Sandra bought 5 bags of candy. She shared it equally among 7 students. How much candy will each student receive?

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

Answer:

Company A: $530; Company B: $610; Difference: $80

Step-by-step explanation:

Company A:

12(40) = 480 + 50 = 530

Company B:

15(40) = 600 + 10 = 610

Difference: 610 - 530 = 80

Hope this helped!

To solve the problem we will need to calculate cost of Shirts from Company A and Cost of shirts from Company B.

The difference in cost between the two companies is $80.

Given to us

Company A charges an initial fee of $50 and $12 per shirt, 50 + 12x.

given the number of shirt we need is 40, therefore,

Cost of Shirt from Company A = 50 + 12x

                                                   = 50 + 12(40)

                                                   = 50 + 480

                                                   = $530

Company B charges an initial fee of $10 and $15 per shirt, 10 + 15x.

given the number of shirt we need is 40, therefore,

Cost of Shirt from Company B = 10 + 15x

                                                   = 10 + 15(40)

                                                   = 10 + 600

                                                   = $610

the difference in cost between the two companies

= Cost of 40 Shirt in Company B - Cost of 40 Shirt in Company A

= $610 - $530

=$80

Hence, the difference in cost between the two companies is $80.

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From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Answer:

Given

f(x) = 3x + 2

g(x) = (x + 3) / (2x - 10)

#1

g · f(x) =

g(f(x)) =

(3x + 2 + 3)/ (2(3x + 2) - 10) =

(3x + 5) / (6x - 6)

#2

f · g(x) =

f(g(x)) =

3[(3x + 2) / (2x - 10)] + 2 =

(9x + 6) / (2x - 10) + 2 =

(9x + 6 + 4x - 20)/ (2x - 10) =

(13x - 14) / (2x - 10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function is, \(f(x)=\frac{x^2-3x+2}{x-2}\)

Factors of the numerator = x² - 3x + 2

                                          = x² - 2x - x + 2

                                          = x(x - 2) - 1(x - 2)

                                          = (x - 2)(x - 1)

Therefore, given function will be,

f(x) = \(\frac{(x-2)(x-1)}{(x-2)}\)

For (x - 2) = 0

For x = 2, denominator will become zero.

Thus for input value x = 2, function will not be defined.

If x ≠ 2, f(x) = x - 1

It's a linear function represented by f(x) = x - 1

Having slope = 1 and y-intercept = -1

And (2, 1) is a hole as shown in the graph.

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer:

788

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

4+6 = 10

64-46 = 18

Answer:

Step-by-step explanation:

If demand had the same elasticity for a price decline from $1.00 to $0.50 as it does for the decline from $1.50 to $1, then cutting the price from $1.00 to $0.50 would result in a proportional increase in quantity demanded, similar to the increase from $1.50 to $1.

What formula we can use?

Danny "Dimes" Donahue is a young entrepreneur who sells homemade brownies. He sells 100 brownies at a price of $1.50 each, and 300 brownies at a price of $1 each. To determine the elasticity of demand over his price range, we can use the formula:

% change in quantity demanded / % change in price

When the price of the brownies decreases from $1.50 to $1, the quantity demanded increases from 100 to 300, which is a 200% increase. Therefore, the % change in quantity demanded is:

(300 - 100) / 100 = 2

When the price decreases from $1 to $0.50, the quantity demanded increases from 300 to 500, which is a 66.7% increase. Therefore, the % change in quantity demanded is:

(500 - 300) / 300 = 0.667

Since the % change in quantity demanded is greater when the price decreases from $1.50 to $1 than it is when the price decreases from $1 to $0.50, the demand is elastic over this price range.

If demand had the same elasticity for a price decline from $1.00 to $0.50 as it does for the decline from $1.50 to $1, then cutting the price from $1.00 to $0.50 would result in a proportional increase in quantity demanded, similar to the increase from $1.50 to $1.

In this case, Danny's total revenue would increase because the increase in quantity demanded would outweigh the decrease in price.

However, without more information about the specific elasticities, we cannot determine the exact impact on Danny's revenue.

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Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Step-by-step explanation:

sorry jesica I don't know the answer

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

Answer: it was be cos4

Step-by-step explanation: 1/2 divided by 3/4 = cos4

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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It will take 2.76 seconds an object to fall to the top.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that The height of a building is 1957 feet.

S = the distance

Given d = 16t²  is the function for the height as a function of time.  It will hit the ground when h=0 so:

16t² - 1957 =0

16t² - 1957 =0

16t² =1957

t²  =1957 /16

t=√(1957 /16) seconds

t≈ 2.76 seconds  (to nearest hundredth of a second)

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Fun fact:

The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.

Cool right? Here are more fun facts.

1 “I am” is the shortest complete sentence in the English language.

2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.

Like that?

Banging your head against a wall for one hour burns 150 calories.

In Switzerland it is illegal to own just one guinea pig.

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

6\(\sqrt{17}\) or 24.738634

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.

The picture shows the Pythagorean theorem being used to find AB and AD.

AB = \(\sqrt{17}\)

AD = \(\sqrt{68}\)

Now we can find the perimeter

2(\(\sqrt{17}\)) + 2(\(\sqrt{68}\)) = 6\(\sqrt{17}\)

Answer:

Step-by-step explanation:

since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve

x = -(2x) + 6

x = -2x + 6

3x = 6

x = 2

plug in our x to the original equation

y = 2(2)

y = 4

so our answer is (2,4)

hope this helps <3

Answer:

x = 2

Step-by-step explanation:

If y is 2x, and x is -y + 6, what's x?

So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:

x = -y + 6

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

Nancy is the proud owner of a new car. She paid $1,500 up front and took out a loan for the rest of the amount. The interest rate on the loan is 5%. If the total cost of buying the car (including the interest Nancy owes) is more than $16,213.02, how much money did Nancy borrow?

Complete the steps below to solve the problem.

Part A

Assume that x represents the amount of money Nancy borrowed. Write an expression that represents the amount borrowed (the principal) plus the interest owed on that amount.

amount borrowed + interest= = x+5% of x

= x+5100⁢x

= x+0.05⁢x

= 1.05⁢x

The expression 1.05x represents the sum of the amount Nancy borrowed and the interest she owes on that amount.

B= Write an expression to represent Nancy’s total cost of buying the car.

Total Cost= (amount borrowed + interest) + Initial Payment

= 1.05x+1,500

C= Write an inequality using the expression from part B to represent this scenario.

The problem statemet says the total cost is more than $16,213.02:

Total cost>16,213.02

The inequality 1.05x + 1,500> 16,213.02 represents the scenario.

D= Solve the inequality for the variable x. Use opposite operations on both sides of the inequality until you get x on one side of the inequality by itself.

1.05x + 1,500> 16,213.02

1.05x > 16,213.02 - 1,500 (subtract 1,500 from both sides)

1.05x > 14,713.02

X > 14,713.02/1.05 (divide both sides by 1.05)

X > 14,012.40

E=What does the result from part D tell you about Nancy’s situation?

The inequality X> 14,012.04 means Nancy borrowed more than 14,012.40

F= Think about graphing the inequality you found in part D on a number line. What would it look like?

Choose the correct number:

open circle on 14,012.40 and arrow pointing right

open circle on 14,012.40 and arrow pointing left

closed circle on 14,012.40 and arrow pointing right

closed circle on 14,012.40 and arrow pointing left

Number 1 is correct. The graph of the inequality x > 14,012.40 has an open circle on 14,012.40 and an arrow pointing to the right.

The graph of the inequality x > 14,012.40 that has an open circle on 14,012.40 and an arrow pointing to the right.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Part A;

Consider that x represents the amount of money Nancy borrowed.

The amount borrowed + interest= = x+5% of x

= x+5100⁢x

= x+0.05⁢x

= 1.05⁢x

The expression is 1.05x that represents the sum of the amount Nancy borrowed and the interest she owes on that amount.

B; Write an expression to represent Nancy’s total cost of buying the car.

The Total Cost= (amount borrowed + interest) + Initial Payment

= 1.05x+1,500

C; Write an inequality using the expression from part B to represent this scenario.

The problem says the total cost is more than $16,213.02:

Total cost > 16,213.02

The inequality is; 1.05x + 1,500> 16,213.02 that represents the scenario.

D;  Using opposite operations on both sides of the inequality until you get x on one side of the inequality by itself.

1.05x + 1,500> 16,213.02

1.05x > 16,213.02 - 1,500

1.05x > 14,713.02

X > 14,713.02/1.05

X > 14,012.40

E:

The inequality is X> 14,012.04 means Nancy borrowed more than 14,012.40

F; Number 1 is correct. The graph of the inequality x > 14,012.40 that has an open circle on 14,012.40 and an arrow pointing to the right.

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Answer:

\(x = \frac{1}{4}\)

Step-by-step explanation:

\(\frac{x}{2} +\frac{3}{4} =\frac{7}{8}\)

→ Find the LCM of the denominators (2,4 and 8)

LCM = 8

→ Multiply the whole equation by 8 to get rid of the fractions

4x + 6 = 7

→ Minus 6 from both sides to isolate 4x

4x = 1

→ Divide both sides by 4 to isolate x

\(x = \frac{1}{4}\)

Answer:

Step-by-step explanation:

\( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \)

Multiply both sides of the equation by 8

\( \frac{x}{2} \times 8 + \frac{3}{4} \times 8 = \frac{7}{8} \)

\(4x + 6 = 7\)

Move constant to R.H.S and change its sign

\(4x = 7 - 6\)

Subtract the numbers

\(4x = 1\)

Divide both sides of the equation by 4

\( \frac{4x}{4} = \frac{1}{4} \)

Calculate

\(x = \frac{1}{4} \)

hope this helps..

Best regards!!

Answer:

10/12 or 5/6

Step-by-step explanation:

1/2 + 1/2 = 1

5/12 + 5/12 = 10/12 or 5/6

Answer:

5/6

Step-by-step explanation:

If 5/12 equals 1/2, then you multiply 5 and 2. You keep the denominator the same because you are adding. So you get 10/12 and then you simplify and you get 5/6.

\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root

What is a root ?

Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.

Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

3x^4 -10x^3 -9x^2 + 40x - 12

=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)

=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)

= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)

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The answer is 1/5^12.

Multiply the -6 by 2 to get 5^-12. Then, to make the exponent positive, move it to the denominator to get your answer, 1 over 5^12.

Answer:

25 cat owners!!!

Step-by-step explanation:

It's a ratio word problem...

5:6

Multiply both Numerator and Denominator by 5.

25:30

May I please have Brainliest??!??

- ElizabethKate

Answer: 19

Step-by-step explanation: So 6+5=11 then 30-11=19

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Step-by-step explanation:

and go outside take fresh air you breathe you get answers constrate answer