Mathematics Middle School

I am k years old and my daughter is y years younger.
What is the sum of our ages?
What will be the sum of our ages next year?
What will be the difference of our ages next year?
The sum of our ages is
, the sum of our ages next year will be
, the difference of our ages next year will be

Answers

Answer 1

Answer:

sum: k + (k-y)

next year : (k+1) + ((k+1) -y))  or (k+ (k-y)) + 2

Difference: No matter what year it is the difference between the ages is the same... so (k + (k-y)) ?

Step-by-step explanation:

I hope this helps

Answer 2
Final answer:

This year, the sum of your ages is 2k - y. Next year, the sum of your ages will be 2k - y + 2, and the difference in your ages will remain y.

Explanation:

If you are k years old and your daughter is y years younger, then your daughter's age is 'k - y'. The sum of your current ages is k + (k - y), which simplifies to 2k - y.

Next year, both of you will be one year older. Therefore, the sum of your ages next year would be '(k + 1) + (k - y + 1)', which simplifies to 2k - y + 2.

The difference in your ages next year would still be 'y' because the ages increase uniformly and the difference between your ages doesn't change.

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Related Questions

A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?

Answers

The number 4 will be rolled 1/6 times, because there are 6 numbers on a die and 4 is only on there once, so the chance of it being a 4 is 1/6. Hope this helped! :)

Answer:

(100) (1/6)

A cube has six sides the odds of rolling a four is 1 in 6 and you rolled a 100 times


China has a population of approximately 1,322,000,000 people. Express this number in scientific notation. A) 1.322 x 109 B) 1.322 x 10-9 C) 1.322 x 10−8 Eliminate D) 13.22 x 108

Answers

That would be 1.322 x 10^9

Its A
Okay. So, scientific notation is when a number greater than one but less than 10 is multiplied by a power of 10. The number that is being multiplied has to be a decimal. In word form, this number is one billion, three hundred twenty-two million. The decimal would be 1.322. D is eliminated, because it does not have that correct. A is wrong, because you don't multiply by 109 to get the answer. 10^8 is 100,000,000 and 10^9 is 1,000,000,000. 1.322 * 10^8 would give us 132,200,000. That's not the number we're looking for. 1.322 * 10^9 would give us 1,322,000,000. That is the number we're looking for. The answer is B.

3.4 in word and expanded form

Answers


Three and four tenths.

3 + 4/10

please help , I have no idea of how to do this

Answers

Hello!

The time difference between checkpoint 1 and checkpoint 2 is an hour and a half. 
At checkpoint A, the total amount of miles driven is 120. At checkpoint B, the total amount of miles driven is 195. 
To find the amount of miles driven between checkpoint 1 and 2, you will subtract the amount of miles at checkpoint 1 from checkpoint 2:
195-120= 75

The car drove 75 miles between 1:00pm to 2:30 pm. Because the total time between the checkpoints was an hour and a half, we can divide it by three (90 minutes total). We also need to divide the number of miles (75) by three to find an accurate answer. 
90/3=30
75/3=25

The car drove 25 minutes in half an hour. Now, one hour consists of 60 minutes, so we will multiply both calculations by 2 (for the total hour and the total amount of miles driven in the hour):
30x2=60
25x2=50

The car drove 50 miles per hour between checkpoints A and B. 

I hope this helps you! Have a great day!

John has a bag of marbles that contains 12 red marbles, 20 green marbles, and 17 blue marbles. Homework Help ✎ If John pulls one marble out of the bag, what is the probability that it will not be red? That is, P(not red)?

Answers

P(not red)= 37/49
You add all of the marbles together and then subtract the number of red marbles.

13 tenths+8 tenths+32 hundredths

Answers

The value of 13 tenths + 8 tenths + 32 hundredths is 2.42.

Here's how we can break it down:

Convert tenths and hundredths to decimals:

13 tenths = 13/10 = 1.3

8 tenths = 8/10 = 0.8

32 hundredths = 32/100 = 0.32

Add the decimal values:

1.3 + 0.8 + 0.32 = 2.42

Therefore, 13 tenths + 8 tenths + 32 hundredths equals 2.42.

Complete question:

Solve this: 13 tenths+8 tenths+32 hundredths

∠A
and ​
∠B
​ are vertical angles with 
m∠A=x
and 
m∠B=4x−30
.
What is
m∠A
?

Answers

Answer:

m∠A=10°

Step-by-step explanation:

we know that

Vertical angles are the angles opposite each other when two lines cross. The angles are congruent.

so

In this problem we have

m∠A=m∠B

substitute the given values

[tex]x=4x-30[/tex]

Solve for x

[tex]4x-x=30\\3x=30\\x=10[/tex]

Find the measure of angle A

m∠A=x

substitute the value of x

m∠A=10°

What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?

y+2=13(x+6)

y−6=13(x−2)

y+6=13(x+2)

y−2=13(x−6)


30 pts
plz help need to get an a or i die by my mom :P

Answers

It is the 3rd answer, y+6= 13(x+2) since the the point slope formula is 
y-y1 = m(x-x1)

you plug the y-value of the coordinate point into y1 and you plug the x-value of the coordinate into x1. You plug the slope into m.
Final answer:

The equation of the line in point-slope form that passes through (-2, -6) and has a slope of 13 is y + 6 = 13(x + 2).

Explanation:

The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.



To find the equation of the line that passes through (-2, -6) and has a slope of 13, we can substitute the values into the formula:



y - (-6) = 13(x - (-2))



Simplifying this equation, we get y + 6 = 13(x + 2). Therefore, the correct equation of the line in point-slope form is y + 6 = 13(x + 2).

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What is the answer to a and b please and thank you

Answers

a.) according to the graph, Austin appears to be burning 10 calories per minute. If you look at a perfect point on the graph, which I chose (50,5) and you do x over y or calories per minute, you get a unit rate of 10 calories per minute.

b.) Since you have already found the unit rate in question a, your slope would be 10. 

what is the greatest common factor of x2y and xy2 ?

BTW, the twos are supposed to be small and in the top right corner of the number before it, but it won't let me put it there.

Answers

GCF of :2xy and 2xy
   

2(x+y)

what is the perimetee of a square with the area of 121

Answers

rt(121) = 11

11 is one side of the square
Since a square has 4 sides:

11(4) = 44

Your answer for perimeter is 44 

hope this helps

Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn. He then packaged it in bags that each contained 0.27 pounds. How many bags could he fill?

Answers

So add up everything except the last number and then divide it by 0.27

Answer:

Number of bags Arturo can fill = 16

Step-by-step explanation:

Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn

Total pounds of mix = 1.24 + 0.78 + 0.3 + 2 = 4.32 pounds

He then packaged it in bags that each contained 0.27 pounds.

Capacity of each bag = 0.27 pounds

[tex]\texttt{Number of bags he can fill =}\frac{\texttt{Total pounds of mix}}{\texttt{Capacity of each bag}}\\\\\texttt{Number of bags he can fill =}\frac{4.32}{0.27}\\\\\texttt{Number of bags he can fill =}16[/tex]

Number of bags Arturo can fill = 16

How do you write 6.67 × 102 in standard form

Answers

Standard form refers to the regular way you write out a number, such as 4,300, as opposed to scientific notation, which is 4.3 x 10^3, or in expanded form, such as 4,000 + 300. You can convert numbers large and small to standard form in a few steps.

STANDARD FORM WITH LARGE NUMBERS

To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:

10 x 10 x 10 x 10 = 10, 000

Plug the product -- which is 10,000 -- into the original equation to get this:

1.5625 x 10,000 = 15, 625

Therefore, the standard form of this number is 15,625.

For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:

10,000 + 2,000 + 100 + 10 + 9 = 12,119

Therefore, the standard form of the number is 12,119.

STANDARD FORM WITH SMALL NUMBERS

Small numbers, such as those less than one, can also be converted to standard form. For example, consider the scientific notation 5 x 10^-2. Start with 10^-2, and note that the exponent is negative, which in this case, is negative two. This indicates that the number will be a decimal, with the decimal point moving twice to the left of the base number, which in this case, is 10. This would give you 0.01. Your equation will look like this:

10^2-1 = 0.01

Plug in this value, which, in this case is 0.01, into your original equation to get this:

5 x 0.01 = 0.05

Therefore, the standard form of this number is 0.05.

Convert small numbers presented in expanded form, such as 0.0003 + 0.001 + 0.02 by adding like this:

0.0003 + 0.001 + 0.02 = 0.0213


if the length and width of a rectangle quadruple what happens to the area

Answers

A = hw
Replace h with 4h
Replace w with 4w
A = (4w)(4h)
= 16hw

The area becomes 16 times larger.

Have an awesome day! :)

The area of the rectangle becomes 16 times the previous one.

Given that,
The length and width of a rectangle quadruple what happens to the area is to be determined.

What is a rectangle?

the rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

What is surface area?

Surface area is defined as the area of the surface that is uncovered.

Here,
The length(L) = 4 L
The width (W) = 4W
area of the rectangle = length * width = LW
The new area of the rectangle = 4L * 4W
                                               = 16 LW
                                               = 16 * area of the rectangle.

Thus, the area of the rectangle becomes 16 times the previous one.

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Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h? Enter your answer in the box.

Answers

One way to determine the "unit rate" here would be to multiply both "60 pages" and "(3/4) hour" by 4/3:

            60 pages       per      3/4 hour

        (4/3)(60 pages   per     (4/3)(3/4) hour

            80 pages        per      hour 

You could also solve this by using an equation of ratios:

60 pages              x
------------- = ---------------
 (3/4) hr            1 hr

Solving this results in x = 80 pages.

If Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).

Given:

Number of pages Shaun read in 3/4 h = 60 pages

Thus, to find the unit rate that represents number of pages to be read by Shaun in 1 hour,

let x = number of pages read in 1 hour.

The following proportion would be created:

60 pages = 3/4 h

x pages = 1 h

Cross multiply

[tex]\frac{3}{4} \times x = 1 \times 60\\\\\frac{3x}{4} = 60[/tex]

Multiply both sides by 4

[tex]3x = 60 \times 4\\\\3x = 240\\\\[/tex]

Divide both sides by 3

x = 80

Therefore, if Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).

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the line parallel to x-3y=-12 that passes through (-3,4)

Answers

x-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5

The equation of the line parallel to x-3y=-12 that passes through (-3,4) is y=x/3+5.

What is the standard equation of a line?

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The line function equation is

x - 3y = -12

y = (1/3)x +4

When a line is parallel to another line, the slope of the lines is same.

So, the slope of the line parallel to the line x - 3y = -12 is 1/3

y = (1/3)x +c

As the line passes through the point (-3,4)

4 = (1/3) * (-3) +c

4 = -1 +c

c = 5

The equation is

y=x/3+5

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A gym holds one 60-minute exercise class on Saturdays and several 45-minute classes during the week. Last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of weekday classes.

Answers

Use x for the number of 60-minute classes and y for the number of 45-minute classes. The equation would be

60x+45y=258

because both classes have a sum of 258 when they are combined.
45(6)+15= 285 not counting the 60?

please help to solve the equations!

1) 3(k+5)=-2(3k-6)

2)1/2r+4=3/4r-3/2

3)2a-9=2a+5

4)8m+2+4m=2(6m+1)

Answers

Glad to help, but in my view "helping" means providing you with assistance only after you've begun your own efforts to solve these problems.

Look at    3(k+5)=-2(3k-6).  Goal:  Solve for k.
Multiplying where indicated:

             3k + 15 = -6k + 12

Add 6k to both sides:         9k = 12 - 15

dividing both sides by 9:  k = -3/9, or    k = -1/3   (answer).

Please start one of the other solutions; ask if you have questions about it.

(4 - 1)[(1 + 6) + 2]

Answers

1+6 = 7
7 + 2 = 9

4 - 1 = 3

(3)(9) = 27

27 is your answer

hope this helps
To solve this equation, you would need to use the order of operations or PEMDAS. 
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

First, you would solve what is inside the innermost parentheses. 
(4 - 1)[(1 + 6) + 2] 
(4 - 1)[ 7 + 2]

(4 - 1)[ 7 + 2]
(4 - 1)[ 9 ]

(4 - 1)[ 9 ]
3 × 9 = 27

Your answer would be 27. 

I hope this helps!

Select the correct rate of change and y -intercept for the linear function that contains the points (4, 6) and (5, 3).



The rate of change is −1/3, and the y -intercept is 7 1/3


The rate of change is –3, and the y -intercept is 18.


The rate of change is 3, and the y -intercept is –6.


The rate of change is 1/3, and the y -intercept is 4 2/3

Answers

sorry that answer was not right
If you haven't found the answer its C I may be wrong it maybe be B but I'm pretty sure its C because the slope aka (Rate of change) Is 3.

Who ever helps will get 15 points and a thanks what are some ways you could break apart 7✖️9 using distributive property Tks and u will win your reward

Answers

( 5+2 ) x 9 equals 63 which is the same thing as 7x9
You could do (6+1)•9 which would equal to 63

Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 

12

2

5

% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
please help

Answers

Ok, so if it has increased over three years by twelve percent, take .12 (12% in decimal form) and multiply it by 750 to get 90. Take 90 and multiply it by 3 to get 270. 270 is how much the value has increased over 3 years. So then just add 270 to 750 to get your answer of 1020. 1020 is how much the stock is worth after 3 years increasing at 12%. Just follow the same steps for 2% and 5% as I showed you with the 12%. 
As everyone says (lol) hope this helps :D

Find the 12th term of this sequence: f(n)=5/n

Answers

Just let 12 replace n in the given function.  Then f(12) = 5/12.

3/7 - 10/7 Write fractions in simplest form

Answers

3/7 - 10/7
= - 7/7
= -1

answer
-1

the sum of two integers is 6 create a list of the possible two integers

Answers

5 + 1
4 + 2
3 + 3

are some examples

hope this helps
1+5
3+3
4+2
-6+12
-4+10
-5+11
-2+8
-1+7
-3+9

Here r some possible two integers
Hope it helps

simplify:
-4x^2(3x-7)

Answers

The answer is:  " -12x³ + 28x² "  .
___________________________________________
Explanation:
___________________________________________
Note the "distributive property of multiplication" :
___________________________________________a(b+c) =  ab +  ac ;a(b−c) =  ab − ac ;___________________________________________
So;  given:  " - 4x² (3x - 7) " ;

 →   - 4x² (3x − 7) ;
             = [ -4x² * 3x ]  −  [- 4x² * -7 ]  ;
 
             =  -12x³ − (28x²) ;

             =  -12x³ − 28x²  .
_______________________________________________________

how do I solve this problem −24−18p=38p?

Answers

To solve the equation
-24 - 18p = 38p, add 18p to both sides to combine like terms, then divide by 56 to isolate p, resulting in p = -3/7.

To solve the algebraic equation
-24 - 18p = 38p, we need to isolate the variable p on one side of the equation. Here's a step-by-step solution:

Combine like terms by getting all the terms containing p on one side of the equation. To do this, add 18p to both sides:

-24 - 18p + 18p = 38p + 18p

-24 = 56p

Now divide both sides by 56 to solve for p:

-24 / 56 = 56p / 56

-3/7 = p

The solution to the equation is p = -3/7.

Write the value of the digit of 281'480'100

Answers

Ummmm....
one hundred thousands place
i don't get what u mean by it

Twelve more than three times a number equals two times the number. What is the number?

Answers

12+3x=2x
12=-x
-12=x
the number is negitive 12

How are ratios, rates, and unit rates used to solve problems?

Answers

Make tables of equivalent ratiosrelating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. Solve unit rate problems including those involving unit pricing and constant speed. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit ratewith 1 as the second term.

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