed{3.4} \text{ dollars} \][/tex]

To find the mean of T, which represents the total price a randomly chosen customer pays for their burger, we can use the relationship between T and X.

Given that the price per patty is $2, the total price T can be expressed as:

T = 2X

We are given the mean number of patties [tex]\( \mu_X = 1.7 \).[/tex]

The mean of a transformed variable can be found using the linear transformation properties of the mean.

Specifically, if [tex]\( T = aX + b \),[/tex] then:

In this case, since  T = 2X , we have a = 2 and  b = 0.

Therefore:

[tex]\[ \mu_T = 2\mu_X + 0 = 2 \times 1.7 = 3.4 \][/tex]

So, the mean of T is- [tex]\[ \boxed{3.4} \text{ dollars} \][/tex]

Use a calculator to find the approximate value of cos-1(0.55).

Answers

Answer:

The approximate value is [tex]56.63^o[/tex]

Step-by-step explanation:

Let

[tex]\theta[/tex] ----> the measure of angle in degrees

we have that

[tex]cos(\theta)=0.55[/tex]

Using a calculator

Find the measure of angle  [tex]\theta[/tex]

[tex]\theta=cos^{-1}(0.55)[/tex]

[tex]\theta=56.63^o[/tex]

what does 3 over 4 times 2 equal?

Answers

Answer: 1.5

Da maths: Bruh ask google

3/(4*2)
3/8
it is in simplified form
Decimal form .375

find the greatest common divisor for 22/34 then simplify the fraction​

Answers

Step-by-step explanation:

[tex]22=\boxed{2}\times11\\\\34=\boxed2\times17\\\\GCD(22,\ 34)=\boxed2\\\\\dfrac{22}{34}=\dfrac{22:2}{34:2}=\dfrac{11}{17}[/tex]

Answer:

11/17

Step-by-step explanation:

22 and 34

22: 1, 2, 11, 22

34: 1, 2, 17, 34

22/34 ÷ 2/2 = 11/17

What is the experimental probability of drawing a red marble, given the following results?
Marble Color Blue Green Red
Times Drawn 8

Answers

Answer:

7/20..i hope its correct

Step-by-step explanation:

all = 8+5+7

=20

red marbles / all = 7/20

Answer:

7/20

Step-by-step explanation:

two positive improper fractions are multiplied. Is the product sometimes, always, or never less than 1? Explain

Answers

From 1 to 2 24 so if I was 52 it would be 83 and 4 times

the perimeter of a rectangle is 32 centimeters. The length is 1 cm more than twice the width. Find the dimensions of the rectangle.

Answers

Answer: length = 11cm , width = 5cm

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle is given by :

P = 2 ( L + w )

The length is 1 cm more than twice the width implies:

L = 1 + 2w

substituting into the formula , we have

32 = 2 ( 1 + 2w + w )

32 = 2 ( 1 + 3w)

32 = 2 + 6w

32 - 2 = 6w

30 = 6w

Therefore :

w = 5

then

L = 1 + 2w

L = 1 + 2 ( 5 )

L = 1 + 10

L = 11

Therefore , the length is 11 cm and the width is 5cm

483.6 is what percent of 180

Answers

Answer:

We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/483.6

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

In a two-digit number the tens digit is four less than the units digit. Seven times the tens digit plus five times the units digit is equal to 56. Find the digits.

Answers

The digits of the number are 7 and 3

Step-by-step explanation:

In a two-digit number:

The tens digit is four less than the units digitSeven times the tens digit plus five times the units digit is equal to 56

We need to find the digits

Assume that the unit digit is x and the ten digit is y

∵ x represents the unit digit

∵ y represents the ten digit

∵ The ten digit is four less than the unit digit

- That means subtract 4 from the unit digit to get the ten digit

y = x - 4 ⇒ (1)

∵ Seven times the tens digit plus five times the units digit is

   equal to 56

- That means multiply the ten digit by 7 and the unit digit by

   5 and add the two products and equate the sum by 56

7y + 5x = 56 ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (2) by equation (1)

∵ 7(x - 4) + 5x = 56

- Simplify the left hand side

∴ 7x - 28 + 5x = 56

- Add the like terms in the left hand side

∴ 12x - 28 = 56

- Add 28 to both sides

∴ 12x = 84

- Divide both sides by 12

x = 7

- Substitute the value of x in equation (1) to find y

∵ y = 7 - 4

y = 3

The number is 37

The digits of the number are 7 and 3

Learn more:

You can learn more about the system of equation in brainly.com/question/6075514

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Ethan buys a new phone. It cost 75$. He will pay for this on his 1st bill.
His phone plan charges 0.06 dollars per minute on the phone.
'He has $90 to spend on his 1st bill. How long can he be on his phone to not go over his budget?
A)80 minutes
B)250 minutes
C) 1050 minutes
D)1250 minutes

Answers

Answer:250

Step-by-step explanation: Subtract 90 from 75 which is 15 then divide 15 by .06 which is 250

Answer:a

Step-by-step explanation:

a

Solve x^5 - 8x^4 + 22x^3 - 26x^2 + 21x - 18 -0.

Answers

Answer:

= x^5 - 8x^4 + 22x^3 - 26x^2 + 21x - 18

Step-by-step explanation:

x^5 - 8x^4 + 22x^3 - 26x^2 + 21x - 18 - 0

Since all the exponents have different bases, the only thing we can do is subtract 18 from 0, which gives us an answer of:

= x^5 - 8x^4 + 22x^3 - 26x^2 + 21x - 18

Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard long pieces Marilyn can cut from this ribbon

Answers

Marilyn can cut 14 equal pieces

Solution:

Given that, Marilyn has 7/8 yard of ribbon

To find: Maximum number of 1/16 yard long pieces Marilyn can cut from this ribbon

From given information,

[tex]\text{Total length of ribbon } = \frac{7}{8} \text{ yard }[/tex]

[tex]\text{Length of 1 piece } = \frac{1}{16} \text{ yard }[/tex]

Number of pieces that can be cut from total length of ribbon is found by dividing the total length of ribbon by length of 1 piece

Therefore,

[tex]\text{Number of pieces } = \frac{\text{Total length of ribbon}}{\text{Length of 1 piece }}[/tex]

Substituting the values, we get

[tex]\text{Number of pieces } = \frac{\frac{7}{8}}{\frac{1}{16}}\\\\\text{Number of pieces } = \frac{7}{8} \times \frac{16}{1}\\\\\text{Number of pieces } = 14[/tex]

Thus 14 pieces of ribbon can be cut

Which statement describes the graph of the system of equations below? 1.5x+0.2y=2.68
1.6+0.3y=2.98

Answers

Answer:

( 1.17 3 ,  4.6 )

Step-by-step explanation:

Which statement describes whether a right triangle can be formed using one side length from each of these squares? 3 squares have areas of 64 inches squared, 225 inches squared, and 289 inches squared.
A: Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
B:Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
C:No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
D:No, a right triangle cannot be formed because the sum of the areas of the two smaller squares equals the area of the largest square.

Answers

Answer:

the correct answer is B

"yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square."

Step-by-step explanation:

took the test, got it right. nice day folks. amos @kay_flores575

Right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.

What is area?

" Area is the space occupied by any two dimensional  object on the flat surface."

What is right angled triangle?

"Right angled triangle is a two dimensional figure with three sides and three vertices . Any one of the interior angle should be equals to 90°."

Formula applied

Pythagoras theorem

a² = b² +c²

According to the question,,

Three square with areas 64inches , 225 inches and 289 inches.

We can write this areas as

  289 = 225 + 64

⇒(17)² = (15)² + (8)²

Applying formula we can say that a right triangle can be formed.

Hence, we conclude that Option B is correct.

Learn more about  area here

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Which number means the same as 7,000,000,000 + 900,000,000 + 20,000,000 + 7,000,000 + 100,000 + 70,000 + 3,000 + 800 + 60? A. 7,927,137,860 B. 7,972,173,860 C. 7,927,173,806 D. 7,927,173,860

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. 7,927,173,860

Step-by-step explanation:

Because math

A circular path 3 feet wide has an inner diameter of 350 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π.

Answers

Answer:

18.84 feet farther is it around the outer edge of the path than around the inner edge.

Step-by-step explanation:

Given:

A circular path 3 feet wide has an inner diameter of 350 feet.

Use 3.14 for π.

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 350 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

[tex]350\div 3[/tex]

[tex]=116.67\ feet.[/tex]

r = 116.67 feet.

Now,

Thus, the outer radius is:

[tex]116.67+3[/tex]

[tex]=119.67\ feet.[/tex]

R = 119.67 feet.

Now, we get the circumference of inner edge and outer edge:

Circumference of inner edge = 2πr.

[tex]Circumference\ of\ inner\ edge=2\times 3.14\times 116.67[/tex]

                                                 [tex]=732.69\ feet.[/tex]

Circumference of outer edge = 2πR.

[tex]Circumference\ of\ outer\ edge=2\times 3.14\times 119.67[/tex]

[tex]Circumference\ of\ outer\ edge=751.53\ feet.[/tex]

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

Circumference of outer edge - circumference of inner edge.

[tex]751.53-732.69[/tex]

[tex]=18.84\ feet.[/tex]

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

The difference in distance around the outer edge of the path compared to the inner edge is 18.84 feet.

To find how much farther it is around the outer edge of the circular path compared to the inner edge, we need to calculate the circumferences of both the inner and outer edges and find the difference.

1.  First, calculate the inner circumference using the inner diameter of 350 feet:

Inner Circumference = π × inner diameter = 3.14 × 350 = 1099 feet.

2. Next, calculate the outer diameter by adding the width of the path to each side of the inner diameter:

Outer Diameter = inner diameter + 2 × width of the path = 350 + 2 × 3 = 356 feet.

3. Then, calculate the outer circumference using the outer diameter:

Outer Circumference = π × outer diameter = 3.14 × 356 = 1117.84 feet.

4. Finally, find the difference between the outer and inner circumferences:

Difference = Outer Circumference - Inner Circumference = 1117.84 - 1099 = 18.84 feet.

Therefore, it is 18.84 feet farther around the outer edge of the path than around the inner edge.

How do I rotate a point by 180 degrees clockwise?

Answers

180 degrees is half of a circle, and clockwise means turning in the direction a clock does - right.

So a point would be turned right halfway around.

What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

Answers

Answer:

(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

=   98 - 40[tex]\sqrt{6}[/tex]

Step-by-step explanation:

i) (5[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{3}[/tex]) × (5√2 - 4√3)

=(5[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{2}[/tex]) - (5[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{3}[/tex]) - (4[tex]\sqrt{3}[/tex] × 5[tex]\sqrt{2}[/tex]) + (4[tex]\sqrt{3}[/tex] × 4[tex]\sqrt{3}[/tex])

= 50 - 20[tex]\sqrt{6}[/tex] - 20[tex]\sqrt{6}[/tex] + 48

= 98 - 40[tex]\sqrt{6}[/tex]

Answer:

98 - 40√6

Step-by-step explanation:

The words expression can be represented as follows:

(5√2 - 4√3) (5√2 - 4√3)

The question is to find the products .

(5√2 - 4√3) (5√2 - 4√3)

Multiply through to open the bracket

25 × 2 - 20√6- 20√6 + 16 × 3

50 - 20√6 - 20√6 + 48

50 - 40√6 + 48

50 + 48 - 40√6

98 - 40√6

2 pluse 2 what does that equal

Answers

Answer:

The answer is 4. as 2 plus 2 is equal to 4

Step-by-step explanation:

2+2=4

The answer is 2 +2 equals 4.

Select all of the following that are ordered pairs of the given function.

f(x)=3-2x

Answers

Answer:

(-1,5), (0,3), (2,-1)

Step-by-step explanation:

We can just test out each of the answers as follows:

Let's start with (-2,-1). We see that f(-2) = 3 - 2x(-2) = 3+4 = 7, so this is not a solution.

Now let's work out the rest:

f(-1) = 3 - 2x(-1) = 3 + 2 = 5. So yes (-1,5) is a solution

f(0) = 3-2x0 = 3 so yes, (0,3) is a solution

f(1) = 3 - 2x1 = 1 so (1,0) is not a solution

f(2) = 3 -2x2 = -1, so yes (2,-1) is a solution

change the decimal to a fraction and reduce .62

Answers

Answer:

31/50

Step-by-step explanation:

0.62 = 62/100 = 31/50

Maggie found the area of the irregular figure by dividing it into a triangle and a rectangle.

Answers

Answer:

33cm^2

Step-by-step explanation:

Rectangle:

5 x 6 = 30

Triangle:

1 side 6 - 3 = 3

2 side 7- 5 = 2

area of right triangle:

A = (ab) / 2

A = (3 * 2) / 2

A = 3

sum:

30 + 3 = 33

Answer:

swallla swalla swalla swalla drake swalla drake swalla swalla swalla freaky freaky gurlll

Step-by-step explanation:

Maureen bought a coat. She was excited because it was on sale, so she paid $15.25 less than the original price. She paid $48.75 for the coat. Write and solve an equation to determine the original price. Let p represent the original price. It's getting cold outside! The temperature dropped steadily at a rate of about 4 degrees every hour. If the temperature dropped a total of 22 degrees, how many hours have passed? Let h represent the number of hours

Answers

Answer:

$33.50 for coat, 5.5 hours

Step-by-step explanation:

For the coat, since it was on sale, then it would be $48.75-$15.25=p=$33.50.

If the temperature drops 4 degrees every hour, if t dropped 22 degrees, then you would do 22 divided by 4, to find out how many hours it had dropped for. 22 divided by 4=h=5.5 or 5 1/2.

Maria has 15 dollars that she can spend at the movies. A movie ticket costs 7 dollars. Which inequality represents the greatest amount of money, f, Maria can spend on food and drinks?

Answers

The inequality which represents the greatest amount of money, f, Maria can spend on food and drinks is f < 8.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

Maria has 15 dollars that she can spend at the movies.

Total amount Maria has = $15

Cost of a movie ticket = $7

Let f be the amount that she can spend maximum on food and drinks.

f < remaining amount

f < 15 - 7

f < 8

Hence the inequality is f < 8.

Learn more about Inequalities here :

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What is the solution for x in the equation?
9x - 20 - 4x = 40

Answers

Answer:

Step-by-step explanation:

X=12

Answer:

x= 12

Step-by-step explanation:

9x-20-4x=40

add 20 on both sides

40+20=60

combine like terms

9x-4x=5x

divide 60 by 5

=12

Addie saved more than $36. Which inequality represents the amount she saved

Answers

Answer:

S>36

where S is saving

10. Find the equation of a line with a slope of O and that passes through
the point (-2,5).

Answers

Answer:

Y=5

Step-by-step explanation:

If the slope is 0 it will be a line parallel to the x axis with a constant value of y and since we know it passes through a point with y coordinate of 5 we know that the constant value of y is 5

I need help simplifying #6

Answers

Answer:

The simplified expression is [tex]\frac{12x^8y^5}{5z^4}[/tex]

Therefore [tex]\frac{24x^5y^9z^{-8}}{10x^{-3}y^4z^{-4}}=\frac{12x^8y^5}{5z^4}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{24x^5y^9z^{-8}}{10x^{-3}y^4z^{-4}}[/tex]

To simplify the given expression as below :

[tex]\frac{24x^5y^9z^{-8}}{10x^{-3}y^4z^{-4}}[/tex]

[tex]=\frac{12x^5y^9z^{-8}}{5x^{-3}y^4z^{-4}}[/tex]

[tex]=\frac{12x^5y^9z^{-8}x^3y^{-4}z^4}{5}[/tex]  ( by using the property [tex]a^{m}=\frac{1}{a^{-m}}[/tex] )

[tex]=\frac{12x^5.x^3.y^9.y^{-4}z^{-8}z^4}{5}[/tex]

[tex]=\frac{12}{5}x^{5+3}.y^{9-4}.z^{-8+4}[/tex] ( by using the property [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\frac{12}{5}x^8y^5z^{-4}[/tex]

[tex]=\frac{12x^8y^5}{5z^4}[/tex]  ( by using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]\frac{24x^5y^9z^{-8}}{10x^{-3}y^4z^{-4}}=\frac{12x^8y^5}{5z^4}[/tex]

The simplified expression is [tex]\frac{12x^8y^5}{5z^4}[/tex]

Therefore [tex]\frac{24x^5y^9z^{-8}}{10x^{-3}y^4z^{-4}}=\frac{12x^8y^5}{5z^4}[/tex]

Answer:

Therefore,

[tex]\dfrac{24x^{5}y^{9}z^{-8}}{10x^{-3}y^{4}z^{-4}}=\dfrac{12x^{8}y^{5}}{5z^{4}}[/tex]

Step-by-step explanation:

Simplify

[tex]\dfrac{24x^{5}y^{9}z^{-8}}{10x^{-3}y^{4}z^{-4}}[/tex]

Solution:

Using the Identities

[tex]1.\ x^{-a}=\dfrac{1}{x^{a}}[/tex]

[tex]2.\ \dfrac{1}{x^{-a}}=x^{a}[/tex]

[tex]3.\ \dfrac{x^{a}}{x^{b}}=x^{(a-b)}[/tex]

Therefore,

[tex]\dfrac{24x^{5}y^{9}z^{-8}}{10x^{-3}y^{4}z^{-4}}=\dfrac{24x^{(5+3)}y^{(9-4)}z^{(-8+4)}}{10}[/tex]

[tex]\dfrac{24x^{5}y^{9}z^{-8}}{10x^{-3}y^{4}z^{-4}}=\dfrac{2\times 12x^{8}y^{5}z^{-4}}{2\times 5}[/tex]

[tex]\dfrac{24x^{5}y^{9}z^{-8}}{10x^{-3}y^{4}z^{-4}}=\dfrac{12x^{8}y^{5}}{5z^{4}}[/tex]

Therefore,

[tex]\dfrac{24x^{5}y^{9}z^{-8}}{10x^{-3}y^{4}z^{-4}}=\dfrac{12x^{8}y^{5}}{5z^{4}}[/tex]

Other Questions
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