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

If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in
35 hours?

Answers

Answer: I'm pretty sure they mowed 61 lawns

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

first divide 4 by 7 to see how much lawn ncan be mowed in an hour

4/7=0.5714

multiply by 35 = 19.9999

so almost 20 lawns

(-9) - (-37) =

A -29

B -40

C 28

Answers

Answer:c: 28

Step-by-step explanation:

C is 28 for the answer

Find the distance between (8,-4,7) and (8,5,3)

Answers

Answer:

sqrt(97)

Step-by-step explanation:

Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".

To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:

(5-(-4))^2+(3-7)^2=d^2

(9)^2+(-4)^2=d^2

81+16=d^2

97=d^2

d=sqrt(97).

A= LWH for L
L=


What’s the answer

Answers

Answer:

A ÷ (WH)

Step-by-step explanation:

It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?

Answers

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Which demonstrates the commutative property? *
O a+b=b+a
O (a + b) + c = a + (b + c)
O a(b + c) = ab + ac
O a+0= a

Answers

Answer:

Option A is the right one

Hope this helps you Do mark as brainliest

Answer:(a+b)=(b+a)

Commutative property; No matter how you arrange the sums you'll get the same answer.

NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)

Answers

Answer:

Step-by-step explanation:

7 ) -3p=-48

p=-48/-3

p=16

8) -98=7t

t=-98/7

t=-14

9) -4.4 y =-4

y=-4/-4.4

y=1.1

10) 2.8 c=4.2

c=4.2/2.8

c= 1.5

a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers?

Answers

Answer:

-28

Step-by-step explanation:

If f(x) = 7x + 9, what is the value of f(2)?​

Answers

Answer: f ^− 1 ( x ) = x /7+ 9/ 7

Step-by-step explanation:

Replace  f ( x )  with  y .

y = 7 x− 9

Interchange the variables.

x = 7 y − 9

solve for y

y = x/ 7 + 9 /7

Solve for  y  and replace with  f ^− 1 ( x ) .

f ^− 1 ( x ) = x /7+ 9/ 7

What is the slope of a line perpendicular to the line in the graph

-2/3
3/2
-3/2
2/3


PLS ANSWER ASAP

Answers

Answer:

3/2

Step-by-step explanation:

opposite inverse

Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.

Answers

Answer:

range is -8,10,28

Step-by-step explanation:

9(1)-17=-8

9(3)-17=10

9(5)-17=28

Hope this helps

HELp PLZLZPLZPLZPLPZLPZLZPLZPLZPZLPZLPZLZPLZPZLPZLZPLZPZLZPLPZLZPLZ

Answers

Answer:

pretty sure it's 8 if I'm not mistaken

There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?

Answers

Answer:

8784. is the answer to the question

Answer:

8,784 hours

Step-by-step explanation:

You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.

366 x 24 = 8,784 hours

Please!
Which type of transformation is shown here?
A)
dilation
B)
reflection
C)
rotation
D)
translation

Answers

Answer:

A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

put these numbers in descending order
75%

2/5

0.84

2/3

Answers

I think its

2/5 2/3 75 0.85

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.

Answers

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

multiply each by 3 equal full cup of milk and 3/4 of water

Answer the answer is 83

Step-by-step explanation:

Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3

Answers

(-3,2) (0,0) i think. it’s been a whole

Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut is located at an elevation of 3,288 ft. A number line going from negative 4000 to positive 4000 in increments of 1000. Which point represents the change of elevation in feet on the hike from the summit to Carter Notch Hut? –4000 –3000 3000 4000

Answers

Answer:

- 3000 feets

Step-by-step explanation:

Given that:

Elevation at the summit of Mount Washington = 6288 ft

Elevation of Carter Notch Hut = 3,288 feets

The change of elevation in feets on the hike from summit to Carter Not hut:

Difference in elevation:

Summit at Mount Washington - Carter notch hut

6288 ft - 3288 ft

Change in elevation. = 3000 fts

Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets

Answer:

b

Step-by-step explanation:

If x° and 60° are vertically opposite angles , then x° = ?​

Answers

Answer:

x° = 60

Step-by-step explanation:

Vertically opposite angles are congruent, thus

x° = 60

Answer:

It is x° = 60 (✿◠‿◠)

Which expression has the greatest value?

A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2

Answers

the answer is c you just have to solve each one

CAR TRAVEL One car travels about 28.5 miles on each gallon of gas. Suppose the average price of gas is $2 per gallon. About how much would the gas for a 978 mile trip cost? (p. 28)​

Answers

Hopefully I’m not wrong, it should be 978 divided by 28.5 which is 34.315. Then that times $2/2 should be your answer. Which is 68.631 aka $68.63.

Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .

Answers

Answer:

Luke regrouped 6 tens 4 ones as 6 tens 14 ones

He should have regrouped 6 tens 4 ones as 5 tens 14 ones

The correct difference is 406.

Step-by-step explanation:

First, we will complete the explanation,

For the difference,864 − 458, Luke got 416;

The explanation of the mistake Luke made is

Luke regrouped 6 tens 4 ones as 6 tens 14 ones

Such that, the difference of the ones (14 - 8) gives him 6 ones,

difference of the tens (6 - 5) gives him 1 ten

and difference of the hundreds ( 8 - 4) gives him 4 hundreds

Hence, his answer 416.

He should have regrouped 6 tens 4 ones as 5 tens 14 ones

So that, the difference of the ones (14 - 8) will give him 6 ones,

difference of the tens (5 - 5) will give him 0 ten

and difference of the hundreds (8 - 4) will give him 4 hundreds

Hence, he would have gotten 406.

The correct difference is 406.

In an apartment building, there is only one elevator that residents are allowed to use. The elevator picks up six people in the main lobby and ascends 4 floors. Next, the elevator ascends another 2 floors and descends 3 floors. The elevator ascends 8 more floors, then descends 2 floors. The elevator finally descends another 2 floors before getting stuck. What floor is the elevator stuck on?

Answers

Answer:

It is stucked on the 9th floor

Step-by-step explanation:

We want to know the floor on which the elevator is stucked.

The main lobby is the ground floor and has a value of 0 floor

Ascends four floors with 6 people from the lobby

It is now on floor 4

Ascends another two so it is now on floor 4 + 2 = 6

Ascends another 2, then descend descends 3

That will be 6 + 2 -3 = 5th floor

Ascends 8 more , then descend 2

That will be 5 + 8 -2 = 11

Descends another 2, making 11 - 2 = 9

It is stucked on floor 9

Kindly note, when it ascends, that is a positive value, when it descends, that is a negative

help !! will mark brainliest

Answers

Answer:

The answer is b your welcome

the point (-20, -13) is found in what quadrant?

Answers

Answer:

third

Step-by-step explanation:

Answer:

It would be located in Quadrant Number Three

Step-by-step explanation:

Quadrant 1: Positive Numbers on Y-Axis, Negative Numbers on X-Axis

Quadrant 2: Positive Numbers on both Y and X-axis

Quadrant 3: Negative Numbers on Both Y and X-axis

Quadrant 4: Negative Numbers on Y-Axis, Positive Numbers on X-Axis

(Hope this helped)

One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.

Answers

Answer:

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

_______________________________________

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x --------------------equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.

In the function f(x) = 3x + 2, f(5)
A. 15
B. 16
C. 17
D. 19

Answers

Answer:

C. 17

Step-by-step explanation:

3 times 5 is 15 , then you add 15 plus two which equals 17.

Answer:

C. 17

Step-by-step explanation:

In the equation f(5)=3x+2, you substitute 5 for x.

Which makes the equation f(5)=3(5)+2

Simplified f(5)=17 after you multiply 3(5) and add 2.

Hope this helps!

-1/3(x-15)=-4 what is the correct sequence of operations

Answers

Answer:

x = 3

Step-by-step explanation:

The steps I show will be listed from first-to-last.

-1/3x + 5 = -4 (Distribute)

-1/3x = -9 (Subtract 5 from both sides)

x = 3 (Multiply both sides by -3)

What is x (in degrees)

Answers

Answer: 4

Step-by-step explanation:

By the exterior angle theorem,

[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]

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