Jan’s age is 3 years less than twice Tritt’s age. The sum of their ages is 30. Write an equation that could be used to find the age of the students.

Answers

Answer 1

Answer:

x=2y-3

Step-by-step explanation:

x=Jan's age

y=Tritt's age


Related Questions

A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? A. -4 B. -30 C. 4 D. 30

Answers

Answer:

The answer is c

Step-by-step explanation:

You have to do everything backwards,

-9 divide it by 3 to get -3, then add seven to that answer

Answer:

C

Step-by-step explanation:

You can work backward to find out the answer!

Start with -9. Instead of multiplying by 3, you can divide.

-9/3 = -3

Now, instead of decreasing -3 by 7, increase by 7.

-3+7 = 4

You get 4, which is C!

Hope this helps!

Equivalent to 1/2 (36x -14) +(2x-9)?

Answers

Answer:

20x - 16

Step-by-step explanation:

We can first do 1/2 (36x - 14), getting 18x - 7.

Then our expression becomes 18x - 7 + 2x - 9.

We can combine like terms, getting 20x - 16.

How to factorise 9a^2bc^3 -27abc

Answers

Answer:

9abc(ac² - 3)

Step-by-step explanation:

Given polynomial:

9a²bc³ -27abc

Factors of the terms:

9a²bc³ = 3*3*a*a*b*c*c*c27abc = 3*3*3*a*b*c

Common factors of the above:

3*3*a*b*c= 9abc

So the answer:

9a²bc³ -27abc = 9abc(ac² - 3)

If f (x)=|3x-2|. Then what is f(5)

Answers

Answer:

13

Step-by-step explanation:

|3(5)-2|

|15-2|

|13|

13

The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient of the squared term in the parabola equation.

A. -3
B. -4
C. 4
D. 3

Answers

Answer:

[tex]\large \boxed{\sf \frac{1}{9}}[/tex]

Step-by-step explanation:

[tex]\sf y=a(x-h)^2+k[/tex]

[tex]\sf Vertex = (h,k)[/tex]

y-value is 0 and the x value is 5

h = 2

k = -1

[tex]\sf 0=a(5-2)^2+-1[/tex]

Solve for [tex]\sf a[/tex] (the coefficient of the squared term).

[tex]\sf 0=a(3)^2+-1[/tex]

[tex]\sf 0=9a-1[/tex]

[tex]\sf 9a=1[/tex]

[tex]\displaystyle \sf a=\frac{1}{9}[/tex]

The coefficient of the squared term in the parabola equation is 1/9.

Answer:

Fot this parabola the coefficient for squared term is 7

Step-by-step explanation:

The formula for vertex equation is:

x = a*(y-h)^{2}+kx=a∗(y−h)

2

+k

if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values

x = a*(y +1)^{2} -3x=a∗(y+1)

2

−3

The other point of this parabola is (4,0), so we replace it in the formula below:

4 = a*(0 + 1)^{2} -34=a∗(0+1)

2

−3

4 = a*(1)-34=a∗(1)−3

4 +3= a*(1)4+3=a∗(1)

a=7a=7

Find an expression which represents the difference when (-2+9y) is subtracted
from (-6x + 4y) in simplest terms.

Answers

Answer:

-6x-5y+2

Step-by-step explanation:

solve for x ( need asap )

Answers

It is 26 if you needed answer asap

Answer: 26

Step-by-step explanation: the angles are on a straight line and all angles on a straight line add up to 180°, so, you subtract 49 from 180 to get 131 then subtract 1 ( because instead of adding you to subtract to see what was added to get 131) then divide 130 by 5 ( because 5x is the value × 5 ) and you get 26

Select all that apply to the given number.
2/3
Real
Irrational
Rational
Interger
Natural

Answers

Answer:

2/3 can be classified as..

rational

Step-by-step explanation:

It can be classified as a rational number because it can be in the form of p/q as of fraction and is made up of two integers making p the numerator and for q a denominator not involving a zero.

Answer:

real

rational

Step-by-step explanation:

The term "elevation" is often used to describe the height of a place (such as a city, a mountain, or a valley) compared to sea level. For example, the city of Houston, Texas has an elevation of 105 feet. The surface of the sea has an elevation of 0 feet. Some places are below sea level, so their elevations are negative values. Two towns have different elevations, but when the elevations are used as inputs of , they both produce an output of 25. Why do they produce the same output?

Answers

Answer:

obviously they will produce same output because the elevation of object and image will be same

What is the dependent and independent variable?and
What is the (x) and (y) axis?

Answers

Answer:

and independent variable It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable. and a Just like an independent variable, a dependent variable is exactly what it sounds like. It is something that depends on other factors. For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.

7) If AB = 3x - 8 and BC = x + 12, find the value of x.​

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

In a square ABCD, if AB = (3x-8) and BC = (x+12), find the value of x. Also, find the length of each side of the square.

Note that all sides of a square are equal. Hence AB = BC for the square ABCD.

Given AB = (3x-8) and BC = (x+12), then AB = BC

3x-8 = x+12

collect like terms;

3x-x = 12+8

2x = 20

x = 20/2

x = 10

Substitute x = 10 into any of the side. Using side AB

AB = 3x-8

AB = 3(10)-8

AB = 30-8

AB = 22

BC = x+12

BC = 10+12

BC = 22

Hence x = 10 and the length of each side is 22

PLEASE HELPP I HAVE TO TURN THIS IN TODAY

Answers

Answer:

a translation is the movement of the shape from units left to right or up and down so its basically scooching over to the left for example but the size or shape doesn't change, hope this helped

Step-by-step explanation:

7w=1/2(w+v)
Solve for v.

Answers

Answer:

v = 13w

Step-by-step explanation:

[tex]7w = \frac{1}{2} (w+v)\\\\7w =\frac{(w+v)}{2} \\\\Cross\:Multiply\\7w\times 2 =w+v\\\\14w = w+v\\\\Collect\:like\:terms\\14w-w =v\\\\v = 13w[/tex]

For every 3 days of vacation, Farah packs 4 outfits. Which of the following statements are true. Please hurry with the answer

Answers

Answer:

choice b d and e

Step-by-step explanation:

Divide 26hours and 6minutes by 6.

Answers

26hrs and 6mins = 1566mins
1566mins divide by 6 = 261mins

Answer: 261mins or 4hrs and 21mins

Answer:

26 hours + 6 minutes can also be said as 1560 min + 6 minutes

1560+6/6 = 1566/6 = 261

That is = 4 hours and 21 minutes

WILL GIVE BRAINLIEST!!!!!!!!!
Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.

Answers

Answer/Step-by-step explanation:

The scale factor = the ratio of the corresponding sides of the image and the preimage.

That is, A'B'/AB = B'C'/BC

The preimage is the smaller figure, given as ABCD.

AB = 3 - 1 = 2 units

BC = 4 - 1 = 3 units

The image is the larger figure, given as A'B'C'D'.

A'B' = 9 - 5 = 4 units

B'C' = 7 - 1 = 6 units

Scale factor = [tex] \frac{4}{2} = \frac{6}{3} = 2 [/tex]

g + 10 = 3g what does this look like in a verbal expression

Answers

"G plus Ten equals Three-G".

or

"The Variable G plus Ten equals Three-G".

The verbal expression is you putting it in the way that you would say the expression.

~

Answer:

The sum of a number and 10 is equal to three times that number.

Step-by-step explanation:

Break the parts down and put them together.

The sum of a number and 10: 'g + 10'

Is equal to: '='

Three times that number: '3g'

So:

The sum of a number and 10 is equal to three times that number: 'g + 10 = 3g'

Hope this helps.

5 less than a number is equivalent to 1 more than 3 times the number. What is the number

Answers

Answer:

5-x=1+3x  the number is 1

Step-by-step explanation:

what's the answer? (5-1×2×6)+1×0 =

Answers

Answer:

-7

Step-by-step explanation:

Answer: -7

explanation: simplify the expression

brainliest or a thank you please :)) <33

the clockwise distance between North east and south west is ​

Answers

Answer :

Say it is two o'clock, draw an imaginary line between the hour hand and twelve o'clock to create the north-south line. You know the sun rises in the east and sets in the west so this will tell you which way is north and which way south. If you are in the Southern Hemisphere then it will be the other way round.

Please mark me as a brainlist...... Please follow me.......

PLEASE HELP I WILL GIVE 20 POINTS TO BRAINLIEST!

Answers

Answer:

[See Below]

Step-by-step explanation:

C.

The solution to this is x ≤ 4.

So then we look at the graphs and choose the correct one.

When the sign is ≤ it's like an arrow whatever way it's pointing it goes that way. In this case it'd go the other way even though the sign is ≤, because the solution is stating 4 is greater then or equal to so it can't be less than 4. And the only option of +4 and higher is C.

Can you help me with this assignment? ​

Answers

Answer:

AC =5

BC =  12

AB = 13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

(n-1)^2 + (2n)^2 = (n+7)^2

FOILing

n^2-2n+1  + 4n^2 = n^2+14n+49

Combine like terms

5n^2-2n+1   = n^2+14n+49

Bring everything to the left

5n^2-2n+1 -n^2-14n-49  = n^2+14n+49-n^2-14n-49

4n^2 -16n -48 = 0

Divide by 4

n^2 -4n -12 = 0

Factor

( n-6)(n+2) =0

Using the zero product property

n-6 =0  n+2 =0

n=6    n=-2

Since the length cannot be negative

n=6

AC = n-1 = 6-1 =5

BC = 2n = 2*6 = 12

AB = n+7 = 6+7 = 13

Given :

Hypotenuse of right angle triangle = n + 7

Base = n - 1

Altitude = 2n

Using Pythagoras theorem :

→ ( n + 7 )² = (n - 1)² + (2n)²

→ n² + 14n + 49 = n² - 2n + 1 + 4n²

→ n² + 14n + 49 = 5n² - 2n + 1 = 0

→ n² + 14n + 49 - 5n² + 2n - 1 = 0

→ -4n² + 16n + 48 = 0

→ -4(n² - 4n - 12) = 0

→ n² - 6n + 2n - 12 = 0

→ n(n - 6) + 2(n - 6) = 0

→ (n - 6)(n + 2) = 0

As n ≠ Negative

So, n ≠ -2

So, n = 6

Hypotenuse = n + 7 = 6 + 7 = 13

Base = n - 1 = 6 - 1 = 5

Altitude = 2n = 2 × 6 = 12

So,

AB = 13

AC = 5

BC = 12

The gas tank of your car holds 10 1/3 gallons of gas. Your tank is one-quarter full. How much gas should you add to fill up your tank?

Answers

Answer:

4  1/4

Step-by-step explanation:

10 1/3 = 33/3      33/3  divided by 4 = 33/12      so one quarter of your tank can hold 33/12

now just do 33/12 times 3 which is 33/4 or simplified 4  1/4

9. In the expression 4(2m-n), determine which of the following best describes the role of (2m-n).
A. 2m-n) is a factor.
B. 2m-n) is a term.
C. 2m-n) is a number.
D. 2m-n) is a coefficient.

10. In expression 4(2m-n) determine which of the following best describes the role of 2m.
A. 2m is factor
B. 2m is term
C. 2m is number
D. 2m is coefficient


Answers

Answer:

b

Step-by-step explanation:

2m is term because it is what you are looking for

In the expression 4(2m-n), (2m-n). is a term and  In expression 4(2m-n), 2m is also a term. The correct options are B and B for both.

What is a term in an expression?

One mathematical expression makes up a term. It could be a single variable (a letter), a single number (positive or negative), or the number of variables multiplied but never added or subtracted.

Variables in certain words have a number in front of them. A term is defined as a single number or single variable or number and variable multiplying with each other in a mathematics expression.

The first expression is 4(2m-n), then in the expression 2m - n will be the term of the expression.

The second expression is 4(2m-n), then in the expression 2m is the term of the expression.

Therefore, the expression 4(2m-n), (2m-n). is a term and  In expression 4(2m-n), 2m is also a term.

To know more about a term in an expression follow

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<3 WILL MARK BRAINLIEST! (´°0 °`)
~~~~~~~~~............~~~~~~~~~....><
using complete sentences discuss a different kinds of real numbers in your answer. Give an example of each type and discuss which set each type.​

Answers

Answer:

Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

There are 4 types of real numbers.

Rational Numbers

Irrational Number

Natural Numbers

Whole Numbers

What are the real numbers?

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers.

Rational Numbers; Any number specified in the form of a p/q or ratio fraction is called a rational number. The numerator is defined as p, and the denominator is represented as q, where q is not equal to zero. A rational number may be an integer, whole, and natural number.

For example: 0.67, 17, 214, etc.

Irrational Number; Irrational numbers are defined as the real number that cannot be represented as a simple fraction. In other words, it cannot be represented as a ratio, such as p/q, where p and q are integers, q≠0. It is the opposite of rational numbers.

For example; √5, √11, √21, etc.

Natural Numbers; An integer greater than 0 is a natural number. Natural numbers start at 1 and move to infinity.

For example; 1, 2, 3, 4, 5.

Whole Numbers; The whole number is the number system that contains all positive integers from 0 to infinity. The whole number is an integer of 0 or greater numbers.

For example: 1, 2, 3, 4, 5…..

Learn more about real numbers here;

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Translate the algebraic expression to a verbal expression: 3 + 1/2x

Answers

Answer:

I'm not sure but I believe it is "Three plus one-half times x."

Bentley signed up for a streaming music service that costs $13 per month. The service
allows Bentley to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.75 per song. How much total money woul
Bentley have to pay in a month in which he downloaded 10 songs? How much would
he have to pay if he downloaded s songs?

Answers

Answer: Bentley have to pay  $20.5 in a month in which he downloaded 10 songs.

Bentley have to pay  $(13+0.75s) in a month in which he downloaded s songs.

Step-by-step explanation:

As per given,

Total amount need to pay = (Monthly cost) + (Number of songs downloads)  x (Charges for each song)

Here, Monthly cost = $13

Charges for each song = $0.75

If Number of songs downloads = 10

Then, Total amount need to pay = $ (13 +(10) (0.75))

= $( 13+7.5)

= $ 20.5

So, Bentley have to pay  $20.5 in a month in which he downloaded 10 songs.

If Number of songs downloads = s

Then, Total amount need to pay (in $) = 13 + (s)(0.75)

= 13+0.75s

So, Bentley have to pay  $(13+0.75s) in a month in which he downloaded s songs.

If Number of songs downloads = 10

$ 20.5

If Number of songs downloads = s

13+0.75s

how do i solve number 8 and 9?

Answers

Answers & Step-by-step explanation:

A square root is a number that when multiplied by itself, equals the number you were asked to square root. For example, 2 is the square root of 4, because 2 x 2 = 4.

There is a method in algebra to simplify square roots into smaller square roots, where one can be solved. To do this, we need to find a perfect square that can be multiplied with the other square root to equal the number you were asked to square root.

Now, let's solve your problems!

___________________________________________________________

5.

[tex]\sqrt{56}[/tex] = [tex]\sqrt{2^{2} * 14[/tex]

Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.

[tex]2\sqrt{14}[/tex]

Since we can't solve [tex]\sqrt{14}[/tex], this is the final answer that your assignment is wanting.

___________________________________________________________

6.

[tex]\sqrt{84}[/tex] = [tex]\sqrt{2^{2} * 21[/tex]

Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.

[tex]2\sqrt{21}[/tex]

Since we can't solve [tex]\sqrt{21}[/tex], this is the final answer.

___________________________________________________________

7.

[tex]\sqrt{-9}[/tex] = [tex]\sqrt{-1 * 9}[/tex]

Now, since this the number is negative, we must separate the negative out. so [tex]\sqrt{-9}[/tex] becomes [tex]\sqrt{-1 * 9}[/tex]. Since the square root of 9 is 3, we can rewrite this as:

[tex]3\sqrt{-1}[/tex]

However, since [tex]\sqrt{-1}[/tex] is imaginary, we must replace it with i. This also allows us to get rid of the square roots.

The answer becomes:

3i

___________________________________________________________

8.

[tex]3\sqrt{18}[/tex]

This one is already partly simplified. Notice how the 3 is not under the radical. The only thing we have to work with is the [tex]\sqrt{18}[/tex].

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9 * 2}[/tex]

We can square root 9 to get 3.

[tex]3\sqrt{2}[/tex]

Now, we multiply back the 3 from earlier to get:

[tex]9\sqrt{2}[/tex]

___________________________________________________________

9.

[tex]\sqrt{28a^{2}b^{3} }[/tex]

This one may look daunting because we have the variables, but we can break it down and solve it just as easily as the rest. The first step is to square root the a² term, the answer is a. We can rewrite this as:

[tex]a\sqrt{28b^{3} }[/tex]

Next, we need to simplify [tex]\sqrt{28}[/tex], just like we did with all the other problems.

[tex]\sqrt{28}[/tex] = [tex]\sqrt{4 * 7}[/tex]

Since [tex]\sqrt{4}[/tex] is 2, we can move it out of the radical.

[tex]\sqrt{28} = 2\sqrt{7}[/tex]

Since we can do anything with the [tex]b^{3}[/tex] term, that stays under the radical.

The answer is:

[tex]2a\sqrt{7b^{3} }[/tex]

___________________________________________________________

I AM ALWAYS HAPPY TO HELP :)

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars

Answers

Answer: Phelan now have 44.69 US dollars. of the original 250 US dollars.

Step-by-step explanation:

Given, Phelan spent 150 euros on his trip.

1 European euro = 1.3687 US dollars

So, 150 euros = 150 × 1.3687 US dollars

= 205.305 US dollars

≈ 205.31 US dollars [ Rounded to the nearest cent. ]

Initially he had 250 US dollars, now he has left (250-205.31)US dollars that is

44.69 US dollars.

Hence, Phelan now have 44.69 US dollars. of the original 250 US dollars.

Phelan now have 44.69 US dollars. of the original 250 US dollars.

7.777 rounded to the nearest hundreths

Answers

Answer:

7.77

Step-by-step explanation:

just take off the 7 in the 100ths place :)

Answer:

7.800

Step-by-step explanation:

Because 7 is close to 8 so it would turn into 800

hope this helps ;)

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