Andre says that 5 3/4 + 2 1/4 = 7 1/2 because 7 4/8 = 7 1/2. Identify his mistake. Draw a picture to prove that he is wrong.

Answers

Answer 1

Andre's Mistake in reasoning is assuming that 7 4/8 is equal to 7 1/2. Drawing a number line can prove that the fractions may be equivalent, but the whole numbers are not.

Andre made a mistake in his reasoning.

He incorrectly assumed that 7 4/8 is equal to 7 1/2. The fractions 4/8 and 1/2 are actually equivalent, but the whole numbers 7 and 7 are not.

To prove this, you can draw a number line and divide it into equal parts.

Taking the fractions 4/8 and 1/2, you will see that they represent the same distance, but they start at different points on the number line.

Therefore, 5 3/4 + 2 1/4 is not equal to 7 1/2.

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Andre Says That 5 3/4 + 2 1/4 = 7 1/2 Because 7 4/8 = 7 1/2. Identify His Mistake. Draw A Picture To

Related Questions

2 tens 1 one x 10 unit form

Answers

21x10 is 210 your welcome

How do I write 1,948,447 In expanded notation

Answers

Answer:

Step-by-step explanation:1,000,000+900,000+40,000+8,000+400+40+7

You need 35 black tiles and 28 white tiles to tile a patio. How many
tiles will you need in all? Use the Distributive Property to help you
find the sum.

Answers

In a simple addition problem like this, just directly add the number of black tiles (35) and white tiles (28). So, 35 + 28 equals 63. You will need 63 tiles in all to tile the patio.

The question asks you to find the total number of black and white tiles needed to tile a patio, using the Distributive Property to do the math.

However, the Distributive Property is used for multiplying a number by a group of numbers added together, not for a simple addition problem like this. For this question, you directly add the number of black tiles (35) and white tiles (28).

So, 35 (number of black tiles) + 28 (number of white tiles) equals 63. Therefore, you will need 63 tiles in all to tile the patio.

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which whole number is closest to the value of square root of 54?
[tex] \sqrt{54} [/tex]
1. 6
2. 7
3. 8
4. 9​

Answers

The answer for this problem is 7
The answer is 7 because 7 • 7 is 49 which is the to the value of the square root of 54.
Hope this helps!

Look at these equations.
11 = 5 + a
a + 4 = b + 3
Use both equations to work out the value of b.
Pls Help

Answers

Bonjour cheese gateou! je help tes maths!

11=5+a

11-5=a

6=a

a + 4 = b + 3

a - b = - 4 + 3

a-b=-1

Merci beaucoup...

11 = 5 + a
11 - 5 = a
6 = a

6 + 4 = b + 3
10 = b + 3
10 - 3 = b
7 = b

Please answer this asap for 15 pt

Answers

Answer:

Step-by-step explanation:

what is question that you whant my to answer

Solve for x. 3x-(5-2x)=x-21

Answers

[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\3x-(5-2x)=x-21\\\\\text{Distribute the "-" to the numbers in the parenthesis}\\\\3x-5+2x=x-21\\\\5x-5=x-21\\\\\text{Subtract x to both sides}\\\\4x-5=-21\\\\\text{Add 5 to both sides}\\\\4x = -16\\\\\text{Divide both sides by 4}\\\\\large\boxed{x=-4}[/tex]

Find the vertex of the function given below.
y = 3x2 + 6x +1

Answers

Answer: The coordinates of the vertex are : (-1,-2)

Step-by-step explanation: To find the x coordinate, we use the formula:

Xv = -b/2a = -6/(2.3) = -6/6 = -1

Replacing x by -1, we write:

y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2

The vertex of the function will be (-1, -2)

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = 3x² + 6x + 1

Now,

Since, The function is,

⇒ y = 3x² + 6x + 1

By comparing with the standard form of a quadratic equation ax²+bx+ c , we get;

⇒  a = 3, b = 6 c = 1

Since, The x- coordinate of the vertex is,

⇒ x = - b/2a

Substitute all the values, we get;

⇒ x = - 6/2×3

⇒ x = - 6/6

⇒ x = - 1

And, Put x =- 1 in the function, we get;

⇒ y = 3x² + 6x + 1

⇒ y = 3(-1)² + 6(-1) + 1

⇒ y = 3 - 6 + 1

⇒ y = - 2

Thus, The value of vertex = (- 1, - 2)

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300 students were surveyed. 240 completed the survey. What is the percentage of students surveyed

Answers

240 divided by 300 would be 0.8 multiply by 100 giving you 80. 80 percent.

Final answer:

To calculate the percentage of students who completed the survey, divide the number who completed it (240) by the total number surveyed (300) and then multiply by 100, yielding 80%.

Explanation:

To find the percentage of students who completed the survey, we use the formula for calculating a percentage: (Number of Students Who Completed the Survey ÷ Total Number of Students Surveyed) × 100. In this case, it's (240 ÷ 300) × 100, which equals 80%. Therefore, 80% of the students surveyed completed the survey. This is a common type of problem in statistics that involves dealing with portions and percentages of a whole.

. In this case, 240 students completed the survey out of 300 students surveyed. So, the percentage of students surveyed is:

Percentage = (240 / 300) * 100 = 80%

Solve the equation c2 = 4.​

Answers

Answer:

C = 2

Step-by-step explanation:

[tex]2*2=4[/tex]

The required solution for the given equation c² = 4 is  c = 2.​​

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

c² = 4

Since factor 4 = 2 x 2

Therefore, 4 = 2 x 2 = 2²

So the given equation becomes,

c² = 2²

Taking square root both the side we get,

√c² = √2²

Therefore,

c = 2

which is the required solution of the given equation.

Thus, The required solution for the given equation c² = 4 is  c = 2.​​

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I need help solving this equation does anybody know what x is? 5+x+(-2)=-8

Answers

Answer: x=5

Step-by-step explanation:

5+x+(−2)=−8

Simplify

5 + x - 2 = -8

x + 3 = -8

Subtract 3 to both sides

x + 3 - 3 = -8 +3

Simplify

x = -5

Answer:

x=-11

Step-by-step explanation:

5+x+(-2)=-8

x+(-2)=-13

x=-11

if $860 is invested for one year at 5% simple interest, how much interest is earned? (College Algebra)

Answers

Answer: $43

Step-by-step explanation: 860 x 0.05 = 43

Which real number property is illustrated here? *
1 point
3* – 5 = – 5 * 3
o
Associative Property of Multiplication
O
Identity Property of Multiplication
Commutative Property of Multiplication
O
Commutative Property of Addition

Answers

Answer:

Commutative property of multiplication

What is the range of the function in this table?
|
|
24
3 | 3
4 | 2

Answers

recall that in a function, the output or f(x) or namely the dependent variable set is the range.

[tex]\bf \begin{array}{ccll} \stackrel{domain}{x}&\stackrel{range}{y}\\ \cline{1-2} 2&4\\ 3&3\\ 4&2 \end{array}\qquad \qquad \stackrel{\mathbb{RANGE}}{\{4,3,2\}}[/tex]

Which of the following expressions are equivalent to (6.2+6.2)+9.4(6.2+6.2)+9.4left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4? Choose 2 answers: Choose 2 answers: (Choice A) A 6.2 + (6.2 + 9.4)6.2+(6.2+9.4)6, point, 2, plus, left parenthesis, 6, point, 2, plus, 9, point, 4, right parenthesis (Choice B) B -(-6.2+6.2)+9.4−(−6.2+6.2)+9.4minus, left parenthesis, minus, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice C) C -(6.2+6.2)+9.4−(6.2+6.2)+9.4minus, left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice D) D 9.49.49, point, 4 (Choice E) E 6.2-(-6.2-9.4)6.2−(−6.2−9.4)

Answers

Answer:

6.2 + (6.2 + 9.4) ⇒ A

6.2 - (-6.2 - 9.4) ⇒ E

Step-by-step explanation:

your welcome i hope you pass <3

The equivalent expressions are Choice A: 6.2 + (6.2 + 9.4) and Choice C: -(6.2 + 6.2) + 9.4.

How did we arrive at this assertion?

Let's break down the expressions to see how they are equivalent:

Original expression: (6.2 + 6.2) + 9.4

Choice A: 6.2 + (6.2 + 9.4)

This is the same as the original expression because the parentheses ensure that the addition of 6.2 and 9.4 is done first before adding it to the first 6.2.

Choice C: -(6.2 + 6.2) + 9.4

Here, we have a negative sign in front of the expression (6.2 + 6.2). When we add a negative sign, it's equivalent to subtracting the expression from 0. So, -(6.2 + 6.2) is the same as (-6.2 - 6.2), which is then added to 9.4. This is also equivalent to the original expression.

In both Choice A and Choice C, the final result is the same as the original expression: (6.2 + 6.2) + 9.4.

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Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. What is the computer’s original price? Write and solve an equation.

Answers

Let the price of the computer = X

Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X

Store B is selling it for 180 less the original price, so you have X - 180

Now set both equations to equal and solve for x:

0.75x = X-180

Subtract 1X from each side:

-0.25x = -180

Divide both sides by -0.25:

x = -180 / -0.25

X = 720

The original price is $720

check:

720 x 0.25 = 180

The original price of the computer is $720, calculated by setting the 25% sale price equal to the flat $180 discount and solving the resulting equation.

Brittany wishes to determine the original price of a computer based on the sale prices from two different stores. Store A offers a 25% discount while Store B offers a flat $180 discount. To find the original price when the sale prices are equal, we set up an equation.

Let the original price be represented by x. The sale price at Store A is therefore x - 0.25x or 0.75x. At Store B, the sale price is x - $180.

To find the original price when the sale prices are equal, we set the equations equal to one another:
0.75x = x - $180

We solve the equation by subtracting x from both sides:
0.75x - x = -$180
-0.25x = -$180

Then we divide both sides by -0.25 to solve for x:
x = -$180 / -0.25
x = $720

Therefore, the original price of the computer is $720.

WHAT IS 2(2X+5)-6(x+2) when simpified

Answers

Answer:

- 2x - 2

Step-by-step explanation:

Given

2(2x + 5) - 6(x + 2) ← distribute both parenthesis

= 4x + 10 - 6x - 12 ← collect like terms

= - 2x - 2



HELP will mark brainilest
The original price of a sound system is $1250. For one day only, the store is offering a frequent shopper discount of 35% on all merchandise. Which expressions can be used to find the discounted price of the sound system? Check all that apply.

0.35($1250)
$1250 + 0.35($1250)
0.65($1250)
$1250 – 0.35($1250)

Answers

Answer:

The answer to your question is $1250 - 0.35($1250)

Step-by-step explanation:

'Find the highest common factor of 32, 48 and 72. show your working'

please please help asap <3

Answers

Answer:

HCF(32,48,72) = 8

Step-by-step explanation:

We have ,

32 = 2×2×2×2×2 =

48 = 2×2×2×2×3 = 2⁴×3¹

72 = 2×2×2×3×3 = 2³×3²

Now,

HCF(32,48,72) = 2³ = 8

/* Product of the smallest power of each common prime factors of the numbers */

What is the least common multiple (LCM) of 10 and 12?

Answers

The LCM of 10 and 12 = 60.

Hope this helped!

Answer:

60

Step-by-step explanation:

Some people think this concept is confusing. Let's break it down. First, let's ask, what is a multiple?

We get a multiple of a number when we multiply it by another number other than zero. For example:

Multiples of 10: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90, 100...[/tex]

Multiples of 12: [tex]12,24,36,48,60,72,84,96,108...[/tex]

The Least Common Multiple is the smallest multiple of the two numbers. The smallest multiple we see 10 and 12 have is 60.

The PSU charges $2 for a package weighing up to 3 lbs, plus an additional fee of $0.15 per lb over 3lbs . what is the most a package can weigh that you plan to mail if you have 3 dollars ? (the nearest whole lb)

Answers

The correct answer is 9lbs!

You will start by subtracting the initial $2 which leaves you with $1 left. after that you count how many times $0.15 goes into your $1 left. That answer should be 6 time which is $0.90. Now you add the 6 to the original 3 to get 9lbs!

What is the slope of the line passing through the points (−1, 7) and (4, −1)?



−56
−2
−85
2

Answers

Hey!

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

Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

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

Steps To Solve:

~Substitute

[tex]m = \frac{-1 - 7}{4 - (-1)}[/tex]

~Simplify

[tex]m = \frac{-8}{5}[/tex]

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

Answer:

[tex]\large\boxed{C)~\frac{-8}{5} }[/tex]

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

Hope This Helped! Good Luck!

-2 Is the answer to the question

Can you give me the answer please

Answers

Answer:

-5

Step-by-step explanation:

because -3 + 3 = 0 and 1 + 4 = 5 so your answer is -5

[tex]\huge\boxed{-5}[/tex]

Let's write this out as an equation. [tex]-3+3+1+4+t=0[/tex]

We know that when all of the scores are added together, they equal [tex]0[/tex]. In this case, [tex]t[/tex] represent's Travis's score.

Add the known numbers together. [tex]0+1+4+t=0[/tex]

[tex]1+4+t=0[/tex]

[tex]5+t=0[/tex]

Now, subtract [tex]5[/tex] on both sides of the equation to isolate the variable. [tex]t=\boxed{-5}[/tex]

please also help me on this one.​

Answers

Answer: Maybe 8cm?

Step-by-step explanation:

you take 2cm and add it up with every shaded area

The area of the shaded part would be 3.6 squared cm. This is because (4•3.5)-(3sqrt3/2)•2^2=3.6

hello guys I need help with this multiple choice question <3​

Answers

Answer:

fourth equation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y + 3x = 8 into this form

Subtract 3x from both sides

2y = - 3x + 8 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 3 + c ⇒ c = - 1 + 3 = 2

y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line

If A= (-1,-3) and B = (11,-8), what is the length of Ad?

Answers

Answer:

AB = 13

Step-by-step explanation:

The formula of a distance between two points

[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points A(-1, -3) and B(11, -8).

Substitute:

[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]

The equation y = 3.5x represents the rate, in miles
per hour, at which Laura walks.
The graph at right represents the rate at
which Piyush walks. Determine who walks
faster. Explain.

Answers

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

The rate or speed is equal to the slope of the linear equation

Laura

y=3.5x

The slope is [tex]3.5\ \frac{mi}{h}[/tex]

Piyush

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

so

[tex]m=\frac{y}{x}[/tex]

For x=4 h, y=18 mi

substitute

[tex]m=\frac{18}{4}=4.5\ \frac{mi}{h}[/tex]

Compare the slopes

[tex]4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}[/tex]

therefore

Piyush walks faster than Laura

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

Piyush walks faster than Laura

A 60-foot monument casts a 25-foot shadow. How long is the shadow of a 4.5-foot-tall person​

Answers

Answer:

1.875 feet

Step-by-step explanation:

The length of the shadow is proportional to the height.

25 / 60 = x / 4.5

Cross multiply and solve:

60x = (25)(4.5)

60x = 112.5

x = 1.875

The shadow is 1.875 feet long.

Final answer:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

Explanation:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow

Plug in the values: 60 / 25 = 4.5 / x

Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet

Is this a permutation or combination problem:
For a band camp, you can choose two or three roommates from a group of 25 friends. In how many ways can you choose?

Answers

Answer:

permutation is the correct one.

Reason: combination are used to calculate the number of possible selections of  objects without regard to the order selected.  "My fruit salad is a combination of apples, grapes, and  bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination

Final answer:

The student needs to choose two or three roommates from a group of 25 friends for a band camp. It is a combination problem and the number of ways to choose can be calculated using the combination formula.

Explanation:

This is a combination problem. The student needs to choose two or three roommates from a group of 25 friends for a band camp. Since the order doesn't matter, it is considered a combination. To calculate the number of ways to choose, we use the combination formula.

The number of ways to choose two roommates can be calculated using the formula C(25, 2) = 25! / ((25-2)! * 2!), which simplifies to 300.

The number of ways to choose three roommates can be calculated using the formula C(25, 3) = 25! / ((25-3)! * 3!), which simplifies to 2,300.

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?


Answers

Final answer:

To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.

Explanation:

The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.

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