A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages​

Answers

Answer 1
student:: 15 years
teacher:: 30 years
Answer 2

Answer:

teacher's age: 30

student's age: 15

Step-by-step explanation:

T = 15 + S

from above,

(T+15)/(s+15) = 3/2

by substitution,

(15+S +15)/(S+15) = 3/2

cross multiply,

2(S+30) = 3(S+15)

2S + 60 = 3S + 45

60 = S + 45

s = 15

T = 30


Related Questions

The volume of a cylinder is 10.14 cudic centimeters. If a cone has the same height and radius as the cylinder, what is its volume?

Answers

Answer:

3.38 cm^3

Step-by-step explanation:

volume of cylinder = pi r^2 h

    10.14 / pi  = r^2 h

volume of a cone =  1/3  pi r^2  h

     V  = 1/3 pi  (10.14/pi)   = 3.38

It says "write the fraction in the simplest form." i want the answer, the fraction is '27/36'

Answers

Answer:

3/4

Step-by-step explanation:


For the curve y=x^4+1, find the gradient of the secant between the point (1, 2) and
the point where x=1.01.

Answers

Answer:

4.06.

Step-by-step explanation:

Where x = 1.01,  y = (1.01)^4 + 1 = 1.0406 + 1

= 2.0406

So the gradient between (1, 2) and (1.01, 2.0406)

= (2.0406 - 1)/(1.01 - 1)

= 4.06.

please help me? tysm!!!!!!!​

Answers

Answer:

Round 55.99 to the nearest tenth is: 56.0

What is the approximate side length of the square? 3. 0 units 3. 5 units 4. 2 units 4. 9 units.

Answers

Answer:

4.9 units

Step-by-step explanation:

Read the short selection and answer the questions from 11 to 16. Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.
__________________.

Answers

Answer:

can you add more context to the question it makes no sense with current given clues

help please this is hardddddddd

Answers

Answer:

#1: 4) D

#2: 1) 34.89 = 3 × C

#3: 4) 6y + 18

Step-by-step explanation:

#1

Using the distributive property:

3 × 5z = 15z

3 × -3 = -9

The correct expression is 15z - 9. Hence, D is the right option.

#2

You need to find the cost of each box.

3 × C = 34.89

34.89 ÷ 3 = 11.63

3 × 11.63 = 34.89

Hence, 1) is the right option.

#3

Using the distributive property:

6 × y = 6y

6 × 3 = 18

The expression is 6y + 18. Hence, 4) is the right option.

hope this helps!! p.s. i really need brainliest :)

Answer:

1. #4, D

2. #1, 34.89 = 3 x c

3. #4, 6y + 18

Step-by-step explanation:

1. Which pair of expression are equivalent (=)?

A.

10c + 20 = 5(5c + 4) <== distribute

10c + 20 = 25c + 20

This pair is not equivalent

B.

3(4e -  2) = 7e - 5 <== distribute

12e - 6 = 7e - 5

This pair is not equivalent

C.

4(4h + 6) = 16 + 24 <== distribute

16h + 24 = 16 + 24

This pair is not equivalent (look carefully, it's missing an h)

D.

15z - 9 = 3(5z - 3) <== distribute

15 - 9 = 15z - 3

This pair is equivalent

Therefore, the correct answer is D

2. Mr. James bought 3 boxes of pencils for $34.89. Each box of pencils costs the same. Which equaiton can be used to find the cost, c, of each box?

We know that 3 boxes of pecils cost $34.89, and c represents the cost of one box. If c represents the cost of one box and there are 3 boxes, it would be 3c or 3 x c.

Looking at the answer choices, #1 is the only option that represents that.

Therefore, the correct answer is 1) 34.89 = 3 x c

3. Aidan wrote an expression 6(y + 3). Which expression is equivalent to the one Aidan wrote?

6(y + 3) <== distribute

6y + 18

Therefore, the answer is 4) 6y + 18

Hope this helps!

Is this correct please give correct answer but no links

Answers

Answer:

I give answers I think their correct but as humans we make mistakes so there may be errors

Find the area of the given triangle. Round your answer to the nearest tenth.

A right triangle with a base of 36. The angle of elevation is 25 degrees.

Group of answer choices

302.2 units squared

1 comma 389.6 units squared

766.6 units squared

Answers

Using relations in a right triangle, it is found that it's area is of 302.2 units squared.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:

[tex]\tan{25^\circ} = \frac{x}{36}[/tex]

[tex]x = 36\tan{25^\circ}[/tex]

x = 16.79.

What is the area of a right triangle?

It is given by half the multiplication of it's sides, hence:

A = 0.5 x 16.79 x 36 = 302.2 units squared.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

No trolls or links or i will report

Answers

Answer:

92.4 ft²

Step-by-step explanation:

Total surface area comprises one rectangular base and two pairs of diferent triangles.

Area of rectangle

A = lw

Area of triangle

A = 1/2bh

Substitute and find

A = 7*4 + 2(1/2*4*6.3) + 2(1/2*7*5.6) = 92.4 ft²

Area of base rectangle

7(4)28ft²

Area of rest triangles

2(1/2BH)+2(1/2bh)BH+bh4(6.3)+7(5.6)64.56ft²

Now

TSA

64.56+2892.56ft²

PLEASE HELP IM SO CONFUSED
Which of the following is a solution for the inequality 2x < 9?
OX= 5.5
O x= 4.5
O x = 6
OX= 4

Answers

I think answer is 4

Step-by-step explanation:

I think so the answer is 4 because the questoin is 2x <9 2 time x =the answer and 2 times 4 = 8 and it is smaller than 9 and if we will do the same with the other numbers it will be greter than 9

solution:

2 x < 9

x = 4

2 × 4 = 8

and it is smaller than 9

like this :

8 < 9

this is what I think other wise I am not sure thankyou

i need help 9th grade math

Answers

Answer:

-x + 1

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x + 2

we want to find (f-g)(x)

(f-g)(x) is the same as saying f(x) - g(x)

f(x) - g(x) = (2x + 3) - (3x + 2)

==> remove parenthesis and apply negative sign

f(x) - g(x) = 2x + 3 - 3x - 2

==> combine like terms

f(x) - g(x) = -x + 1

(f-g)(x)f(x)-g(x)

Put values

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

Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since spring started. Use the 2 given points to write a linear equation that can be used to approximate the data distribution. ​

Answers

Answer:

y = 1566.67x + 1716.67

is the actual answer..

The linear equation that can be used to approximate the data distribution is y = 1566.67x + 1716.67.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given two points on the line.

(0.5, 2500) and (3.5, 7200)

Slope intercept form of a linear equation is y = mx + c, where m is the slope and c is the y intercept.

Slope = (7200 - 2500) / (3.5 - 0.5)

          = 4700 / 3

          = 1566.67

So the equation is, y = 1566.67x + c

Substitute the point (0.5, 2500) to the equation.

2500 = (1566.67 × 0.5) + c

c = 1716.67

So the equation is, y = 1566.67x + 1716.67

Hence the required equation is y = 1566.67x + 1716.67.

Learn more about Linear Equations here :

https://brainly.com/question/29739212

#SPJ2

Order the steps to solve the equation
log(x^2-15)= log(2x) form 1 to 5

x^2-2x-15=0
Potential solutions are -3 and 5
x^2-15=2x
x-5=0 or x+3=0
(x-5)(x+3)=0

Answers

Answer:

Step-by-step explanation:

When the base of a logarithm is not specified, it is assumed that the base is 10. Therefore we have:

[tex]log_1_0(x^2-15)=log_1_0(2x)[/tex]

Intuitively you can see that if the two arguments inside of the logarithm equal each other, then both sides will be equal to each other. Therefore, you can say the following requirement:

[tex]x^2-15=2x[/tex]

Subtract 2x on both sides to get:

[tex]x^2-2x-15=0[/tex]

Use the quadratic formula to solve for 'x' to get:

[tex]x=(-b+\sqrt{b^2-4ac} )/2a[/tex]

[tex]x=(-b-\sqrt{b^2-4ac} )/2a[/tex]

Beginning with the first solution:

[tex]x=(-(-2)+\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]

[tex]x=2+\sqrt{4+60} )/2[/tex]

[tex]x=(2+\sqrt{64}) /2[/tex]

[tex]x=(2+8)/2[/tex]

[tex]x=5[/tex]

Second solution:

[tex]x=(-(-2)-\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]

[tex]x=(2-\sqrt{4+60} )/2[/tex]

[tex]x=(2-8)/2[/tex]

[tex]x=-6/2[/tex]

[tex]x=-3[/tex]

Since the 'x' value inside of the logarith is squared, the -3 is a valid solution. Ordinarily, the log function cannot take on negative values.

state the rule obeyed by the variables in each relation diagram below

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.

3 times 2, and plus1

gives you 7.

Test it on the other numbers.

-1 times2, and plus1

2(-1)+1 = -1

2(0)+1 = 1

2(1)+1 = 3

2(2)+1 = 5

It works for all the numbers.

You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"

(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.

If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.

Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2

A 15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14
B 8 1 over 7, 8.14 repeating 14, square root 64, 15 over 2
C square root 64, 8 1 over 7, 8.14 repeating 14, 15 over 2
D 15 over 2, square root 64, 8.14 repeating 14, 8 1 over 7

Answers

Answer:

D

Step-by-step explanation:

15/2= 7.5

square root of 64= 8

8  1/7= 8.14285...

can someone please help me with this question

Answers

Answer: I think its D

Step-by-step explanation:

Find the surface area of this figure.

Answers

Answer: 297 in.^2

Step-by-step explanation:

Area of a triangle: b*h/2 ---> (9*12)/2=544 triangles--->4*54(area of triangle)= 216Area of square: b*h ----> 9*9 = 81Add area of all four triangles plus are of square-----> 216+81 = 297 in.^2

the product of a number and 6 decreased by 2
(don't solve,i just need it in a equation)

Answers

[tex]y = 6x - 2[/tex]

I believe this is correct

help me ??????? please

Answers

Answer:

58%

Step-by-step explanation:

vertical angles are always the same

An event has probability of 3/4.
How would you best describe
the likehood of this event?

Answers

Answer:

more likely

Step-by-step explanation:

3/4 is 0.75 or 75%. I would describe it as likely.

elimination-

3/4 is not equal to 1 or 0.5 or 0. It is also not equal to 0.25

The total number of balls in a bag will be 4 in which 3 balls are red and 1 ball is blue.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The probability of the event is 3/4.

Let the total number of balls be 4 of two colors that are red and blue and the probability of red color be 3/4.

There will be a total of 4 balls in the bag, 3 of which will be red and 1 blue.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ7

Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Answers

The wedge is an illustration of arc lengths, and Tyler's ledge is larger than Priya's wedge

How to determine the larger wedge?

From the question, the arc length of Tyler's wedge is:

L = 12 cm

For Priya's wedge, we have the following highlights:

Radius = 9 cm

Angle = 60 degrees i.e. the angle when a circle is divided into 6 sectors

Priya's arc length is then calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]L = \frac{60}{360} * 2 * 3.14 * 9[/tex]

Evaluate

L = 9.42

By comparing the arc lengths 9.42 and 12 cm, we have 12 cm > 9.42 cm

Hence, Tyler's ledge is larger than Priya's wedge

#SPJ1

Read more about arc lengths at:

https://brainly.com/question/15589041

We have 2 1/3 cup of peanut butter. We are making peanut butter sandwiches. If we put 1/16 cup of peanut butter on each sandwich, how many complete/whole peanut butter sandwiches can we make?

Answers

The fraction computed shows that the number of peanut butter sandwiches that can be made will be 14.

How to compute the fraction?

From the information given, it was stated that there are 2 1/3 cup of peanut butter and that they put 1/16 cup of peanut butter on each sandwich.

Therefore, the number of peanut butter sandwiches that can be made will be:

= 2 1/3 ÷ 1/6

= 7/3 × 6/1

= 14

In conclusion, the correct option is 14.

Learn more about fractions on:

https://brainly.com/question/78672

You received your $1,200 stimulus check from the government due to the coronavirus. If you choose to invest this into an investment account that pays 5.25% compounded continuously (rather than spending it), how long will it take to double your money?

Answers

Answer: IRS has sent $6 billion in stimulus payments just in June. Here's how to track your money Your stimulus check could be on its way, along with child tax credit money and unemployment tax refunds.

Step-by-step explanation:

please help URGENT!! What is the area of the red shaded region?

Answers

Answer:

5

Step-by-step explanation:

54÷8 x 4 ÷2 means that your answer would be 12

I NEED THIS ANSWER IN THE NEXT 10 MINUTES

Answers

Answer:

D

Step-by-step explanation:

Consecutive integers are integers with the progression n, n+1, n+2 (EXAMPLE)

Since w, x, y are consecutive integers, that means w, w+1, w+2; x = w+1, y = w+2

By referring to D,

w + x + y = w + w+1 + w+2

= 3w + 3

Hence, D is true.

Answer:

D

Step-by-step explanation:

A is wrong because if w is -1, x is 0, and y is 1, then wy is negative.

B is wrong because if w is -1, x is 0, and y is 1, then -1 + 1 = 0, which is x.

C is wrong because if w is -1, x is 0, and y is 1, then w³ + 3 = -1 + 3 = 2, which is greater than w + x + y which is 0.

D is correct because w + x + y is always equal to 3w + 3. For example, if w is 1, x is 2, and y is 3, then w + x + y = 6. 3w + 3 = 3(1) + 3 = 6.

E is wrong because if w is 1, x is 2, and y is 3, then wx is 2 and xy is 6, which means xy is greater than wx.

I hope this helps and please mark me as brainliest!

Karly borrowed $6,200 from her parents for 4 years at an annual simple interest rate of 2.8%. How much interest will she pay if she pays the entire loan at the end of the fourth year?

Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.

Answers

Answer:

$724.11

Step-by-step explanation:

This requires the use of the growth formula.

Growth Formula:

[tex]y = a*(1+r)^x[/tex]

y = total/answer

a = starting value

r = rate (1.25 = 25%)

x = the amount of time (years/months)

Equation:

[tex]y = 6200 * (1+0.028)^4[/tex]

Solving:

y = $6924.11

$6924.11 - $6200 =  total interest

$724.11

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]

I need help pls guys​

Answers

Answer:

11

Step-by-step explanation:

11 is ur answer to the question.

I hope it helped yoy

Find five pairs of integers with a sum of -6

Answers

Answer:

-5, -1

-9, 3

5, -11

-8, 2

-18, 12

Step-by-step explanation:

Answer:

_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his

Calculate the perimeter of the shape below. Show your work.

Answers

Answer:

88 ft

Step-by-step explanation:

The perimeter of a shape is the sum of the lengths of all its sides.

Perimeter of rectangle

= 2(length +breadth)

= 2(18 +26)

= 2(44)

= 88 ft

Other Questions
Factor x +3.0 - 10. Is this a special product? Justify your answer. If it is, which one is it?. The ceiling of Katies living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work. Can someone please answer these in Spanish MR X was at the crown of the statue of liberty in an island of New York City. He sighted a cargo ship coming into New York harbor with an angle of depression 35 degree. How far is the cargo ship from the base of the statue of liberty Select the correct answer.Prontas Inc. has issued shares worth $1,000,000 to raise fund for its business. Which activity of the cash flow statement will recognize thisinflow of cash?A non-operating activitiesB. investing activitiesC. operating activitiesD. financing activities 1. Qu papeles tienen las mujeres y los hombres en las familias latinas tradicionalessegn el artculo?A. La mujer suele trabajar fuera de la casa.B. Las mujeres y los hombres tienen los mismos papeles.C. La mujer suele ocuparse del mbito domstico.D. Los hombres no permiten que las mujeres trabajen fuera de la casa.I Which of the following cities would normally experience monsoon winds as late as October 15? What type of conjunctions would you use to complete this sentence?If youre not ready for the bus, __________we will have to take a tax Use the Pythagorean Theorem to determine if a triangle with side lengths 2 ft., 3 ft., 5ft. is a right triangle.A:) Yes it is a right triangleB:) No it is not a right triangle what are the purpose and the message of the text? a circular clock face has a diameter of 7 inches how many inches does the tip of the minute hand travel in a day 3 factors influencing distribution of vegetation Della is directing a class play based on this story. Which would describe a change or difference from the author's original version?A. Popopo sees a display of ladies hats.B. popop is a very old knook with wonderful powersc.The noise of the big city are alarming to the knook, popopod. winter weather adds to the adventure that popopo experiences A store sells t-shirts and pants combinations for $50. If the pants cost $10 morethan the t-shirts, find the cost of each. ( help me please) Fistan is comparing two number patternthe information below. Both patterns start with the number 1. Pattern A follows the rule add 3. Pattern B follows the rule add 4".ow do each of the first 5 terms in Pattern Ampare to the first 5 terms in Pattern B? Aset of your answer, list the first 5 terms of eachtern. Which statement completes the graphic above?A: The Portuguese introduce the Protestant religion and European foods in a major cultural exchange with South America.B: The Portuguese language and Catholic religion become major cultural components in South America.C: The Portuguese learn and adapt to the native religions and languages of South America.D: The Portuguese are conquered by the Spanish who take over and colonize South America. 45. What process in the nitrogen cycle on this planet is taking place in the purplegrowth cells? helpppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee.... thank you What was the role of a caliphate? Write down 3 What was one of the early tactics used by both the Student Nonviolent Coordinating Committee (SNCC) and the Congress of Racial Equality (CORE)?A.voter registration drives targeting African AmericansB.armed protest against police injustices in inner-city schoolsC.looting from businesses that did not welcome African American customersD.vandalizing local government buildings that did not hire African Americans