the difference of the
ages of two brothers is 4 years 5 years ago if the product of their ages was 96 find their present ages


Answers

Answer 1

Answer:

OB - Older Brother

YB - Younger Brother

A) OB -YB = 4

B) OB * YB = 96

B) OB = 96 / YB

Multiplying A) by -1

A) -OB + YB = -4 then we add B)

B) OB = 96 / YB

YB = -4 + 96 / YB

Multiplying both sides by YB

YB^2 = -4YB +96 then re-arranging

YB^2 + 4YB -96 = 0 solving by quadratic equation

AS OF 5 years AGO:

Younger Brother's age = 8

Older Brother's age = 12

NOW THEIR AGES ARE:

8 + 4 = 12  YB and

12 + 4 = 16 OB

Step-by-step explanation:


Related Questions

Helppppppppppppppppppppppppp

Answers

Answer:

Option A

Step-by-step explanation:

We know that for an eqn. [tex]ax^{2} +bx+c=0[/tex] , the quadratic formula is =

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

So using quadratic eqn. for [tex]x^{2} -6x-5=0[/tex]

[tex]x =\frac{-(-6)+\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}or\frac{-(-6)-\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}[/tex]

[tex]=> x = \frac{6+\sqrt{36+20} }{2} or\frac{6-\sqrt{36+20} }{2}[/tex]

[tex]=>x = \frac{6+\sqrt{56} }{2} or\frac{6-\sqrt{56} }{2}[/tex]

change these times to 24-hour clock

b
1.15 pm

c
04 05

Answers

Answer:

b)  13:15

c) 4:05 or 16:05 ( u havent given pm or am)

hope it helped u,

pls mark as the brainliest

^_^

Answer:

b. 13:15

c. 04:05

Step-by-step explanation:

in a 24hr clock 12 hrs will be added if it is in the afternoon

since the first one is in pm 12+1 =13:15

the second doesnt have pm so it will remain

The three answers are Neither, SAS, and SSS I will give a brainless if someone could answer it correctly and explain :)

Answers

I think sas I’m not sure though

4 cookies and 6 friends how much does each one get

Answers

Answer:

1.5 cookies per friend

Step-by-step explanation:

if you have 6 friends and 4 cookies you can divide the amount of cookies by the amount of people it ends up being 1.5 cookies per person

I need help please I have to finish this

Answers

Hey there!

This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.

The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!

We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.

There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.

So, x=31 and y=29.

I hope that this helps! Have a wonderful day! :D

1) What is the area of a rectangle that has side lengths of yard and yard?​

Answers

Answer:

boooooooooomnhbhikbn

Step-by-step explanation:

Answer:

Yards Squared

Step-by-step explanation:

Because multiplication it ends up as squared yards!

A college student completed some courses worth 6 credits and some courses worth 4 credits. The student earned a total of 104 credits after completing 21 courses. How many courses worth 4 credits did the student complete?

Answers

Answer:

4

Step-by-step explanation:

Four courses is how many four credit classes the college student took

Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.

Write an explicit definition that defines Kevin's paycheck.

Let n = the number of cars

A
an=300+5n

B
an=300⋅5n

C
an=300n+5

D
an=300−5n

Answers

I say that the answer is A. Because 300 is what you get every month and the 5 depends on the car and how many cars are sold. So 5 is by the “n”. Also you add them all together to get your answer. Which is “An = 300 + 5n. Hope this helped. :)

Find the it out 12 divided by 3/5. 12 divided by 2/25. 8divided by 1/7. 12divided by 1/5

Answers

Answer:

Step-by-step explanation:

1. 20

2. 150

3. 56

4. 60

hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe

What is the cost of a 4 mile taxi ride if the charges Is $2.50 to start plus $2.80 per mile

Answers

Answer:

$13.70

Step-by-step explanation:

y=2.80x+2.50

=2.8*4+2.5

=13.7

Answer: $13.70

Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.

what is the value of the expression (36 1/2)^2

Answers

324 is the answer to your promblem welcome

Which is equivalent?

Answers

Answer:A

Step-by-step explanation:

-2|5x+3|>=4 i dont have the bigger equal simbols , please help me with this question ;((

Answers

Step-by-step explanation:

-2|5x + 3| >= 4

|5x + 3| <= -2

Since absolute value is never negative, there are no real values for x.

Frank and his family are going to a ground opening of circus there is a special price on ticket this weekend tickets cost $36 each this is 60% of the cost of the regular price ticket what is the cost of the regular price ticket show your work ​

Answers

Answer:

$60

Step-by-step explanation:

so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets

Enter the decimal equivalent of 9/12

Answers

Answer:

0.75

Step-by-step explanation:

9/12 = 0.75

0.75 , this should be the correct answer

Please help, I forgot how to solve a question like this.

Answers

Answer:

i forgot to but i think you solve it by adding the values

Step-by-step explanation:

A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7

Answers

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

State Ceva’s theorem​

Answers

Ceva's Theorem states that given any triangle △ABC, the segments from A, B, and C to the opposite sides of the triangle are concurrent precisely when the product of the ratios of the pairs of segments formed on each side of the triangle is equal to 1.

The light ssssssssssssssssssssssssss

Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 packs, how much will he pay?

Answers

He needs to pay 30$ to get. 9 packs

Answer:

$30

Step-by-step explanation:

he will pay $30.00 for 9 packs.

NEED HELP to pass upcoming project , I've attached the link, when trying to do this project the first time I got partical credit so one of the parts might be right.

Answers

9514 1404 393

Answer:

  vertex: (-3, 3)

  focus: (-3, 2)

  directrix: y = 4 (the line)

  point on the parabola: (1, -1)

Step-by-step explanation:

The vertex is the extreme point of the parabola. For a parabola opening downward, it is the maximum. Here, that point is labeled (-3, 3).

The focus is a point inside the parabola on the line of symmetry that, together with the directrix, helps define the parabola. Every point on the parabola is the same distance from the focus as it is from the directrix. Here, the point (-3, 2) is the focus.

The directrix is a line outside the parabola that is the same distance from the vertex that the focus is inside. Here, that line is y = 4.

The point on the parabola (1, -1) appears to have no particular significance. It happens to be 5 units distance from both the focus and the directrix.

_____

Additional comment

When you draw a horizontal line through the focus, it intersects the parabola at a point the same distance from the focus as from the directrix. (All points on the parabola have that characteristic. This point just happens to have the same y-coordinate as the focus.) The point you found this way is also on a line through the vertex that has a slope of 1/2 or -1/2.

If you don't know where the focus is for a given parabola, you can always find it using this relationship.

For which x is f(x)=-3?
-7
-4
4
5

Answers

It is going to be (-7)

What is the percent of decrease from 600,000 to 60,000? Write your answer using a percent sign (%).​

Answers

Answer:

90%

Step-by-step explanation:

change percent to decimal = .90

600,000 x .90 = 540,000

600,000 - 540,000 = 60,000

90% decrease is how you go from 600,000 to 60,000

Solve 81(88w+82)=-207198


Group of answer choices

w=-30

w=-29

w=-28

w=-31

Answers

Answer:

w=-30

Step-by-step explanation:

81(88w+82)=-207198

7128w+6642=-207198

7128w=-213840

w=-30

Is this correct??????? Someone plz help

Answers

No because you have to subtract 2 for 2 and from 1 which is x is greater than or equal to -1 then you graph that

Sean bought a new sweatshirt that cost $78.00. If tax is 11% how much will Sean pay in total for the sweater?
.

Answers

In total he will pay $86.58.

The area of a rectangular park is 3/5 square mile. The length of the park is 7/8 mile. What is the width of the park?​

Answers

Answer:

Width of the park = 24 / 35 mile

Step-by-step explanation:

Given:

Length of the park = 7/8 mile

Area of rectangular park = 3/5 square mile

Find:

Width of the park

Computation:

Area of rectangular park = Length of the park x Width of the park

3/5 = 7/8 x Width of the park

Width of the park = 24 / 35 mile

TRIGONOMETRY REVIEW RATIOS FINDING SIDES & ANGLES PLEASE DUE TOMORROW !!!!

Answers

Using the Trigonometry ratios, the missing sides and angles are:

1. sin R = 5/13

2. sin T = 12/13

3. cos R = 12/13

4. cos T = 5/13

5. tan R = 5/12

6. tan T = 12/5

7. x = 16.5

8. x = 58.9

9. x = 9.2

10. x = 35.9

11. x = 40.7°

12. x = 77.8°

What are the Trigonometry Ratios?

The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.

SOH is: sin ∅ = opp/hyp

CAH is: cos ∅ = adj/hyp

TOA is: tan ∅ = opp/adj.

1. sin R = opp/hyp = 15/39

sin R = 5/13

2. sin T = 36/39

sin T = 12/13

3. cos R = adj/hyp = 36/39

cos R = 12/13

4. cos T = 15/39

cos T = 5/13

5. tan R = opp/adj = 15/36

tan R = 5/12

6. tan T = 36/15

tan T = 12/5

7. Apply CAH:

cos 38 = x/21

x = (cos 38)(21)

x = 16.5

8. Apply TOA:

tan 23 = 25/x

x = 25/tan 23

x = 58.9

9. Apply TOA:

tan 57 = x/6

x = (tan 57)(6)

x = 9.2

10. Apply SOH:

sin 32 = 19/x

x = 19/sin 32

x = 35.9

11. Apply SOH:

sin x = 15/23

x = sin^-1(15/23)

x = 40.7°

12. Apply TOA:

tan x = 37/8

x = tan^-1(37/8)

x = 77.8°

Learn more about Trigonometry ratios on:

https://brainly.com/question/10417664

what’s slope in this graph?

Answers

Answer:

1/2 !

Step-by-step explanation:

Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!

Have a nice day :D

A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off.
What is the price of the computer on Black Friday?

Answers

With original price $249.99 and 15% off,

Final price: $212.49

Saved amount: $37.50

Answer:

nah

Step-by-step explanation:

asdddddddddddddddddddddddddddddddddddddddddddddd

The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
(a) Denise changed £400 into dollars. How many dollars did she receive?
(b) To change the money, the bank charged a fixed amount of £3 plus 2% of the number of pounds changed. Calculate the amount the bank charged Denise to change her £400.

Answers

Answer:

(a) Denise received $640.

(b) The total amount the bank charged Denise was £11

Step-by-step explanation:

Proportions and Percentages

The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.

(a) Denise changed £400 into dollars. Applying the exchange rate:

£400 = 1.60*400 = $640

Denise received $640.

(b) To change the money, we need to add both fees the bank charged Denise:

A fixed amount of £3

2% of £400 = £8

The total amount the bank charged Denise was £11

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