Simplify square root of ten times square root of eight.

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.

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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:

Solution 1 : 10mL with 20% acid

Solution 2 : 30mL with x% acid

Solution 3 : 40mL with 32% acid

Step-by-step explanation:

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)

2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:

2 + 30x - 2 = 12.8 - 2

30x = 10.8

Dividing both sides by 30:

30x/30 = 10.8/30

x = 0.36

Therefore the unknown solution is 36% acid.

Answer:

The first option (30c + 10(0.2) = 40(0.32)

The required answer are :

a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

b.the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

Given that, suppose one card is drawn at random from a standard deck.

To find the odds in favor of drawing a spade, we need to determine the number of favorable outcomes (spades) and the number of unfavorable outcomes (non-spades).

In a standard deck of 52 cards, there are 13 spades (A♠, 2♠, 3♠, ..., 10♠, J♠, Q♠, K♠) and 39 non-spades (all other cards).

The odds in favor of drawing a spade can be expressed as the ratio of favorable outcomes to unfavorable outcomes. Therefore, the odds in favor of drawing a spade are:

Favorable outcomes: 13 Unfavorable outcomes: 39

Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

(b) To find the odds against drawing a five, we need to determine the number of favorable outcomes (non-fives) and the number of unfavorable outcomes (fives).

In a standard deck of 52 cards, there are 48 non-fives (all cards except 5♠, 5♥, 5♦, and 5♣) and 4 fives (5♠, 5♥, 5♦, and 5♣).

The odds against drawing a five can be expressed as the ratio of unfavorable outcomes to favorable outcomes.

Therefore, the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

Hence, the answer are:

a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

b.the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

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Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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Answer:

  F = 14i +17j

Step-by-step explanation:

You want the endpoint F given that E = -2i +3j and the midpoint of EF is 6i +7j.

The midpoint M is the average of the endpoints:

  M = (E+F)/2

Solving for F, we find ...

  2M = E+F

  F = 2M -E = 2(6i +7j) -(-2i -3j)

  F = 12i +2i +14j +3j

  F = 14i +17j

Answer: 1/6

Step-by-step explanation: It was the first question on my quiz, hope it helped:)

The equivalent value of the expression \(36^{-(\frac{1}{2})\) is, 1/6.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(36^{-(\frac{1}{2})\).

We know, 6×6 = 36 = 6².

Therefore, \(36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})\).

\((6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})\).

= 6⁻¹.

= 1/6.

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Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

\(\frac{3}{2}h+12\geq 6\)

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

To find the total surface area of a pyramid you do SURFACE AREA =B+12(P×l)

Given a table represents a linear relation between (x) and (y)

we will find the slope and the y-intercept

From the table, when x = -1, y = -4

and when x = 0, y = -3

We will find the slope as follows:

And the y-intercept is the value of (y) when x = 0

So, the y-intercept = -3

So, the answer will be:

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Answer:

I believe the answer is 1/12

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer:

\( \frac{1}{12} \: cubic \: foot\)

Step-by-step explanation:

\(V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot\)

The required two pairs of polar coordinates for the point (0, -10) are:

(10, π/2) and (10, -π/2)

To convert from Cartesian coordinates (x, y) to polar coordinates (r, θ), we can use the following formulas:

\(r = \sqrt{(x^2 + y^2)}\\\theta = \tan^{-1}(y/x)\)

Since the x-coordinate of the point (0, -10) is 0, we can directly say that the angle θ is either π/2 or -π/2, depending on whether y is positive or negative.

For y = -10, we get:

\(r = \sqrt{(0^2 + (-10)^2)} = 10\)

Therefore, two pairs of polar coordinates for the point (0, -10) are:

(10, π/2) and (10, -π/2)

Both of these pairs have the same distance from the origin (r = 10) but different angles (π/2 and -π/2).

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Answer:

x+10

Step-by-step explanation:

subsitute x+9 as x

x+9+1=x+10

Step-by-step explanation:

Simplify: \(9x^2 -4x-3=\) [?] when x= -2

Substitute in -2 for x:

\(9(-2)^2 -4(-2)-3\\= 9(-2)^2 -4(-2)-3\\=9(4) +8 -3\\= 36 + 8 - 3\\\)

x = 41

Answer: = 41

Based on the image attached, the solution for GE  is approximately 22.72.

To  be able to solve the equation √129 + √129 = GE, one need to simplify the  expression and then isolate GE.

Step 1: One can add the square roots:

Note that the equation:

√129 + √129 = GE.

Step 2:  Do put together the square root terms:

2√129 = GE.

Step 3:  Then Divide by 2:

√129 = GE/2.

Step 4: The Square both sides:

129 = (GE²)/4.

Step 5: So, Multiply by 4:

516 = GE².

Lastly, Take the square root:

√516 = √(GE²)

√516 = GE

GE = 22.72. approx.

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See text below



Step 26

Solve the equation for GE:

√129+√129 = GE

GE=2/129

Show steps

Answer:

Step-by-step explanation:

Just do

8 divided by 293,581

and you get =

Hope this helps! <3

The value of 8 in 293 581 is  0.0000272497198388

Since it is given that the value of 8 in 293 581

So here we divided 8 from 293581

\(= 8 \div 293581\)

= 0.0000272497198388

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Answer:

B. making an inference.

Step-by-step explanation:

The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.

Answer:

58 1/3

Step-by-step explanation:

14=.24x

14*25/3 = x

58 1/3

Answer:

43.5%

Step-by-step explanation:

Substitute the original price of $850 and the sale price of $480 to find

amount of discount=850−480=370

Use the amount of discount, $370, to find the discount rate. Use the equation

amount of discount=discount rate×original price.

Rearrange the equation to solve for the unknown value.

discount rate=amount of discountoriginal price

Substitute in the known values and solve to find the discount rate.

370850=0.435=43.5%

Thus, the discount rate on the patio set was 43.5%.

Solution:

Given:

A figure,

The figure is divided into 9 equal parts.

The shaded region is shown below having 7 parts.

The unshaded region is shown below having 2 parts.

Hence, the fraction to represent the shaded region of the figure is;

Therefore, the fraction to represent the shaded region of the figure is;

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

25000

Step-by-step explanation:

Answer:

20,038

Step-by-step explanation:

20,320 - 282

Answer:

25%

Step-by-step explanation:

50% x 50%

Answer:

A. 1/5

Step-by-step explanation:

got on edge

Answer:

$1.00

Step-by-step explanation:

20.00 dollars x 5% =1.00

Answer:

$1.00

Step-by-step explanation:

Sales price ($20) x tax rate (.05) = $1.00

Answer:

  (x -2)(x -4)

Step-by-step explanation:

You want to factor x² - 4x -2x +8.

We recognize that the product of the coefficients of the two linear terms is equal to the contant, so this is more easily factored by not combining like terms prior to factoring.

Grouping the terms in pairs, we find we can factor each pair:

  (x² -4x) + (-2x +8)

  = x(x -4) -2(x -4) . . . . . these terms have a common factor of (x -4)

  = (x -2)(x -4) . . . . . . . factored form of the expression

The average amount the player can expect to win or lose per game over the long run. In this game, the Expected value is x/1000.

The expected value for the numbers game, we need to calculate the weighted average of the possible outcomes.

In this game, there are 1000 possible numbers that can be selected, ranging from 000 to 999. If the player selects the winning number, they win a certain amount, and if they select any other number, they win nothing.

Let's assume the amount won is $x when the winning number is selected

The probability of selecting the winning number is 1/1000 because there is only one winning number out of the 1000 possible numbers.

The probability of not selecting the winning number is 999/1000 because there are 999 other numbers that can be selected.

The expected value (EV) can be calculated using the following formula:

EV = (Amount won if winning number is selected) * (Probability of winning) + (Amount won if losing number is selected) * (Probability of losing)

In this case, the EV is:

EV = (x * 1/1000) + (0 * 999/1000)

  = x/1000

The average amount the player can expect to win or lose per game over the long run. In this game, the expected value is x/1000.

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