Which two fractions are equivalent to
6/11

Answer: 11 ft × 6 ft

Step-by-step explanation: l = w+5. Substitute that value in A = lw and rewrite the equation.

w(w + 5) = 66

w^2 + 5w - 66 = 0 Factor that.

(w -6)(w + 11) =0. Solve for w.

w -6= 0, w = 6 but discard the other -11 as dimensions of real polygons can't be negative

L = w + 5 so L = 6+5

So L=11

Answer:

It divides the radius by 2, which is the last option in your list of possible answers.

Step-by-step explanation:

Recall that the standard equation of a circle of radius R centered at the origin of coordinates is given by:

[tex]x^2+y^2=R^2[/tex]

so when you have the first equation of the circle:

[tex]x^2+y^2=R^2\\x^2+y^2=25\\x^2+y^2=5^2[/tex]

The radius of the circle was 5

Now, when you work with the second equation, we need to divide both sides by 4 in order to get the standard form of the circle and be able to understand what the radius is:

[tex]4x^2+4y^2=25\\x^2+y^2=\frac{25}{4} \\x^2+y^2=(\frac{5}{2})^2[/tex]

So we see that the initial radius 5 is now divided by 2.

Answer:

324000000000000000000000

Answer:

His monthly income is 9000 Rs

Answer:

Alice

Step-by-step explanation:

5 feet is approximately 1.5 meters so we can say Alice is taller than Mary by 10cm

Answer:

Mary, by 3 inches.

Step-by-step explanation:

Convert the unit to inches.

5 feet = 60 inches

1.6 meters = 63 inches

63 - 60 = 3

Mary is taller than Alice by 3 inches.

Answer:

1) [tex]h(x) = \frac{f(x)}{g(x)}[/tex], 2) [tex]h(x) = \frac{g(x)}{f(x)}[/tex], 3) [tex]h(x) = f(x) + g(x)[/tex], 4) [tex]h (x) = f [g (x)][/tex], 5) [tex]h(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

1) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h (x) = \frac{x+4}{2\cdot x + 1}[/tex], then:

[tex]h(x) = \frac{f(x)}{g(x)}[/tex]

2) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = \frac{2\cdot x + 1}{x+4}[/tex], then:

[tex]h(x) = \frac{g(x)}{f(x)}[/tex]

3) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = 3\cdot x + 5[/tex], then:

[tex]h(x) = 3\cdot x + 5[/tex]

[tex]h (x) = (1 + 2)\cdot x + (4+1)[/tex]

[tex]h(x) = x + 2\cdot x + 4 +1[/tex]

[tex]h(x) = (x+4) + (2\cdot x + 1)[/tex]

[tex]h(x) = f(x) + g(x)[/tex]

4) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = 2\cdot x + 5[/tex], then:

[tex]h(x) = 2\cdot x + 5[/tex]

[tex]h(x) = 2\cdot x + 1 + 4[/tex]

[tex]h(x) = (2\cdot x +1)+4[/tex]

[tex]h (x) = f [g (x)][/tex]

5) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = -x + 3[/tex], then:

[tex]h(x) = -x + 3[/tex]

[tex]h(x) = (1 - 2)\cdot x + 4 - 1[/tex]

[tex]h(x) = x - 2\cdot x + 4 - 1[/tex]

[tex]h(x) = x + 4 - (2\cdot x + 1)[/tex]

[tex]h(x) = f(x) - g(x)[/tex]

Answer:

a. In the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.

b. The correct option is zero.

c. See the attached excel file for the new supply schedule.

d. The monthly surplus created by the price support program is 18 million pounds given the new supply of butter.

Step-by-step explanation:

Note: This question is not complete. A complete question is therefore provided in the attached Microsoft word file.

a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.

At equilibrium, quantity demanded must be equal with the quantity supplied.

In this question, equilibrium occurs at the price of $1.20 per pound and quantity of 95 million pounds.

Therefore, in the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.

b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program?

Price floor refers to a government price control on the lowest price that can be charged for a commodity.

It should be noted that for a price floor to be binding, it has to be fixed above the equilibrium price.

Since the price floor of $1 per pound is lower than the equilibrium price of $1.2 per pound, the price floor will therefore not be binding. As a result, the market will still be at the equilibrium point and the monthly surplus created in the wholesale butter market due to the price support (price floor) program will be zero.

Therefore, the correct option is zero.

c. Fill in the new supply schedule given the change in the cost of feeding cows.

Since a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price, this implies that there will be an increase in supply by 40 million at each price.

Note: Find attached the excel file for the new supply schedule.

d. Given the new supply of butter, what is the monthly surplus of butter created by the price support program?

Since the price floor has been fixed at $1 per pound by the price support program, we can observe that the quantity demanded is 101 million pounds and quantity supplied is 119 million pounds at this price floor of $1. The surplus created is then the difference between the quantity demanded and quantity supplied as follows:

Surplus created = Quantity supplied - Quantity demanded = 119 - 101 = 18 million pounds

Therefore, the monthly surplus created by the price support program is 18 million pounds given the new supply of butter.

Answer:

Step-by-step explanation:

If, for example, we translate the graph of f(x) = |x| 3 spaces to the right, then the equation becomes g(x) = |x - 3|

Answer:

Hey there!

The top right graph is a function. A function only has one y value for every x value.

Hope this helps :)

Answer:

b median

Step-by-step explanation:

Answer:

  orthocenter

Step-by-step explanation:

The red segment is an altitude of the triangle, as are the two legs. The intersection point of the altitudes is the orthocenter.

__

This is basically a vocabulary question.

Answer:

Step-by-step explanation:

Answer:

1). sinB × tanC = [tex]\frac{c}{a}[/tex]

2).  sinC × tanB = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

From the figure attached,

A right triangle has been given with m∠A = 90°, m(AC) = b, m(AB) = c and m(BC) = a

SinB  = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{AC}}{\text{BC}}[/tex]

         = [tex]\frac{b}{a}[/tex]

tanB = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

        = [tex]\frac{\text{AC}}{\text{AB}}[/tex]

        = [tex]\frac{b}{c}[/tex]

SinC = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{\text{AB}}{\text{BC}}[/tex]

        = [tex]\frac{c}{a}[/tex]

tanC = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

        = [tex]\frac{c}{b}[/tex]

Now sinB × tanC = [tex]\frac{b}{a}\times \frac{c}{b}[/tex]

                            = [tex]\frac{c}{a}[/tex]

And sinC × tanB = [tex]\frac{c}{a}\times \frac{b}{c}[/tex]

                           = [tex]\frac{b}{a}[/tex]

Answer:

$61,500

Step-by-step explanation:

$61,500

x

4.8% (.048)

=

$2952 yearly

x

30 years

=

$88,560

+

Initial Deposit of $61,500

=

$150,060

Answer:

z-Axis. The axis in three-dimensional Cartesian coordinates which is usually oriented vertically. Cylindrical coordinates are defined such that the -axis is the axis about which the azimuth coordinate. is measured.

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

The numbers 5 or even are 4, 5, 6, and 8.

4 numbers out of 5.

4/5 = 0.8

Convert to percentage.

0.8 × 100 = 80

P(5 or even) = 80%

Answer:

80% chance

Step-by-step explanation:

There are 4 numbers that fit the rule, 4, 5, 6, and 8. There is a 4/5 chance spinning one of those numbers or 80% chance.

Answer:

(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab

Step-by-step explanation:

Answer: 484m²

Step-by-step explanation: This is a question on solid shape.

The surface area of a cone is the same thing as the perimeter of the cone ie, the materials required to construct the cone.

Formula for the surface area of the cone = πrl + πr², ( the circular base )

From.the diagram,

r = 7.1m , l = 14.6m, π = 3.142

Now substitute for those values in.the formula above

SA = πrl + πr²

= 3.142 × 7.1 × 14.6 + 3.142 × 7.1²

= 325.6997 + 158.388

= 484.09

Now to the nearest tenth meter,

SA = 484m²

=========================================================

Explanation:

We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.

From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).

This shows that,

slope = rise/run = 2/5

The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.

-------

Optionally you can use the slope formula

m = (y2-y1)/(x2-x1)

with any two points you want from the graph.

Answer:

about 10

Step-by-step explanation:

62.8 = 2 pi r/2

62.8/2 = pi r

31.4/pi = pi r/pi

about 10 = r

The symbol [tex]\ge[/tex] can be thought of a greater than sign over top an equal sign, like this [tex]\stackrel{>}{=}[/tex] though the second horizontal line is erased to keep things relatively more simple (in terms of having to write it out).

Answer:

-72

Step-by-step explanation:

We just have to plug in -2 for x so the answer is 12 * 3 * (-2) = -72.

Answer:

50°

Step-by-step explanation:

ABCD is a kite.

Therefore, AB = BC

[tex]\therefore m\angle BCA= m\angle BAC = 40\degree \\

\because BD \perp AC.. (Diagonals \: of\: kite) \\

\therefore y + 90\degree + m\angle BCA = 180\degree \\

\therefore y + 90\degree + 40\degree = 180\degree \\

\therefore y = 180\degree - 130\degree \\

\huge\red {\boxed {y = 50\degree}} [/tex]

Answer:

9

Step-by-step explanation:

Put x as 1/2 and evaluate.

3^(2(½) + 1)

3^(1+1)

3²

= 9

Answer:

3.15 dollars

Step-by-step explanation:

The sales tax rate is 7% = 0.07

So, we need to multiply the listed price and the sales tax rate.

= 45 * 0.07 = 3.150 (3.15)

Hope this helps and please mark as the brainliest

Answer:

a). 722 cm²

b). 412.11 cm²

Step-by-step explanation:

ABC is a quarter circle with radius CE,

Area of a quarter circle = [tex]\frac{1}{4}\pi r^{2}[/tex]

Since CDEF is a square, diagonals CE and FD will be equal.

CE ≅ FD ≅ 38cm

(a). Measure of a side of the square CDEF = [tex]\sqrt{\frac{1}{2} (\text {Diagonal})^2}[/tex]

           Side = [tex]\sqrt{\frac{(38)^2}{2} }[/tex]

                    = 26.87

     Area of the square CDEF = (Side)²

                                                = (26.87)²

                                                = 722 cm²

b). Area of the shaded part = Area of the quarter circle - Area of the square

    Area of the quarter circle = [tex]\frac{1}{4}\pi (38)^{2}[/tex]

                                               = 1134.11495 cm²

    Area of the shaded area = 1134.11495 - 722

                                              = 412.11495 cm²

                                              ≈ 412.11 cm²

Answer:

179.5 - 180.5

Step-by-step explanation:

Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.

Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.

In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5

Answer: k = 4, k = -4 and k = 0.

Step-by-step explanation:

If we have y = sin(kt)

then:

y' = k*cos(kt)

y'' = -k^2*son(x).

then, if we have the relation:

y'' - y = 0

we can replace it by the things we derivated previously and get:

-k^2*sin(kt) + 16*sin(kt) = 0

we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)

-k^2 + 16 = 0

the solutions are k = 4 and k = -4.

Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:

-k^2*sin(kt) + 16*sin(kt) = 0

if we take k = 0, we have:

-0 + 0 = 0.

So the solutions are k = 4, k = -4 and k = 0.

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: [tex]\frac{a + b + c + d}{4} = 85[/tex]

Whose largest number is 97: [tex]\frac{a + b + c + 97}{4} = 85[/tex]

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!