Mr. Peterson sold a parcel of land and decided to share half of the amount he got among his three children Jane, Peter and martha in the ratio 4:5:7 respectively and according to their ages. the youngest child, who is 12 years old, received a$2000. how much money did peter and martha received?

Answer:

.77 is the answer

Step-by-step explanation:

Answer:

0.77 is the anwser:)))))))))))

Answer:

i put it in the comments bc someone was answering but 150 lol

Step-by-step explanation:

Answer:

7*6=42

so 42

Step-by-step explanation:

Integrate both sides with respect to t :

∫ dy/dt dt = ∫ -12t ² dt

y(t) = -4t ³ + C

Use the initial condition to solve for C :

5 = -4•0³+ C

C = 5

So

y(t) = -4t ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

[tex]\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du[/tex]

[tex]\implies y(t)=5-4u^3\bigg|_0^t[/tex]

[tex]\implies y(t)=5-4t^3[/tex]

Answer:

82.88%

Step-by-step explanation:

Given that:

Mean (μ) = 16.7 pounds

Standard deviation (σ) = 3.8 pounds

Number of pounds eaten = 11.5 = x

P(11.5 ≥ x ≤11.5)

P(x ≤ 11.5) :

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)

P(x ≥ 11.5) ;

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)

P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)

0.91441 - 0.085593 = 0.828817

0.828817 * 100% = 82.88%

Answer:

s + r - l

Step-by-step explanation:

This is an arithmetic progression question.

The formula to get the terms of an AP is;

L_n = a + (n - 1)d

Where;

a is first term

n is number of term

d is difference between terms

Thus, second term is;

L_2 = a + d

Third term is;

L_3 = a + (3 - 1)d

L_3 = a + 2d

Similarly, L_4 = a + 3d

Now we are told that;

Sum of the first 2 numbers is s;

Sum of the second and third number is l

Sum of the last two numbers is r

Thus;

a + (a + d) = s - - - (eq 1)

(a + d) + (a + 2d) = l - - - (eq 2)

(a + 2d) + (a + 3d) = r - - - (eq 3)

Thus, sum of the first and last term will be;

L_1 + L_4 = a + (a + 3d)

Now,from earlier;

(a + 2d) = r - (a + 3d)

Also;

(a + d) = s - a

Thus, plugging them into the eq 2 gives;

(s - a) + r - (a + 3d) = l

Expanding we have;

s + r - 2a - 3d = l

d = (s + r - 2a - l)/3

Thus;

L_1 + L_4 = a + (a + (3(s + r - 2a - l)/3))

= 2a + s + r - 2a - l = s + r - l

Step-by-step explanation:

2..................pls follow me

Answer:

81

Step-by-step explanation:

9 × -9 = -81

-81 × -1 = 81

Answer:

81

Step-by-step explanation:

9*-9=- 81

-81*-1= 81

Answer:

5×1=5

6×0.1=0.6

2×0.01=0.02

5×0.001=0.005

Step-by-step explanation:

Answer:

x < 6.8 or 34/5

Step-by-step explanation:

The parenthesis on the right side don't affect the inequality in any way so we can get rid of that.

5x – 6 < 2 + 30 – 4

Now we simplify the right side by combining like terms.

5x - 6 < 28

Our goal is to isolate x

Add 6 to both sides

5x < 34

Divide both sides by 5

x < 34/5

x < 6.8

Answer:

b= 4 c=9 this is your answer

Answer:

b = 153

c = 153

Step-by-step explanation:

b + 27° = 180°..(Linear pair angles)

b° = 180° - 27°

b° = 153°

b = 153

c = b (vertical angles)

c° = 153° (since b = 153°)

c = 153

Answer:i mean i will put -1 but i am not sure tho with it yk

Step-by-step explanation:

i am so sorry if i am not right but hope u the bast tho have a good day!

|-3.75| is greater than |-2.4|

A number system is defined as a system of writing to express numbers.

We need to find which number is greater than |-2.4| in the given options.

We know that the absolute value of |-2.4| is always positive.

The value of |-2.4|  is 2.4.

Now we need to check which number is greater than 2.4.

In option A it is -6.3 which is negative. so it is not our answer.

Even in option B the value is negative so it is also not correct.

In option C we have |-3.75|. The value of |-3.75| is 3.75 because it is in mod which we consider as positive.

As 3.75 is greater than 2.4. so out answer will be |-3.75|

Hence, |-3.75| is greater than |-2.4|

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Answer:

If you meant -12=3z, then the answer would be -4.

Step-by-step explanation:

Answer:

-4 is z :)

Step-by-step explanation:

Answer:

201

Step-by-step explanation:

subtraction

Answer:

37x4

4x30=120

4x7=28

120+28=148

this is how i show my work. it has never failed me

Step-by-step explanation:

37×4

4×30

4×7=28

120+28=148

Answer:

x= -3 straight up

Step-by-step explanation:

2x+9 = 7x + 24

simplify

x= -3

Answer: 0.09

Step-by-step explanation:

Answer:

D) 32

Step-by-step explanation:

Given;

series: 56, 54, 50, 38, 34, ....

find the difference between successive numbers;

56         54        50             38            34             x

     2            4             12              4             2            

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2.

The next number "x" is calculated as;

34 - 2  = x

34 - 2 = x

32 = x

Therefore, the next number should be 32.

The next number that should come next in the series is 32.

Sequence is an arrangement of two or more things in a successive order.  Series is the cumulative sum of a given sequence of terms.

Given the numbers in the series: 56, 54, 50, 38, 34, . . ..

The difference is 2, 4, 12, 4, 2

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2. Hence:

The next number = 34 - 2 = 32

The next number that should come next in the series is 32.

Find out more on series at: https://brainly.com/question/13171394

Answer:

4833 m

Step-by-step explanation:

Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m

We use Pythagoras Theorem to get this done

We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top

Using the sine angle rule, we have

Sine 47.3 = 4900 / h

h = 4900 / sin 47.3

h = 4900 / 0.7349

h = 6668 m

This means that she was 6668 m away from the top of the mountain

She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000

Using the same sine angle rule, we have

Sine 58.5 = o / 5668

o = 5668 * sine 58.5

o = 5668 * 0.8526

o = 4833 m

She is 4833 m above the sea level

Answer:

$656

Step-by-step explanation:

1.5% of 800 is 12.

You do 12 x 12 which is 144.

Next you do 800 - 144 which equals 656.

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The value of the card after 12 years is $669.11.

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

Given;

Purchase price (PV)= $800

Rate of decrease (r)= 1.5% per year

Number of periods (n)= 12 years

To calculate the value of the card after 12 years, we need to use the following formula of future value;

FV= PV / (1 + r)^n

FV= 800 / (1.015^12)

FV= $669.11

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Answer:

it's angle angle side

Step-by-step explanation:

they share angle k and same angle for l and same side for p

Answer:

1 gram

Step-by-step explanation:

Rounded, it is one gram or one whole, you round the whole number.

Replace c with 50 and solve for f:

50 = 5/9(f-32)

Multiply both sides by 9:

450 = 5(f-32)

Distribute the right side:

450 = 5f -160

Add 160 to both sides:

610 = 5f

Divide both sides by5:

F =610/5

F = 122

Answer:

122 = F

Step-by-step explanation:

C = 5/9 ( F - 32)

Let C = 50

50 = 5/9 ( F - 32)

Multiply each side by 9/5

9/5 *50 = 9/5 *5/9 ( F - 32)

90 =  ( F - 32)

Add 32 to each side

90+32 = F -32+32

122 = F

Answer:

There were total 2900 seats in the theater.

Step-by-step explanation:

Given that:

Seats filled by students = 1247 seats

Vacant seats = 57%

Total percentage of seats = 100%

Percentage of seats filled by students = (100-57)%

Percentage of seats filled by students = 43%

Let,

x be the total number of seats.

43% of x = 1247

[tex]\frac{43}{100}x=1247\\0.43x=1247[/tex]

Dividing both sides by 0.43

[tex]\frac{0.43x}{0.43}=\frac{1247}{0.43}\\x=2900[/tex]

Hence,

There were total 2900 seats in the theater.

Answer:

im pretty sure it 1641 square miles

Answer:

There is significant evidence at 0.05

Step-by-step explanation:

Given that:

After performing hypothesis., with confidence level being α = 0.05 ; The researcher decides to reject the Null. The conclusion will be ;

There is significant evidence to reject the Null at confidence level of 0.05