There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

a) -1< x < 6

Step-by-step explanation:

you no. how true answer

Answer: Your answer is 23.5in²

Hope it helped :D

Good Luck!

Answer:

b

Step-by-step explanation:

Answer: D. Hope It helps!!!!!

Answer:

65 units

Step-by-step explanation:

The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

Read more about Algebra Word problems at; https://brainly.com/question/21405634

#SPJ1

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.

Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height

Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.

Area = (L + 16) / 2 * 22

We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.

L² = (8 + 4)² = 64

L = 8

Now we can use the formula for the area of a trapezoid to find the total area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

To know more about Pythagorean visit:

https://brainly.com/question/15169173

#SPJ1

The vertex form of a quadratic function is given by: g(x) = \(a(x - h)^2 + k\). The equation of g(x) in vertex form is: g(x) = \((x - 4)^2 - 5\)

In algebra, the vertex form is a way to write the equation of a quadratic function, also known as a parabola.

The vertex form of a quadratic function is given by:

\(g(x) = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola, and "a" determines whether the parabola opens upwards or downwards.

From the graph, we can see that the vertex is at (4, -5), which gives us h = 4 and k = -5. Also, since the parabola opens upwards, "a" must be positive.

To find "a," we can use one of the other points on the graph. Let's use the point (2, -1):

\(-1 = a(2 - 4)^2 - 5\)

-1 = 4a - 5

4a = 4

a = 1

Therefore, the equation of g(x) in vertex form is:

\(g(x) = (x - 4)^2 - 5\)

To know more about vertex form, visit

brainly.com/question/13921516

#SPJ1

Answer:

X=11 trust me on my mom

a) The degree of the polynomial is 5.

b) The second difference is -726        -126        -6        114         714

c) The difference when they are constant is 480.

What is a polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

y values:      -999           -140          -7          0           1         116          945

1st difference        859           133          7           1          115         829

2nd difference               -726        -126        -6        114         714

3rd difference                           600      120      120       600

4th difference                                  -480      0         480

5th difference                                           480     480

The degree of a polynomial is the number of difference where it is constant.

The degree of the polynomial function is 5.

The constant is the 5th difference which is 480.

To learn more about polynomial click on the below link:

https://brainly.com/question/7807270

#SPJ1

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

Learn more about average here:

https://brainly.com/question/24057012

#SPJ1

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

for such more questions on  weight

https://brainly.com/question/29892643

#SPJ8

Answer:

hmmm yes as it seems you have caught a albert einstein question and tbh ion know what that is lol gl

Step-by-step explanation:

The probability that one of the following numbers is rolled is 0.135.

We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.

The formula to be used for calculation of probability to roll any one number on the dice -

Probability = number of favourable outcomes ÷ total number of outcomes

Keep the values in formula

Probability = 1/37

Now, for the mentioned five numbers among which any can be rolled, the probability is -

Probability = 5 × (1/37)

Performing multiplication

Probability = 5/37

Performing division

Probability = 0.135

Hence, the probability is 0.135.

Learn more about probability -

https://brainly.com/question/13604758

#SPJ4

Answer:

Step-by-step explanation:

5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)

x - 7 = x - 7        (notice its the same on both sides of equal sign. Add 7 to both                    sides)

x = x

solution is all real numbers

Part B

5 - 4 - 12 = -4 - 7

-11 = -11

5 + 0 - 12 = 0 - 7

-7 = -7

5 + 5 - 12 = 5 - 7

-2 = -2

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

The domain would be the first number in the ordered pair. In this case, 4,5 and 9 are the domains.

Step-by-step explanation:

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

Learn more about polynomial function here

brainly.com/question/11979308

#SPJ1

Answer:

V(speed)=3.5 mile per hour

Step-by-step explanation:

\(V=mile per hour\)

\(V=\frac{7}{8}/ \frac{1}{4}\)

\(V=\frac{7}{8}*\frac{4}{1}\)

\(V=\frac{7}{8}*4\)

\(V=3.5\)

Answer:

-2v - 3x

Step-by-step explanation:

-4(2x-v) + (-6v+5x)

Expand.

-8x + 4v - 6v + 5x

Add or subtract like terms.

-6v + 4v - 8x + 5x

-2v - 3x

Answer: -2v-3x

Step-by-step explanation:

Answer:

E $10240.00

Step-by-step explanation:

The total amount of money is x.

3/8 × x = 3840

Multiply both sides by the reciprocal of 3/8 which is 8/3.

x = 3840 × 8/3

x = 10240

Answer: E $10240.00

Answer:

E. $10240.00

Step-by-step explanation:

$3840.00 is 3/8

so 3 ---> $3840

     1 ---> $3840/3

     1 ---> 1280

Then total money you had is ( 1280 * 8 ) = $10240

Answer:

y=6^x+0.612 - 4

Step-by-step explanation:

x = -4 ---> horizontal asymptote

m = 6 ---> use points (0, -1) and (1, 5)

Parent function of the graph: \(y=b^x\)

Our equation: \(y=6^x\)

Add alterations:

Final equation: y=6^x+0.612 - 4

Answer: I believe the answer is 6 miles.

Step-by-step explanation: Its states Cary hiked 18 miles in 6 hours. If you divide 18  by 6, you get the answer 3. This means that 6 multiplied by 3 will give you 18, so just do the same to the number 2. Two multiplied by 3 gives you 6.

Answer:

Answer. Step-by-step explanation: The answer is 0.8 because if something is 10 x of something in decimal terms it would be the number after the decimal getting smaller.

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

Learn more on sets here;

https://brainly.com/question/13458417

#SPJ1

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be \(x=38.65\) degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be \(x\).

Consider Δ\(ADF\)

which consists of sides \(AD, FD\) and \(FA\), and which contains the angle \(x\).

So,

tan(x)=Perpendicular / Base

i.e.,

\(tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65\)

Hence, the length of the angle be \(x=38.65\) degree.

To know more about the trigonometry

https://brainly.com/question/27269972

#SPJ2

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Using it's concept, the probabilities are given as follows:

a) Both go off on schedule: 0.30 = 30%.

b) Both go off on schedule: 0.2 = 20%.

A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.

From the text of the problem, the probability of A and not B is of 0.2, that is:

A x (1 - B) = 0.2.

We can multiply the probabilities as the events are independent.

In item a, the probability of neither is of 0.2, hence:

(1 - A) x (1 - B) = 0.2.

From the first equation, we have that:

A = 0.2/(1 - B).

From the second equation, we have that:

(1 - A) = 0.2/(1 - B).

Hence:

A = 1 - A

2A = 1

A = 0.5.

Then we can find B as follows:

(1 - A) x (1 - B) = 0.2.

1 - B = 0.2/0.5

1 - B = 0.4

B = 0.6.

The probability of both is:

A x B = 0.5 x 0.6 = 0.30 = 30%.

For item b, we consider that:

(1 - A) x B = 0.3.

We also have that:

A x (1 - B) = 0.2.

From the first equation:

B = 0.3/(1 - A).

Then, replacing on the second:

A x (1 - 0.3/(1 - A)) = 0.2

Which has a solution of:

A = 0.5, B = 0.4.

Hence the probability of both is:

0.4 x 0.5 = 0.2 = 20%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1