Myles and Darrell are brothers and myles is older. When you square Darrell's age and multiply by 2 and subtract from the square of Myles age the result is 6times the difference between their ages. When add Myles and Darrell's age you get 5times the difference between their ages. How old is Darrell and how old is Myles.

Answers

Answer 1

Answer:

Darrell is 12 years old while Darrell is 18 years old

Step-by-step explanation:

Let Myles age be m and Darrell age be d

Single Myles is older, m > d

Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2

Subtract from the square of Myles age

m^2 - 2d^2

Result is 6 times the difference between their ages;

m^2 - 2d^2 = 6(m-d) •••••••••••(i)

When add Myles and Darrell age

m+ d

you get 5 times the difference between their ages 5(m-d)

m + d = 5(m-d)

m + d = 5m - 5d

5m - m = 5d + d

4m = 6d

m = 6d/4

m = 1.5d or 3/2d ••••••••(ii)

Put ii into i

(3/2d)^2 - 2d^2 = 6(3/2d - d)

9/4d^2 - 2d^2 = 6(1/2)d

Multiply through by 4

9d^2 - 8d^2 = 12d

d^2 = 12d

d^2 - 12d = 0

d(d -12) = 0

d = 0 or d-12 = 0

d = 0 or 12

d = 12 years

The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)

So we choose 12 years

Recall ; m = 3/2 d = 3/2 * 12 = 18 years


Related Questions

MiniMouse received an order of bows for her store. The order had 3 boxes containing bows and 2 bows that were not in a box. Each box contained an equal number of bows. The order had 146 bows. What is n, the number of bows which should be in each box? Write and solve the equation.

Answers

Answer:

Step-by-step explanation:

If Mini has a total of 146 bows, then you should subtract 2 because those are not in the boxes.

146 - 2 = 144    144 ÷ 3 = 48.   This means that there are 48 bows in each box.



What is the app, oximate value of 8
to the nearest tenth?

Answers

Answer:

10

Step-by-step explanation:

All other tens values are too far

Answer:

10

Step-by-step explanation:

Given h(x)=-3x-2,solve for x when h(x)=1​

Answers

Answer:

-5

Step-by-step explanation:

The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given funciton,h(x) = -3x - 2

For h(x) = 1

1 = -3x - 2

1 + 2 = -3x

3 = -3x

x = -1

Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".

For more about the function,

brainly.com/question/23712366

#SPJ2

Find the value of x. images attached

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use tan

We have

[tex] \tan(26) = \frac{42}{x} \\ x \tan(26) = 42 \\ x = \frac{42}{ \tan(26) } \\ x = 86.1127613...[/tex]

We have the final answer as

86.113°

Hope this helps you

I think it’s A (I hope I’m not wrong)

A department store buys 200 shirts at a cost of $4,800 and sells them at a selling price of $30
each. Find the percent markup.

Answers

Answer:

25%

Thats the answer according to my calculations.

Answer:25%

Step-by-step explanation:

(too lazy too write anything here)

rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour

Answers

Answer:

She could walk 3.75 miles in an hour.

You have started your own online business selling dvds. You sell twenty four DVD’s per week online. How many DVDs do you sell in six weeks?

Answers

the answer is 144 just multiply 24x6

Answer:

144 multiply 24 six times 24x6

Can some one help me ASAP please

Answers

Answer:

5

Step-by-step explanation:

5 is your answer because you just multiply 69x5 and you get 345. Hope this helps :)

Convert to a decimal rounded to the nearest hundredth: 8/11

Answers

Answer:

.72 and on going

Step-by-step explanation:

The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2)

Answers

Answer:

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

Step-by-step explanation:

I'm assuming you have to divide:

(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]

     

Hope this helps.

Answer:

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

Step-by-step explanation:

Complete the equation of the line through(−6,−5),(-4,-4)

Answers

Answer:

y=ax+b

bring in (-6,-5)

=>-5=-6a+b

=>6a-5=b

bring in (-4,-4)

=>-4=-4a+b

=>4a-4=b

b=6a-5=4a-4

6a-5=4a-4

2a=1

a=1/2

then b=6*(1/2)-5=-2

y=ax+b

=>y=(1/2)x-2

can someone who KNOWS WHAT theyre doing and is good at angles please help

Answers

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

Whats the answer to this the domain of the function URGENT!!!!!!!!!!!!!

Answers

Answer:

I think it's d I'm not sure tho

Answer:

B

Step-by-step explanation:

I'm pritty sure it is B hopefully this helps.

What is the measure of angle F?

A. Cannot be determined
B. 65°
C. 55°
D. 75°

Answers

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

What is the domain and range for the following function? f(x)=|x-2|+3

Answers

Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).

_______

Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).

Need help (don’t give me inn correct answer and don’t comment if you don’t know)

Answers

Answer:

I believe that the answer is number 2

Step-by-step explanation:

x-5
x+3
What are the restrictions?

Answers

Let's simplify step-by-step. Sowwy im late

x- 5x + 3

= x + - 5x + 3

combine like terms:

= x + - 5x + 3

= (x + - 5x + (3)

= -4x + 3

Q3. Kylie sits two maths test. She scores 19/25 in the first one, and 16/20 in the second one.
Which test has she done better in?

Answers

Answer: Kylie did better in the second one than she did in the first one

Step-by-step explanation:

If you do 19 divided by 25 you will get 0.76 so she got a 76% on the first test. Then if you do 16 divided by 20 you will get 0.8 so she got a 80% on the second test.

What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?

Answers

Answer:

p  is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p  is (3.71, 6.71) which is  at  3/4 of the distance from A to B for A(2,5) and B(6,9)/

11x - 8 = 4x - 3

solve for x​

Answers

Answer:

7×=5 ×=5/7

Step-by-step explanation:

what is the answer if u do x=25(x+4)

Answers

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

What happends if you get a brainliest?

Answers

i’m pretty sure you get more points

Answer:

it is needed to reach some ranks

Step-by-step explanation:

can I get brain liest?

Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get

Answers

Answer:

5 cupcakes

Step-by-step explanation:

=1x 30/ 6

=5

I hope it helps

Thank U

Answer:

No Of cup cakes laura has : 30

No of c Cupcakes She wants to give her friends:1/6

Cupcakes each friend got : 30 × 1/6

: 5

There fore Number of cupcakes each friend gets: 5 Cupcakes

1st shape has a 4 2nd shape has a 6 pls help-T T
I don’t know how to do this-

Answers

Answer:

2.5

Step-by-step explanation:

because you can tell by the numbers and how close they are then u have to divide

Melissa shot a rocket 360 meters into the air, it took 4 seconds to fly that far. What’s the average speed of the rocket?

Answers

Answer:90meters per second

Step-by-step explanation:

The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?​

Answers

Answer:

no.

Step-by-step explanation:

What is the lowest range of the function shown on the graph?

Answers

Answer:

C.-2

Step-by-step explanation:

The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.

How many terms are there in the following expression: 3a+3ab+7b-4d?

Answers

Answer:

3

Step-by-step explanation:

no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who

Answer:

There are 4 terms.

Step-by-step explanation:

3a

3ab

7b

4d

Evaluate 2√2/(√2-√3)

Answers

Answer:
4-2√6
Explanation:

What is the quotient?
(-3)
(-3)2
Og
9
O 9

Answers

Answer:

The answer to your problem is negative 9

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