What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brother's account?

Answer:

please look at the picture l. it is solved there. hope this helps.. do mark me as brainliest

Answer:

a)     y + 3y + (y - 2) + 4(y - 2) = 116

b)     y = 14

c)     48

Step-by-step explanation:

Sasha says. I am y years old.       y

mother's age is 3 times my age     3y

brother is 2 years younger than me      y - 2

father's age is 4 times my brother's age     4(y - 2)

-------------------------------

total of our four ages is 116 years.

a) Write an equation to show this.

y + 3y + (y - 2) + 4(y - 2) = 116

b) Solve the equation.

distribute

y + 3y + y - 2 + 4y - 8 = 116

combine like terms

9y - 10 = 116

add 10 to both sides

9y = 126

Divide both sides by 9

y = 14

c) How old is Sasha's father?​

4(y - 2)

4(14 - 2)

4(12)

48

Answer:

19 Black Buttons

Step-by-step explanation:

1/4 of 40= 10

1/5 of 40= 8

10+8=18

18+4=21

So there are 21 white grey and orange.

The rest are black so 40-21=19

So 19 black buttons

Hope this helps

Step-by-step explanation:

40 button

1/4×40=10 white

1/5×40=8 grey

4 orange

Total=22

Then,subtract

40-22

=18 black buttons

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen.

One side of the pen uses the barn wall, hence the remaining side is 64 m, hence:

x + 2y = 64

x = 64 - 2y       (1)

The area of the wall is the product of the length and the width, hence:

Area (A) = length * width = xy = (64 - 2y)y = 64y - 2y²

A = 64y - 2y²

The maximum area of the dog house is gotten when the derivative of the area is equal to 0. Hence:

A' = 64 - 4y = 0

64 - 4y = 0

4y = 64

y = 16 m

Put y = 16, in equation 1 to find x:

x = 64 - 2(16) = 32 m

x = 32 m

Therefore the pen has a length of 32 m and width of 16 m.

Answer:

A(max) =  512 m²

Dimensions:

x  =  32  m

y  =  16  m

Step-by-step explanation:

Area of the rectangular pen:

A(p) = x*y            x   and   y  sides of the rectangle. A barn will be used in place of a fence; let´s say that only one  x side will be fenced, then the perimeter of the rectangle is:

p  =  x  +  2*y         64  =  x  * 2*y      y  =  (  64  -  x ) / 2

A(p)  =  x*y

Area as a function of x

A(x)  =  x * ( 64  -  x  )/ 2

A(x)  = ( 64*x - x² ) /2

Tacking derivatives on both sides of the equation

A´(x)  = ( 64  -2*x )/2

A´(x)  =  0        64  - 2*x  = 0         2*x  =  64     x  =  32  m

y  =  (  64 - x ) / 2        y  =  (  64  -  32 )/2        y  = 16 m

A(max) =  32 *  16  = 512 m²

To check if x = 32 will bring a maximum to function A(x)

We take the second derivative

A´´(x)  = -  x/4          A´´(x)  < 0   then  x  =  32 is a local maximum

Answer:

a) (4,7/2)

Step-by-step explanation:

Midpoint Formula:

[(-1+9)/2], [(2+5)/2]

(8/2, 7/2) = (4, 7/2)

Answer:

Answer is b

Step-by-step explanation:

just did it

The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.

The value of angle tanA will be calculated as:-

tanA = P / B

tanA = 24 / 10

tanA = 12 / 5

Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer:

the first one i think

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

8.82

Step-by-step explanation:

subtotal- 88.24

total- 92.65

total with tip-111.18

change- 8.82

Answer:

the answer will be volume

please mark the answer as the brainlliest one

Answer:

75π / 2

Step-by-step explanation:

a = (∅ / 2π) * πr²

a = (3π/4 / 2π) * π(100)

a = (3/8) * 100π

a = 300/8 * π

a = 75/2 * π

a = 75π / 2

Answer:

Step-by-step explanation:

12 inches                               60 inches

---------------- is equivalent to ------------------

  1 foot                                        5 feet

This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).

120 inches

------------------ is another equivalent fraction (or ratio).

  10 feet

Answer:B and C

Step-by-step explanation:

12/1 = 60/5

1/12 = 5/60

Answer:

1)C

2)C

Step-by-step explanation:

Fiz no Classroom!!!

Answer:

[tex]Pr = 0.0479[/tex]

Step-by-step explanation:

Given

[tex]p =23\%[/tex] --- proportion of completed passes

Required

The probability that he has 6 incomplete before he has 1 completion

Let:

[tex]q \to[/tex] proportion of back passes not completed

Using complement rule:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 23\%[/tex]

[tex]q = 1 - 0.23[/tex]

[tex]q = 0.77[/tex]

The event that he has 6 incomplete passes before he completed one is:

q q q q q q p

And the probability is:

[tex]Pr = q * q * q * q * q * q * p[/tex]

[tex]Pr = q^6* p[/tex]

[tex]Pr = 0.77^6* 0.23[/tex]

[tex]Pr = 0.0479[/tex]

Answer:

Arc AB = 110

Step-by-step explanation:

<C = 55 degrees. That's the way the triangle is marked. AB = BC.

The central angle is twice the angle made by the end points of line AB

The central angle = 2*55 = 110

The measure of arc AB equals the central angle which makes arc AB = 110

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

Answer:

Step-by-step explanation:

OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

the anserw would be B

Step-by-step explanation:

The relationship that explains the exponential relationship between the year and amount of energy used is: Option B: The amount of energy used decreases by different amount each year.

Rate of an exponential function is  in terms of exponential function itself. It's not constant, and always changing. For example, the rate of [tex]y = e^x[/tex] with respect to x is [tex]y' = e^x[/tex] itself, which increases as x increases.

The given table is:

Year(Serial no.)   Amount of energy used (kWh)

          1                      1,000,000

         2                         900,000

         3                         810,000

         4                         792,000
The differences between each consequent years of the amount of energy used is:

1000000 - 900000 = 100000

900000 - 810000 = 90000

810000 - 792000 = 18000

So, we see that the decrement is done by decreasing amount.

So rate of change wasn't constant but continuosly changing.

Thus, Option C is clearly wrong.

We see that 100,000 is 10% of 1,000,000

and 90,000 is 10% of next years amount 900,000

but 18,000 is not 10% of next years amount which is 810,000

Thus, Option A is wrong too.

Option B is correct in its statement, and so as option D because we don't see any immediate pattern in the decrement, except that the energy is just decreasing, so its unexpected.

The rate of exponentially related variables is not unexpected though.

So, its only Option B which is closest (among other options) to the intention of telling that the relation between the year and the amount of energy used is exponential, although it doesn't prove that the relationship is exponential. (because, suppose the function i take is [tex]y = x^2[/tex], then its rate with respect to x is [tex]y' = 2x[/tex] and this rate is also non-constant, but the function wasn't exponential).

Thus, the relationship that explains the exponential relationship between the year and amount of energy used is: Option B: The amount of energy used decreases by different amount each year.

Learn more about rates of exponential functions here:

https://brainly.com/question/1497850

Answer:

b = 7.14cm

Step-by-step explanation:

For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.

1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64

2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64

3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....

4. Since we need to round it to two decimal places, b will be 7.14.

Answer:

[tex](x-4)^2+(y+1)^2=29[/tex]

Step-by-step explanation:

We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).

Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:

[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]

So, the center of our circle is (4, -1).

Next, to find the radius, we can find the length of the diameter and divide it by half.

Using the distance formula, find the length of the diameter:

[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]

So, the radius will be:

[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]

The equation for a circle is given by:

[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]

Substitute:

[tex](x-4)^2+(y+1)^2=29[/tex]

Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}

PQ is an angle bisector since it is splitting the angle RPS in half to RPQ and SPQ

Answer:

x=4, y=-2

Step-by-step explanation:

Answer:

x = 4

y = - 2

Step-by-step explanation:

3x + 8y = - 4

2x - 4y = 16                 Multiply the second equation by 2 and add it to the 1st

3x + 8y = - 4

4x - 8y = 32               Add

7x = 28                      Divide by 7

7x/7 = 28/7

x = 4

2x - 4y = 16              Substitute 4 for x

2*4 - 4y = 16            Combine  

8 - 4y = 16                Subtract 8 from both sides

-4y = 16 - 8

-4y = 8                     Divide by -4

y = 8/-4      

y = - 2

Answer:

32%

Step-by-step explanation:

703/2226=32%

Step-by-step explanation:

the work will be finished in 26 daysplease mark the answer as the brainliest

Answer:

86

hope this helps!

add me as a friend if u can<3

Answer:

86

Step-by-step explanation:

Express 29% as a decimal, which is 0.29

Then divide 24.94 by 0.29, which gives you 86.

Answer:

I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.

Step-by-step explanation:

If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)

Answer:

g(x) = [tex]-\frac{2}{5} (10)^{x}[/tex]

Step-by-step explanation:

Looking at the equation of a Exponential Function:

The a-value [tex](\frac{2}{5})[/tex] determines whether the function reflects over the x-axis. If it's negative it reflects over the x-axis. If it's positive it stays over the x-axis.