La o florarie s-au adus ghivece de flori.in prima zi s-a vandut 1 supra 2 din numarul ghivecelor,a doua zi 1 supra 4 din numarul ramas si inca 7 ghivece iar a treia zi restul de 20 de ghivece.cate ghivece s-au vandut in fiecare zi si cate sau adus initial la florarie

Thus, the number of students attended at the school place is found to be  50.

A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for every variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

Given data:

Let 'x' be the number of students.

Let 'y' be the number of adults.

Thus, linear equations formed:

x + y = 110

x = 110 - y  .... eq 1

7x + 10y = 950  ..eq 2

Put x in eq 2

7(110 - y) + 10y = 950

770 - 7y + 10y = 950

3y = 180

y = 60

x = 110 - 60 = 50

Thus, the number of students attended at the school place is found to be  50.

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Answer:

8 47 7445

Step-by-step explanation:

gur hre hrdifngg

Answer: a = 7, b = 14, c = 7, d = 7√3

Step-by-step explanation:

Using SOHCAHTOA, we can find a:

sin(45) = a / (7√2)

We can use either SOHCAHTOA or Phthagoras' Theorem to find c. I will use SOHCAHTOA as I prefer this:

cos(45) = c / (7√2)

SOHCAHTOA for b:

sin(30) = a / b = 7 / b

SOHCAHTOA for d:

cos(30) = d / b = d / 14

The height of the lamppost is 110 in (optionC)

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

To find the height;

Tan 70 = h/ 40

h = tan70 × 40

h = 2.75 × 40

h = 110 in

therefore the height of the lamppost is 110 in

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Answer: 21.182

Step-by-step explanation:

The estimate for the amount of cubic meters of paint needed to apply a coat of paint 0.18 cm thick to a hemispherical dome with diameter 60 meters is option (b). 3.241  cubic meters

To estimate the amount of cubic meters of paint needed to apply a coat of paint 0.18 cm thick to a hemispherical dome with diameter 60 meters using differentials, we can use the formula for the volume of a sphere:

V = (4/3)πr^3

Since we have a hemisphere, we need to divide the volume by 2:

V = (2/3)πr^3

To find the change in volume due to the layer of paint, we can use differentials:

dV = (2πr^2)dr

We want to find the change in volume for a layer of paint 0.18 cm thick, which is equivalent to 0.0018 meters. We can use this to find the radius of the dome with the added layer of paint:

r' = r + 0.0018

r' = 30.0009 meters

Plugging this value into the differential equation, we get:

dV = (2π(30.0009)^2)(0.0018)

dV = 3.241 cubic meters

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Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

To find the polar coordinates (r, θ) of a point given in Cartesian coordinates (x, y), we use the following formulas:

r = √\((x^2 + y^2)\)

θ = arctan(y / x)

Let's apply these formulas to the given point (4, 4√3):

(i) For r > 0 and 0 ≤ θ < 2π:

Using the formulas, we have:

r = √\((4^2 + (4\sqrt3)^2)\) = √(16 + 48) = √64 = 8

θ = arctan((4√3) / 4) = arctan(√3) = π/3

Therefore, the polar coordinates (r, θ) of the point (4, 4√3) are (8, π/3).

(ii) For r < 0 and 0 ≤ θ < 2π:

Since r cannot be negative in polar coordinates, there are no polar coordinates for this point when r is negative.

Hence, the polar coordinates (r, θ) of the point (4, 4√3) are (8, π/3) for r > 0 and 0 ≤ θ < 2π.

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\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400\)

Answer:

18

Step-by-step explanation:

if 4 = 6

multiply them both by 3

and you get 12 = 18

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

The equation of the circle passing through the point (-6, 3) having center at (5, - 4) is (x - 5)² + (y + 4)² = 170

The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is

(x – h)² + (y – k)² = r²

We can write the equation of the circle as -

(x – h)² + (y – k)² = r²

(x - 5)² + (y + 4)² = (11)² + (-7)²

(x - 5)² + (y + 4)² = 121 + 49

(x - 5)² + (y + 4)² = 170

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Answer:

-5x^3+8

Hope this helps

The half angle formula is a mathematical formula used to find the sine, cosine, or tangent of half of an angle in a right triangle.

In a right triangle, the half angle formula allows you to find the value of one of the trigonometric functions for half of an angle based on the value of that same function for the full angle.

This can be useful when trying to simplify or solve more complex trigonometry problems.

For example, if you know the sine of an angle in a right triangle, you can use the half angle formula to find the sine of half of that angle. This can help you to find other values in the triangle, such as the cosine or tangent.

To use the half angle formula, you first need to determine which trigonometric function you want to find for half of the angle.

Then, you use the formula for that function to find the value of the trigonometric function for half of the angle based on the value of that same function for the full angle.

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Answer: at the point (5,13).

Step-by-step explanation:

New function that is a horizontal stretch of F(x)=\((x+2)^{3} + 5\) is F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=\((x+2)^{3} + 5\)

F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)ch visit :
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1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.

2. The result of the formula "1:30" is 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) will return July 2, 2017.

4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.

5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.

1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.

2. The formula "1:30" represents 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.

4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.

5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.

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Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Translation involves moving a point on a coordinate geometry from one position to another position.

Given that:

\(M = (-1,5)\) --- point

\((x,y) \to (x + 3, y - 2)\) --- translation rule

Substitute -1 for x and 5 for y in \((x,y) \to (x + 3, y - 2)\)

So, we have:

\((-1,5) \to (-1 + 3, 5 - 2)\)

\((-1,5) \to (2, 3)\)

This means that:

\(M' = (2, 3)\)

Hence, the image of M after translation is \((2, 3)\)

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Answer:

havent got tought this yet sorry wish i can help

Therefore, David had 5 wrong answers.

To find out how many wrong answers David had, we need to calculate the number of correct answers first. Since each correct answer is awarded 10 points, and David scored a total of 75 points, we can divide 75 by 10 to find the number of correct answers.

75 ÷ 10 = 7.5

Since we can't have half a correct answer, we can conclude that David had 7 correct answers.

Now, to find the number of wrong answers, we subtract the number of correct answers from the total number of questions. In this case, there were 12 questions in total.

12 - 7 = 5

Therefore, David had 5 wrong answers.

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The probability of the event that at most 50 out of 87 people say yes is approximately 0.0188 or 1.88%.

At first, we have to find the probability that at most 50 out of 87 people say yes, we need to use the binomial probability formula.

The binomial probability formula is given by:

P(X ≤ k) = Σ [ \(C(n, k) * p^k * (1 - p)^{(n - k)\) ]

where:

P(X ≤ k) is the probability that the random variable X is less than or equal to k.

n is the total number of trials or people surveyed (87 in this case).

k represents the number of successes (in this case, the number of people who believe the employees are at least somewhat rude).

p is the probability of success on a single trial (64% or 0.64 in decimal form).

Now, we find the probability that at most 50 out of 87 people say yes:

P(X ≤ 50) = Σ [ \(C(87, k) * 0.64^k * (1 - 0.64)^{(87 - k)\) ]

We need to sum the individual probabilities for k = 0, 1, 2, ..., 50.

we get,

P(X ≤ 50) ≈ 0.0188

So, the probability that at most 50 out of 87 people say yes is approximately 0.0188 or 1.88%.

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Answer:

The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Step-by-step explanation:

Here are the options to this question :

A) The sales tax rate is 6%

B) The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Sales tax rate = (tax paid / discounted selling price) x 100

tax paid = amount customer paid - discounted selling price

$73.44 - $68 = $5.44

($5.44 / $68) x 100 = 8%

The sales tax is 8%

Sales price = (discount / initial price) x 100

discount = $85 - $68 = $17

($17 / 85) x 100 = 20%

Answer:

B.) The Sales Tax Rate is 8%

C.) 85-68/85 = discount rate

E.) The Sale Price is 20% less than the regular price.

Step-by-step explanation:

i did the usatestprep :)

Answer:

9 pizzas

Step-by-step explanation:

Since there were 3 boxes which each 3 pizzas, you're gonna need to solve using an easy multiplication problem; 3*3, which is 9. So it's 9 pizzas

Answer:

The answer is 9 miles.

Step-by-step explanation:

14-5=9.

Answer:

9 miles

Step-by-step explanation:

So if you pay $5 for the cab ride then 1$ for every mile driven and you have to pay a total of $14 you go 14-5=9

Answer:

x=0

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

hope this helps

Answer:

They are equal.

Step-by-step explanation:

You could use the butterfly method, just set up both ratios as fractions, and multiply them diagonally.

3/2=48/32

Step 1. 48*2=96

Step 2. 32*3=96

Answer:

Yes the ratios are equal.

Step-by-step explanation:

If we simplify 48:32 as a fraction we will get the answer as 3:2.

So, 3:2 = 48:32.

I hope it helps you.... :):)

Answer:

1. x = 15

y = 15√3

2. x ≈ 20,0

3. x ≈ 49,9°

Step-by-step explanation:

1. First, use trigonometry to find x:

\( \sin(30°) = \frac{x}{30} \)

\(x = 30 \times \sin(30°) = 15\)

Now use the Pythagorean theorem to find y:

\( {?}^{2} = {30}^{2} - {15}^{2} = 900 - 225 = 675\)

\(y > 0\)

\(y = \sqrt{675} = 15 \sqrt{3} \)

2. Use trigonometry to find x:

\( \cos(32°) = \frac{x}{24} \)

\(x = 24 \times \cos(32°) ≈20.0\)

3. Use trigonometry to find x:

\( \sin(x°) = \frac{13}{17} \)

x ≈ 49,9° (use the reverse sin (shift, sin) function on the calculator)

Answer:

47

Step-by-step explanation:

Answer:

Its True

Step-by-step explanation:

The signs of stress include feeling of emotional or physical tension, headache, dry mouth, heartburn, constipation, depression, and insomnia. However, stress isn't necessarily a bad thing.

Answer:

True

Step-by-step explanation:

It is