Carmen is 5 1/2 years younger than Antoine. Katy is 11 1/2 years older than Carmeri. To the nearest year what is the difference in Antoine's age and Katy's age?


A. Antoine is about 6 years older than Katy

B. Antoine is about 6 years younger than katy.

C. Antoine is about 17 years older than Katy

D. Antoine is about 17 years younger than Katy

Answers

Answer 1

If Carmens age is x and Antoine is 5 1/4 years older than Carmen

then Antoine's age is x + 5 1/4

Katy is 11 1/2 years older than Carmen

hence, Katy's age is x + 11 1/2

its visible that Katy is older than Antoine since (x + 11 1/2 ) > (x + 5 1/4)

difference between Antoine's and Katy's age can be found out by subtracting Antoine's age from Katy's age

Difference = Katy's age - Antoine's age

= x + 11 1/2 - (x + 5 1/4)

= x + 11 1/2 - x - 5 1/4

= 6 (1/2 - 1/4)

= 6 1/4

6 1/4 rounded off to the nearest year is 6 years.

Therefore difference is 6 years.

Katy is 6 years older than Antoine


Related Questions


What is the formula for simple interest?

Answers

Answer:

A = P (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Step-by-step explanation: brainliest plz

A = P(1 + rt)

The answer needs to be 20 characters but this is the formula for simple interest.

The difference of 5 times a number and 7 equals 53.

Translate

Answers

Answer:

difference means subtraction operation.

let the number be n :

[tex](5 \times n) - 7 = 53[/tex]

arrange the equation:

[tex]5n - 7 = 53[/tex]

______________________________________

---------------------------♦ end ♦----------------------------------

further more [ getting value of n ]

add 7 on all sides:

[tex](5n - 7) + 7 = 53 + 7 \\ 5n = 60[/tex]

divide all sides by 5:

[tex] \frac{5n}{5} = \frac{60}{5} \\ \\ n = 12[/tex]

Write the equation of the line that passes through the points (2, -6) and (8, -2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y + 6 = 2/3 (x - 2)

Step-by-step explanation:

Step 1. Find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

points: (2, -6) & (8, -2)

m = (-2 - -6)/(8 - 2)

m = 4/6

m = 2/3

Step 2. Create the point-slope equation by using the slope and the first point

Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point

Point-slope form: y + 6 = 2/3 (x - 2)

What is the equation of the line in Ax + By = C form that passes through the points (1, -3) and (-5, 9)

Answers

Answer:

-2x-y=1

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

Which equation is represented by the graph?

Answers

Answer: i think its 3

Step-by-step explanation:

i think its 3 not sure tho

Round to the nearest thousandth.
-49.5176

Answers

Answer:

-49.518

This should suffice.

I think it would be-48.518 I work it out

9 = n – 4pppppppllllllllsssssssssss help

Answers

Answer:

5

Step-by-step explanation:

Reverse it into n+4 = 9

The answer is 5

Please mark me as brainliest if that helped

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]n = 13[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'n'...}}\\\\9 = n - 4\\-------------\\\rightarrow n - 4 = 9\\\\\rightarrow n - 4 + 4 = 9 + 4\\\\\rightarrow \boxed{n=13}\\[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

Can a set of data having two modes have two points of central tendency

Answers

Answer:

The  Measure of Central Tendency are

1. Mean

2. Median and Quartiles

3. Mode

4. Geometric Mean

5. Harmonic Mean

→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.

→Now consider the two data sets,

A=3,4,4,5

B=1,4,4,7

Both the Data set have , same mean, median, and Mode,which is equal to 4.

→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.

Step-by-step explanation:

A measure of central tendency is a descriptive statistic

The correct response to the question is as follows;

Yes; A data having two modes can have two points of central tendency

The reason a dataset having two modes can have two points of central tendency is as follows:

A dataset having two modes is said to be bimodal

A dataset having three modes is said to be trimodal

A dataset having more than three modes is said to be multimodal

A measure of central tendency is a type of summary statistics that is a

single value representing the center point, or average of a set of data

thereby providing a description of the data by telling the middle value, the

average or the most common value which is the mode

As can be seen from the given example, by having two modes, a bimodal

data set describes a data that has two points of central tendency, thereby

giving a description of the data type, which for example may a collection

of the height of individuals, male and female, that have two most common

height values for each gender

Therefore, the correct response is yes, a dataset having two modes can

have two points of central tendency because the mode is a measure of

central tendency which is a descriptive statistics

Learn more about the measures of central tendency here:

https://brainly.com/question/17762288

https://brainly.com/question/16964486

What is the value of this expression?
[tex]18 + (6 - 3)^{2} \div 3[/tex]
Choose the correct answer below.
A. 21
B. 19
C. 17
D. 9​

Answers

Answer:

21 or A

Step-by-step explanation:

Brackets first: 6 - 3 = 3

Squared: 3^2 = 9

Now divide by 3 ÷ 3 = 9 ÷ 3  = 3

Finally add 18; 3 + 18 = 21

The correct answer is21

Order the numbers from least to greatest.

1.25, 11, -0.41, -0.41111..., -16, 3/7

Answers

Answer:

[tex] - 16 < - 0.41111... < -0.41 < \frac{3}{7} < 1.25 < 11[/tex]

Step-by-step explanation:

[tex] \frac{3}{7} = 3 \div 7 = 0.428...[/tex]

Find the equation of the
line in standard form with
slope m = - 1/3 and
passing through the point
(1, 1/3).

Answers

Answer:

y=-1/3 x +2/3

Step-by-step explanation:

all steps are in picture

HELP please help help

Answers

Answer:

4778.4

Step-by-step explanation:

The volume of a cone is given by:

(π•r²•h)/3

(π•13²•27)/3

(π•169•27)/3

(4,563•π)/3

14,334.66/3=4778.4

Volume of a cone=πr²×h×1/3
=π×13²×27×1/3
=1521π
≈4778.36243
≈4778.4

Hope my answer helped u :)


Mercury has a freezing point of -38°F.
Water has a freezing point of 32°F. What is
the difference?

Answers

70, you add both numbers.

The difference between the freezing point of water and mercury is 70°F.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that mercury has a freezing point of -38°F and water has a freezing point of 32°F.

The difference between the freezing point of water and mercury is calculated below

Difference =  freezing point of water -  freezing point of mercury

Difference =  32 - ( -38)

Difference =  70°F

Therefore, the difference between the freezing point of water and mercury is 70°F.

To know more about an expression follow

https://brainly.com/question/1563087

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PLEASE HELP

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:

Ok. so let's teach you how to find the angles of a triangle. When you add all three sides, they must equal 180 degrees. Because of this, let's do some math. What is 96+35. Ima pretend you said 131 and so you would be right. Now let's subtract that from 180 degrees. 180-131 is 49 and so x is 49 degrees. Hope this helps!!

(-8\9×1\-5)+(-8\9×-7\11)= -8\9×(1\-5×-7\11)​

Answers

[tex]( \frac{ - 8}{9} \times \frac{1}{ - 5} ) + (\frac{ - 8}{9} \times \frac{ - 7}{11} ) = \frac{ - 8}{9} \times ( \frac{1}{ - 5 } \times \frac{ - 7}{11} )[/tex]

[tex] \frac{ - 8}{9} = 0[/tex]

all like terms to be cancel = -0.888888

please mark this answer as brainlist

Determine the x-intercept for 3x +2y=14

Answers

Answer:

([tex]\frac{14}{3}[/tex],0) or (4.6,0)

Step-by-step explanation:

3x+2y=14

3x+2·0=14      (An x-intercept's y-value is always 0, so substitute!)

3x+0=14

3x=14

x=[tex]\frac{14}{3}[/tex] or 4.6

Use all four operations without parentheses to write an expression that has a value of 10

Answers

Answer:

10-10+10÷10×10

Step-by-step explanation:

10-10=0+10=10÷10=1×10=10

What is the least three-digit whole number that has exactly five positive factors?

Answers

The number 100 and that’s the only one I can think of

There is no three-digit whole number that has exactly five positive factors.

The prime factorization of a number with five factors will be of the form p⁴ or p²q, where p and q are distinct prime numbers.

p⁴:

The smallest prime number greater than or equal to 10 is 11.

So, let's consider 11⁴:

11⁴ = 14641 (which is a five-digit number)

p²q:

To minimize the number, we need the smallest prime numbers possible. The two smallest prime numbers greater than 10 are 11 and 13.

Let's consider the product of these two primes:

11² × 13 = 1573 (a four-digit number)

To learn more on Number system click:

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Enter the degree of the polynomial below:
9x2 + 3x8 + 6x + 586 -7x5

Answers

[tex] \large \mathfrak{Answer : }[/tex]

The degree of a polynomial is the highest power among its terms .

i.e 8 for the above expression :

9x² + 3x⁸ + 6x + 586 - 7x⁵

Which of the following is equivalent to 3 up 4

7

81

12

64

Answers

Answer:

81.

If it wrong, then sorry.

1. Write the following numbers in words:
(a) 74 325 (b) 43 711 (c) 19 560
(e) 67 459
(1) 25 302
(g) 36 721
(1) 62 897 () 37 264 (k) 45 129
(d) 75 434
(h) 78 065
(1) 43 275
numerals

Answers

(A) 74,325 seventy-four thousand three hundred twenty-five
(B) 43,711 forty-three thousand seven hundred eleven
(C) 19,560 nineteen thousand five hundred sixty
(E) 67,459 sixty-seven thousand four hundred fifty-nine
(1) 25302 = twenty-five thousand three hundred two
(G) 36,721 thirty-six thousand seven hundred twenty-one
(1) 62,897 = sixty-two thousand eight hundred ninety-seven
() 37, 264 = thirty-seven thousand two hundred sixty-four
(K) 45,129 forty-five thousand one hundred twenty-nine
(D) 75,434 seventy-five thousand four hundred thirty-four
(H) seventy-eight thousand sixty-five
(1) 43, 275 = forty-three thousand two hundred seventy-five

12 more than x
algebra expression

Answers

Answer:

the expression + 12

Step-by-step explanation:

anything that has 'than' after it will be comparing "a" and "b" will be switched

a: 12

b: the expression

a more than b

it'll become

'b + a'

because its comparing both variables of which one is greater than the other in terms of quantity

Answer: 12 + x

Concept:

In mathematics, there are four general wordings for operations:

Addition (+): more than, adding toSubtraction (-): minus, less thanMultiplication (×): multiplied, the product of A and BDivision (÷): Divided by, the quotient of A and B, divide

Solve:

Given expression

12 more than x

Find the corresponding operation

more than →→ refers to addition

(Refer to the list above)

Apply the operation to the expression

[tex]\boxed{12+x}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

I NEED HELP ON THIS!!!

Look at the triangle below.

Which equation is equivalent to the law of cosines?


A

a2=c2−2cx+h2


B

a2=c2−2cx+x2+h2


C

a2=c−x2+h2


D

a2=c2−x2+h2

Answers

Answer:

I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2

Step-by-step explanation:

The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)

cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2

Let's expand this to c^2 -2cx + x^2 = a^2 + h^2

Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2

pls vote me brainliest if i was able to help you!! <3

A t-shirt is on sale for 8% off. The price after the discount is applied is $27.60.
Find the original price of the t-shirt,

Answers

Lassya paid $15. For a T-shirt at the mall. It was on sale for 50% off .what was the original price? $30

solve 4(x-3) -2(x+1) =2​

Answers

Answer:

8

Step-by-step explanation:

4(x-3) -2(x+1) =2​

=> 4x - 12 - 2x - 2 = 2      [opening brackets]

=> 4x - 2x - 12 - 2 = 2

=> 2x - 14 = 2

=> 2x = 14 + 2

=> 2x = 16

=> x = 16/2

=> x = 8

4 ( x - 3 ) - 2 ( x + 1 ) = 2

2 ( x - 3 ) - ( x + 1 ) = 1

2x - 6 - x -1 = 1

2x - x = 1 + 6 + 1

x = 1 + 6 + 1

x = 7 + 1

x = 8

Darnelle works for a real estate agent. She receives a basic wage of $250 per week plus commission on sales. The rate of commission is variable. For houses up to $300,000 the commission is 0.5%. For houses over $300,000, the commission is an additional 0.25% on the amount over $300 000. How much pay did she receive in the week she sold a house for
a. $280 000
b. $428 000

Answers

Answer:

For option A she would receive $1,690. For house B, she would receive $2,070 for a weeks worth of pay.

Step-by-step explanation:

Please mark Brainliest if this helped :)

5x + 4m = 43my + 6 solve for m

Answers

9514 1404 393

Answer:

  m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

  5x +4m -(4m +6) = 43my +6 -(4m +6)

  5x -6 = 43my -4m

  5x -6 = m(43y -4) . . . . factor out m

 (5x -6)/(43y -4) = m . . . . divide by the coefficient of m

Sum is -4
It is an integer question

Answers

Answer:

Yes, this is an integer question.

equivalent expressions-8(3r-4)-6

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-8 (3r - 4) - 6}[/tex]

[tex]\huge\text{= -8(3r) + (-8)(-4) - 6}[/tex]

[tex]\huge\text{= -24r + 32 - 6}[/tex]

[tex]\huge\boxed{\textsf{COMBINE the LIKE TERMS}}[/tex]

[tex]\huge\text{= -24r + 6}[/tex]

[tex]\huge\boxed{\mathsf{Answer: {= -24r + 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A teacher wants to find out the average number of weekly reading hours of her students. She noted the number of reading hours of 5 of her students as shown below:

6, 2, 5, 3, 4

Which measure of central tendency is most appropriate for this situation, and what is its value?

Only the median; 5
Only the mean; 4
Either the mean or median; both are 5
Either the mean or median; both are 4

Answers

Either mean or median; both are 4
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